Details

analyze2.2s (8.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

842×	`associate-+l+_binary64_13651`
602×	`associate-+r+_binary64_13650`
562×	`*-commutative_binary64_13649`
547×	`associate-l_binary64_13659`
390×	`distribute-rgt-in_binary64_13668` `distribute-lft-in_binary64_13667`
361×	`associate-r_binary64_13658`
312×	`associate-/l*_binary64_13663`
224×	`distribute-rgt-out_binary64_13671`
169×	`associate-/r/_binary64_13664`
91×	`+-commutative_binary64_13648`
76×	`associate-/r*_binary64_13662`
53×	`associate-l/_binary64_13661` `associate-r/_binary64_13660`
42×	`sqr-pow_binary64_13690`
6×	`cube-unmult_binary64_13755`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-pow_binary64_13807` `log-rec_binary64_13806` `log-div_binary64_13805` `log-prod_binary64_13804` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `unpow3_binary64_13784` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `pow-plus_binary64_13781` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow1_binary64_13776` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-lft-sqr_binary64_13773` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `exp-prod_binary64_13770` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `exp-diff_binary64_13766` `exp-neg_binary64_13765` `exp-sum_binary64_13764` `e-exp-1_binary64_13763` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-mult_binary64_13748` `cube-div_binary64_13747` `cube-prod_binary64_13746` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `rem-sqrt-square_binary64_13731` `rem-square-sqrt_binary64_13730` `times-frac_binary64_13724` `div-sub_binary64_13723` `neg-mul-1_binary64_13714` `neg-sub0_binary64_13713` `unsub-neg_binary64_13712` `sub-neg_binary64_13711` `mul-1-neg_binary64_13710` `/-rgt-identity_binary64_13709` `-rgt-identity_binary64_13708` `-lft-identity_binary64_13707` `remove-double-neg_binary64_13706` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `*-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `pow-sqr_binary64_13691` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `difference-of-squares_binary64_13687` `unswap-sqr_binary64_13686` `swap-sqr_binary64_13685` `cancel-sign-sub-inv_binary64_13684` `cancel-sign-sub_binary64_13683` `distribute-neg-frac_binary64_13682` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-neg-in_binary64_13679` `distribute-rgt-neg-out_binary64_13678` `distribute-lft-neg-out_binary64_13677` `distribute-rgt-neg-in_binary64_13676` `distribute-lft-neg-in_binary64_13675` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `distribute-rgt-out--_binary64_13672` `distribute-lft-out--_binary64_13670` `distribute-lft-out_binary64_13669` `count-2_binary64_13666` `associate-/l/_binary64_13665` `associate--r-_binary64_13657` `associate--l-_binary64_13656` `associate--l+_binary64_13655` `associate--r+_binary64_13654` `associate-+l-_binary64_13653` `associate-+r-_binary64_13652`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	182	880
1	446	880
2	910	880
3	1999	880
4	3399	880
5	3839	880
6	4073	880
7	4201	880
8	4242	880
9	4257	880
10	4877	880
11	5057	880
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0.8%	98.9%	0.3%	13
1.2%	98.5%	0.3%	14

Compiler

Compiled 38 to 31 computations (18.4% saved)

sample41.0ms (0.2%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
3.0ms	33×	body	128	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify96.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

918×	`distribute-rgt-in_binary64_13668`
850×	`distribute-lft-in_binary64_13667`
677×	`associate-/l*_binary64_13663`
633×	`associate-+l+_binary64_13651`
547×	`associate-/r*_binary64_13662`
472×	`associate-/r/_binary64_13664`
403×	`associate-+r+_binary64_13650`
318×	`associate-l_binary64_13659`
254×	`*-commutative_binary64_13649`
227×	`associate-r_binary64_13658` `+-commutative_binary64_13648`
209×	`associate-*l/_binary64_13661`
189×	`unswap-sqr_binary64_13686`
154×	`associate-*r/_binary64_13660`
136×	`distribute-rgt-out_binary64_13671`
93×	`associate-/l/_binary64_13665`
40×	`distribute-lft-out_binary64_13669`
30×	`sqr-pow_binary64_13690`
7×	`cube-unmult_binary64_13755`
6×	`pow-plus_binary64_13781` `pow-sqr_binary64_13691`
5×	`unpow3_binary64_13784`
4×	`cube-prod_binary64_13746`
1×	`unpow2_binary64_13783` `unpow1/2_binary64_13782` `unpow1_binary64_13776` `1-exp_binary64_13762` `rem-sqrt-square_binary64_13731`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-pow_binary64_13807` `log-rec_binary64_13806` `log-div_binary64_13805` `log-prod_binary64_13804` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-lft-sqr_binary64_13773` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `exp-prod_binary64_13770` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `exp-diff_binary64_13766` `exp-neg_binary64_13765` `exp-sum_binary64_13764` `e-exp-1_binary64_13763` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-mult_binary64_13748` `cube-div_binary64_13747` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `rem-square-sqrt_binary64_13730` `times-frac_binary64_13724` `div-sub_binary64_13723` `neg-mul-1_binary64_13714` `neg-sub0_binary64_13713` `unsub-neg_binary64_13712` `sub-neg_binary64_13711` `mul-1-neg_binary64_13710` `/-rgt-identity_binary64_13709` `-rgt-identity_binary64_13708` `-lft-identity_binary64_13707` `remove-double-neg_binary64_13706` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `*-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `difference-of-squares_binary64_13687` `swap-sqr_binary64_13685` `cancel-sign-sub-inv_binary64_13684` `cancel-sign-sub_binary64_13683` `distribute-neg-frac_binary64_13682` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-neg-in_binary64_13679` `distribute-rgt-neg-out_binary64_13678` `distribute-lft-neg-out_binary64_13677` `distribute-rgt-neg-in_binary64_13676` `distribute-lft-neg-in_binary64_13675` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `distribute-rgt-out--_binary64_13672` `distribute-lft-out--_binary64_13670` `count-2_binary64_13666` `associate--r-_binary64_13657` `associate--l-_binary64_13656` `associate--l+_binary64_13655` `associate--r+_binary64_13654` `associate-+l-_binary64_13653` `associate-+r-_binary64_13652`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	55
1	56	55
2	115	55
3	228	55
4	564	55
5	1283	55
6	1870	55
7	2291	55
8	2906	55
9	3572	55
10	4036	55
11	4738	55
12	4955	55

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

29.0b

Counts

2 → 1

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
2.1b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
27.7b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))

rewrite360.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

27.4b

Rules

18×	`add-sqr-sqrt_binary64_13740`
15×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
12×	`add-cube-cbrt_binary64_13753` `*-un-lft-identity_binary64_13718`
10×	`pow1_binary64_13779`
9×	`associate-l_binary64_13659` `associate-r_binary64_13658`
5×	`flip3-+_binary64_13721` `flip-+_binary64_13692`
4×	`prod-exp_binary64_13767` `add-log-exp_binary64_13757` `cbrt-unprod_binary64_13751` `associate-r/_binary64_13660` `associate-l/_binary64_13661`
3×	`times-frac_binary64_13724` `associate-/r_binary64_13662` `pow-prod-down_binary64_13789` `unswap-sqr_binary64_13686` `-commutative_binary64_13649`
2×	`div-exp_binary64_13769` `cbrt-undiv_binary64_13752` `associate-/l/_binary64_13665` `associate-/r/_binary64_13664`
1×	`frac-2neg_binary64_13729` `clear-num_binary64_13717` `div-inv_binary64_13715` `associate-/l*_binary64_13663` `distribute-rgt-in_binary64_13668` `distribute-lft-in_binary64_13667`

Counts

4 → 87

Calls

4 calls:

33.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))
20.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
15.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
8.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

Compiler

Compiled 4664 to 3081 computations (33.9% saved)

series4.4s (17.3%)

Error

0.8b

Counts

4 → 96

Calls

4 calls:

2.7s	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 z 4288183283079449/281474976710656) z) 4428869650076171/140737488355328) z) 3360836715704971/281474976710656) z) 2737158995491925/4503599627370496))
951.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
389.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z)
75.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

Compiler

Compiled 11347 to 8779 computations (22.6% saved)

simplify568.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

694×	`times-frac_binary64_13724`
338×	`associate-r_binary64_13658`
324×	`associate-l_binary64_13659`
280×	`cancel-sign-sub-inv_binary64_13684`
197×	`*-commutative_binary64_13649`
179×	`distribute-rgt-in_binary64_13668`
174×	`+-commutative_binary64_13648`
172×	`distribute-lft-in_binary64_13667`
168×	`associate-+r+_binary64_13650`
128×	`associate-+l+_binary64_13651`
123×	`associate-/l*_binary64_13663`
101×	`sub-neg_binary64_13711`
54×	`sqr-pow_binary64_13690` `unswap-sqr_binary64_13686`
52×	`associate-*l/_binary64_13661`
50×	`*-rgt-identity_binary64_13708`
47×	`log-prod_binary64_13804`
46×	`associate-/r*_binary64_13662`
44×	`exp-prod_binary64_13770`
42×	`associate-*r/_binary64_13660`
37×	`neg-mul-1_binary64_13714` `neg-sub0_binary64_13713`
36×	`log-div_binary64_13805` `associate--l+_binary64_13655`
33×	`*-lft-identity_binary64_13707`
27×	`associate-/l/_binary64_13665` `associate-/r/_binary64_13664`
24×	`cube-prod_binary64_13746` `associate--r+_binary64_13654`
22×	`exp-sum_binary64_13764`
20×	`unsub-neg_binary64_13712`
19×	`unpow3_binary64_13784` `/-rgt-identity_binary64_13709` `swap-sqr_binary64_13685` `distribute-rgt-neg-in_binary64_13676`
15×	`distribute-lft-neg-in_binary64_13675`
14×	`cube-div_binary64_13747` `distribute-rgt-out_binary64_13671`
13×	`distribute-neg-in_binary64_13679`
9×	`cube-mult_binary64_13748`
8×	`log-rec_binary64_13806`
7×	`cube-unmult_binary64_13755`
6×	`div-sub_binary64_13723`
4×	`unpow1/2_binary64_13782` `distribute-neg-frac_binary64_13682`
3×	`log-pow_binary64_13807` `pow-sqr_binary64_13691` `distribute-lft-neg-out_binary64_13677` `distribute-lft-out_binary64_13669`
2×	`difference-of-squares_binary64_13687` `distribute-rgt-out--_binary64_13672`
1×	`unpow2_binary64_13783` `unpow1_binary64_13776` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `rem-sqrt-square_binary64_13731` `associate-+l-_binary64_13653` `associate-+r-_binary64_13652`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `pow-plus_binary64_13781` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-lft-sqr_binary64_13773` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `exp-diff_binary64_13766` `exp-neg_binary64_13765` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `rem-square-sqrt_binary64_13730` `mul-1-neg_binary64_13710` `remove-double-neg_binary64_13706` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `*-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `cancel-sign-sub_binary64_13683` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-rgt-neg-out_binary64_13678` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `distribute-lft-out--_binary64_13670` `count-2_binary64_13666` `associate--r-_binary64_13657` `associate--l-_binary64_13656`

Counts

183 → 159

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	348	8081
1	967	7461
2	3534	7461
3	4949	7461
4	4996	7461
5	4998	7461
6	4953	7461

prune496.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	152	7	159
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	152	8	160

Error

1.4b

Counts

160 → 8

Compiler

Compiled 8213 to 5240 computations (36.2% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 4503599627370496/2737158995491925 (.f64 b y)))
0.3b	(.f64 4503599627370496/2737158995491925 (.f64 b y))

rewrite41.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

7×	`pow1_binary64_13779` `add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
4×	`add-log-exp_binary64_13757`
3×	`pow-prod-down_binary64_13789` `prod-exp_binary64_13767` `add-cube-cbrt_binary64_13753` `cbrt-unprod_binary64_13751` `add-sqr-sqrt_binary64_13740` `-un-lft-identity_binary64_13718` `associate-l*_binary64_13659`
1×	`associate-r_binary64_13658` `*-commutative_binary64_13649` `sum-log_binary64_13809` `flip3-+_binary64_13721` `flip-+_binary64_13692` `+-commutative_binary64_13648`

Counts

2 → 29

Calls

2 calls:

5.0ms	(.f64 4503599627370496/2737158995491925 (.f64 b y))
4.0ms	(+.f64 x (.f64 4503599627370496/2737158995491925 (.f64 b y)))

Compiler

Compiled 398 to 226 computations (43.2% saved)

series255.0ms (1%)

Error

1.4b

Counts

2 → 24

Calls

2 calls:

159.0ms	(+.f64 x (.f64 4503599627370496/2737158995491925 (.f64 b y)))
83.0ms	(.f64 4503599627370496/2737158995491925 (.f64 b y))

Compiler

Compiled 373 to 431 computations (-15.5% saved)

simplify89.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

540×	`associate-l_binary64_13659`
393×	`associate-r_binary64_13658`
386×	`cancel-sign-sub-inv_binary64_13684`
384×	`distribute-rgt-out_binary64_13671`
359×	`distribute-lft-out_binary64_13669`
301×	`sub-neg_binary64_13711`
261×	`distribute-rgt-in_binary64_13668`
255×	`distribute-rgt-neg-in_binary64_13676`
238×	`distribute-lft-neg-in_binary64_13675`
232×	`distribute-lft-in_binary64_13667`
144×	`unsub-neg_binary64_13712` `*-commutative_binary64_13649`
125×	`neg-mul-1_binary64_13714`
123×	`neg-sub0_binary64_13713`
85×	`associate-+l+_binary64_13651`
81×	`associate-+r+_binary64_13650`
80×	`distribute-rgt-out--_binary64_13672`
74×	`associate-+l-_binary64_13653`
65×	`sqr-pow_binary64_13690`
54×	`associate-+r-_binary64_13652`
41×	`associate--r+_binary64_13654`
35×	`distribute-lft-out--_binary64_13670`
33×	`distribute-lft-neg-out_binary64_13677` `+-commutative_binary64_13648`
32×	`unswap-sqr_binary64_13686`
17×	`distribute-rgt-neg-out_binary64_13678`
15×	`pow-sqr_binary64_13691`
14×	`associate-/l*_binary64_13663`
12×	`exp-prod_binary64_13770` `sub0-neg_binary64_13705` `swap-sqr_binary64_13685` `associate-/l/_binary64_13665` `associate--l+_binary64_13655`
10×	`cube-prod_binary64_13746`
9×	`log-prod_binary64_13804` `unpow3_binary64_13784` `cube-unmult_binary64_13755` `distribute-neg-out_binary64_13680` `associate--r-_binary64_13657`
8×	`mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `associate-*r/_binary64_13660`
7×	`+-rgt-identity_binary64_13703`
6×	`exp-sum_binary64_13764` `distribute-neg-in_binary64_13679`
4×	`cube-mult_binary64_13748` `associate-/r/_binary64_13664`
3×	`associate--l-_binary64_13656`
2×	`pow-plus_binary64_13781` `exp-diff_binary64_13766` `difference-of-squares_binary64_13687` `count-2_binary64_13666`
1×	`prod-exp_binary64_13767` `exp-neg_binary64_13765` `1-exp_binary64_13762` `cube-neg_binary64_13745` `sqr-neg_binary64_13732` `times-frac_binary64_13724` `remove-double-neg_binary64_13706` `distribute-rgt1-in_binary64_13674`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-pow_binary64_13807` `log-rec_binary64_13806` `log-div_binary64_13805` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow1_binary64_13776` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-lft-sqr_binary64_13773` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `div-exp_binary64_13769` `rec-exp_binary64_13768` `e-exp-1_binary64_13763` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-div_binary64_13747` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `rem-sqrt-square_binary64_13731` `rem-square-sqrt_binary64_13730` `div-sub_binary64_13723` `mul-1-neg_binary64_13710` `/-rgt-identity_binary64_13709` `-rgt-identity_binary64_13708` `-lft-identity_binary64_13707` `--rgt-identity_binary64_13704` `+-lft-identity_binary64_13702` `div0_binary64_13699` `-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `cancel-sign-sub_binary64_13683` `distribute-neg-frac_binary64_13682` `distribute-frac-neg_binary64_13681` `distribute-lft1-in_binary64_13673` `associate-/r_binary64_13662` `associate-*l/_binary64_13661`

Counts

53 → 31

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	529
1	157	508
2	503	508
3	1587	508
4	3034	508
5	4805	508
6	5116	508

prune49.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	30	9	39

Error

1.4b

Counts

39 → 9

Compiler

Compiled 662 to 447 computations (32.5% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b))) (cbrt.f64 (.f64 4503599627370496/2737158995491925 (*.f64 y b))))
12.5b	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))
12.5b	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))
12.5b	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))

rewrite116.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

11×	`pow1_binary64_13779`
10×	`add-sqr-sqrt_binary64_13740`
9×	`pow1/3_binary64_13800`
8×	`add-cube-cbrt_binary64_13753` `*-un-lft-identity_binary64_13718`
7×	`cbrt-prod_binary64_13749`
6×	`add-exp-log_binary64_13756`
4×	`add-log-exp_binary64_13757` `add-cbrt-cube_binary64_13754` `swap-sqr_binary64_13685` `associate-l_binary64_13659` `associate-r_binary64_13658`
2×	`pow-prod-down_binary64_13789` `pow-prod-up_binary64_13788` `pow-sqr_binary64_13691`
1×	`pow2_binary64_13799` `pow-plus_binary64_13781` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `unswap-sqr_binary64_13686` `*-commutative_binary64_13649`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b))) (cbrt.f64 (.f64 4503599627370496/2737158995491925 (*.f64 y b))))
4.0ms	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))
4.0ms	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))
4.0ms	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))

Compiler

Compiled 1629 to 951 computations (41.6% saved)

series1.4s (5.5%)

Error

1.4b

Counts

4 → 24

Calls

4 calls:

441.0ms	(.f64 (cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b))) (cbrt.f64 (.f64 4503599627370496/2737158995491925 (*.f64 y b))))
316.0ms	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))
314.0ms	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))
307.0ms	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))

Compiler

Compiled 2022 to 1743 computations (13.8% saved)

simplify138.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

623×	`exp-diff_binary64_13766`
375×	`associate-l_binary64_13659`
344×	`exp-prod_binary64_13770`
287×	`associate-r_binary64_13658`
259×	`unswap-sqr_binary64_13686`
246×	`distribute-rgt-in_binary64_13668`
221×	`distribute-lft-in_binary64_13667`
189×	`log-div_binary64_13805`
158×	`associate--r+_binary64_13654`
147×	`log-prod_binary64_13804`
122×	`distribute-neg-out_binary64_13680`
118×	`exp-sum_binary64_13764`
114×	`*-commutative_binary64_13649`
102×	`unsub-neg_binary64_13712`
96×	`sqr-pow_binary64_13690` `associate--r-_binary64_13657`
85×	`associate--l+_binary64_13655`
82×	`div-sub_binary64_13723`
80×	`log-pow_binary64_13807`
79×	`associate-+l-_binary64_13653`
72×	`exp-to-pow_binary64_13780` `sub-neg_binary64_13711` `associate-/l*_binary64_13663`
59×	`associate--l-_binary64_13656`
58×	`distribute-rgt-neg-out_binary64_13678`
47×	`distribute-lft-neg-out_binary64_13677`
44×	`cancel-sign-sub-inv_binary64_13684`
41×	`distribute-lft-out_binary64_13669`
40×	`neg-sub0_binary64_13713`
38×	`prod-exp_binary64_13767` `swap-sqr_binary64_13685`
32×	`distribute-rgt-out_binary64_13671`
30×	`distribute-neg-in_binary64_13679`
26×	`neg-mul-1_binary64_13714` `distribute-rgt-neg-in_binary64_13676` `associate-/r*_binary64_13662` `associate-+r-_binary64_13652`
25×	`log-rec_binary64_13806`
24×	`unpow1/3_binary64_13785` `pow-plus_binary64_13781` `exp-neg_binary64_13765`
21×	`pow-sqr_binary64_13691`
20×	`distribute-frac-neg_binary64_13681`
19×	`rec-exp_binary64_13768`
18×	`cube-prod_binary64_13746` `*-rgt-identity_binary64_13708`
17×	`+-commutative_binary64_13648`
16×	`exp-lft-sqr_binary64_13773`
15×	`*-lft-identity_binary64_13707`
14×	`distribute-rgt-out--_binary64_13672`
12×	`unpow3_binary64_13784` `distribute-lft-neg-in_binary64_13675`
11×	`associate-/l/_binary64_13665` `associate-*r/_binary64_13660` `associate-+r+_binary64_13650`
10×	`distribute-lft-out--_binary64_13670`
9×	`cube-unmult_binary64_13755`
8×	`div-exp_binary64_13769`
7×	`unpow2_binary64_13783` `exp-sqrt_binary64_13771` `rem-sqrt-square_binary64_13731` `associate-+l+_binary64_13651`
6×	`unpow1/2_binary64_13782` `unpow1_binary64_13776` `rem-exp-log_binary64_13758` `+-rgt-identity_binary64_13703` `count-2_binary64_13666` `associate-/r/_binary64_13664`
4×	`remove-double-neg_binary64_13706` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704`
2×	`rem-3cbrt-lft_binary64_13743`
1×	`log-E_binary64_13808` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `rem-3cbrt-rft_binary64_13744` `rem-square-sqrt_binary64_13730`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `pow-base-0_binary64_13802` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-cbrt_binary64_13772` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `cube-mult_binary64_13748` `cube-div_binary64_13747` `cube-neg_binary64_13745` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `times-frac_binary64_13724` `mul-1-neg_binary64_13710` `/-rgt-identity_binary64_13709` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `difference-of-squares_binary64_13687` `cancel-sign-sub_binary64_13683` `distribute-neg-frac_binary64_13682` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `associate-l/_binary64_13661`

Counts

82 → 57

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	118	1339
1	242	1249
2	498	1108
3	1727	988
4	4227	928
5	4939	910
6	4740	910
7	5009	910

prune93.0ms (0.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	56	10	66

Error

1.4b

Counts

66 → 10

Compiler

Compiled 1597 to 1002 computations (37.3% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))
0.1b	(.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))
0.1b	(.f64 y (/.f64 (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))) (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (.f64 z (+.f64 z 4288183283079449/281474976710656)))))))))
26.6b	(/.f64 (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))) (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (*.f64 z (+.f64 z 4288183283079449/281474976710656))))))))

rewrite376.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

33×	`add-sqr-sqrt_binary64_13740`
24×	`add-cube-cbrt_binary64_13753` `*-un-lft-identity_binary64_13718`
21×	`associate-r_binary64_13658`
19×	`times-frac_binary64_13724`
15×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
10×	`pow1_binary64_13779`
9×	`associate-l_binary64_13659`
5×	`flip3-+_binary64_13721` `flip-+_binary64_13692` `associate-*r/_binary64_13660`
4×	`add-log-exp_binary64_13757` `associate-/r/_binary64_13664` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `unswap-sqr_binary64_13686`
3×	`associate-/l_binary64_13663` `associate-/r_binary64_13662` `pow-prod-down_binary64_13789` `*-commutative_binary64_13649`
2×	`div-exp_binary64_13769` `cbrt-undiv_binary64_13752` `div-inv_binary64_13715` `associate-/l/_binary64_13665` `distribute-rgt-in_binary64_13668` `distribute-lft-in_binary64_13667`
1×	`frac-2neg_binary64_13729` `clear-num_binary64_13717`

Counts

4 → 109

Calls

4 calls:

12.0ms	(.f64 y (/.f64 (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))) (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (.f64 z (+.f64 z 4288183283079449/281474976710656)))))))))
7.0ms	(/.f64 (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))) (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (*.f64 z (+.f64 z 4288183283079449/281474976710656))))))))
6.0ms	(.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))
6.0ms	(.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))

Compiler

Compiled 6380 to 4268 computations (33.1% saved)

series5.6s (21.8%)

Error

0.0b

Counts

4 → 93

Calls

4 calls:

2.7s	(.f64 y (/.f64 (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))) (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (.f64 z (+.f64 z 4288183283079449/281474976710656)))))))))
2.0s	(/.f64 (+.f64 b (.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))) (+.f64 2737158995491925/4503599627370496 (.f64 z (+.f64 3360836715704971/281474976710656 (.f64 z (+.f64 4428869650076171/140737488355328 (*.f64 z (+.f64 z 4288183283079449/281474976710656))))))))
405.0ms	(.f64 z (+.f64 a (.f64 z (+.f64 t (.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))))))
79.0ms	(.f64 z (+.f64 3143161857605767/281474976710656 (.f64 z 7049496828096731/2251799813685248)))

Compiler

Compiled 13190 to 10503 computations (20.4% saved)

simplify285.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

502×	`times-frac_binary64_13724`
428×	`associate-l_binary64_13659`
420×	`associate-r_binary64_13658`
240×	`*-commutative_binary64_13649`
226×	`distribute-rgt-in_binary64_13668`
217×	`distribute-lft-in_binary64_13667`
215×	`+-commutative_binary64_13648`
203×	`associate-+r+_binary64_13650`
165×	`associate-+l+_binary64_13651`
105×	`associate-/l*_binary64_13663`
72×	`cancel-sign-sub-inv_binary64_13684`
69×	`associate--l+_binary64_13655`
68×	`associate-/r*_binary64_13662`
64×	`associate-*r/_binary64_13660`
46×	`sub-neg_binary64_13711` `associate--r+_binary64_13654`
45×	`exp-prod_binary64_13770`
42×	`associate-*l/_binary64_13661`
37×	`distribute-rgt-neg-in_binary64_13676`
36×	`exp-sum_binary64_13764`
31×	`cube-prod_binary64_13746` `distribute-lft-neg-in_binary64_13675`
25×	`log-prod_binary64_13804` `distribute-neg-in_binary64_13679`
23×	`neg-mul-1_binary64_13714` `neg-sub0_binary64_13713`
21×	`associate-/l/_binary64_13665` `associate-/r/_binary64_13664`
18×	`sqr-pow_binary64_13690`
16×	`swap-sqr_binary64_13685` `distribute-rgt-out_binary64_13671`
9×	`cube-unmult_binary64_13755`
7×	`log-div_binary64_13805` `unpow3_binary64_13784` `cube-mult_binary64_13748`
5×	`distribute-lft-neg-out_binary64_13677` `distribute-lft-out_binary64_13669`
4×	`cube-div_binary64_13747` `distribute-rgt-out--_binary64_13672`
3×	`/-rgt-identity_binary64_13709` `distribute-neg-frac_binary64_13682`
2×	`unsub-neg_binary64_13712` `*-rgt-identity_binary64_13708` `unswap-sqr_binary64_13686` `associate-+l-_binary64_13653` `associate-+r-_binary64_13652`
1×	`log-pow_binary64_13807` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `unpow1_binary64_13776` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `rem-sqrt-square_binary64_13731` `difference-of-squares_binary64_13687`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_13981` `erf-erfc_binary64_13980` `erf-odd_binary64_13979` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or-not_binary64_13976` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `not-gte_binary64_13970` `not-lte_binary64_13969` `not-gt_binary64_13968` `not-lt_binary64_13967` `gte-same_binary64_13966` `lte-same_binary64_13965` `gt-same_binary64_13964` `lt-same_binary64_13963` `sinh---cosh_binary64_13910` `sinh-+-cosh_binary64_13909` `sinh-cosh_binary64_13908` `tanh-def-c_binary64_13907` `tanh-def-b_binary64_13906` `tanh-def-a_binary64_13905` `cosh-def_binary64_13904` `sinh-def_binary64_13903` `tan-neg_binary64_13850` `cos-neg_binary64_13849` `sin-neg_binary64_13848` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `hang-m-tan_binary64_13844` `hang-p-tan_binary64_13843` `hang-m0-tan_binary64_13842` `hang-p0-tan_binary64_13841` `hang-0m-tan_binary64_13840` `hang-0p-tan_binary64_13839` `tan-+PI/2_binary64_13838` `tan-+PI_binary64_13837` `tan-PI_binary64_13836` `tan-PI/3_binary64_13835` `tan-PI/4_binary64_13834` `tan-PI/6_binary64_13833` `cos-+PI/2_binary64_13832` `cos-+PI_binary64_13831` `cos-PI_binary64_13830` `cos-PI/2_binary64_13829` `cos-PI/3_binary64_13828` `cos-PI/4_binary64_13827` `cos-PI/6_binary64_13826` `sin-+PI/2_binary64_13825` `sin-+PI_binary64_13824` `sin-PI_binary64_13823` `sin-PI/2_binary64_13822` `sin-PI/3_binary64_13821` `sin-PI/4_binary64_13820` `sin-PI/6_binary64_13819` `sub-1-sin_binary64_13818` `sub-1-cos_binary64_13817` `-1-add-sin_binary64_13816` `-1-add-cos_binary64_13815` `1-sub-sin_binary64_13814` `1-sub-cos_binary64_13813` `cos-sin-sum_binary64_13812` `log-E_binary64_13808` `log-rec_binary64_13806` `pow-base-0_binary64_13802` `unpow1/3_binary64_13785` `pow-plus_binary64_13781` `exp-to-pow_binary64_13780` `pow-base-1_binary64_13778` `unpow0_binary64_13777` `unpow-1_binary64_13775` `exp-lft-cube_binary64_13774` `exp-lft-sqr_binary64_13773` `exp-cbrt_binary64_13772` `exp-sqrt_binary64_13771` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `exp-diff_binary64_13766` `exp-neg_binary64_13765` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `rem-3cbrt-lft_binary64_13743` `rem-cbrt-cube_binary64_13742` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `rem-square-sqrt_binary64_13730` `div-sub_binary64_13723` `mul-1-neg_binary64_13710` `-lft-identity_binary64_13707` `remove-double-neg_binary64_13706` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `-inverses_binary64_13698` `+-inverses_binary64_13697` `lft-mult-inverse_binary64_13696` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `pow-sqr_binary64_13691` `difference-of-sqr--1_binary64_13689` `difference-of-sqr-1_binary64_13688` `cancel-sign-sub_binary64_13683` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-rgt-neg-out_binary64_13678` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `distribute-lft-out--_binary64_13670` `count-2_binary64_13666` `associate--r-_binary64_13657` `associate--l-_binary64_13656`

Counts

202 → 161

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	413	11766
1	1188	10897
2	4353	10897
3	5067	10897

prune522.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	5	2	7
Picked	0	1	1
Done	1	1	2
Total	166	5	171

Error

0.0b

Counts

171 → 5

Compiler

Compiled 9229 to 6015 computations (34.8% saved)

regimes4.1s (16.1%)

Accuracy

Total 0.4b remaining (96.6%)

Threshold costs 0.4b (96.6%)

Compiler

Compiled 32640 to 27316 computations (16.3% saved)

bsearch115.0ms (0.5%)

Steps

Iters	Range		Point
9	4.493049501681784e+28	1.165033387782084e+36	2.9329027052371785e+29
8	-7.341124721144764e+21	-1.2634532758085357e+17	-2.9941039726021403e+19

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify12.0ms (0%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64_13648`
19×	`*-commutative_binary64_13649`
11×	`sub-neg_binary64_13711`
10×	`neg-mul-1_binary64_13714` `neg-sub0_binary64_13713`
4×	`unsub-neg_binary64_13712` `distribute-neg-in_binary64_13679`
3×	`distribute-neg-frac_binary64_13682`
2×	`distribute-rgt-neg-in_binary64_13676` `distribute-lft-neg-in_binary64_13675`
1×	`if-if-or-not_binary64_13976`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_13978` `if-if-and_binary64_13977` `if-if-or_binary64_13975` `if-not_binary64_13974` `if-same_binary64_13973` `if-false_binary64_13972` `if-true_binary64_13971` `tan-0_binary64_13847` `cos-0_binary64_13846` `sin-0_binary64_13845` `unpow1_binary64_13776` `e-exp-1_binary64_13763` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `mul-1-neg_binary64_13710` `/-rgt-identity_binary64_13709` `-rgt-identity_binary64_13708` `-lft-identity_binary64_13707` `remove-double-neg_binary64_13706` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `cancel-sign-sub-inv_binary64_13684` `cancel-sign-sub_binary64_13683` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-rgt-neg-out_binary64_13678` `distribute-lft-neg-out_binary64_13677`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	130
1	88	130
2	97	130
3	111	130
4	132	130
5	148	130
6	159	130
7	164	130
8	165	130
9	165	130

end0.0ms (0%)

sample4.1s (16%)

Algorithm

1×

intervals

Results

701.0ms	8000×	body	128	valid
72.0ms	872×	body	128	invalid

Compiler

Compiled 4209 to 3505 computations (16.7% saved)

Iter	Nodes	Cost
0	59	130
1	88	130
2	97	130
3	111	130
4	132	130
5	148	130
6	159	130
7	164	130
8	165	130
9	165	130

Iter	Nodes	Cost
0	59	130
1	88	130
2	97	130
3	111	130
4	132	130
5	148	130
6	159	130
7	164	130
8	165	130
9	165	130

Details

analyze2.2s (8.6%)

sample41.0ms (0.2%)

simplify96.0ms (0.4%)

prune5.0ms (0%)

localize30.0ms (0.1%)

rewrite360.0ms (1.4%)

series4.4s (17.3%)

simplify568.0ms (2.2%)

prune496.0ms (1.9%)

localize7.0ms (0%)

rewrite41.0ms (0.2%)

series255.0ms (1%)

simplify89.0ms (0.3%)

prune49.0ms (0.2%)

localize9.0ms (0%)

rewrite116.0ms (0.5%)

series1.4s (5.5%)

simplify138.0ms (0.5%)

prune93.0ms (0.4%)

localize24.0ms (0.1%)

rewrite376.0ms (1.5%)

series5.6s (21.8%)

simplify285.0ms (1.1%)

prune522.0ms (2%)

regimes4.1s (16.1%)

bsearch115.0ms (0.5%)

simplify12.0ms (0%)

end0.0ms (0%)

sample4.1s (16%)

Profiling

Iter	Nodes	Cost
0	59	130
1	88	130
2	97	130
3	111	130
4	132	130
5	148	130
6	159	130
7	164	130
8	165	130
9	165	130