Details

analyze436.0ms (6.1%)

Algorithm

1×	search
2×	egg-herbie

Rules

1487×	`div-sub_binary64_13723`
708×	`unsub-neg_binary64_13712`
664×	`sub-neg_binary64_13711`
621×	`times-frac_binary64_13724`
503×	`distribute-rgt-in_binary64_13668`
470×	`distribute-lft-in_binary64_13667`
337×	`associate-/l*_binary64_13663`
239×	`cancel-sign-sub-inv_binary64_13684`
146×	`associate-/l/_binary64_13665`
144×	`neg-mul-1_binary64_13714`
114×	`distribute-neg-in_binary64_13679`
113×	`associate-/r*_binary64_13662`
111×	`distribute-rgt-neg-in_binary64_13676`
107×	`distribute-neg-frac_binary64_13682`
105×	`distribute-lft-neg-in_binary64_13675`
102×	`distribute-frac-neg_binary64_13681`
93×	`*-commutative_binary64_13649`
91×	`neg-sub0_binary64_13713` `distribute-lft-neg-out_binary64_13677`
83×	`associate--r-_binary64_13657` `associate--r+_binary64_13654`
72×	`associate--l-_binary64_13656`
67×	`distribute-rgt-neg-out_binary64_13678`
40×	`associate-/r/_binary64_13664`
38×	`+-commutative_binary64_13648`
30×	`remove-double-neg_binary64_13706`
27×	`/-rgt-identity_binary64_13709` `mul0-rgt_binary64_13701`
26×	`div0_binary64_13699` `associate-*l/_binary64_13661`
25×	`mul0-lft_binary64_13700`
23×	`*-lft-identity_binary64_13707`
20×	`associate-r_binary64_13658` `associate-+l-_binary64_13653`
19×	`remove-double-div_binary64_13694`
16×	`sub0-neg_binary64_13705` `--rgt-identity_binary64_13704`
15×	`lft-mult-inverse_binary64_13696`
12×	`associate-l_binary64_13659`
10×	`*-rgt-identity_binary64_13708` `associate-+r-_binary64_13652` `associate-+r+_binary64_13650`
8×	`distribute-rgt-out--_binary64_13672`
7×	`+-rgt-identity_binary64_13703`
6×	`cancel-sign-sub_binary64_13683`
4×	`distribute-neg-out_binary64_13680` `associate-+l+_binary64_13651`
3×	`+-lft-identity_binary64_13702` `*-inverses_binary64_13698` `rgt-mult-inverse_binary64_13695`
2×	`mul-1-neg_binary64_13710` `associate--l+_binary64_13655`
1×	`1-exp_binary64_13762`
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` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-unmult_binary64_13755` `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` `+-inverses_binary64_13697` `pow-sqr_binary64_13691` `sqr-pow_binary64_13690` `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` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `distribute-rgt-out_binary64_13671` `distribute-lft-out--_binary64_13670` `distribute-lft-out_binary64_13669` `count-2_binary64_13666` `associate-*r/_binary64_13660`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	35	40
2	57	40
3	94	40
4	179	40
5	331	40
6	748	40
7	1370	40
8	2251	40
9	1733	40
10	1837	40
11	1973	40
12	2067	40
13	1847	40
14	2343	40
15	1871	40
16	1871	40
17	2123	40
18	1883	40
19	1883	40
20	1883	40
21	1723	40
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify77.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

530×	`div-sub_binary64_13723`
326×	`times-frac_binary64_13724`
174×	`associate-/l/_binary64_13665`
166×	`sub-neg_binary64_13711`
160×	`associate-/l*_binary64_13663`
123×	`associate-/r*_binary64_13662`
121×	`associate-/r/_binary64_13664`
106×	`distribute-rgt-in_binary64_13668`
103×	`distribute-lft-in_binary64_13667`
92×	`cancel-sign-sub-inv_binary64_13684`
76×	`unsub-neg_binary64_13712`
61×	`distribute-neg-frac_binary64_13682`
41×	`distribute-frac-neg_binary64_13681`
40×	`neg-mul-1_binary64_13714`
34×	`associate-*l/_binary64_13661`
29×	`associate--r+_binary64_13654`
27×	`neg-sub0_binary64_13713` `associate--r-_binary64_13657` `associate--l-_binary64_13656`
24×	`*-commutative_binary64_13649`
23×	`distribute-rgt-neg-in_binary64_13676` `associate-*r/_binary64_13660`
22×	`associate-r_binary64_13658`
21×	`+-commutative_binary64_13648`
20×	`mul0-rgt_binary64_13701` `div0_binary64_13699` `distribute-lft-neg-out_binary64_13677`
19×	`distribute-rgt-neg-out_binary64_13678`
18×	`distribute-lft-neg-in_binary64_13675`
17×	`distribute-neg-in_binary64_13679`
15×	`*-lft-identity_binary64_13707` `mul0-lft_binary64_13700`
12×	`associate-l_binary64_13659`
11×	`sub0-neg_binary64_13705` `associate-+l-_binary64_13653`
9×	`associate-+l+_binary64_13651`
8×	`+-lft-identity_binary64_13702` `associate-+r-_binary64_13652`
6×	`*-rgt-identity_binary64_13708` `associate-+r+_binary64_13650`
5×	`+-rgt-identity_binary64_13703`
4×	`/-rgt-identity_binary64_13709` `lft-mult-inverse_binary64_13696`
3×	`remove-double-neg_binary64_13706` `distribute-neg-out_binary64_13680` `distribute-lft-out_binary64_13669`
2×	`mul-1-neg_binary64_13710` `*-inverses_binary64_13698` `associate--l+_binary64_13655`
1×	`1-exp_binary64_13762` `--rgt-identity_binary64_13704` `distribute-rgt-out--_binary64_13672`
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` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `cube-unmult_binary64_13755` `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` `+-inverses_binary64_13697` `rgt-mult-inverse_binary64_13695` `remove-double-div_binary64_13694` `pow-sqr_binary64_13691` `sqr-pow_binary64_13690` `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_binary64_13683` `distribute-rgt1-in_binary64_13674` `distribute-lft1-in_binary64_13673` `distribute-rgt-out_binary64_13671` `distribute-lft-out--_binary64_13670` `count-2_binary64_13666`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	21	10
3	35	10
4	59	10
5	105	10
6	198	10
7	371	10
8	664	10
9	998	10
10	1100	10
11	1117	10
12	1088	10
13	1095	10
14	1097	10
15	1105	10
16	1105	10
17	1003	10

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))

rewrite57.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718`
25×	`times-frac_binary64_13724`
13×	`add-cube-cbrt_binary64_13753`
12×	`difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670`
5×	`associate-/l_binary64_13663` `associate-/r_binary64_13662`
3×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
2×	`flip3--_binary64_13722` `associate-/l/_binary64_13665` `flip--_binary64_13693` `associate-/r/_binary64_13664`
1×	`pow1_binary64_13779` `div-exp_binary64_13769` `add-log-exp_binary64_13757` `cbrt-undiv_binary64_13752` `frac-2neg_binary64_13729` `div-sub_binary64_13723` `clear-num_binary64_13717` `div-inv_binary64_13715`

Counts

1 → 52

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 844 to 193 computations (77.1% saved)

series309.0ms (4.3%)

Error

0.0b

Counts

1 → 29

Calls

1 calls:

272.0ms

(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 1332 to 867 computations (34.9% saved)

simplify93.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

407×	`associate--l+_binary64_13655`
336×	`div-sub_binary64_13723`
276×	`associate--r+_binary64_13654`
256×	`associate-+l+_binary64_13651`
220×	`times-frac_binary64_13724`
219×	`associate-/l*_binary64_13663`
189×	`sub-neg_binary64_13711`
183×	`cancel-sign-sub-inv_binary64_13684`
178×	`associate-/r*_binary64_13662`
176×	`distribute-rgt-in_binary64_13668`
148×	`associate-*l/_binary64_13661`
147×	`distribute-lft-in_binary64_13667`
106×	`associate-l_binary64_13659`
102×	`associate-*r/_binary64_13660`
100×	`associate-r_binary64_13658`
93×	`associate-/l/_binary64_13665`
86×	`associate-/r/_binary64_13664`
73×	`associate-+l-_binary64_13653`
70×	`+-commutative_binary64_13648`
58×	`associate-+r-_binary64_13652`
49×	`distribute-neg-in_binary64_13679`
44×	`neg-sub0_binary64_13713`
42×	`neg-mul-1_binary64_13714`
36×	`unsub-neg_binary64_13712` `distribute-neg-frac_binary64_13682`
29×	`associate-+r+_binary64_13650`
21×	`*-commutative_binary64_13649`
20×	`distribute-rgt-neg-in_binary64_13676` `distribute-lft-neg-in_binary64_13675`
19×	`sqr-pow_binary64_13690`
17×	`distribute-lft-neg-out_binary64_13677`
15×	`cube-prod_binary64_13746` `distribute-rgt-neg-out_binary64_13678`
14×	`unswap-sqr_binary64_13686`
12×	`associate--l-_binary64_13656`
11×	`distribute-rgt-out_binary64_13671`
10×	`*-rgt-identity_binary64_13708` `distribute-rgt1-in_binary64_13674`
9×	`cube-unmult_binary64_13755`
7×	`cube-div_binary64_13747` `/-rgt-identity_binary64_13709`
5×	`pow-plus_binary64_13781` `exp-diff_binary64_13766` `distribute-rgt-out--_binary64_13672` `distribute-lft-out_binary64_13669`
4×	`unpow3_binary64_13784` `difference-of-squares_binary64_13687` `associate--r-_binary64_13657`
3×	`log-div_binary64_13805` `exp-prod_binary64_13770` `exp-sum_binary64_13764`
2×	`log-prod_binary64_13804` `unpow2_binary64_13783` `unpow1/2_binary64_13782` `unpow1_binary64_13776` `cube-mult_binary64_13748` `sqr-neg_binary64_13732` `rem-sqrt-square_binary64_13731` `mul-1-neg_binary64_13710`
1×	`1-exp_binary64_13762` `cube-neg_binary64_13745` `-lft-identity_binary64_13707` `remove-double-neg_binary64_13706` `div0_binary64_13699` `-inverses_binary64_13698`
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` `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` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `exp-neg_binary64_13765` `e-exp-1_binary64_13763` `exp-1-e_binary64_13761` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `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-square-sqrt_binary64_13730` `sub0-neg_binary64_13705` `--rgt-identity_binary64_13704` `+-rgt-identity_binary64_13703` `+-lft-identity_binary64_13702` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `+-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` `swap-sqr_binary64_13685` `cancel-sign-sub_binary64_13683` `distribute-frac-neg_binary64_13681` `distribute-neg-out_binary64_13680` `distribute-lft1-in_binary64_13673` `distribute-lft-out--_binary64_13670` `count-2_binary64_13666`

Counts

81 → 43

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	1932
1	423	1872
2	1285	1746
3	4717	1740
4	5341	1740

prune43.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	5	44

Error

0.0b

Counts

44 → 5

Compiler

Compiled 822 to 258 computations (68.6% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))
0.2b	(pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3)
20.4b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3))

rewrite273.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

165×	`add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718`
125×	`times-frac_binary64_13724`
68×	`cbrt-prod_binary64_13749`
62×	`unpow-prod-down_binary64_13797` `cube-prod_binary64_13746`
61×	`add-cube-cbrt_binary64_13753`
52×	`difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670`
10×	`associate-/r/_binary64_13664`
8×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
6×	`flip3--_binary64_13722` `flip--_binary64_13693`
5×	`div-inv_binary64_13715` `associate-/l_binary64_13663` `associate-/r_binary64_13662`
4×	`pow1_binary64_13779`
3×	`add-log-exp_binary64_13757` `pow-unpow_binary64_13795`
2×	`cube-div_binary64_13747` `unpow3_binary64_13784` `cube-mult_binary64_13748` `sqr-pow_binary64_13690` `div-exp_binary64_13769` `pow-exp_binary64_13786` `rem-cube-cbrt_binary64_13741` `cbrt-undiv_binary64_13752` `associate-/l/_binary64_13665`
1×	`pow1/3_binary64_13800` `cbrt-div_binary64_13750` `rem-cbrt-cube_binary64_13742` `pow-pow_binary64_13790` `pow-to-exp_binary64_13787` `frac-2neg_binary64_13729` `div-sub_binary64_13723` `clear-num_binary64_13717`

Counts

3 → 212

Calls

3 calls:

14.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3))
13.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3)
9.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 4611 to 1550 computations (66.4% saved)

series1.5s (20.3%)

Error

0.0b

Counts

3 → 94

Calls

3 calls:

694.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3)
308.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 z y)) 3))
277.0ms	(/.f64 (-.f64 x y) (-.f64 z y))

Compiler

Compiled 7074 to 5162 computations (27% saved)

simplify233.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

282×	`associate-/l*_binary64_13663`
275×	`times-frac_binary64_13724`
220×	`associate--l+_binary64_13655`
193×	`associate--r+_binary64_13654`
173×	`associate-/r*_binary64_13662`
153×	`associate-*l/_binary64_13661`
150×	`associate-*r/_binary64_13660`
146×	`associate-r_binary64_13658`
139×	`sub-neg_binary64_13711`
132×	`+-commutative_binary64_13648`
116×	`sqr-pow_binary64_13690`
98×	`associate-l_binary64_13659`
89×	`associate-+r+_binary64_13650`
69×	`*-commutative_binary64_13649`
67×	`log-div_binary64_13805`
58×	`distribute-neg-in_binary64_13679`
52×	`unpow3_binary64_13784` `cube-mult_binary64_13748`
44×	`associate-/r/_binary64_13664`
42×	`cube-div_binary64_13747` `associate-/l/_binary64_13665`
41×	`distribute-rgt-in_binary64_13668`
40×	`rem-cbrt-cube_binary64_13742` `distribute-lft-in_binary64_13667`
38×	`neg-sub0_binary64_13713` `cancel-sign-sub-inv_binary64_13684`
35×	`div-sub_binary64_13723`
32×	`neg-mul-1_binary64_13714`
24×	`unswap-sqr_binary64_13686`
14×	`log-pow_binary64_13807`
10×	`distribute-neg-frac_binary64_13682` `distribute-rgt-neg-in_binary64_13676`
9×	`mul-1-neg_binary64_13710` `distribute-lft-neg-in_binary64_13675`
8×	`log-prod_binary64_13804` `exp-prod_binary64_13770`
7×	`cube-prod_binary64_13746`
6×	`/-rgt-identity_binary64_13709` `swap-sqr_binary64_13685` `distribute-rgt-out_binary64_13671`
4×	`unpow1_binary64_13776` `pow-sqr_binary64_13691`
3×	`unpow2_binary64_13783` `rem-cube-cbrt_binary64_13741` `rem-sqrt-square_binary64_13731`
2×	`rem-square-sqrt_binary64_13730` `difference-of-squares_binary64_13687` `associate--r-_binary64_13657`
1×	`unpow1/2_binary64_13782` `pow-plus_binary64_13781` `exp-diff_binary64_13766` `exp-sum_binary64_13764` `1-exp_binary64_13762` `cube-unmult_binary64_13755` `rem-3cbrt-lft_binary64_13743` `*-inverses_binary64_13698` `distribute-lft-neg-out_binary64_13677` `distribute-rgt-out--_binary64_13672` `distribute-lft-out_binary64_13669`
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` `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-neg_binary64_13765` `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-neg_binary64_13745` `rem-3cbrt-rft_binary64_13744` `sqr-abs_binary64_13733` `sqr-neg_binary64_13732` `unsub-neg_binary64_13712` `-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_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--l-_binary64_13656` `associate-+l-_binary64_13653` `associate-+r-_binary64_13652` `associate-+l+_binary64_13651`

Counts

306 → 233

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	505	9789
1	1518	9405
2	4926	9405
3	5013	9405

prune270.0ms (3.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	230	3	233
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	233	5	238

Error

Counts

238 → 5

Compiler

Compiled 6021 to 2304 computations (61.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 z y))
0.2b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))

rewrite108.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

45×	`add-sqr-sqrt_binary64_13740`
39×	`*-un-lft-identity_binary64_13718`
32×	`times-frac_binary64_13724`
22×	`add-cube-cbrt_binary64_13753`
21×	`associate-r_binary64_13658`
15×	`add-exp-log_binary64_13756`
9×	`add-cbrt-cube_binary64_13754`
8×	`difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670`
5×	`pow1_binary64_13779` `associate-l_binary64_13659` `associate-/r*_binary64_13662`
4×	`div-exp_binary64_13769` `prod-exp_binary64_13767` `flip3--_binary64_13722` `flip--_binary64_13693` `associate-/r/_binary64_13664`
3×	`unswap-sqr_binary64_13686` `associate-/l*_binary64_13663`
2×	`1-exp_binary64_13762` `rec-exp_binary64_13768` `add-log-exp_binary64_13757` `cbrt-unprod_binary64_13751` `cbrt-undiv_binary64_13752` `frac-times_binary64_13728` `associate-*l/_binary64_13661` `div-inv_binary64_13715`
1×	`pow-prod-down_binary64_13789` `un-div-inv_binary64_13716` `associate-r/_binary64_13660` `-commutative_binary64_13649` `inv-pow_binary64_13803` `pow-flip_binary64_13792` `frac-2neg_binary64_13729` `clear-num_binary64_13717`

Counts

2 → 91

Calls

2 calls:

17.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
6.0ms	(/.f64 1 (-.f64 z y))

Compiler

Compiled 1549 to 665 computations (57.1% saved)

series410.0ms (5.7%)

Error

Counts

2 → 50

Calls

2 calls:

261.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 z y)))
94.0ms	(/.f64 1 (-.f64 z y))

Compiler

Compiled 2100 to 1425 computations (32.1% saved)

simplify110.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

325×	`associate-/l*_binary64_13663`
293×	`times-frac_binary64_13724`
291×	`distribute-rgt-in_binary64_13668`
265×	`distribute-lft-in_binary64_13667`
250×	`associate-*l/_binary64_13661`
216×	`div-sub_binary64_13723`
214×	`associate-*r/_binary64_13660`
199×	`associate-/r*_binary64_13662`
193×	`sub-neg_binary64_13711`
190×	`cancel-sign-sub-inv_binary64_13684`
131×	`associate-/r/_binary64_13664`
91×	`+-commutative_binary64_13648`
84×	`associate-/l/_binary64_13665`
74×	`associate-l_binary64_13659`
73×	`associate--l+_binary64_13655`
68×	`associate--r+_binary64_13654`
60×	`associate-r_binary64_13658`
58×	`distribute-neg-in_binary64_13679` `associate-+l+_binary64_13651`
57×	`*-commutative_binary64_13649`
44×	`associate-+r+_binary64_13650`
40×	`unsub-neg_binary64_13712`
37×	`neg-sub0_binary64_13713`
34×	`neg-mul-1_binary64_13714`
33×	`*-rgt-identity_binary64_13708`
32×	`exp-prod_binary64_13770`
29×	`distribute-lft-neg-out_binary64_13677`
28×	`sqr-pow_binary64_13690` `distribute-neg-frac_binary64_13682`
27×	`distribute-rgt-neg-out_binary64_13678`
24×	`distribute-rgt-neg-in_binary64_13676`
22×	`*-lft-identity_binary64_13707` `distribute-lft-neg-in_binary64_13675`
14×	`cube-prod_binary64_13746`
13×	`distribute-rgt1-in_binary64_13674`
12×	`exp-sum_binary64_13764` `cube-div_binary64_13747`
11×	`unswap-sqr_binary64_13686` `distribute-rgt-out_binary64_13671`
8×	`cube-unmult_binary64_13755` `/-rgt-identity_binary64_13709`
7×	`difference-of-squares_binary64_13687`
6×	`unpow3_binary64_13784` `exp-diff_binary64_13766` `associate-+r-_binary64_13652`
5×	`log-div_binary64_13805` `log-prod_binary64_13804` `distribute-lft-out_binary64_13669`
4×	`cube-mult_binary64_13748` `swap-sqr_binary64_13685`
3×	`unpow1/2_binary64_13782` `pow-plus_binary64_13781` `mul-1-neg_binary64_13710` `+-rgt-identity_binary64_13703` `distribute-rgt-out--_binary64_13672`
2×	`log-rec_binary64_13806` `unpow2_binary64_13783` `unpow1_binary64_13776` `exp-neg_binary64_13765` `rem-sqrt-square_binary64_13731` `associate-+l-_binary64_13653`
1×	`1-exp_binary64_13762` `exp-1-e_binary64_13761` `cube-neg_binary64_13745` `sqr-neg_binary64_13732` `remove-double-neg_binary64_13706` `sub0-neg_binary64_13705` `+-lft-identity_binary64_13702` `*-inverses_binary64_13698` `pow-sqr_binary64_13691` `distribute-neg-out_binary64_13680` `count-2_binary64_13666` `associate--r-_binary64_13657`
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` `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` `div-exp_binary64_13769` `rec-exp_binary64_13768` `prod-exp_binary64_13767` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-exp-log_binary64_13758` `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-square-sqrt_binary64_13730` `--rgt-identity_binary64_13704` `mul0-rgt_binary64_13701` `mul0-lft_binary64_13700` `div0_binary64_13699` `+-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-lft1-in_binary64_13673` `distribute-lft-out--_binary64_13670` `associate--l-_binary64_13656`

Counts

141 → 102

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	2634
1	494	2454
2	1719	2313
3	4499	2307
4	4982	2307

prune85.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	5	107

Error

Counts

107 → 5

Compiler

Compiled 1688 to 579 computations (65.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y))
0.3b	(.f64 (cbrt.f64 (.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y)))
0.6b	(cbrt.f64 (-.f64 x y))
25.8b	(cbrt.f64 (*.f64 (-.f64 x y) (-.f64 x y)))

rewrite256.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

117×	`add-sqr-sqrt_binary64_13740`
104×	`*-un-lft-identity_binary64_13718`
84×	`times-frac_binary64_13724`
67×	`cbrt-prod_binary64_13749`
46×	`add-cube-cbrt_binary64_13753` `associate-r_binary64_13658`
29×	`difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670`
28×	`cbrt-div_binary64_13750`
22×	`flip3--_binary64_13722` `flip--_binary64_13693`
20×	`frac-times_binary64_13728`
14×	`associate-*l/_binary64_13661`
11×	`add-exp-log_binary64_13756`
8×	`associate-/l*_binary64_13663`
7×	`add-cbrt-cube_binary64_13754` `associate-*r/_binary64_13660`
6×	`pow1_binary64_13779` `unswap-sqr_binary64_13686`
5×	`associate-/r*_binary64_13662`
4×	`add-log-exp_binary64_13757` `associate-l_binary64_13659` `associate-/r/_binary64_13664`
2×	`pow1/3_binary64_13800` `div-exp_binary64_13769` `prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `cbrt-undiv_binary64_13752` `div-inv_binary64_13715` `associate-/l/_binary64_13665`
1×	`pow-prod-down_binary64_13789` `*-commutative_binary64_13649` `frac-2neg_binary64_13729` `clear-num_binary64_13717`

Counts

4 → 187

Calls

4 calls:

25.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y)))
9.0ms	(/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y))
8.0ms	(cbrt.f64 (*.f64 (-.f64 x y) (-.f64 x y)))
3.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 5374 to 822 computations (84.7% saved)

series947.0ms (13.1%)

Error

Counts

4 → 66

Calls

4 calls:

317.0ms	(/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y))
288.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 x y) (-.f64 x y))) (/.f64 (cbrt.f64 (-.f64 x y)) (-.f64 z y)))
168.0ms	(cbrt.f64 (*.f64 (-.f64 x y) (-.f64 x y)))
92.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 3960 to 2610 computations (34.1% saved)

simplify331.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

786×	`times-frac_binary64_13724`
251×	`cancel-sign-sub-inv_binary64_13684`
207×	`sub-neg_binary64_13711`
186×	`associate-l_binary64_13659`
178×	`associate-r_binary64_13658`
160×	`associate-/l*_binary64_13663`
159×	`*-commutative_binary64_13649`
123×	`div-sub_binary64_13723`
111×	`unswap-sqr_binary64_13686`
102×	`associate-*r/_binary64_13660`
92×	`+-commutative_binary64_13648`
75×	`associate--l+_binary64_13655`
74×	`log-prod_binary64_13804`
67×	`sqr-pow_binary64_13690` `associate-*l/_binary64_13661`
65×	`associate-/r*_binary64_13662` `associate--r+_binary64_13654`
61×	`neg-sub0_binary64_13713`
60×	`associate-/l/_binary64_13665`
54×	`distribute-rgt-in_binary64_13668` `associate-+l+_binary64_13651`
52×	`distribute-lft-in_binary64_13667`
50×	`neg-mul-1_binary64_13714`
46×	`*-rgt-identity_binary64_13708`
38×	`associate-+r+_binary64_13650`
37×	`cube-prod_binary64_13746`
35×	`unsub-neg_binary64_13712` `*-lft-identity_binary64_13707`
34×	`exp-prod_binary64_13770`
32×	`log-div_binary64_13805` `unpow3_binary64_13784`
23×	`distribute-rgt-neg-in_binary64_13676`
21×	`log-pow_binary64_13807` `distribute-lft-neg-in_binary64_13675`
20×	`associate-/r/_binary64_13664`
17×	`cube-unmult_binary64_13755` `cube-div_binary64_13747` `swap-sqr_binary64_13685`
16×	`exp-sum_binary64_13764` `distribute-neg-in_binary64_13679`
15×	`pow-plus_binary64_13781`
14×	`/-rgt-identity_binary64_13709`
13×	`unpow1/3_binary64_13785` `mul-1-neg_binary64_13710`
9×	`exp-diff_binary64_13766`
8×	`difference-of-squares_binary64_13687`
7×	`cube-mult_binary64_13748` `rem-sqrt-square_binary64_13731`
6×	`pow-sqr_binary64_13691`
5×	`log-rec_binary64_13806` `distribute-neg-frac_binary64_13682` `distribute-rgt-out_binary64_13671`
4×	`unpow1/2_binary64_13782` `prod-exp_binary64_13767` `distribute-lft-out_binary64_13669`
3×	`unpow2_binary64_13783` `unpow1_binary64_13776` `div-exp_binary64_13769` `rem-exp-log_binary64_13758`
2×	`exp-to-pow_binary64_13780` `rem-3cbrt-lft_binary64_13743` `remove-double-neg_binary64_13706` `associate--r-_binary64_13657`
1×	`log-E_binary64_13808` `exp-neg_binary64_13765` `1-exp_binary64_13762` `exp-1-e_binary64_13761` `cube-neg_binary64_13745` `rem-cbrt-cube_binary64_13742` `sqr-neg_binary64_13732` `*-inverses_binary64_13698` `distribute-lft-neg-out_binary64_13677` `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` `pow-base-0_binary64_13802` `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` `rec-exp_binary64_13768` `e-exp-1_binary64_13763` `exp-0_binary64_13760` `rem-log-exp_binary64_13759` `rem-3cbrt-rft_binary64_13744` `rem-cube-cbrt_binary64_13741` `sqr-abs_binary64_13733` `rem-square-sqrt_binary64_13730` `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_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-rgt-out--_binary64_13672` `distribute-lft-out--_binary64_13670` `count-2_binary64_13666` `associate--l-_binary64_13656`

Counts

253 → 188

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	372	6805
1	884	6444
2	2930	6289
3	4670	5858
4	4889	5858
5	4994	5858
6	5000	5858
7	4950	5858

prune178.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	188	5	193

Error

Counts

193 → 5

Compiler

Compiled 4547 to 1059 computations (76.7% saved)

regimes343.0ms (4.8%)

Accuracy

Total 0.0b remaining (93.5%)

Threshold costs 0.0b (93.5%)

Compiler

Compiled 2728 to 2010 computations (26.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64_13711` `+-commutative_binary64_13648`
2×	`neg-mul-1_binary64_13714` `neg-sub0_binary64_13713` `*-commutative_binary64_13649`
1×	`distribute-neg-frac_binary64_13682`
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-not_binary64_13976` `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` `unsub-neg_binary64_13712` `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-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	12	16
2	21	16
3	25	16
4	27	16
5	27	16

end0.0ms (0%)

sample1.1s (15.6%)

Algorithm

1×

intervals

Results

197.0ms	8000×	body	128	valid
5.0ms	230×	body	128	invalid

Compiler

Compiled 674 to 495 computations (26.6% saved)

Details

analyze436.0ms (6.1%)

sample21.0ms (0.3%)

simplify77.0ms (1.1%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite57.0ms (0.8%)

series309.0ms (4.3%)

simplify93.0ms (1.3%)

prune43.0ms (0.6%)

localize10.0ms (0.1%)

rewrite273.0ms (3.8%)

series1.5s (20.3%)

simplify233.0ms (3.2%)

prune270.0ms (3.8%)

localize6.0ms (0.1%)

rewrite108.0ms (1.5%)

series410.0ms (5.7%)

simplify110.0ms (1.5%)

prune85.0ms (1.2%)

localize10.0ms (0.1%)

rewrite256.0ms (3.5%)

series947.0ms (13.1%)

simplify331.0ms (4.6%)

prune178.0ms (2.5%)

regimes343.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (15.6%)

Profiling