Details

analyze2.3s (13.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

842×	`associate-+l+_binary64`
602×	`associate-+r+_binary64`
562×	`*-commutative_binary64`
547×	`associate-l_binary64`
390×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
361×	`associate-r_binary64`
312×	`associate-/l*_binary64`
224×	`distribute-rgt-out_binary64`
169×	`associate-/r/_binary64`
91×	`+-commutative_binary64`
76×	`associate-/r*_binary64`
53×	`associate-l/_binary64` `associate-r/_binary64`
42×	`sqr-pow_binary64`
6×	`cube-unmult_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64` `associate-/l/_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

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)

sample40.0ms (0.2%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
2.0ms	20×	body	128	invalid

Compiler

Compiled 75 to 67 computations (10.7% saved)

simplify100.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

918×	`distribute-rgt-in_binary64`
850×	`distribute-lft-in_binary64`
677×	`associate-/l*_binary64`
633×	`associate-+l+_binary64`
547×	`associate-/r*_binary64`
472×	`associate-/r/_binary64`
403×	`associate-+r+_binary64`
318×	`associate-l_binary64`
254×	`*-commutative_binary64`
227×	`associate-r_binary64` `+-commutative_binary64`
209×	`associate-*l/_binary64`
189×	`unswap-sqr_binary64`
154×	`associate-*r/_binary64`
136×	`distribute-rgt-out_binary64`
93×	`associate-/l/_binary64`
40×	`distribute-lft-out_binary64`
30×	`sqr-pow_binary64`
7×	`cube-unmult_binary64`
6×	`pow-plus_binary64` `pow-sqr_binary64`
5×	`unpow3_binary64`
4×	`cube-prod_binary64`
1×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `1-exp_binary64` `rem-sqrt-square_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `times-frac_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `swap-sqr_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

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

prune3.0ms (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

30.2b

Counts

2 → 1

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize24.0ms (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 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
3.9b	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
28.0b	(/.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))

rewrite316.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

28.1b

Rules

18×	`add-sqr-sqrt_binary64`
15×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
10×	`pow1_binary64`
9×	`associate-l_binary64` `associate-r_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-l/_binary64`
3×	`times-frac_binary64` `associate-/r_binary64` `pow-prod-down_binary64` `unswap-sqr_binary64` `-commutative_binary64`
2×	`div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64` `associate-/r/_binary64`
1×	`frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/l*_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`

Counts

4 → 87

Calls

4 calls:

28.0ms	(/.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))
21.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
11.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
7.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

Compiler

Compiled 4366 to 2893 computations (33.7% saved)

series928.0ms (5.6%)

Error

0.5b

Counts

4 → 87

Calls

4 calls:

557.0ms	(/.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))
201.0ms	(.f64 y (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z) a) z) b))
54.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z) t) z)
17.0ms	(.f64 (+.f64 (.f64 z 7049496828096731/2251799813685248) 3143161857605767/281474976710656) z)

Compiler

Compiled 8478 to 6728 computations (20.6% saved)

simplify255.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

690×	`times-frac_binary64`
332×	`associate-r_binary64`
322×	`associate-l_binary64`
278×	`cancel-sign-sub-inv_binary64`
193×	`*-commutative_binary64`
171×	`distribute-rgt-in_binary64`
164×	`distribute-lft-in_binary64`
162×	`+-commutative_binary64`
157×	`associate-+r+_binary64`
123×	`associate-/l*_binary64`
117×	`associate-+l+_binary64`
101×	`exp-prod_binary64` `sub-neg_binary64`
54×	`sqr-pow_binary64` `unswap-sqr_binary64`
52×	`associate-*l/_binary64`
51×	`*-rgt-identity_binary64`
47×	`log-prod_binary64`
46×	`associate-/r*_binary64`
42×	`associate-*r/_binary64`
37×	`neg-mul-1_binary64` `neg-sub0_binary64`
36×	`associate--l+_binary64`
34×	`*-lft-identity_binary64`
31×	`log-div_binary64`
27×	`associate-/l/_binary64` `associate-/r/_binary64`
25×	`exp-sum_binary64`
24×	`cube-prod_binary64` `associate--r+_binary64`
20×	`unsub-neg_binary64`
19×	`unpow3_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64` `distribute-rgt-neg-in_binary64`
16×	`distribute-rgt-out_binary64`
15×	`distribute-lft-neg-in_binary64`
14×	`cube-div_binary64`
13×	`distribute-neg-in_binary64`
9×	`cube-mult_binary64`
7×	`cube-unmult_binary64`
6×	`div-sub_binary64`
5×	`log-rec_binary64`
4×	`unpow1/2_binary64` `distribute-neg-frac_binary64`
3×	`pow-sqr_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-out_binary64`
2×	`log-pow_binary64` `difference-of-squares_binary64` `distribute-rgt-out--_binary64`
1×	`unpow2_binary64` `pow-plus_binary64` `unpow1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-sqrt-square_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

174 → 154

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	335	7721
1	940	7020
2	3488	7020
3	4904	7020
4	4964	7020

prune239.0ms (1.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	147	7	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	148	7	155

Error

2.7b

Counts

155 → 7

Compiler

Compiled 5087 to 3326 computations (34.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

0.4b	(.f64 4503599627370496/2737158995491925 (.f64 b y))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
1×	`add-log-exp_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 4503599627370496/2737158995491925 (*.f64 b y))

Compiler

Compiled 193 to 118 computations (38.9% saved)

series16.0ms (0.1%)

Error

2.7b

Counts

1 → 6

Calls

1 calls:

15.0ms

(*.f64 4503599627370496/2737158995491925 (*.f64 b y))

Compiler

Compiled 91 to 130 computations (-42.9% saved)

simplify97.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

658×	`log-div_binary64`
512×	`cube-div_binary64`
494×	`associate-/l*_binary64`
378×	`*-commutative_binary64`
371×	`associate-l_binary64`
245×	`associate-r_binary64`
204×	`sqr-pow_binary64`
200×	`associate-/l/_binary64`
194×	`log-prod_binary64`
192×	`cube-prod_binary64`
176×	`associate-/r*_binary64`
161×	`times-frac_binary64`
111×	`exp-prod_binary64`
94×	`unswap-sqr_binary64`
90×	`unpow3_binary64` `cube-mult_binary64` `pow-sqr_binary64`
69×	`associate-*r/_binary64`
68×	`associate-/r/_binary64`
64×	`swap-sqr_binary64`
62×	`associate-+r-_binary64`
50×	`associate-+l-_binary64`
42×	`log-rec_binary64`
33×	`associate--l-_binary64`
32×	`associate-+r+_binary64`
31×	`exp-sqrt_binary64`
30×	`prod-exp_binary64` `neg-mul-1_binary64`
29×	`associate-*l/_binary64`
27×	`sub-neg_binary64`
24×	`associate-+l+_binary64`
19×	`exp-lft-sqr_binary64`
16×	`/-rgt-identity_binary64`
15×	`remove-double-div_binary64`
14×	`rem-sqrt-square_binary64` `*-lft-identity_binary64`
8×	`associate--l+_binary64`
7×	`*-rgt-identity_binary64` `+-commutative_binary64`
4×	`cube-unmult_binary64`
2×	`unpow1_binary64` `rem-square-sqrt_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `neg-sub0_binary64` `unsub-neg_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `count-2_binary64` `associate--r-_binary64` `associate--r+_binary64`

Counts

24 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	234
1	84	198
2	268	198
3	710	198
4	919	198
5	1054	198
6	1271	198
7	1645	198
8	2523	198
9	4054	198
10	4990	198
11	5067	198

prune29.0ms (0.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	13	8	21

Error

2.7b

Counts

21 → 8

Compiler

Compiled 511 to 389 computations (23.9% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.3b	(.f64 (.f64 y b) (sqrt.f64 4503599627370496/2737158995491925))
0.3b	(.f64 (sqrt.f64 4503599627370496/2737158995491925) (.f64 (*.f64 y b) (sqrt.f64 4503599627370496/2737158995491925)))

rewrite91.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
7×	`associate-l_binary64` `associate-r_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64` `sqrt-prod_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

10.0ms	(.f64 (sqrt.f64 4503599627370496/2737158995491925) (.f64 (*.f64 y b) (sqrt.f64 4503599627370496/2737158995491925)))
6.0ms	(.f64 (.f64 y b) (sqrt.f64 4503599627370496/2737158995491925))

Compiler

Compiled 684 to 481 computations (29.7% saved)

series57.0ms (0.3%)

Error

2.7b

Counts

2 → 12

Calls

2 calls:

29.0ms	(.f64 (sqrt.f64 4503599627370496/2737158995491925) (.f64 (*.f64 y b) (sqrt.f64 4503599627370496/2737158995491925)))
25.0ms	(.f64 (.f64 y b) (sqrt.f64 4503599627370496/2737158995491925))

Compiler

Compiled 273 to 345 computations (-26.4% saved)

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

354×	`*-commutative_binary64`
344×	`unswap-sqr_binary64`
335×	`associate-/l*_binary64`
313×	`associate-/l/_binary64`
311×	`associate-*l/_binary64`
308×	`associate-/r/_binary64`
301×	`associate-+l+_binary64`
246×	`sqr-pow_binary64`
177×	`associate-l_binary64`
171×	`associate-+r+_binary64`
156×	`associate-r_binary64`
125×	`distribute-rgt-in_binary64`
113×	`distribute-lft-in_binary64`
103×	`associate-/r*_binary64`
101×	`pow-sqr_binary64`
91×	`times-frac_binary64`
89×	`swap-sqr_binary64`
71×	`exp-prod_binary64`
65×	`log-prod_binary64`
59×	`cube-prod_binary64`
54×	`associate-*r/_binary64`
27×	`+-commutative_binary64`
23×	`rem-sqrt-square_binary64`
22×	`distribute-lft-out_binary64`
19×	`distribute-rgt-out_binary64`
17×	`*-rgt-identity_binary64`
14×	`*-lft-identity_binary64`
9×	`log-div_binary64` `cube-div_binary64`
8×	`unpow1/2_binary64` `cube-unmult_binary64` `distribute-rgt1-in_binary64`
7×	`unpow3_binary64` `count-2_binary64`
6×	`cube-mult_binary64`
5×	`distribute-lft1-in_binary64`
4×	`log-pow_binary64` `/-rgt-identity_binary64`
3×	`pow-plus_binary64`
1×	`unpow2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-square-sqrt_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `neg-mul-1_binary64` `neg-sub0_binary64` `unsub-neg_binary64` `sub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

57 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	750
1	164	556
2	597	556
3	925	548
4	1343	548
5	2289	548
6	4915	548

prune53.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	39	10	49

Error

2.7b

Counts

49 → 10

Compiler

Compiled 725 to 569 computations (21.5% saved)

localize12.0ms (0.1%)

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))))
8.3b	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))
8.3b	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))
8.3b	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))

rewrite137.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

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)))
3.0ms	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))

Compiler

Compiled 1522 to 887 computations (41.7% saved)

series261.0ms (1.6%)

Error

2.7b

Counts

4 → 24

Calls

4 calls:

68.0ms	(.f64 (cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b))) (cbrt.f64 (.f64 4503599627370496/2737158995491925 (*.f64 y b))))
52.0ms	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))
52.0ms	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))
51.0ms	(cbrt.f64 (.f64 4503599627370496/2737158995491925 (.f64 y b)))

Compiler

Compiled 2022 to 1743 computations (13.8% saved)

simplify146.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

623×	`exp-diff_binary64`
375×	`associate-l_binary64`
344×	`exp-prod_binary64`
287×	`associate-r_binary64`
259×	`unswap-sqr_binary64`
246×	`distribute-rgt-in_binary64`
221×	`distribute-lft-in_binary64`
189×	`log-div_binary64`
158×	`associate--r+_binary64`
147×	`log-prod_binary64`
122×	`distribute-neg-out_binary64`
118×	`exp-sum_binary64`
114×	`*-commutative_binary64`
102×	`unsub-neg_binary64`
96×	`sqr-pow_binary64` `associate--r-_binary64`
85×	`associate--l+_binary64`
82×	`div-sub_binary64`
80×	`log-pow_binary64`
79×	`associate-+l-_binary64`
72×	`exp-to-pow_binary64` `sub-neg_binary64` `associate-/l*_binary64`
59×	`associate--l-_binary64`
58×	`distribute-rgt-neg-out_binary64`
47×	`distribute-lft-neg-out_binary64`
44×	`cancel-sign-sub-inv_binary64`
41×	`distribute-lft-out_binary64`
40×	`neg-sub0_binary64`
38×	`prod-exp_binary64` `swap-sqr_binary64`
32×	`distribute-rgt-out_binary64`
30×	`distribute-neg-in_binary64`
26×	`neg-mul-1_binary64` `distribute-rgt-neg-in_binary64` `associate-/r*_binary64` `associate-+r-_binary64`
25×	`log-rec_binary64`
24×	`unpow1/3_binary64` `pow-plus_binary64` `exp-neg_binary64`
21×	`pow-sqr_binary64`
20×	`distribute-frac-neg_binary64`
19×	`rec-exp_binary64`
18×	`cube-prod_binary64` `*-rgt-identity_binary64`
17×	`+-commutative_binary64`
16×	`exp-lft-sqr_binary64`
15×	`*-lft-identity_binary64`
14×	`distribute-rgt-out--_binary64`
12×	`unpow3_binary64` `distribute-lft-neg-in_binary64`
11×	`associate-/l/_binary64` `associate-*r/_binary64` `associate-+r+_binary64`
10×	`distribute-lft-out--_binary64`
9×	`cube-unmult_binary64`
8×	`div-exp_binary64`
7×	`unpow2_binary64` `exp-sqrt_binary64` `rem-sqrt-square_binary64` `associate-+l+_binary64`
6×	`unpow1/2_binary64` `unpow1_binary64` `rem-exp-log_binary64` `+-rgt-identity_binary64` `count-2_binary64` `associate-/r/_binary64`
4×	`remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64`
2×	`rem-3cbrt-lft_binary64`
1×	`log-E_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-rft_binary64` `rem-square-sqrt_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `pow-base-0_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `times-frac_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-neg-frac_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate-l/_binary64`

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

prune63.0ms (0.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	1	7	8
Picked	1	0	1
Done	1	0	1
Total	56	11	67

Error

2.6b

Counts

67 → 11

Compiler

Compiled 711 to 429 computations (39.7% saved)

regimes9.3s (56.3%)

Accuracy

Total -1.0b remaining (-53.5%)

Threshold costs -1.0b (-53.5%)

Compiler

Compiled 73628 to 62955 computations (14.5% saved)

bsearch114.0ms (0.7%)

Steps

Iters	Range		Point
10	2.392171503540408e+61	5.5658757347685146e+73	3.868507440137761e+67
9	-1.968029505139305e+34	-6.094862713736963e+28	-1.6887926911065685e+34
8	-3.168515816447597e+85	-1.2098945206804764e+83	-1.7009428391936115e+85

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative_binary64`
25×	`*-commutative_binary64`
12×	`sub-neg_binary64`
11×	`neg-mul-1_binary64` `neg-sub0_binary64`
8×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
4×	`unsub-neg_binary64` `distribute-neg-in_binary64`
3×	`distribute-neg-frac_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub-inv_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	166
1	100	166
2	109	166
3	128	166
4	157	166
5	174	166
6	190	166
7	197	166
8	200	166
9	201	166
10	198	166

end3.0ms (0%)

Compiler: Compiled 112 to 77 computations (31.3% saved)

sample1.8s (10.9%)

Algorithm

1×

intervals

Results

757.0ms	8000×	body	128	valid
83.0ms	893×	body	128	invalid

Compiler

Compiled 716 to 584 computations (18.4% saved)

Iter	Nodes	Cost
0	68	166
1	100	166
2	109	166
3	128	166
4	157	166
5	174	166
6	190	166
7	197	166
8	200	166
9	201	166
10	198	166

Iter	Nodes	Cost
0	68	166
1	100	166
2	109	166
3	128	166
4	157	166
5	174	166
6	190	166
7	197	166
8	200	166
9	201	166
10	198	166

Details

analyze2.3s (13.8%)

sample40.0ms (0.2%)

simplify100.0ms (0.6%)

prune3.0ms (0%)

localize24.0ms (0.1%)

rewrite316.0ms (1.9%)

series928.0ms (5.6%)

simplify255.0ms (1.6%)

prune239.0ms (1.5%)

localize5.0ms (0%)

rewrite34.0ms (0.2%)

series16.0ms (0.1%)

simplify97.0ms (0.6%)

prune29.0ms (0.2%)

localize7.0ms (0%)

rewrite91.0ms (0.6%)

series57.0ms (0.3%)

simplify76.0ms (0.5%)

prune53.0ms (0.3%)

localize12.0ms (0.1%)

rewrite137.0ms (0.8%)

series261.0ms (1.6%)

simplify146.0ms (0.9%)

prune63.0ms (0.4%)

regimes9.3s (56.3%)

bsearch114.0ms (0.7%)

simplify15.0ms (0.1%)

end3.0ms (0%)

sample1.8s (10.9%)

Profiling

Iter	Nodes	Cost
0	68	166
1	100	166
2	109	166
3	128	166
4	157	166
5	174	166
6	190	166
7	197	166
8	200	166
9	201	166
10	198	166