Details

analyze1.2s (7.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

890×	`times-frac_binary64_18498`
515×	`div-sub_binary64_18497`
502×	`unsub-neg_binary64_18486`
319×	`distribute-rgt-in_binary64_18442`
317×	`distribute-lft-in_binary64_18441`
315×	`sub-neg_binary64_18485`
225×	`distribute-rgt-neg-out_binary64_18452`
196×	`associate-+l+_binary64_18425`
182×	`associate-+r+_binary64_18424`
169×	`*-commutative_binary64_18423`
144×	`distribute-neg-in_binary64_18453`
143×	`cancel-sign-sub-inv_binary64_18458`
139×	`neg-sub0_binary64_18487`
123×	`distribute-frac-neg_binary64_18455`
112×	`associate-r_binary64_18432`
109×	`neg-mul-1_binary64_18488` `associate-l_binary64_18433`
98×	`+-commutative_binary64_18422`
73×	`distribute-neg-out_binary64_18454`
64×	`associate-/r/_binary64_18438`
59×	`distribute-neg-frac_binary64_18456`
55×	`distribute-lft-neg-out_binary64_18451`
44×	`associate-*l/_binary64_18435`
39×	`associate-+l-_binary64_18427` `associate-+r-_binary64_18426`
38×	`div0_binary64_18473`
35×	`mul0-rgt_binary64_18475` `mul0-lft_binary64_18474`
29×	`distribute-rgt-neg-in_binary64_18450`
28×	`associate--r+_binary64_18428`
25×	`sub0-neg_binary64_18479`
22×	`associate-/l_binary64_18437` `associate-r/_binary64_18434`
21×	`distribute-lft-neg-in_binary64_18449`
16×	`mul-1-neg_binary64_18484`
14×	`associate--r-_binary64_18431`
13×	`remove-double-neg_binary64_18480`
5×	`+-rgt-identity_binary64_18477`
1×	`1-exp_binary64_18536`
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_18755` `erf-erfc_binary64_18754` `erf-odd_binary64_18753` `if-if-and-not_binary64_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `not-gte_binary64_18744` `not-lte_binary64_18743` `not-gt_binary64_18742` `not-lt_binary64_18741` `gte-same_binary64_18740` `lte-same_binary64_18739` `gt-same_binary64_18738` `lt-same_binary64_18737` `sinh---cosh_binary64_18684` `sinh-+-cosh_binary64_18683` `sinh-cosh_binary64_18682` `tanh-def-c_binary64_18681` `tanh-def-b_binary64_18680` `tanh-def-a_binary64_18679` `cosh-def_binary64_18678` `sinh-def_binary64_18677` `tan-neg_binary64_18624` `cos-neg_binary64_18623` `sin-neg_binary64_18622` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `hang-m-tan_binary64_18618` `hang-p-tan_binary64_18617` `hang-m0-tan_binary64_18616` `hang-p0-tan_binary64_18615` `hang-0m-tan_binary64_18614` `hang-0p-tan_binary64_18613` `tan-+PI/2_binary64_18612` `tan-+PI_binary64_18611` `tan-PI_binary64_18610` `tan-PI/3_binary64_18609` `tan-PI/4_binary64_18608` `tan-PI/6_binary64_18607` `cos-+PI/2_binary64_18606` `cos-+PI_binary64_18605` `cos-PI_binary64_18604` `cos-PI/2_binary64_18603` `cos-PI/3_binary64_18602` `cos-PI/4_binary64_18601` `cos-PI/6_binary64_18600` `sin-+PI/2_binary64_18599` `sin-+PI_binary64_18598` `sin-PI_binary64_18597` `sin-PI/2_binary64_18596` `sin-PI/3_binary64_18595` `sin-PI/4_binary64_18594` `sin-PI/6_binary64_18593` `sub-1-sin_binary64_18592` `sub-1-cos_binary64_18591` `-1-add-sin_binary64_18590` `-1-add-cos_binary64_18589` `1-sub-sin_binary64_18588` `1-sub-cos_binary64_18587` `cos-sin-sum_binary64_18586` `log-E_binary64_18582` `log-pow_binary64_18581` `log-rec_binary64_18580` `log-div_binary64_18579` `log-prod_binary64_18578` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `unpow3_binary64_18558` `unpow2_binary64_18557` `unpow1/2_binary64_18556` `pow-plus_binary64_18555` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `exp-prod_binary64_18544` `div-exp_binary64_18543` `rec-exp_binary64_18542` `prod-exp_binary64_18541` `exp-diff_binary64_18540` `exp-neg_binary64_18539` `exp-sum_binary64_18538` `e-exp-1_binary64_18537` `exp-1-e_binary64_18535` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `cube-unmult_binary64_18529` `cube-mult_binary64_18522` `cube-div_binary64_18521` `cube-prod_binary64_18520` `cube-neg_binary64_18519` `rem-3cbrt-rft_binary64_18518` `rem-3cbrt-lft_binary64_18517` `rem-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `sqr-neg_binary64_18506` `rem-sqrt-square_binary64_18505` `rem-square-sqrt_binary64_18504` `/-rgt-identity_binary64_18483` `-rgt-identity_binary64_18482` `-lft-identity_binary64_18481` `--rgt-identity_binary64_18478` `+-lft-identity_binary64_18476` `-inverses_binary64_18472` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `remove-double-div_binary64_18468` `pow-sqr_binary64_18465` `sqr-pow_binary64_18464` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `difference-of-squares_binary64_18461` `unswap-sqr_binary64_18460` `swap-sqr_binary64_18459` `cancel-sign-sub_binary64_18457` `distribute-rgt1-in_binary64_18448` `distribute-lft1-in_binary64_18447` `distribute-rgt-out--_binary64_18446` `distribute-rgt-out_binary64_18445` `distribute-lft-out--_binary64_18444` `distribute-lft-out_binary64_18443` `count-2_binary64_18440` `associate-/l/_binary64_18439` `associate-/r_binary64_18436` `associate--l-_binary64_18430` `associate--l+_binary64_18429`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	209
1	119	209
2	361	209
3	1016	209
4	2802	209
5	4328	209
6	5273	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
1.8%	98%	0.2%	10
7.7%	92.1%	0.2%	11
10.4%	89.4%	0.2%	12
14.9%	84.9%	0.2%	13
16.2%	83.5%	0.3%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample35.0ms (0.2%)

Algorithm

1×

intervals

Results

13.0ms	218×	body	128	valid
2.0ms	16×	body	1024	valid
1.0ms	37×	body	128	invalid
1.0ms	12×	body	256	valid
1.0ms	7×	body	512	valid
1.0ms	3×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

821×	`unsub-neg_binary64_18486`
693×	`div-sub_binary64_18497`
663×	`neg-mul-1_binary64_18488`
635×	`neg-sub0_binary64_18487`
593×	`sub-neg_binary64_18485`
543×	`associate-/l*_binary64_18437`
374×	`distribute-frac-neg_binary64_18455`
359×	`distribute-neg-out_binary64_18454`
353×	`distribute-neg-in_binary64_18453`
349×	`distribute-rgt-in_binary64_18442`
242×	`distribute-lft-in_binary64_18441`
240×	`distribute-neg-frac_binary64_18456`
204×	`distribute-lft-neg-out_binary64_18451`
181×	`distribute-rgt-neg-out_binary64_18452`
136×	`distribute-rgt-neg-in_binary64_18450`
133×	`remove-double-neg_binary64_18480`
130×	`associate--r+_binary64_18428`
128×	`associate-+l+_binary64_18425`
122×	`associate-+r+_binary64_18424`
106×	`distribute-lft-neg-in_binary64_18449`
103×	`associate-+l-_binary64_18427`
102×	`cancel-sign-sub-inv_binary64_18458`
81×	`associate--l+_binary64_18429`
67×	`associate-/r/_binary64_18438` `+-commutative_binary64_18422`
60×	`times-frac_binary64_18498` `distribute-rgt-out_binary64_18445`
52×	`associate-r_binary64_18432`
50×	`distribute-lft-out_binary64_18443`
49×	`distribute-rgt-out--_binary64_18446`
45×	`associate-l_binary64_18433` `*-commutative_binary64_18423`
44×	`associate-/l/_binary64_18439`
36×	`associate-/r*_binary64_18436`
35×	`sub0-neg_binary64_18479`
32×	`/-rgt-identity_binary64_18483`
31×	`associate-+r-_binary64_18426`
29×	`div0_binary64_18473`
28×	`mul0-rgt_binary64_18475`
26×	`mul0-lft_binary64_18474` `distribute-lft-out--_binary64_18444` `associate-*l/_binary64_18435`
22×	`+-rgt-identity_binary64_18477`
19×	`*-lft-identity_binary64_18481`
17×	`associate-*r/_binary64_18434`
11×	`associate--r-_binary64_18431`
10×	`remove-double-div_binary64_18468`
8×	`associate--l-_binary64_18430`
7×	`mul-1-neg_binary64_18484`
4×	`*-rgt-identity_binary64_18482` `+-lft-identity_binary64_18476`
3×	`distribute-rgt1-in_binary64_18448`
2×	`--rgt-identity_binary64_18478` `*-inverses_binary64_18472`
1×	`1-exp_binary64_18536` `cancel-sign-sub_binary64_18457`
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_18755` `erf-erfc_binary64_18754` `erf-odd_binary64_18753` `if-if-and-not_binary64_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `not-gte_binary64_18744` `not-lte_binary64_18743` `not-gt_binary64_18742` `not-lt_binary64_18741` `gte-same_binary64_18740` `lte-same_binary64_18739` `gt-same_binary64_18738` `lt-same_binary64_18737` `sinh---cosh_binary64_18684` `sinh-+-cosh_binary64_18683` `sinh-cosh_binary64_18682` `tanh-def-c_binary64_18681` `tanh-def-b_binary64_18680` `tanh-def-a_binary64_18679` `cosh-def_binary64_18678` `sinh-def_binary64_18677` `tan-neg_binary64_18624` `cos-neg_binary64_18623` `sin-neg_binary64_18622` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `hang-m-tan_binary64_18618` `hang-p-tan_binary64_18617` `hang-m0-tan_binary64_18616` `hang-p0-tan_binary64_18615` `hang-0m-tan_binary64_18614` `hang-0p-tan_binary64_18613` `tan-+PI/2_binary64_18612` `tan-+PI_binary64_18611` `tan-PI_binary64_18610` `tan-PI/3_binary64_18609` `tan-PI/4_binary64_18608` `tan-PI/6_binary64_18607` `cos-+PI/2_binary64_18606` `cos-+PI_binary64_18605` `cos-PI_binary64_18604` `cos-PI/2_binary64_18603` `cos-PI/3_binary64_18602` `cos-PI/4_binary64_18601` `cos-PI/6_binary64_18600` `sin-+PI/2_binary64_18599` `sin-+PI_binary64_18598` `sin-PI_binary64_18597` `sin-PI/2_binary64_18596` `sin-PI/3_binary64_18595` `sin-PI/4_binary64_18594` `sin-PI/6_binary64_18593` `sub-1-sin_binary64_18592` `sub-1-cos_binary64_18591` `-1-add-sin_binary64_18590` `-1-add-cos_binary64_18589` `1-sub-sin_binary64_18588` `1-sub-cos_binary64_18587` `cos-sin-sum_binary64_18586` `log-E_binary64_18582` `log-pow_binary64_18581` `log-rec_binary64_18580` `log-div_binary64_18579` `log-prod_binary64_18578` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `unpow3_binary64_18558` `unpow2_binary64_18557` `unpow1/2_binary64_18556` `pow-plus_binary64_18555` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `exp-prod_binary64_18544` `div-exp_binary64_18543` `rec-exp_binary64_18542` `prod-exp_binary64_18541` `exp-diff_binary64_18540` `exp-neg_binary64_18539` `exp-sum_binary64_18538` `e-exp-1_binary64_18537` `exp-1-e_binary64_18535` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `cube-unmult_binary64_18529` `cube-mult_binary64_18522` `cube-div_binary64_18521` `cube-prod_binary64_18520` `cube-neg_binary64_18519` `rem-3cbrt-rft_binary64_18518` `rem-3cbrt-lft_binary64_18517` `rem-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `sqr-neg_binary64_18506` `rem-sqrt-square_binary64_18505` `rem-square-sqrt_binary64_18504` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `pow-sqr_binary64_18465` `sqr-pow_binary64_18464` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `difference-of-squares_binary64_18461` `unswap-sqr_binary64_18460` `swap-sqr_binary64_18459` `distribute-lft1-in_binary64_18447` `count-2_binary64_18440`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	21	19
2	52	19
3	136	19
4	377	19
5	842	19
6	2007	19
7	3779	19
8	3869	19
9	4636	19
10	4915	19

prune2.0ms (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

22.4b

Counts

1 → 1

Compiler

Compiled 13 to 11 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) (-.f64 z t))
2.3b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
15.9b	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))

rewrite144.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

9.8b

Rules

19×	`add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
13×	`flip3--_binary64_18496` `flip--_binary64_18467`
10×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
9×	`add-cube-cbrt_binary64_18527`
8×	`frac-times_binary64_18502` `associate-/l/_binary64_18439`
6×	`cancel-sign-sub-inv_binary64_18458`
5×	`pow1_binary64_18553` `add-log-exp_binary64_18531` `times-frac_binary64_18498` `associate-/r_binary64_18436` `associate-l_binary64_18433` `associate-r*_binary64_18432`
4×	`difference-of-squares_binary64_18461` `distribute-lft-out--_binary64_18444` `associate-l/_binary64_18435` `associate-r/_binary64_18434` `distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441`
2×	`prod-exp_binary64_18541` `div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `cbrt-unprod_binary64_18525` `associate-/r/_binary64_18438` `sub-neg_binary64_18485`
1×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `div-inv_binary64_18489` `associate-/l_binary64_18437` `sum-log_binary64_18583` `flip3-+_binary64_18495` `flip-+_binary64_18466` `distribute-lft-out_binary64_18443` `+-commutative_binary64_18422` `pow-prod-down_binary64_18563` `unswap-sqr_binary64_18460` `-commutative_binary64_18423`

Counts

3 → 85

Calls

3 calls:

14.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
11.0ms	(*.f64 (-.f64 y x) (-.f64 z t))
8.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))

Compiler

Compiled 1987 to 456 computations (77.1% saved)

series2.2s (13.8%)

Error

0.4b

Counts

3 → 86

Calls

3 calls:

1.2s	(+.f64 x (/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t)))
683.0ms	(/.f64 (*.f64 (-.f64 y x) (-.f64 z t)) (-.f64 a t))
279.0ms	(*.f64 (-.f64 y x) (-.f64 z t))

Compiler

Compiled 5766 to 2803 computations (51.4% saved)

simplify114.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

905×	`times-frac_binary64_18498`
202×	`div-sub_binary64_18497`
170×	`distribute-rgt-in_binary64_18442`
160×	`distribute-lft-in_binary64_18441`
154×	`associate-/l*_binary64_18437`
149×	`+-commutative_binary64_18422`
132×	`*-commutative_binary64_18423`
116×	`associate-l_binary64_18433`
114×	`associate--l+_binary64_18429`
105×	`sub-neg_binary64_18485`
104×	`associate-r_binary64_18432`
88×	`associate--r+_binary64_18428`
76×	`associate-+l+_binary64_18425`
70×	`associate-+r+_binary64_18424`
48×	`associate-/r/_binary64_18438`
47×	`associate-*l/_binary64_18435`
46×	`neg-sub0_binary64_18487` `associate-/r*_binary64_18436`
40×	`neg-mul-1_binary64_18488`
37×	`associate-*r/_binary64_18434`
34×	`distribute-neg-in_binary64_18453`
31×	`associate-/l/_binary64_18439`
26×	`distribute-rgt-neg-in_binary64_18450`
23×	`distribute-neg-frac_binary64_18456`
22×	`cancel-sign-sub-inv_binary64_18458`
21×	`cube-div_binary64_18521`
19×	`log-div_binary64_18579` `sqr-pow_binary64_18464`
18×	`distribute-lft-neg-in_binary64_18449`
11×	`exp-prod_binary64_18544`
10×	`unpow3_binary64_18558` `cube-prod_binary64_18520` `mul-1-neg_binary64_18484`
9×	`distribute-lft-neg-out_binary64_18451`
8×	`log-prod_binary64_18578` `exp-sum_binary64_18538` `cube-mult_binary64_18522`
7×	`exp-diff_binary64_18540` `difference-of-squares_binary64_18461`
6×	`distribute-rgt-neg-out_binary64_18452`
4×	`log-rec_binary64_18580` `cube-unmult_binary64_18529` `/-rgt-identity_binary64_18483` `swap-sqr_binary64_18459` `associate-+r-_binary64_18426`
2×	`unpow2_binary64_18557` `unpow1/2_binary64_18556` `unpow1_binary64_18550` `rem-sqrt-square_binary64_18505` `distribute-rgt-out_binary64_18445`
1×	`prod-exp_binary64_18541` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `rem-3cbrt-lft_binary64_18517` `rem-square-sqrt_binary64_18504` `*-rgt-identity_binary64_18482` `distribute-rgt-out--_binary64_18446` `associate--r-_binary64_18431` `associate-+l-_binary64_18427`
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_18755` `erf-erfc_binary64_18754` `erf-odd_binary64_18753` `if-if-and-not_binary64_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `not-gte_binary64_18744` `not-lte_binary64_18743` `not-gt_binary64_18742` `not-lt_binary64_18741` `gte-same_binary64_18740` `lte-same_binary64_18739` `gt-same_binary64_18738` `lt-same_binary64_18737` `sinh---cosh_binary64_18684` `sinh-+-cosh_binary64_18683` `sinh-cosh_binary64_18682` `tanh-def-c_binary64_18681` `tanh-def-b_binary64_18680` `tanh-def-a_binary64_18679` `cosh-def_binary64_18678` `sinh-def_binary64_18677` `tan-neg_binary64_18624` `cos-neg_binary64_18623` `sin-neg_binary64_18622` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `hang-m-tan_binary64_18618` `hang-p-tan_binary64_18617` `hang-m0-tan_binary64_18616` `hang-p0-tan_binary64_18615` `hang-0m-tan_binary64_18614` `hang-0p-tan_binary64_18613` `tan-+PI/2_binary64_18612` `tan-+PI_binary64_18611` `tan-PI_binary64_18610` `tan-PI/3_binary64_18609` `tan-PI/4_binary64_18608` `tan-PI/6_binary64_18607` `cos-+PI/2_binary64_18606` `cos-+PI_binary64_18605` `cos-PI_binary64_18604` `cos-PI/2_binary64_18603` `cos-PI/3_binary64_18602` `cos-PI/4_binary64_18601` `cos-PI/6_binary64_18600` `sin-+PI/2_binary64_18599` `sin-+PI_binary64_18598` `sin-PI_binary64_18597` `sin-PI/2_binary64_18596` `sin-PI/3_binary64_18595` `sin-PI/4_binary64_18594` `sin-PI/6_binary64_18593` `sub-1-sin_binary64_18592` `sub-1-cos_binary64_18591` `-1-add-sin_binary64_18590` `-1-add-cos_binary64_18589` `1-sub-sin_binary64_18588` `1-sub-cos_binary64_18587` `cos-sin-sum_binary64_18586` `log-E_binary64_18582` `log-pow_binary64_18581` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `pow-plus_binary64_18555` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `div-exp_binary64_18543` `rec-exp_binary64_18542` `exp-neg_binary64_18539` `e-exp-1_binary64_18537` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `cube-neg_binary64_18519` `rem-3cbrt-rft_binary64_18518` `rem-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `sqr-neg_binary64_18506` `unsub-neg_binary64_18486` `-lft-identity_binary64_18481` `remove-double-neg_binary64_18480` `sub0-neg_binary64_18479` `--rgt-identity_binary64_18478` `+-rgt-identity_binary64_18477` `+-lft-identity_binary64_18476` `mul0-rgt_binary64_18475` `mul0-lft_binary64_18474` `div0_binary64_18473` `-inverses_binary64_18472` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `remove-double-div_binary64_18468` `pow-sqr_binary64_18465` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `unswap-sqr_binary64_18460` `cancel-sign-sub_binary64_18457` `distribute-frac-neg_binary64_18455` `distribute-neg-out_binary64_18454` `distribute-rgt1-in_binary64_18448` `distribute-lft1-in_binary64_18447` `distribute-lft-out--_binary64_18444` `distribute-lft-out_binary64_18443` `count-2_binary64_18440` `associate--l-_binary64_18430`

Counts

171 → 130

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	4227
1	903	3984
2	3226	3972
3	5035	3972

prune144.0ms (0.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	123	7	130
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	7	131

Error

0.3b

Counts

131 → 7

Compiler

Compiled 3193 to 517 computations (83.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 a t))
1.2b	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
2.3b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

rewrite160.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

78×	`add-sqr-sqrt_binary64_18514`
73×	`*-un-lft-identity_binary64_18492`
51×	`times-frac_binary64_18498`
31×	`associate-r_binary64_18432`
27×	`add-cube-cbrt_binary64_18527`
23×	`difference-of-squares_binary64_18461` `distribute-lft-out--_binary64_18444`
10×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
5×	`add-log-exp_binary64_18531` `pow1_binary64_18553` `flip3--_binary64_18496` `flip--_binary64_18467` `associate-l_binary64_18433` `associate-/l_binary64_18437` `associate-/r_binary64_18436`
4×	`associate-/r/_binary64_18438`
2×	`div-exp_binary64_18543` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `cbrt-undiv_binary64_18526` `frac-times_binary64_18502` `unswap-sqr_binary64_18460` `associate-*l/_binary64_18435` `div-inv_binary64_18489` `associate-/l/_binary64_18439`
1×	`sum-log_binary64_18583` `flip3-+_binary64_18495` `flip-+_binary64_18466` `+-commutative_binary64_18422` `pow-prod-down_binary64_18563` `associate-r/_binary64_18434` `-commutative_binary64_18423` `frac-2neg_binary64_18503` `div-sub_binary64_18497` `clear-num_binary64_18491`

Counts

3 → 119

Calls

3 calls:

20.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
9.0ms	(/.f64 (-.f64 z t) (-.f64 a t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))

Compiler

Compiled 2779 to 576 computations (79.3% saved)

series2.2s (13.8%)

Error

0.3b

Counts

3 → 83

Calls

3 calls:

1.2s	(+.f64 x (*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t))))
714.0ms	(*.f64 (-.f64 y x) (/.f64 (-.f64 z t) (-.f64 a t)))
237.0ms	(/.f64 (-.f64 z t) (-.f64 a t))

Compiler

Compiled 5817 to 2975 computations (48.9% saved)

simplify173.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

365×	`times-frac_binary64_18498`
351×	`div-sub_binary64_18497`
346×	`sub-neg_binary64_18485`
329×	`cancel-sign-sub-inv_binary64_18458`
169×	`+-commutative_binary64_18422`
149×	`associate-/l*_binary64_18437`
142×	`distribute-neg-in_binary64_18453`
136×	`associate--l+_binary64_18429`
118×	`*-commutative_binary64_18423`
117×	`associate-l_binary64_18433`
113×	`distribute-rgt-in_binary64_18442`
112×	`associate-r_binary64_18432`
108×	`distribute-lft-in_binary64_18441`
101×	`associate--r+_binary64_18428`
97×	`neg-sub0_binary64_18487`
90×	`distribute-neg-frac_binary64_18456`
84×	`neg-mul-1_binary64_18488` `associate-+l+_binary64_18425`
74×	`associate-+r+_binary64_18424`
72×	`associate-*r/_binary64_18434`
66×	`unsub-neg_binary64_18486`
51×	`associate-/r*_binary64_18436`
49×	`associate-*l/_binary64_18435`
44×	`associate-/r/_binary64_18438`
42×	`*-rgt-identity_binary64_18482` `associate-/l/_binary64_18439`
36×	`sqr-pow_binary64_18464`
32×	`cube-prod_binary64_18520`
29×	`exp-prod_binary64_18544` `*-lft-identity_binary64_18481`
25×	`distribute-rgt-neg-in_binary64_18450`
20×	`log-prod_binary64_18578`
18×	`exp-sum_binary64_18538` `unswap-sqr_binary64_18460`
17×	`distribute-lft-neg-in_binary64_18449`
13×	`mul-1-neg_binary64_18484`
12×	`unpow3_binary64_18558` `/-rgt-identity_binary64_18483`
11×	`log-div_binary64_18579` `cube-div_binary64_18521`
10×	`exp-diff_binary64_18540`
8×	`difference-of-squares_binary64_18461`
7×	`cube-mult_binary64_18522`
5×	`cube-unmult_binary64_18529` `distribute-lft-neg-out_binary64_18451`
4×	`swap-sqr_binary64_18459`
3×	`unpow1/2_binary64_18556`
2×	`unpow2_binary64_18557` `pow-plus_binary64_18555` `unpow1_binary64_18550` `cube-neg_binary64_18519` `sqr-neg_binary64_18506` `rem-sqrt-square_binary64_18505` `remove-double-neg_binary64_18480` `distribute-rgt-out--_binary64_18446` `distribute-rgt-out_binary64_18445` `associate--r-_binary64_18431` `associate-+l-_binary64_18427` `associate-+r-_binary64_18426`
1×	`prod-exp_binary64_18541` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `div0_binary64_18473` `*-inverses_binary64_18472` `pow-sqr_binary64_18465`
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_18755` `erf-erfc_binary64_18754` `erf-odd_binary64_18753` `if-if-and-not_binary64_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `not-gte_binary64_18744` `not-lte_binary64_18743` `not-gt_binary64_18742` `not-lt_binary64_18741` `gte-same_binary64_18740` `lte-same_binary64_18739` `gt-same_binary64_18738` `lt-same_binary64_18737` `sinh---cosh_binary64_18684` `sinh-+-cosh_binary64_18683` `sinh-cosh_binary64_18682` `tanh-def-c_binary64_18681` `tanh-def-b_binary64_18680` `tanh-def-a_binary64_18679` `cosh-def_binary64_18678` `sinh-def_binary64_18677` `tan-neg_binary64_18624` `cos-neg_binary64_18623` `sin-neg_binary64_18622` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `hang-m-tan_binary64_18618` `hang-p-tan_binary64_18617` `hang-m0-tan_binary64_18616` `hang-p0-tan_binary64_18615` `hang-0m-tan_binary64_18614` `hang-0p-tan_binary64_18613` `tan-+PI/2_binary64_18612` `tan-+PI_binary64_18611` `tan-PI_binary64_18610` `tan-PI/3_binary64_18609` `tan-PI/4_binary64_18608` `tan-PI/6_binary64_18607` `cos-+PI/2_binary64_18606` `cos-+PI_binary64_18605` `cos-PI_binary64_18604` `cos-PI/2_binary64_18603` `cos-PI/3_binary64_18602` `cos-PI/4_binary64_18601` `cos-PI/6_binary64_18600` `sin-+PI/2_binary64_18599` `sin-+PI_binary64_18598` `sin-PI_binary64_18597` `sin-PI/2_binary64_18596` `sin-PI/3_binary64_18595` `sin-PI/4_binary64_18594` `sin-PI/6_binary64_18593` `sub-1-sin_binary64_18592` `sub-1-cos_binary64_18591` `-1-add-sin_binary64_18590` `-1-add-cos_binary64_18589` `1-sub-sin_binary64_18588` `1-sub-cos_binary64_18587` `cos-sin-sum_binary64_18586` `log-E_binary64_18582` `log-pow_binary64_18581` `log-rec_binary64_18580` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `div-exp_binary64_18543` `rec-exp_binary64_18542` `exp-neg_binary64_18539` `e-exp-1_binary64_18537` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `rem-3cbrt-rft_binary64_18518` `rem-3cbrt-lft_binary64_18517` `rem-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `rem-square-sqrt_binary64_18504` `sub0-neg_binary64_18479` `--rgt-identity_binary64_18478` `+-rgt-identity_binary64_18477` `+-lft-identity_binary64_18476` `mul0-rgt_binary64_18475` `mul0-lft_binary64_18474` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `remove-double-div_binary64_18468` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `cancel-sign-sub_binary64_18457` `distribute-frac-neg_binary64_18455` `distribute-neg-out_binary64_18454` `distribute-rgt-neg-out_binary64_18452` `distribute-rgt1-in_binary64_18448` `distribute-lft1-in_binary64_18447` `distribute-lft-out--_binary64_18444` `distribute-lft-out_binary64_18443` `count-2_binary64_18440` `associate--l-_binary64_18430`

Counts

202 → 134

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	346	5001
1	958	4701
2	3242	4689
3	4773	4689
4	5324	4689

prune132.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	131	3	134
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	133	8	141

Error

0.3b

Counts

141 → 8

Compiler

Compiled 3191 to 506 computations (84.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 y x))
0.7b	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 (-.f64 y x)))
0.9b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 (-.f64 y x))))
7.0b	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 (-.f64 y x)))))

rewrite306.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

114×	`cbrt-div_binary64_18524`
84×	`frac-times_binary64_18502`
58×	`flip3--_binary64_18496` `flip--_binary64_18467`
52×	`add-sqr-sqrt_binary64_18514`
42×	`*-un-lft-identity_binary64_18492`
37×	`associate-*r/_binary64_18434`
32×	`associate-l_binary64_18433`
30×	`add-exp-log_binary64_18530` `associate-*l/_binary64_18435`
27×	`times-frac_binary64_18498`
18×	`pow1_binary64_18553` `add-cbrt-cube_binary64_18528` `add-cube-cbrt_binary64_18527`
15×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`
12×	`cbrt-prod_binary64_18523` `difference-of-squares_binary64_18461` `distribute-lft-out--_binary64_18444`
9×	`pow-prod-down_binary64_18563` `associate-r_binary64_18432`
6×	`add-log-exp_binary64_18531`
4×	`unswap-sqr_binary64_18460`
3×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
2×	`*-commutative_binary64_18423` `associate-/r/_binary64_18438`
1×	`sum-log_binary64_18583` `flip3-+_binary64_18495` `flip-+_binary64_18466` `+-commutative_binary64_18422` `div-inv_binary64_18489` `pow1/3_binary64_18574`

Counts

4 → 166

Calls

4 calls:

32.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 (-.f64 y x))))
21.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 (-.f64 y x)))
5.0ms	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 (-.f64 y x)))))
3.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 6742 to 1148 computations (83% saved)

series3.1s (19.3%)

Error

0.3b

Counts

4 → 94

Calls

4 calls:

1.4s	(+.f64 x (.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 (-.f64 y x)))))
782.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 (-.f64 y x)))
744.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 (-.f64 z t) (-.f64 a t)) (cbrt.f64 (-.f64 y x))))
108.0ms	(cbrt.f64 (-.f64 y x))

Compiler

Compiled 8145 to 4322 computations (46.9% saved)

simplify218.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

493×	`associate-r_binary64_18432`
451×	`associate-l_binary64_18433`
354×	`times-frac_binary64_18498`
313×	`*-commutative_binary64_18423`
174×	`+-commutative_binary64_18422`
170×	`associate-/l*_binary64_18437`
133×	`associate--l+_binary64_18429`
120×	`sub-neg_binary64_18485`
109×	`distribute-rgt-in_binary64_18442`
108×	`associate-*l/_binary64_18435`
103×	`associate-*r/_binary64_18434`
102×	`distribute-lft-in_binary64_18441`
98×	`associate--r+_binary64_18428`
92×	`associate-+l+_binary64_18425`
82×	`associate-+r+_binary64_18424`
57×	`exp-prod_binary64_18544`
51×	`neg-sub0_binary64_18487`
43×	`log-prod_binary64_18578` `cancel-sign-sub-inv_binary64_18458` `associate-/r/_binary64_18438` `associate-/r*_binary64_18436`
40×	`neg-mul-1_binary64_18488`
35×	`distribute-neg-in_binary64_18453`
34×	`distribute-rgt-neg-in_binary64_18450`
31×	`cube-prod_binary64_18520`
29×	`sqr-pow_binary64_18464`
28×	`div-sub_binary64_18497`
25×	`distribute-neg-frac_binary64_18456`
24×	`distribute-lft-neg-in_binary64_18449`
20×	`exp-sum_binary64_18538`
19×	`mul-1-neg_binary64_18484`
11×	`cube-unmult_binary64_18529`
10×	`log-div_binary64_18579`
8×	`unpow3_binary64_18558` `swap-sqr_binary64_18459` `distribute-rgt-out_binary64_18445`
7×	`cube-div_binary64_18521` `unswap-sqr_binary64_18460` `distribute-lft-neg-out_binary64_18451`
6×	`unpow1/3_binary64_18559` `cube-mult_binary64_18522` `rem-sqrt-square_binary64_18505` `distribute-rgt-out--_binary64_18446`
5×	`exp-diff_binary64_18540` `rem-3cbrt-lft_binary64_18517` `associate-+r-_binary64_18426`
4×	`log-pow_binary64_18581` `pow-plus_binary64_18555`
3×	`unpow2_binary64_18557` `unpow1/2_binary64_18556` `unpow1_binary64_18550` `difference-of-squares_binary64_18461` `distribute-rgt-neg-out_binary64_18452` `associate-+l-_binary64_18427`
2×	`rem-3cbrt-rft_binary64_18518` `*-rgt-identity_binary64_18482` `distribute-lft-out--_binary64_18444`
1×	`log-rec_binary64_18580` `prod-exp_binary64_18541` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `rem-cube-cbrt_binary64_18515` `-lft-identity_binary64_18481` `remove-double-neg_binary64_18480` `-inverses_binary64_18472` `pow-sqr_binary64_18465` `distribute-rgt1-in_binary64_18448` `distribute-lft1-in_binary64_18447` `count-2_binary64_18440` `associate--r-_binary64_18431`
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_18755` `erf-erfc_binary64_18754` `erf-odd_binary64_18753` `if-if-and-not_binary64_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `not-gte_binary64_18744` `not-lte_binary64_18743` `not-gt_binary64_18742` `not-lt_binary64_18741` `gte-same_binary64_18740` `lte-same_binary64_18739` `gt-same_binary64_18738` `lt-same_binary64_18737` `sinh---cosh_binary64_18684` `sinh-+-cosh_binary64_18683` `sinh-cosh_binary64_18682` `tanh-def-c_binary64_18681` `tanh-def-b_binary64_18680` `tanh-def-a_binary64_18679` `cosh-def_binary64_18678` `sinh-def_binary64_18677` `tan-neg_binary64_18624` `cos-neg_binary64_18623` `sin-neg_binary64_18622` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `hang-m-tan_binary64_18618` `hang-p-tan_binary64_18617` `hang-m0-tan_binary64_18616` `hang-p0-tan_binary64_18615` `hang-0m-tan_binary64_18614` `hang-0p-tan_binary64_18613` `tan-+PI/2_binary64_18612` `tan-+PI_binary64_18611` `tan-PI_binary64_18610` `tan-PI/3_binary64_18609` `tan-PI/4_binary64_18608` `tan-PI/6_binary64_18607` `cos-+PI/2_binary64_18606` `cos-+PI_binary64_18605` `cos-PI_binary64_18604` `cos-PI/2_binary64_18603` `cos-PI/3_binary64_18602` `cos-PI/4_binary64_18601` `cos-PI/6_binary64_18600` `sin-+PI/2_binary64_18599` `sin-+PI_binary64_18598` `sin-PI_binary64_18597` `sin-PI/2_binary64_18596` `sin-PI/3_binary64_18595` `sin-PI/4_binary64_18594` `sin-PI/6_binary64_18593` `sub-1-sin_binary64_18592` `sub-1-cos_binary64_18591` `-1-add-sin_binary64_18590` `-1-add-cos_binary64_18589` `1-sub-sin_binary64_18588` `1-sub-cos_binary64_18587` `cos-sin-sum_binary64_18586` `log-E_binary64_18582` `pow-base-0_binary64_18576` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `div-exp_binary64_18543` `rec-exp_binary64_18542` `exp-neg_binary64_18539` `e-exp-1_binary64_18537` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `cube-neg_binary64_18519` `rem-cbrt-cube_binary64_18516` `sqr-abs_binary64_18507` `sqr-neg_binary64_18506` `rem-square-sqrt_binary64_18504` `unsub-neg_binary64_18486` `/-rgt-identity_binary64_18483` `sub0-neg_binary64_18479` `--rgt-identity_binary64_18478` `+-rgt-identity_binary64_18477` `+-lft-identity_binary64_18476` `mul0-rgt_binary64_18475` `mul0-lft_binary64_18474` `div0_binary64_18473` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `remove-double-div_binary64_18468` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `cancel-sign-sub_binary64_18457` `distribute-frac-neg_binary64_18455` `distribute-neg-out_binary64_18454` `distribute-lft-out_binary64_18443` `associate-/l/_binary64_18439` `associate--l-_binary64_18430`

Counts

260 → 209

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	519	9531
1	1404	8268
2	4361	8146
3	5030	8146

prune233.0ms (1.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	209	8	217

Error

0.3b

Counts

217 → 8

Compiler

Compiled 6793 to 1263 computations (81.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.4b	(+.f64 x (/.f64 (*.f64 t x) (-.f64 a t)))
7.2b	(*.f64 (/.f64 z (-.f64 a t)) (-.f64 y x))
10.3b	(/.f64 (*.f64 t x) (-.f64 a t))
10.6b	(/.f64 (*.f64 y t) (-.f64 a t))

rewrite199.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

41×	`add-sqr-sqrt_binary64_18514`
38×	`*-un-lft-identity_binary64_18492`
26×	`times-frac_binary64_18498`
21×	`associate-l_binary64_18433`
20×	`add-cube-cbrt_binary64_18527`
19×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
10×	`associate-/r*_binary64_18436`
8×	`difference-of-squares_binary64_18461` `distribute-lft-out--_binary64_18444`
6×	`pow1_binary64_18553` `add-log-exp_binary64_18531` `associate-/r/_binary64_18438` `cancel-sign-sub-inv_binary64_18458`
5×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `flip3--_binary64_18496` `flip--_binary64_18467` `associate-r_binary64_18432`
4×	`prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441`
3×	`div-inv_binary64_18489`
2×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `associate-/l_binary64_18437` `frac-times_binary64_18502` `unswap-sqr_binary64_18460` `sub-neg_binary64_18485` `associate-r/_binary64_18434`
1×	`pow-prod-down_binary64_18563` `associate-l/_binary64_18435` `-commutative_binary64_18423` `sum-log_binary64_18583` `flip3-+_binary64_18495` `flip-+_binary64_18466` `distribute-lft-out_binary64_18443` `+-commutative_binary64_18422`

Counts

4 → 120

Calls

4 calls:

14.0ms	(*.f64 (/.f64 z (-.f64 a t)) (-.f64 y x))
8.0ms	(+.f64 x (/.f64 (*.f64 t x) (-.f64 a t)))
7.0ms	(/.f64 (*.f64 y t) (-.f64 a t))
7.0ms	(/.f64 (*.f64 t x) (-.f64 a t))

Compiler

Compiled 4236 to 662 computations (84.4% saved)

series1.1s (6.9%)

Error

0.3b

Counts

4 → 72

Calls

4 calls:

504.0ms	(*.f64 (/.f64 z (-.f64 a t)) (-.f64 y x))
185.0ms	(+.f64 x (/.f64 (*.f64 t x) (-.f64 a t)))
182.0ms	(/.f64 (*.f64 y t) (-.f64 a t))
170.0ms	(/.f64 (*.f64 t x) (-.f64 a t))

Compiler

Compiled 5901 to 2639 computations (55.3% saved)

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

464×	`associate-/l/_binary64_18439`
425×	`distribute-rgt-in_binary64_18442`
383×	`distribute-lft-in_binary64_18441`
208×	`associate-/l*_binary64_18437`
159×	`associate-l_binary64_18433`
139×	`*-commutative_binary64_18423`
135×	`associate-*l/_binary64_18435`
132×	`associate-r_binary64_18432`
119×	`times-frac_binary64_18498`
104×	`cancel-sign-sub-inv_binary64_18458`
101×	`sub-neg_binary64_18485`
100×	`associate-*r/_binary64_18434`
81×	`unswap-sqr_binary64_18460`
76×	`distribute-rgt-neg-in_binary64_18450`
74×	`distribute-neg-frac_binary64_18456`
71×	`associate-/r/_binary64_18438`
65×	`distribute-lft-neg-in_binary64_18449`
64×	`associate-/r*_binary64_18436`
61×	`distribute-lft-neg-out_binary64_18451`
59×	`div-sub_binary64_18497`
57×	`neg-sub0_binary64_18487` `distribute-rgt-neg-out_binary64_18452`
52×	`+-commutative_binary64_18422`
49×	`neg-mul-1_binary64_18488`
41×	`sqr-pow_binary64_18464`
35×	`log-div_binary64_18579` `*-rgt-identity_binary64_18482`
30×	`log-prod_binary64_18578`
28×	`cube-div_binary64_18521`
22×	`cube-prod_binary64_18520` `swap-sqr_binary64_18459` `distribute-rgt-out_binary64_18445`
19×	`exp-prod_binary64_18544`
18×	`unsub-neg_binary64_18486`
16×	`*-lft-identity_binary64_18481`
15×	`distribute-neg-in_binary64_18453` `distribute-rgt-out--_binary64_18446`
12×	`associate--l+_binary64_18429` `associate--r+_binary64_18428`
9×	`unpow3_binary64_18558` `distribute-rgt1-in_binary64_18448` `associate-+l+_binary64_18425`
8×	`cube-unmult_binary64_18529` `mul-1-neg_binary64_18484` `difference-of-squares_binary64_18461`
7×	`cube-mult_binary64_18522`
6×	`exp-sum_binary64_18538`
5×	`/-rgt-identity_binary64_18483` `associate-+r+_binary64_18424`
4×	`distribute-lft-out_binary64_18443`
3×	`exp-diff_binary64_18540` `rem-sqrt-square_binary64_18505` `associate-+l-_binary64_18427` `associate-+r-_binary64_18426`
2×	`log-rec_binary64_18580` `unpow2_binary64_18557` `unpow1/2_binary64_18556` `unpow1_binary64_18550`
1×	`log-pow_binary64_18581` `prod-exp_binary64_18541` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `rem-3cbrt-lft_binary64_18517` `rem-square-sqrt_binary64_18504` `remove-double-neg_binary64_18480` `sub0-neg_binary64_18479` `+-rgt-identity_binary64_18477` `*-inverses_binary64_18472` `pow-sqr_binary64_18465` `cancel-sign-sub_binary64_18457` `distribute-lft-out--_binary64_18444` `associate--r-_binary64_18431`
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_18755` `erf-erfc_binary64_18754` `erf-odd_binary64_18753` `if-if-and-not_binary64_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `not-gte_binary64_18744` `not-lte_binary64_18743` `not-gt_binary64_18742` `not-lt_binary64_18741` `gte-same_binary64_18740` `lte-same_binary64_18739` `gt-same_binary64_18738` `lt-same_binary64_18737` `sinh---cosh_binary64_18684` `sinh-+-cosh_binary64_18683` `sinh-cosh_binary64_18682` `tanh-def-c_binary64_18681` `tanh-def-b_binary64_18680` `tanh-def-a_binary64_18679` `cosh-def_binary64_18678` `sinh-def_binary64_18677` `tan-neg_binary64_18624` `cos-neg_binary64_18623` `sin-neg_binary64_18622` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `hang-m-tan_binary64_18618` `hang-p-tan_binary64_18617` `hang-m0-tan_binary64_18616` `hang-p0-tan_binary64_18615` `hang-0m-tan_binary64_18614` `hang-0p-tan_binary64_18613` `tan-+PI/2_binary64_18612` `tan-+PI_binary64_18611` `tan-PI_binary64_18610` `tan-PI/3_binary64_18609` `tan-PI/4_binary64_18608` `tan-PI/6_binary64_18607` `cos-+PI/2_binary64_18606` `cos-+PI_binary64_18605` `cos-PI_binary64_18604` `cos-PI/2_binary64_18603` `cos-PI/3_binary64_18602` `cos-PI/4_binary64_18601` `cos-PI/6_binary64_18600` `sin-+PI/2_binary64_18599` `sin-+PI_binary64_18598` `sin-PI_binary64_18597` `sin-PI/2_binary64_18596` `sin-PI/3_binary64_18595` `sin-PI/4_binary64_18594` `sin-PI/6_binary64_18593` `sub-1-sin_binary64_18592` `sub-1-cos_binary64_18591` `-1-add-sin_binary64_18590` `-1-add-cos_binary64_18589` `1-sub-sin_binary64_18588` `1-sub-cos_binary64_18587` `cos-sin-sum_binary64_18586` `log-E_binary64_18582` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `pow-plus_binary64_18555` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `div-exp_binary64_18543` `rec-exp_binary64_18542` `exp-neg_binary64_18539` `e-exp-1_binary64_18537` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `cube-neg_binary64_18519` `rem-3cbrt-rft_binary64_18518` `rem-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `sqr-neg_binary64_18506` `--rgt-identity_binary64_18478` `+-lft-identity_binary64_18476` `mul0-rgt_binary64_18475` `mul0-lft_binary64_18474` `div0_binary64_18473` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `remove-double-div_binary64_18468` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `distribute-frac-neg_binary64_18455` `distribute-neg-out_binary64_18454` `distribute-lft1-in_binary64_18447` `count-2_binary64_18440` `associate--l-_binary64_18430`

Counts

192 → 130

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	3078
1	779	2904
2	2525	2793
3	5299	2793

prune140.0ms (0.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	130	8	138

Error

0.0b

Counts

138 → 8

Compiler

Compiled 4115 to 511 computations (87.6% saved)

regimes1.7s (10.5%)

Accuracy

Total 6.3b remaining (92.5%)

Threshold costs 0b (0%)

Compiler

Compiled 12648 to 8692 computations (31.3% saved)

bsearch6.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64_18422`
16×	`*-commutative_binary64_18423`
14×	`sub-neg_binary64_18485`
10×	`neg-mul-1_binary64_18488` `neg-sub0_binary64_18487`
4×	`distribute-rgt-neg-in_binary64_18450` `distribute-lft-neg-in_binary64_18449`
2×	`unsub-neg_binary64_18486` `distribute-neg-frac_binary64_18456` `distribute-neg-in_binary64_18453`
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_18752` `if-if-and_binary64_18751` `if-if-or-not_binary64_18750` `if-if-or_binary64_18749` `if-not_binary64_18748` `if-same_binary64_18747` `if-false_binary64_18746` `if-true_binary64_18745` `tan-0_binary64_18621` `cos-0_binary64_18620` `sin-0_binary64_18619` `unpow1_binary64_18550` `e-exp-1_binary64_18537` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `exp-0_binary64_18534` `sqr-abs_binary64_18507` `sqr-neg_binary64_18506` `mul-1-neg_binary64_18484` `/-rgt-identity_binary64_18483` `-rgt-identity_binary64_18482` `-lft-identity_binary64_18481` `remove-double-neg_binary64_18480` `sub0-neg_binary64_18479` `--rgt-identity_binary64_18478` `+-rgt-identity_binary64_18477` `+-lft-identity_binary64_18476` `cancel-sign-sub-inv_binary64_18458` `cancel-sign-sub_binary64_18457` `distribute-frac-neg_binary64_18455` `distribute-neg-out_binary64_18454` `distribute-rgt-neg-out_binary64_18452` `distribute-lft-neg-out_binary64_18451`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	123
1	56	123
2	71	123
3	87	123
4	109	123
5	121	123
6	129	123
7	132	123
8	132	123

end0.0ms (0%)

sample2.4s (14.6%)

Algorithm

1×

intervals

Results

293.0ms	6696×	body	128	valid
52.0ms	372×	body	1024	valid
50.0ms	477×	body	512	valid
47.0ms	1234×	body	128	invalid
28.0ms	397×	body	256	valid
10.0ms	58×	body	2048	valid

Compiler

Compiled 2237 to 1507 computations (32.6% saved)

Details

analyze1.2s (7.3%)

sample35.0ms (0.2%)

simplify89.0ms (0.5%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite144.0ms (0.9%)

series2.2s (13.8%)

simplify114.0ms (0.7%)

prune144.0ms (0.9%)

localize10.0ms (0.1%)

rewrite160.0ms (1%)

series2.2s (13.8%)

simplify173.0ms (1.1%)

prune132.0ms (0.8%)

localize13.0ms (0.1%)

rewrite306.0ms (1.9%)

series3.1s (19.3%)

simplify218.0ms (1.3%)

prune233.0ms (1.4%)

localize17.0ms (0.1%)

rewrite199.0ms (1.2%)

series1.1s (6.9%)

simplify98.0ms (0.6%)

prune140.0ms (0.9%)

regimes1.7s (10.5%)

bsearch6.0ms (0%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample2.4s (14.6%)

Profiling