Details

analyze199.0ms (5.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

24×	`distribute-rgt-in_binary64_18442`
22×	`distribute-lft-in_binary64_18441`
16×	`*-commutative_binary64_18423`
14×	`associate-l_binary64_18433`
12×	`associate-r_binary64_18432`
6×	`+-commutative_binary64_18422`
2×	`sub-neg_binary64_18485`
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` `1-exp_binary64_18536` `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` `times-frac_binary64_18498` `div-sub_binary64_18497` `neg-mul-1_binary64_18488` `neg-sub0_binary64_18487` `unsub-neg_binary64_18486` `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` `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` `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-inv_binary64_18458` `cancel-sign-sub_binary64_18457` `distribute-neg-frac_binary64_18456` `distribute-frac-neg_binary64_18455` `distribute-neg-out_binary64_18454` `distribute-neg-in_binary64_18453` `distribute-rgt-neg-out_binary64_18452` `distribute-lft-neg-out_binary64_18451` `distribute-rgt-neg-in_binary64_18450` `distribute-lft-neg-in_binary64_18449` `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_18438` `associate-/l_binary64_18437` `associate-/r_binary64_18436` `associate-l/_binary64_18435` `associate-*r/_binary64_18434` `associate--r-_binary64_18431` `associate--l-_binary64_18430` `associate--l+_binary64_18429` `associate--r+_binary64_18428` `associate-+l-_binary64_18427` `associate-+r-_binary64_18426` `associate-+l+_binary64_18425` `associate-+r+_binary64_18424`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	26	20
2	45	20
3	85	20
4	87	20
5	75	20
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

13×	`distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441`
10×	`*-commutative_binary64_18423`
9×	`associate-l_binary64_18433`
7×	`associate-r_binary64_18432`
1×	`sub-neg_binary64_18485` `+-commutative_binary64_18422`
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` `1-exp_binary64_18536` `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` `times-frac_binary64_18498` `div-sub_binary64_18497` `neg-mul-1_binary64_18488` `neg-sub0_binary64_18487` `unsub-neg_binary64_18486` `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` `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` `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-inv_binary64_18458` `cancel-sign-sub_binary64_18457` `distribute-neg-frac_binary64_18456` `distribute-frac-neg_binary64_18455` `distribute-neg-out_binary64_18454` `distribute-neg-in_binary64_18453` `distribute-rgt-neg-out_binary64_18452` `distribute-lft-neg-out_binary64_18451` `distribute-rgt-neg-in_binary64_18450` `distribute-lft-neg-in_binary64_18449` `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_18438` `associate-/l_binary64_18437` `associate-/r_binary64_18436` `associate-l/_binary64_18435` `associate-*r/_binary64_18434` `associate--r-_binary64_18431` `associate--l-_binary64_18430` `associate--l+_binary64_18429` `associate--r+_binary64_18428` `associate-+l-_binary64_18427` `associate-+r-_binary64_18426` `associate-+l+_binary64_18425` `associate-+r+_binary64_18424`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	18	10
2	32	10
3	54	10
4	56	10
5	48	10

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x 4/29)
0.0b	(*.f64 (-.f64 x 4/29) 3)
0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

rewrite82.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_18514`
11×	`*-un-lft-identity_binary64_18492`
10×	`pow1_binary64_18553` `add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
7×	`add-cube-cbrt_binary64_18527`
6×	`associate-l/_binary64_18435` `associate-l_binary64_18433` `associate-r*_binary64_18432`
5×	`add-log-exp_binary64_18531`
4×	`pow-prod-down_binary64_18563` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`
3×	`flip3--_binary64_18496` `flip--_binary64_18467` `cancel-sign-sub-inv_binary64_18458`
2×	`*-commutative_binary64_18423` `difference-of-squares_binary64_18461` `distribute-lft-out--_binary64_18444`
1×	`unswap-sqr_binary64_18460` `diff-log_binary64_18584` `sub-neg_binary64_18485`

Counts

3 → 58

Calls

3 calls:

8.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
7.0ms	(*.f64 (-.f64 x 4/29) 3)
4.0ms	(-.f64 x 4/29)

Compiler

Compiled 768 to 586 computations (23.7% saved)

series199.0ms (5.6%)

Error

0.1b

Counts

3 → 21

Calls

3 calls:

123.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
36.0ms	(*.f64 (-.f64 x 4/29) 3)
25.0ms	(-.f64 x 4/29)

Compiler

Compiled 352 to 305 computations (13.4% saved)

simplify104.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

448×	`unswap-sqr_binary64_18460`
383×	`*-commutative_binary64_18423`
268×	`associate-+l+_binary64_18425`
225×	`sqr-pow_binary64_18464`
195×	`distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441`
157×	`associate-+r+_binary64_18424`
155×	`times-frac_binary64_18498`
135×	`associate-l_binary64_18433`
132×	`prod-exp_binary64_18541`
124×	`exp-prod_binary64_18544`
105×	`div-exp_binary64_18543`
96×	`neg-mul-1_binary64_18488`
94×	`associate-r_binary64_18432`
92×	`neg-sub0_binary64_18487`
88×	`pow-sqr_binary64_18465`
82×	`associate-/l*_binary64_18437`
81×	`exp-sum_binary64_18538`
75×	`sub-neg_binary64_18485` `+-commutative_binary64_18422`
50×	`div-sub_binary64_18497`
48×	`cube-prod_binary64_18520`
42×	`distribute-lft-neg-out_binary64_18451`
41×	`unsub-neg_binary64_18486`
40×	`cancel-sign-sub-inv_binary64_18458` `distribute-neg-out_binary64_18454` `distribute-rgt-neg-in_binary64_18450`
39×	`log-prod_binary64_18578` `rem-sqrt-square_binary64_18505`
38×	`unpow3_binary64_18558`
36×	`distribute-rgt-neg-out_binary64_18452`
35×	`associate-/r*_binary64_18436`
33×	`associate-*r/_binary64_18434`
31×	`*-lft-identity_binary64_18481` `swap-sqr_binary64_18459`
27×	`*-rgt-identity_binary64_18482` `distribute-lft-neg-in_binary64_18449`
25×	`associate-/l/_binary64_18439`
21×	`associate-*l/_binary64_18435`
19×	`distribute-rgt-out_binary64_18445`
18×	`associate-/r/_binary64_18438`
16×	`associate-+l-_binary64_18427`
14×	`exp-diff_binary64_18540`
13×	`unpow1/2_binary64_18556` `cube-unmult_binary64_18529`
12×	`distribute-neg-in_binary64_18453`
11×	`cube-mult_binary64_18522` `remove-double-neg_binary64_18480`
10×	`pow-plus_binary64_18555` `associate-+r-_binary64_18426`
9×	`exp-lft-cube_binary64_18548`
8×	`sub0-neg_binary64_18479` `associate--r+_binary64_18428`
5×	`--rgt-identity_binary64_18478` `+-rgt-identity_binary64_18477` `distribute-rgt1-in_binary64_18448`
4×	`log-div_binary64_18579` `exp-neg_binary64_18539`
3×	`cube-neg_binary64_18519` `sqr-neg_binary64_18506` `+-lft-identity_binary64_18476` `distribute-frac-neg_binary64_18455` `distribute-lft-out_binary64_18443`
2×	`rec-exp_binary64_18542` `/-rgt-identity_binary64_18483` `distribute-lft1-in_binary64_18447` `distribute-rgt-out--_binary64_18446`
1×	`log-rec_binary64_18580` `exp-sqrt_binary64_18545` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `cube-div_binary64_18521` `rem-3cbrt-lft_binary64_18517` `rem-square-sqrt_binary64_18504` `count-2_binary64_18440` `associate--r-_binary64_18431` `associate--l+_binary64_18429`
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` `unpow2_binary64_18557` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `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-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `mul-1-neg_binary64_18484` `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` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `difference-of-squares_binary64_18461` `cancel-sign-sub_binary64_18457` `distribute-neg-frac_binary64_18456` `distribute-lft-out--_binary64_18444` `associate--l-_binary64_18430`

Counts

79 → 52

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	794
1	223	683
2	651	680
3	1486	680
4	1856	680
5	3004	680
6	4828	680
7	4983	680

prune55.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Error

0.0b

Counts

53 → 6

Compiler

Compiled 631 to 482 computations (23.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 -12/29 (*.f64 3 x))
0.2b	(.f64 y (+.f64 -12/29 (.f64 3 x)))

rewrite46.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_18514`
4×	`pow1_binary64_18553` `add-exp-log_binary64_18530` `add-log-exp_binary64_18531` `add-cbrt-cube_binary64_18528` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
3×	`associate-l_binary64_18433` `associate-r_binary64_18432`
2×	`flip3-+_binary64_18495` `associate-*r/_binary64_18434` `flip-+_binary64_18466`
1×	`pow-prod-down_binary64_18563` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `unswap-sqr_binary64_18460` `distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441` `*-commutative_binary64_18423` `sum-log_binary64_18583` `+-commutative_binary64_18422`

Counts

2 → 33

Calls

2 calls:

6.0ms	(.f64 y (+.f64 -12/29 (.f64 3 x)))
3.0ms	(+.f64 -12/29 (*.f64 3 x))

Compiler

Compiled 476 to 368 computations (22.7% saved)

series176.0ms (4.9%)

Error

0.0b

Counts

2 → 15

Calls

2 calls:

129.0ms	(.f64 y (+.f64 -12/29 (.f64 3 x)))
37.0ms	(+.f64 -12/29 (*.f64 3 x))

Compiler

Compiled 259 to 222 computations (14.3% saved)

simplify79.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

430×	`unsub-neg_binary64_18486` `associate-l_binary64_18433`
330×	`associate-r_binary64_18432`
213×	`distribute-lft-neg-out_binary64_18451`
207×	`distribute-rgt-neg-out_binary64_18452`
205×	`distribute-rgt-in_binary64_18442`
198×	`distribute-lft-in_binary64_18441`
152×	`distribute-neg-out_binary64_18454` `distribute-rgt-neg-in_binary64_18450`
137×	`rem-sqrt-square_binary64_18505`
136×	`associate-+l+_binary64_18425`
130×	`unswap-sqr_binary64_18460`
125×	`associate-+r+_binary64_18424`
110×	`neg-mul-1_binary64_18488` `neg-sub0_binary64_18487`
105×	`*-commutative_binary64_18423`
104×	`sqr-pow_binary64_18464`
97×	`distribute-rgt-out_binary64_18445`
96×	`times-frac_binary64_18498`
78×	`distribute-neg-in_binary64_18453`
70×	`exp-prod_binary64_18544`
64×	`distribute-lft-out_binary64_18443`
56×	`cancel-sign-sub-inv_binary64_18458`
47×	`sub-neg_binary64_18485`
46×	`+-commutative_binary64_18422`
35×	`distribute-lft-neg-in_binary64_18449`
30×	`*-rgt-identity_binary64_18482`
29×	`*-lft-identity_binary64_18481` `pow-sqr_binary64_18465`
27×	`cube-prod_binary64_18520` `swap-sqr_binary64_18459`
24×	`exp-sum_binary64_18538`
12×	`prod-exp_binary64_18541`
11×	`log-prod_binary64_18578` `unpow1/2_binary64_18556` `associate-/l*_binary64_18437`
10×	`unpow3_binary64_18558` `distribute-rgt-out--_binary64_18446`
9×	`exp-diff_binary64_18540` `associate-+l-_binary64_18427`
8×	`div-sub_binary64_18497` `sub0-neg_binary64_18479`
7×	`cube-unmult_binary64_18529` `cube-mult_binary64_18522`
6×	`div-exp_binary64_18543`
5×	`sqr-neg_binary64_18506` `associate-+r-_binary64_18426`
4×	`pow-plus_binary64_18555` `exp-lft-cube_binary64_18548` `cube-neg_binary64_18519`
3×	`+-rgt-identity_binary64_18477` `distribute-frac-neg_binary64_18455` `associate-*r/_binary64_18434` `associate--r+_binary64_18428`
2×	`exp-neg_binary64_18539` `associate-/l/_binary64_18439`
1×	`1-exp_binary64_18536` `exp-1-e_binary64_18535` `remove-double-neg_binary64_18480` `distribute-lft-out--_binary64_18444` `count-2_binary64_18440` `associate-/r/_binary64_18438` `associate-/r_binary64_18436` `associate-l/_binary64_18435` `associate--l+_binary64_18429`
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` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `unpow2_binary64_18557` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `rec-exp_binary64_18542` `e-exp-1_binary64_18537` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `cube-div_binary64_18521` `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` `mul-1-neg_binary64_18484` `/-rgt-identity_binary64_18483` `--rgt-identity_binary64_18478` `+-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` `difference-of-sqr--1_binary64_18463` `difference-of-sqr-1_binary64_18462` `difference-of-squares_binary64_18461` `cancel-sign-sub_binary64_18457` `distribute-neg-frac_binary64_18456` `distribute-rgt1-in_binary64_18448` `distribute-lft1-in_binary64_18447` `associate--r-_binary64_18431` `associate--l-_binary64_18430`

Counts

48 → 32

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	572
1	183	512
2	561	512
3	1598	512
4	2698	512
5	4553	512
6	4913	512

prune38.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	31	7	38

Error

Counts

38 → 7

Compiler

Compiled 477 to 373 computations (21.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x 4/29)
0.3b	(.f64 (-.f64 x 4/29) (.f64 y 3))

rewrite48.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
7×	`pow1_binary64_18553` `add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
5×	`associate-l_binary64_18433`
4×	`add-log-exp_binary64_18531` `add-cube-cbrt_binary64_18527`
3×	`pow-prod-down_binary64_18563` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `cancel-sign-sub-inv_binary64_18458`
2×	`flip3--_binary64_18496` `associate-*l/_binary64_18435` `flip--_binary64_18467` `difference-of-squares_binary64_18461` `distribute-lft-out--_binary64_18444`
1×	`associate-r_binary64_18432` `*-commutative_binary64_18423` `diff-log_binary64_18584` `sub-neg_binary64_18485`

Counts

2 → 38

Calls

2 calls:

8.0ms	(.f64 (-.f64 x 4/29) (.f64 y 3))
4.0ms	(-.f64 x 4/29)

Compiler

Compiled 506 to 388 computations (23.3% saved)

series162.0ms (4.5%)

Error

Counts

2 → 15

Calls

2 calls:

125.0ms	(.f64 (-.f64 x 4/29) (.f64 y 3))
28.0ms	(-.f64 x 4/29)

Compiler

Compiled 263 to 226 computations (14.1% saved)

simplify103.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

540×	`associate-l_binary64_18433`
397×	`associate-r_binary64_18432`
338×	`distribute-rgt-neg-out_binary64_18452`
208×	`unswap-sqr_binary64_18460`
167×	`distribute-rgt-in_binary64_18442`
160×	`distribute-lft-in_binary64_18441`
152×	`neg-mul-1_binary64_18488`
151×	`neg-sub0_binary64_18487` `sqr-pow_binary64_18464`
140×	`unsub-neg_binary64_18486`
114×	`*-commutative_binary64_18423`
107×	`+-commutative_binary64_18422`
100×	`distribute-neg-out_binary64_18454`
99×	`associate-+r+_binary64_18424`
97×	`associate-+l+_binary64_18425`
73×	`sub-neg_binary64_18485`
69×	`distribute-lft-neg-out_binary64_18451`
68×	`distribute-neg-in_binary64_18453`
56×	`pow-sqr_binary64_18465` `distribute-rgt-out_binary64_18445`
52×	`times-frac_binary64_18498`
51×	`exp-prod_binary64_18544`
48×	`distribute-lft-out_binary64_18443`
43×	`cancel-sign-sub-inv_binary64_18458`
34×	`exp-sum_binary64_18538`
33×	`unpow3_binary64_18558`
31×	`distribute-rgt-neg-in_binary64_18450`
25×	`distribute-lft-neg-in_binary64_18449`
24×	`prod-exp_binary64_18541`
22×	`log-div_binary64_18579` `cube-prod_binary64_18520`
21×	`log-prod_binary64_18578`
20×	`swap-sqr_binary64_18459`
15×	`associate-/l/_binary64_18439`
13×	`associate-*r/_binary64_18434`
12×	`exp-diff_binary64_18540`
11×	`cube-unmult_binary64_18529` `div-sub_binary64_18497` `remove-double-neg_binary64_18480` `associate-/l*_binary64_18437`
10×	`cube-mult_binary64_18522` `sub0-neg_binary64_18479` `associate-+l-_binary64_18427`
7×	`exp-lft-cube_binary64_18548`
6×	`cube-div_binary64_18521` `--rgt-identity_binary64_18478` `associate--r+_binary64_18428`
5×	`distribute-neg-frac_binary64_18456`
4×	`associate-/r/_binary64_18438` `associate-+r-_binary64_18426`
3×	`+-rgt-identity_binary64_18477`
2×	`distribute-rgt-out--_binary64_18446` `associate-*l/_binary64_18435`
1×	`pow-plus_binary64_18555` `exp-sqrt_binary64_18545` `div-exp_binary64_18543` `1-exp_binary64_18536` `cube-neg_binary64_18519` `rem-3cbrt-lft_binary64_18517` `sqr-neg_binary64_18506` `rem-square-sqrt_binary64_18504` `mul-1-neg_binary64_18484` `+-lft-identity_binary64_18476` `mul0-rgt_binary64_18475` `mul0-lft_binary64_18474` `distribute-frac-neg_binary64_18455` `count-2_binary64_18440` `associate--l+_binary64_18429`
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` `unpow2_binary64_18557` `unpow1/2_binary64_18556` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `rec-exp_binary64_18542` `exp-neg_binary64_18539` `e-exp-1_binary64_18537` `exp-1-e_binary64_18535` `exp-0_binary64_18534` `rem-log-exp_binary64_18533` `rem-exp-log_binary64_18532` `rem-3cbrt-rft_binary64_18518` `rem-cbrt-cube_binary64_18516` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `rem-sqrt-square_binary64_18505` `/-rgt-identity_binary64_18483` `-rgt-identity_binary64_18482` `-lft-identity_binary64_18481` `div0_binary64_18473` `-inverses_binary64_18472` `+-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` `difference-of-squares_binary64_18461` `cancel-sign-sub_binary64_18457` `distribute-rgt1-in_binary64_18448` `distribute-lft1-in_binary64_18447` `distribute-lft-out--_binary64_18444` `associate-/r_binary64_18436` `associate--r-_binary64_18431` `associate--l-_binary64_18430`

Counts

53 → 35

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	558
1	192	465
2	508	462
3	1605	462
4	2058	462
5	2908	462
6	4963	462
7	4996	462
8	4905	462

prune33.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	35	7	42

Error

Counts

42 → 7

Compiler

Compiled 444 to 342 computations (23% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x 4/29)
0.1b	(*.f64 y (-.f64 x 4/29))
0.3b	(.f64 (.f64 y (-.f64 x 4/29)) 3)

rewrite86.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_18514`
13×	`*-un-lft-identity_binary64_18492`
10×	`pow1_binary64_18553` `add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
9×	`add-cube-cbrt_binary64_18527` `cancel-sign-sub-inv_binary64_18458`
8×	`associate-r_binary64_18432`
5×	`add-log-exp_binary64_18531`
4×	`pow-prod-down_binary64_18563` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `associate-r/_binary64_18434` `associate-l*_binary64_18433` `distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441`
3×	`flip3--_binary64_18496` `flip--_binary64_18467` `sub-neg_binary64_18485`
2×	`associate-l/_binary64_18435` `-commutative_binary64_18423` `difference-of-squares_binary64_18461` `distribute-lft-out--_binary64_18444`
1×	`unswap-sqr_binary64_18460` `diff-log_binary64_18584`

Counts

3 → 66

Calls

3 calls:

8.0ms	(.f64 (.f64 y (-.f64 x 4/29)) 3)
7.0ms	(*.f64 y (-.f64 x 4/29))
6.0ms	(-.f64 x 4/29)

Compiler

Compiled 874 to 652 computations (25.4% saved)

series257.0ms (7.2%)

Error

Counts

3 → 24

Calls

3 calls:

122.0ms	(.f64 (.f64 y (-.f64 x 4/29)) 3)
94.0ms	(*.f64 y (-.f64 x 4/29))
28.0ms	(-.f64 x 4/29)

Compiler

Compiled 437 to 369 computations (15.6% saved)

simplify76.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

414×	`distribute-rgt-neg-out_binary64_18452`
410×	`distribute-lft-neg-out_binary64_18451`
295×	`distribute-lft-in_binary64_18441`
293×	`distribute-rgt-in_binary64_18442`
265×	`*-commutative_binary64_18423`
192×	`exp-prod_binary64_18544`
151×	`associate-l_binary64_18433`
140×	`+-commutative_binary64_18422`
108×	`associate-r_binary64_18432`
105×	`unsub-neg_binary64_18486`
93×	`associate-+l+_binary64_18425`
86×	`associate-+r+_binary64_18424`
78×	`sqr-pow_binary64_18464`
69×	`neg-mul-1_binary64_18488` `neg-sub0_binary64_18487`
63×	`exp-sum_binary64_18538` `cube-prod_binary64_18520`
47×	`*-lft-identity_binary64_18481`
46×	`exp-neg_binary64_18539` `swap-sqr_binary64_18459`
42×	`distribute-rgt-neg-in_binary64_18450`
41×	`*-rgt-identity_binary64_18482`
37×	`exp-diff_binary64_18540`
36×	`distribute-lft-neg-in_binary64_18449`
34×	`unswap-sqr_binary64_18460`
33×	`pow-sqr_binary64_18465`
25×	`prod-exp_binary64_18541` `sub-neg_binary64_18485`
23×	`log-prod_binary64_18578`
21×	`cancel-sign-sub-inv_binary64_18458`
19×	`unpow3_binary64_18558`
16×	`associate-*r/_binary64_18434`
14×	`cube-mult_binary64_18522` `associate-*l/_binary64_18435`
13×	`associate-/l*_binary64_18437`
11×	`div-exp_binary64_18543` `associate-+l-_binary64_18427`
10×	`cube-div_binary64_18521` `sqr-neg_binary64_18506`
9×	`exp-lft-cube_binary64_18548` `cube-unmult_binary64_18529`
8×	`div-sub_binary64_18497` `distribute-rgt-out--_binary64_18446`
7×	`unpow1/2_binary64_18556` `associate-+r-_binary64_18426`
6×	`pow-plus_binary64_18555` `distribute-rgt-out_binary64_18445`
3×	`sub0-neg_binary64_18479` `+-rgt-identity_binary64_18477` `mul0-rgt_binary64_18475` `mul0-lft_binary64_18474`
2×	`associate-/l/_binary64_18439` `associate--r+_binary64_18428`
1×	`1-exp_binary64_18536` `exp-1-e_binary64_18535` `rem-3cbrt-lft_binary64_18517` `rem-square-sqrt_binary64_18504` `distribute-rgt1-in_binary64_18448` `count-2_binary64_18440` `associate-/r/_binary64_18438` `associate-/r*_binary64_18436`
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` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `unpow2_binary64_18557` `exp-to-pow_binary64_18554` `pow-base-1_binary64_18552` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-sqr_binary64_18547` `exp-cbrt_binary64_18546` `exp-sqrt_binary64_18545` `rec-exp_binary64_18542` `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` `rem-sqrt-square_binary64_18505` `times-frac_binary64_18498` `mul-1-neg_binary64_18484` `/-rgt-identity_binary64_18483` `remove-double-neg_binary64_18480` `--rgt-identity_binary64_18478` `+-lft-identity_binary64_18476` `div0_binary64_18473` `*-inverses_binary64_18472` `+-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` `difference-of-squares_binary64_18461` `cancel-sign-sub_binary64_18457` `distribute-neg-frac_binary64_18456` `distribute-frac-neg_binary64_18455` `distribute-neg-out_binary64_18454` `distribute-neg-in_binary64_18453` `distribute-lft1-in_binary64_18447` `distribute-lft-out--_binary64_18444` `distribute-lft-out_binary64_18443` `associate--r-_binary64_18431` `associate--l-_binary64_18430` `associate--l+_binary64_18429`

Counts

90 → 59

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	861
1	247	768
2	766	765
3	1999	765
4	4691	765
5	4924	765

prune42.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	59	7	66

Error

Counts

66 → 7

Compiler

Compiled 561 to 395 computations (29.6% saved)

regimes467.0ms (13%)

Accuracy

Total 0.2b remaining (99.1%)

Threshold costs 0.2b (99.1%)

Compiler

Compiled 3746 to 3430 computations (8.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_18423`
2×	`sub-neg_binary64_18485` `+-commutative_binary64_18422`
1×	`neg-mul-1_binary64_18488` `neg-sub0_binary64_18487`
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` `unsub-neg_binary64_18486` `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-neg-frac_binary64_18456` `distribute-frac-neg_binary64_18455` `distribute-neg-out_binary64_18454` `distribute-neg-in_binary64_18453` `distribute-rgt-neg-out_binary64_18452` `distribute-lft-neg-out_binary64_18451` `distribute-rgt-neg-in_binary64_18450` `distribute-lft-neg-in_binary64_18449`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	12	10
2	17	10
3	19	10
4	20	10
5	20	10

end0.0ms (0%)

sample1.3s (35.6%)

Algorithm

1×

intervals

Results

238.0ms	8000×	body	128	valid
2.0ms	79×	body	128	invalid

Compiler

Compiled 746 to 680 computations (8.8% saved)

Details

analyze199.0ms (5.6%)

sample21.0ms (0.6%)

simplify9.0ms (0.3%)

prune4.0ms (0.1%)

localize5.0ms (0.1%)

rewrite82.0ms (2.3%)

series199.0ms (5.6%)

simplify104.0ms (2.9%)

prune55.0ms (1.5%)

localize5.0ms (0.1%)

rewrite46.0ms (1.3%)

series176.0ms (4.9%)

simplify79.0ms (2.2%)

prune38.0ms (1.1%)

localize5.0ms (0.1%)

rewrite48.0ms (1.3%)

series162.0ms (4.5%)

simplify103.0ms (2.9%)

prune33.0ms (0.9%)

localize5.0ms (0.1%)

rewrite86.0ms (2.4%)

series257.0ms (7.2%)

simplify76.0ms (2.1%)

prune42.0ms (1.2%)

regimes467.0ms (13%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (35.6%)

Profiling