Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 15 to 13 computations (13.3% saved)

sample23.0ms (0.2%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify1.2s (8.6%)

Algorithm

1×	egg-herbie

Rules

808×	`exp-prod_binary64_18544`
742×	`swap-sqr_binary64_18459`
439×	`distribute-rgt-out_binary64_18445`
389×	`div-sub_binary64_18497`
348×	`distribute-lft-out_binary64_18443`
347×	`sub-neg_binary64_18485`
342×	`distribute-rgt-out--_binary64_18446`
319×	`distribute-lft-out--_binary64_18444`
256×	`associate-/l*_binary64_18437`
188×	`cancel-sign-sub-inv_binary64_18458`
130×	`unsub-neg_binary64_18486`
126×	`associate-/l/_binary64_18439`
116×	`distribute-rgt-in_binary64_18442`
89×	`distribute-lft-in_binary64_18441`
84×	`times-frac_binary64_18498` `associate-*l/_binary64_18435`
67×	`associate-/r*_binary64_18436`
56×	`distribute-rgt-neg-in_binary64_18450`
53×	`associate-*r/_binary64_18434`
47×	`neg-mul-1_binary64_18488` `neg-sub0_binary64_18487`
40×	`associate-r_binary64_18432`
37×	`distribute-lft-neg-in_binary64_18449`
35×	`sqr-pow_binary64_18464`
31×	`associate-l_binary64_18433`
30×	`associate-/r/_binary64_18438`
25×	`exp-sum_binary64_18538` `distribute-rgt1-in_binary64_18448`
24×	`*-rgt-identity_binary64_18482`
23×	`distribute-neg-in_binary64_18453`
22×	`pow-sqr_binary64_18465` `distribute-rgt-neg-out_binary64_18452`
21×	`distribute-lft-neg-out_binary64_18451`
19×	`pow-plus_binary64_18555` `mul0-rgt_binary64_18475` `mul0-lft_binary64_18474`
17×	`*-lft-identity_binary64_18481` `+-inverses_binary64_18471`
16×	`difference-of-squares_binary64_18461` `distribute-neg-frac_binary64_18456` `associate-+l-_binary64_18427`
15×	`exp-diff_binary64_18540` `associate-+r+_binary64_18424` `*-commutative_binary64_18423`
14×	`associate-+l+_binary64_18425` `+-commutative_binary64_18422`
13×	`sub0-neg_binary64_18479`
11×	`associate--r+_binary64_18428` `associate-+r-_binary64_18426`
9×	`remove-double-neg_binary64_18480` `div0_binary64_18473`
8×	`+-rgt-identity_binary64_18477` `distribute-frac-neg_binary64_18455`
7×	`cube-unmult_binary64_18529` `distribute-lft1-in_binary64_18447`
6×	`unswap-sqr_binary64_18460`
5×	`/-rgt-identity_binary64_18483` `+-lft-identity_binary64_18476` `count-2_binary64_18440`
4×	`pow-base-1_binary64_18552` `exp-lft-sqr_binary64_18547` `cube-prod_binary64_18520` `difference-of-sqr-1_binary64_18462`
3×	`--rgt-identity_binary64_18478`
2×	`mul-1-neg_binary64_18484` `associate--r-_binary64_18431`
1×	`prod-exp_binary64_18541` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `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` `log-prod_binary64_18578` `pow-base-0_binary64_18576` `unpow1/3_binary64_18559` `unpow3_binary64_18558` `unpow2_binary64_18557` `unpow1/2_binary64_18556` `exp-to-pow_binary64_18554` `unpow0_binary64_18551` `unpow1_binary64_18550` `unpow-1_binary64_18549` `exp-lft-cube_binary64_18548` `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-mult_binary64_18522` `cube-div_binary64_18521` `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_18472` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `remove-double-div_binary64_18468` `difference-of-sqr--1_binary64_18463` `cancel-sign-sub_binary64_18457` `distribute-neg-out_binary64_18454` `associate--l-_binary64_18430`

Counts

1 → 5

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	24	21
2	44	21
3	72	21
4	121	21
5	208	21
6	480	21
7	2789	21

prune11.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

0.0b

Counts

6 → 3

Compiler

Compiled 112 to 88 computations (21.4% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 4 (sqrt.f64 x)))
0.0b	(/.f64 (+.f64 x -1) (/.f64 (+.f64 1 (+.f64 x (*.f64 4 (sqrt.f64 x)))) 6))
0.0b	(/.f64 (+.f64 1 (+.f64 x (*.f64 4 (sqrt.f64 x)))) 6)

rewrite357.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

164×	`times-frac_binary64_18498`
155×	`*-un-lft-identity_binary64_18492`
95×	`add-sqr-sqrt_binary64_18514`
77×	`add-cube-cbrt_binary64_18527`
39×	`distribute-lft-out_binary64_18443`
19×	`associate-/r*_binary64_18436`
17×	`difference-of-sqr--1_binary64_18463`
10×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
9×	`associate-/l*_binary64_18437`
8×	`div-inv_binary64_18489`
5×	`add-log-exp_binary64_18531`
4×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `associate-/l/_binary64_18439`
3×	`pow1_binary64_18553` `flip3-+_binary64_18495` `flip-+_binary64_18466`
2×	`frac-2neg_binary64_18503` `clear-num_binary64_18491`
1×	`associate-/r/_binary64_18438` `sum-log_binary64_18583` `distribute-rgt-out_binary64_18445` `+-commutative_binary64_18422`

Counts

3 → 163

Calls

3 calls:

13.0ms	(/.f64 (+.f64 x -1) (/.f64 (+.f64 1 (+.f64 x (*.f64 4 (sqrt.f64 x)))) 6))
8.0ms	(/.f64 (+.f64 1 (+.f64 x (*.f64 4 (sqrt.f64 x)))) 6)
3.0ms	(+.f64 x (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 4592 to 3477 computations (24.3% saved)

series71.0ms (0.5%)

Error

0.0b

Counts

3 → 9

Calls

3 calls:

23.0ms	(/.f64 (+.f64 x -1) (/.f64 (+.f64 1 (+.f64 x (*.f64 4 (sqrt.f64 x)))) 6))
21.0ms	(/.f64 (+.f64 1 (+.f64 x (*.f64 4 (sqrt.f64 x)))) 6)
20.0ms	(+.f64 x (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 239 to 214 computations (10.5% saved)

simplify909.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

532×	`associate-/r/_binary64_18438`
407×	`div-sub_binary64_18497`
369×	`*-commutative_binary64_18423`
345×	`distribute-rgt-in_binary64_18442`
330×	`associate-/r*_binary64_18436`
314×	`distribute-lft-in_binary64_18441`
175×	`sub-neg_binary64_18485`
144×	`associate-/l/_binary64_18439`
133×	`unsub-neg_binary64_18486`
130×	`associate-/l*_binary64_18437`
112×	`associate-*l/_binary64_18435`
98×	`cancel-sign-sub-inv_binary64_18458`
95×	`associate-+l+_binary64_18425`
69×	`associate-+r+_binary64_18424`
60×	`neg-sub0_binary64_18487`
59×	`associate-r_binary64_18432`
57×	`associate-*r/_binary64_18434`
55×	`associate-l_binary64_18433`
54×	`+-commutative_binary64_18422`
53×	`neg-mul-1_binary64_18488`
50×	`distribute-rgt-neg-in_binary64_18450`
44×	`times-frac_binary64_18498`
39×	`exp-prod_binary64_18544` `cube-prod_binary64_18520` `*-rgt-identity_binary64_18482` `distribute-lft-neg-in_binary64_18449`
36×	`associate-+r-_binary64_18426`
33×	`distribute-rgt-out_binary64_18445`
32×	`/-rgt-identity_binary64_18483`
28×	`distribute-neg-frac_binary64_18456` `associate-+l-_binary64_18427`
26×	`associate--l+_binary64_18429`
25×	`sqr-pow_binary64_18464` `distribute-rgt-out--_binary64_18446`
23×	`log-prod_binary64_18578` `unswap-sqr_binary64_18460` `associate--r+_binary64_18428`
19×	`distribute-lft-neg-out_binary64_18451`
18×	`log-div_binary64_18579`
17×	`prod-exp_binary64_18541` `*-lft-identity_binary64_18481`
16×	`div-exp_binary64_18543` `cube-div_binary64_18521` `distribute-neg-in_binary64_18453`
14×	`swap-sqr_binary64_18459`
9×	`distribute-rgt-neg-out_binary64_18452`
8×	`cube-unmult_binary64_18529` `mul-1-neg_binary64_18484` `pow-sqr_binary64_18465`
7×	`unpow3_binary64_18558` `cube-mult_binary64_18522`
6×	`distribute-rgt1-in_binary64_18448`
5×	`log-rec_binary64_18580`
4×	`rec-exp_binary64_18542` `remove-double-div_binary64_18468` `difference-of-squares_binary64_18461` `associate--r-_binary64_18431`
3×	`log-pow_binary64_18581` `pow-plus_binary64_18555` `exp-sum_binary64_18538` `rem-sqrt-square_binary64_18505` `associate--l-_binary64_18430`
2×	`exp-to-pow_binary64_18554` `sqr-neg_binary64_18506` `remove-double-neg_binary64_18480` `distribute-lft-out--_binary64_18444` `distribute-lft-out_binary64_18443`
1×	`pow-base-1_binary64_18552` `exp-diff_binary64_18540` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `rem-log-exp_binary64_18533` `cube-neg_binary64_18519` `rem-square-sqrt_binary64_18504` `+-rgt-identity_binary64_18477` `div0_binary64_18473` `difference-of-sqr--1_binary64_18463` `distribute-neg-out_binary64_18454` `distribute-lft1-in_binary64_18447` `count-2_binary64_18440`
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` `unpow2_binary64_18557` `unpow1/2_binary64_18556` `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-neg_binary64_18539` `e-exp-1_binary64_18537` `exp-0_binary64_18534` `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` `sub0-neg_binary64_18479` `--rgt-identity_binary64_18478` `+-lft-identity_binary64_18476` `mul0-rgt_binary64_18475` `mul0-lft_binary64_18474` `*-inverses_binary64_18472` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `difference-of-sqr-1_binary64_18462` `cancel-sign-sub_binary64_18457` `distribute-frac-neg_binary64_18455`

Counts

172 → 1124

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	234	5715
1	605	5467
2	1929	5453
3	4146	5451

prune4.2s (30.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	1121	3	1124
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	1122	5	1127

Error

Counts

1127 → 5

Compiler

Compiled 35436 to 26703 computations (24.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 6 (/.f64 (+.f64 x -1) (+.f64 1 (+.f64 x (.f64 4 (sqrt.f64 x))))))
0.0b	(+.f64 x (*.f64 4 (sqrt.f64 x)))
0.0b	(/.f64 (+.f64 x -1) (+.f64 1 (+.f64 x (*.f64 4 (sqrt.f64 x)))))

rewrite194.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

65×	`*-un-lft-identity_binary64_18492`
41×	`times-frac_binary64_18498`
40×	`add-sqr-sqrt_binary64_18514`
26×	`associate-r_binary64_18432`
25×	`add-cube-cbrt_binary64_18527`
20×	`distribute-lft-out_binary64_18443`
10×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
9×	`difference-of-sqr--1_binary64_18463`
5×	`pow1_binary64_18553` `add-log-exp_binary64_18531` `associate-/l*_binary64_18437`
4×	`flip3-+_binary64_18495` `flip-+_binary64_18466` `associate-/r/_binary64_18438` `associate-/r*_binary64_18436`
3×	`associate-l_binary64_18433`
2×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `div-inv_binary64_18489` `associate-/l/_binary64_18439` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `unswap-sqr_binary64_18460`
1×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `sum-log_binary64_18583` `distribute-rgt-out_binary64_18445` `+-commutative_binary64_18422` `pow-prod-down_binary64_18563` `associate-r/_binary64_18434` `-commutative_binary64_18423`

Counts

3 → 102

Calls

3 calls:

16.0ms	(.f64 6 (/.f64 (+.f64 x -1) (+.f64 1 (+.f64 x (.f64 4 (sqrt.f64 x))))))
9.0ms	(/.f64 (+.f64 x -1) (+.f64 1 (+.f64 x (*.f64 4 (sqrt.f64 x)))))
3.0ms	(+.f64 x (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 2657 to 1945 computations (26.8% saved)

series72.0ms (0.5%)

Error

Counts

3 → 9

Calls

3 calls:

25.0ms	(/.f64 (+.f64 x -1) (+.f64 1 (+.f64 x (*.f64 4 (sqrt.f64 x)))))
22.0ms	(.f64 6 (/.f64 (+.f64 x -1) (+.f64 1 (+.f64 x (.f64 4 (sqrt.f64 x))))))
17.0ms	(+.f64 x (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 221 to 207 computations (6.3% saved)

simplify412.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

383×	`times-frac_binary64_18498`
368×	`distribute-rgt-in_binary64_18442`
344×	`associate-/l*_binary64_18437`
337×	`distribute-lft-in_binary64_18441`
298×	`div-sub_binary64_18497`
270×	`cancel-sign-sub-inv_binary64_18458`
269×	`associate-*l/_binary64_18435`
227×	`associate-*r/_binary64_18434`
177×	`*-commutative_binary64_18423`
172×	`unsub-neg_binary64_18486`
166×	`associate-/l/_binary64_18439`
137×	`sub-neg_binary64_18485`
115×	`associate-/r*_binary64_18436`
108×	`unswap-sqr_binary64_18460`
103×	`associate-l_binary64_18433`
100×	`associate-+l+_binary64_18425`
89×	`*-lft-identity_binary64_18481`
81×	`associate-r_binary64_18432`
80×	`sqr-pow_binary64_18464`
76×	`associate-+r+_binary64_18424`
71×	`associate-/r/_binary64_18438`
54×	`neg-sub0_binary64_18487`
51×	`pow-sqr_binary64_18465`
50×	`*-rgt-identity_binary64_18482`
46×	`neg-mul-1_binary64_18488`
44×	`cube-prod_binary64_18520` `remove-double-div_binary64_18468`
42×	`exp-prod_binary64_18544`
41×	`+-commutative_binary64_18422`
39×	`log-prod_binary64_18578`
34×	`distribute-rgt-neg-in_binary64_18450`
30×	`associate-+l-_binary64_18427`
29×	`distribute-rgt-out_binary64_18445` `associate-+r-_binary64_18426`
28×	`log-div_binary64_18579`
26×	`cube-div_binary64_18521` `difference-of-squares_binary64_18461` `distribute-lft-neg-in_binary64_18449`
22×	`swap-sqr_binary64_18459`
21×	`distribute-neg-in_binary64_18453` `distribute-lft-neg-out_binary64_18451`
20×	`associate--r+_binary64_18428`
18×	`/-rgt-identity_binary64_18483`
17×	`prod-exp_binary64_18541`
16×	`div-exp_binary64_18543` `mul-1-neg_binary64_18484` `sub0-neg_binary64_18479`
14×	`log-pow_binary64_18581` `pow-plus_binary64_18555` `+-rgt-identity_binary64_18477` `distribute-rgt-out--_binary64_18446`
12×	`distribute-rgt-neg-out_binary64_18452`
11×	`log-rec_binary64_18580`
10×	`unpow3_binary64_18558`
9×	`cube-mult_binary64_18522`
8×	`distribute-neg-frac_binary64_18456`
7×	`associate--l+_binary64_18429`
6×	`pow-base-1_binary64_18552` `cube-unmult_binary64_18529`
5×	`rem-sqrt-square_binary64_18505`
4×	`rec-exp_binary64_18542`
3×	`mul0-lft_binary64_18474` `difference-of-sqr--1_binary64_18463` `associate--r-_binary64_18431` `associate--l-_binary64_18430`
2×	`sqr-neg_binary64_18506` `--rgt-identity_binary64_18478` `mul0-rgt_binary64_18475` `distribute-rgt1-in_binary64_18448` `distribute-lft-out--_binary64_18444` `distribute-lft-out_binary64_18443`
1×	`exp-diff_binary64_18540` `exp-sum_binary64_18538` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `rem-log-exp_binary64_18533` `cube-neg_binary64_18519` `rem-square-sqrt_binary64_18504` `remove-double-neg_binary64_18480` `difference-of-sqr-1_binary64_18462` `distribute-neg-out_binary64_18454` `count-2_binary64_18440`
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` `unpow2_binary64_18557` `unpow1/2_binary64_18556` `exp-to-pow_binary64_18554` `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-neg_binary64_18539` `e-exp-1_binary64_18537` `exp-0_binary64_18534` `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` `+-lft-identity_binary64_18476` `div0_binary64_18473` `*-inverses_binary64_18472` `+-inverses_binary64_18471` `lft-mult-inverse_binary64_18470` `rgt-mult-inverse_binary64_18469` `cancel-sign-sub_binary64_18457` `distribute-frac-neg_binary64_18455` `distribute-lft1-in_binary64_18447`

Counts

111 → 336

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	2665
1	393	2454
2	1333	2442
3	4005	2434

prune865.0ms (6.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	336	0	336
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	336	5	341

Error

Counts

341 → 5

Compiler

Compiled 9587 to 7010 computations (26.9% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))
0.0b	(*.f64 6 (-.f64 x 1))
0.1b	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))

rewrite126.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_18514`
12×	`*-un-lft-identity_binary64_18492`
10×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
9×	`add-cube-cbrt_binary64_18527`
8×	`add-log-exp_binary64_18531`
7×	`associate-r_binary64_18432`
6×	`cancel-sign-sub-inv_binary64_18458`
5×	`pow1_binary64_18553`
4×	`associate-*r/_binary64_18434` `distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441`
3×	`times-frac_binary64_18498` `associate-/r_binary64_18436` `associate-l*_binary64_18433` `sum-log_binary64_18583`
2×	`prod-exp_binary64_18541` `div-exp_binary64_18543` `cbrt-undiv_binary64_18526` `cbrt-unprod_binary64_18525` `flip3--_binary64_18496` `associate-/l/_binary64_18439` `flip--_binary64_18467` `flip3-+_binary64_18495` `associate-/r/_binary64_18438` `flip-+_binary64_18466` `sub-neg_binary64_18485` `difference-of-squares_binary64_18461`
1×	`frac-2neg_binary64_18503` `clear-num_binary64_18491` `div-inv_binary64_18489` `associate-/l_binary64_18437` `pow-prod-down_binary64_18563` `unswap-sqr_binary64_18460` `difference-of-sqr-1_binary64_18462` `distribute-lft-out--_binary64_18444` `-commutative_binary64_18423` `associate-+l+_binary64_18425` `+-commutative_binary64_18422`

Counts

3 → 70

Calls

3 calls:

13.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
8.0ms	(*.f64 6 (-.f64 x 1))
6.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 1600 to 1190 computations (25.6% saved)

series103.0ms (0.7%)

Error

Counts

3 → 12

Calls

3 calls:

48.0ms	(*.f64 6 (-.f64 x 1))
27.0ms	(/.f64 (.f64 6 (-.f64 x 1)) (+.f64 (+.f64 x 1) (.f64 4 (sqrt.f64 x))))
18.0ms	(+.f64 (+.f64 x 1) (*.f64 4 (sqrt.f64 x)))

Compiler

Compiled 320 to 271 computations (15.3% saved)

simplify224.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

587×	`associate-/l*_binary64_18437`
474×	`distribute-rgt-in_binary64_18442`
430×	`distribute-lft-in_binary64_18441`
209×	`associate-/r*_binary64_18436`
206×	`associate-/l/_binary64_18439`
178×	`associate-*l/_binary64_18435`
161×	`associate-+l+_binary64_18425`
155×	`associate-/r/_binary64_18438`
140×	`associate-+r+_binary64_18424`
123×	`associate-*r/_binary64_18434`
95×	`associate-l_binary64_18433`
80×	`associate-r_binary64_18432`
55×	`div-sub_binary64_18497`
54×	`cancel-sign-sub-inv_binary64_18458`
47×	`*-commutative_binary64_18423`
44×	`times-frac_binary64_18498` `sub-neg_binary64_18485`
40×	`distribute-rgt-neg-in_binary64_18450`
39×	`sqr-pow_binary64_18464`
32×	`*-rgt-identity_binary64_18482`
30×	`associate--r+_binary64_18428`
29×	`unswap-sqr_binary64_18460`
28×	`distribute-lft-neg-in_binary64_18449`
26×	`neg-sub0_binary64_18487`
25×	`neg-mul-1_binary64_18488` `distribute-lft-neg-out_binary64_18451` `distribute-rgt-out_binary64_18445` `associate--l+_binary64_18429`
24×	`exp-prod_binary64_18544`
23×	`associate-+r-_binary64_18426`
22×	`+-commutative_binary64_18422`
21×	`associate-+l-_binary64_18427`
20×	`log-div_binary64_18579` `distribute-neg-in_binary64_18453`
19×	`cube-prod_binary64_18520` `distribute-rgt-neg-out_binary64_18452`
18×	`unsub-neg_binary64_18486`
17×	`log-prod_binary64_18578`
16×	`*-lft-identity_binary64_18481` `pow-sqr_binary64_18465`
14×	`cube-div_binary64_18521` `/-rgt-identity_binary64_18483`
11×	`exp-sum_binary64_18538` `swap-sqr_binary64_18459`
10×	`distribute-rgt-out--_binary64_18446`
9×	`prod-exp_binary64_18541` `distribute-neg-frac_binary64_18456`
6×	`unpow3_binary64_18558` `cube-unmult_binary64_18529` `cube-mult_binary64_18522` `mul-1-neg_binary64_18484` `difference-of-squares_binary64_18461`
5×	`log-pow_binary64_18581` `log-rec_binary64_18580` `pow-plus_binary64_18555`
4×	`div-exp_binary64_18543` `distribute-lft-out_binary64_18443` `associate--l-_binary64_18430`
3×	`pow-base-1_binary64_18552` `exp-diff_binary64_18540` `rem-sqrt-square_binary64_18505` `+-rgt-identity_binary64_18477` `distribute-rgt1-in_binary64_18448` `distribute-lft-out--_binary64_18444`
2×	`rec-exp_binary64_18542` `rem-square-sqrt_binary64_18504` `difference-of-sqr-1_binary64_18462` `distribute-frac-neg_binary64_18455` `distribute-lft1-in_binary64_18447`
1×	`1-exp_binary64_18536` `exp-1-e_binary64_18535` `rem-log-exp_binary64_18533` `rem-3cbrt-lft_binary64_18517` `rem-cbrt-cube_binary64_18516` `remove-double-neg_binary64_18480` `difference-of-sqr--1_binary64_18463` `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` `unpow1/3_binary64_18559` `unpow2_binary64_18557` `unpow1/2_binary64_18556` `exp-to-pow_binary64_18554` `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-neg_binary64_18539` `e-exp-1_binary64_18537` `exp-0_binary64_18534` `rem-exp-log_binary64_18532` `cube-neg_binary64_18519` `rem-3cbrt-rft_binary64_18518` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `sqr-neg_binary64_18506` `sub0-neg_binary64_18479` `--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` `cancel-sign-sub_binary64_18457` `distribute-neg-out_binary64_18454`

Counts

82 → 183

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1381
1	353	1183
2	1230	1174

prune308.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	183	0	183
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	183	5	188

Error

Counts

188 → 5

Compiler

Compiled 4575 to 3378 computations (26.2% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 (.f64 4 (sqrt.f64 x)) 1))))
0.0b	(/.f64 (+.f64 x -1) (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1)))
0.1b	(pow.f64 (.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 (.f64 4 (sqrt.f64 x)) 1)))) 3)
1.0b	(cbrt.f64 (pow.f64 (.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 (.f64 4 (sqrt.f64 x)) 1)))) 3))

rewrite310.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

68×	`*-un-lft-identity_binary64_18492`
42×	`add-sqr-sqrt_binary64_18514`
41×	`times-frac_binary64_18498`
28×	`add-cube-cbrt_binary64_18527`
26×	`associate-r_binary64_18432`
20×	`distribute-lft-out_binary64_18443`
17×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
9×	`pow1_binary64_18553` `difference-of-sqr--1_binary64_18463`
8×	`cbrt-prod_binary64_18523`
5×	`associate-/l*_binary64_18437`
4×	`add-log-exp_binary64_18531` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `associate-/r/_binary64_18438` `associate-/r*_binary64_18436`
3×	`associate-r/_binary64_18434` `pow-unpow_binary64_18569` `div-exp_binary64_18543` `pow-exp_binary64_18560` `rem-cube-cbrt_binary64_18515` `cbrt-undiv_binary64_18526` `flip3-+_binary64_18495` `flip-+_binary64_18466` `associate-l*_binary64_18433`
2×	`cube-div_binary64_18521` `unpow-prod-down_binary64_18571` `unpow3_binary64_18558` `cube-mult_binary64_18522` `cube-prod_binary64_18520` `sqr-pow_binary64_18464` `pow-prod-down_binary64_18563` `pow-pow_binary64_18564` `div-inv_binary64_18489` `associate-/l/_binary64_18439` `unswap-sqr_binary64_18460`
1×	`pow1/3_binary64_18574` `cbrt-div_binary64_18524` `rem-cbrt-cube_binary64_18516` `pow-to-exp_binary64_18561` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `*-commutative_binary64_18423`

Counts

4 → 133

Calls

4 calls:

19.0ms	(.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 (.f64 4 (sqrt.f64 x)) 1))))
14.0ms	(pow.f64 (.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 (.f64 4 (sqrt.f64 x)) 1)))) 3)
14.0ms	(/.f64 (+.f64 x -1) (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1)))
2.0ms	(cbrt.f64 (pow.f64 (.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 (.f64 4 (sqrt.f64 x)) 1)))) 3))

Compiler

Compiled 3944 to 3021 computations (23.4% saved)

series136.0ms (1%)

Error

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt.f64 (pow.f64 (.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 (.f64 4 (sqrt.f64 x)) 1)))) 3))
34.0ms	(pow.f64 (.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 (.f64 4 (sqrt.f64 x)) 1)))) 3)
29.0ms	(.f64 6 (/.f64 (+.f64 x -1) (+.f64 x (+.f64 (.f64 4 (sqrt.f64 x)) 1))))
27.0ms	(/.f64 (+.f64 x -1) (+.f64 x (+.f64 (*.f64 4 (sqrt.f64 x)) 1)))

Compiler

Compiled 284 to 285 computations (-0.4% saved)

simplify408.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

532×	`associate-*l/_binary64_18435`
444×	`distribute-rgt-in_binary64_18442`
431×	`distribute-lft-in_binary64_18441`
424×	`associate-/l*_binary64_18437`
366×	`times-frac_binary64_18498`
201×	`associate-/l/_binary64_18439`
140×	`unswap-sqr_binary64_18460`
112×	`associate-l_binary64_18433`
104×	`log-prod_binary64_18578`
101×	`associate-/r*_binary64_18436`
95×	`associate-r_binary64_18432`
90×	`exp-prod_binary64_18544`
80×	`associate-/r/_binary64_18438`
79×	`swap-sqr_binary64_18459`
63×	`sqr-pow_binary64_18464`
56×	`*-commutative_binary64_18423`
54×	`associate-*r/_binary64_18434`
48×	`cube-prod_binary64_18520`
46×	`log-div_binary64_18579`
35×	`sub-neg_binary64_18485` `pow-sqr_binary64_18465`
34×	`*-lft-identity_binary64_18481`
24×	`div-sub_binary64_18497` `*-rgt-identity_binary64_18482`
22×	`cube-div_binary64_18521`
20×	`neg-sub0_binary64_18487`
19×	`distribute-neg-in_binary64_18453`
18×	`cancel-sign-sub-inv_binary64_18458`
16×	`+-commutative_binary64_18422`
15×	`neg-mul-1_binary64_18488` `unsub-neg_binary64_18486`
14×	`distribute-lft-neg-out_binary64_18451`
13×	`log-pow_binary64_18581` `mul-1-neg_binary64_18484`
12×	`distribute-rgt-neg-out_binary64_18452`
10×	`unpow3_binary64_18558` `distribute-rgt-neg-in_binary64_18450`
9×	`div-exp_binary64_18543` `prod-exp_binary64_18541` `/-rgt-identity_binary64_18483` `distribute-lft-neg-in_binary64_18449`
8×	`pow-plus_binary64_18555` `distribute-neg-frac_binary64_18456`
7×	`cube-mult_binary64_18522` `associate--r+_binary64_18428`
5×	`cube-unmult_binary64_18529` `rem-cbrt-cube_binary64_18516` `rem-sqrt-square_binary64_18505`
4×	`distribute-rgt-out_binary64_18445` `associate-+l+_binary64_18425`
3×	`rec-exp_binary64_18542` `distribute-rgt1-in_binary64_18448` `count-2_binary64_18440` `associate-+r-_binary64_18426` `associate-+r+_binary64_18424`
2×	`log-rec_binary64_18580` `distribute-rgt-out--_binary64_18446` `associate-+l-_binary64_18427`
1×	`unpow1_binary64_18550` `1-exp_binary64_18536` `exp-1-e_binary64_18535` `rem-log-exp_binary64_18533` `rem-3cbrt-lft_binary64_18517` `remove-double-neg_binary64_18480` `+-rgt-identity_binary64_18477` `rgt-mult-inverse_binary64_18469` `difference-of-squares_binary64_18461` `distribute-neg-out_binary64_18454`
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` `unpow2_binary64_18557` `unpow1/2_binary64_18556` `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` `exp-diff_binary64_18540` `exp-neg_binary64_18539` `exp-sum_binary64_18538` `e-exp-1_binary64_18537` `exp-0_binary64_18534` `rem-exp-log_binary64_18532` `cube-neg_binary64_18519` `rem-3cbrt-rft_binary64_18518` `rem-cube-cbrt_binary64_18515` `sqr-abs_binary64_18507` `sqr-neg_binary64_18506` `rem-square-sqrt_binary64_18504` `sub0-neg_binary64_18479` `--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` `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-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

145 → 708

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	3514
1	388	3385
2	1454	3363

prune2.5s (17.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	708	0	708
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	708	5	713

Error

Counts

713 → 5

Compiler

Compiled 22659 to 17238 computations (23.9% saved)

regimes172.0ms (1.2%)

Accuracy

Total 0.0b remaining (97.4%)

Threshold costs 0.0b (97.4%)

Compiler

Compiled 1644 to 1402 computations (14.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_18422`
1×	`1-exp_binary64_18536` `*-commutative_binary64_18423`
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` `exp-1-e_binary64_18535` `exp-0_binary64_18534` `sqr-abs_binary64_18507` `sqr-neg_binary64_18506` `neg-mul-1_binary64_18488` `neg-sub0_binary64_18487` `unsub-neg_binary64_18486` `sub-neg_binary64_18485` `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	13	21
1	19	21

Proof

(/ f64 (+ f64 h0 -1) (/ f64 (+ f64 1 (+ f64 h0 (* f64 4 (sqrt f64 h0)))) 6))

end0.0ms (0%)

sample1.3s (9.5%)

Algorithm

1×

intervals

Results

329.0ms

8000×

body

128

valid

Compiler

Compiled 823 to 698 computations (15.2% saved)

Details

analyze3.0ms (0%)

sample23.0ms (0.2%)

simplify1.2s (8.6%)

prune11.0ms (0.1%)

localize12.0ms (0.1%)

rewrite357.0ms (2.5%)

series71.0ms (0.5%)

simplify909.0ms (6.5%)

prune4.2s (30.2%)

localize9.0ms (0.1%)

rewrite194.0ms (1.4%)

series72.0ms (0.5%)

simplify412.0ms (2.9%)

prune865.0ms (6.2%)

localize9.0ms (0.1%)

rewrite126.0ms (0.9%)

series103.0ms (0.7%)

simplify224.0ms (1.6%)

prune308.0ms (2.2%)

localize12.0ms (0.1%)

rewrite310.0ms (2.2%)

series136.0ms (1%)

simplify408.0ms (2.9%)

prune2.5s (17.9%)

regimes172.0ms (1.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.3s (9.5%)

Profiling