Details

analyze209.0ms (4.8%)

Algorithm

1×	search
2×	egg-herbie

Rules

28×	`associate-l_binary64_21502`
26×	`associate-r_binary64_21501`
11×	`*-commutative_binary64_21492`
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_21824` `erf-erfc_binary64_21823` `erf-odd_binary64_21822` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `not-gte_binary64_21813` `not-lte_binary64_21812` `not-gt_binary64_21811` `not-lt_binary64_21810` `gte-same_binary64_21809` `lte-same_binary64_21808` `gt-same_binary64_21807` `lt-same_binary64_21806` `sinh---cosh_binary64_21753` `sinh-+-cosh_binary64_21752` `sinh-cosh_binary64_21751` `tanh-def-c_binary64_21750` `tanh-def-b_binary64_21749` `tanh-def-a_binary64_21748` `cosh-def_binary64_21747` `sinh-def_binary64_21746` `tan-neg_binary64_21693` `cos-neg_binary64_21692` `sin-neg_binary64_21691` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `hang-m-tan_binary64_21687` `hang-p-tan_binary64_21686` `hang-m0-tan_binary64_21685` `hang-p0-tan_binary64_21684` `hang-0m-tan_binary64_21683` `hang-0p-tan_binary64_21682` `tan-+PI/2_binary64_21681` `tan-+PI_binary64_21680` `tan-PI_binary64_21679` `tan-PI/3_binary64_21678` `tan-PI/4_binary64_21677` `tan-PI/6_binary64_21676` `cos-+PI/2_binary64_21675` `cos-+PI_binary64_21674` `cos-PI_binary64_21673` `cos-PI/2_binary64_21672` `cos-PI/3_binary64_21671` `cos-PI/4_binary64_21670` `cos-PI/6_binary64_21669` `sin-+PI/2_binary64_21668` `sin-+PI_binary64_21667` `sin-PI_binary64_21666` `sin-PI/2_binary64_21665` `sin-PI/3_binary64_21664` `sin-PI/4_binary64_21663` `sin-PI/6_binary64_21662` `sub-1-sin_binary64_21661` `sub-1-cos_binary64_21660` `-1-add-sin_binary64_21659` `-1-add-cos_binary64_21658` `1-sub-sin_binary64_21657` `1-sub-cos_binary64_21656` `cos-sin-sum_binary64_21655` `log-E_binary64_21651` `log-pow_binary64_21650` `log-rec_binary64_21649` `log-div_binary64_21648` `log-prod_binary64_21647` `pow-base-0_binary64_21645` `unpow1/3_binary64_21628` `unpow3_binary64_21627` `unpow2_binary64_21626` `unpow1/2_binary64_21625` `pow-plus_binary64_21624` `exp-to-pow_binary64_21623` `pow-base-1_binary64_21621` `unpow0_binary64_21620` `unpow1_binary64_21619` `unpow-1_binary64_21618` `exp-lft-cube_binary64_21617` `exp-lft-sqr_binary64_21616` `exp-cbrt_binary64_21615` `exp-sqrt_binary64_21614` `exp-prod_binary64_21613` `div-exp_binary64_21612` `rec-exp_binary64_21611` `prod-exp_binary64_21610` `exp-diff_binary64_21609` `exp-neg_binary64_21608` `exp-sum_binary64_21607` `e-exp-1_binary64_21606` `1-exp_binary64_21605` `exp-1-e_binary64_21604` `exp-0_binary64_21603` `rem-log-exp_binary64_21602` `rem-exp-log_binary64_21601` `cube-unmult_binary64_21598` `cube-mult_binary64_21591` `cube-div_binary64_21590` `cube-prod_binary64_21589` `cube-neg_binary64_21588` `rem-3cbrt-rft_binary64_21587` `rem-3cbrt-lft_binary64_21586` `rem-cbrt-cube_binary64_21585` `rem-cube-cbrt_binary64_21584` `sqr-abs_binary64_21576` `sqr-neg_binary64_21575` `rem-sqrt-square_binary64_21574` `rem-square-sqrt_binary64_21573` `times-frac_binary64_21567` `div-sub_binary64_21566` `neg-mul-1_binary64_21557` `neg-sub0_binary64_21556` `unsub-neg_binary64_21555` `sub-neg_binary64_21554` `mul-1-neg_binary64_21553` `/-rgt-identity_binary64_21552` `-rgt-identity_binary64_21551` `-lft-identity_binary64_21550` `remove-double-neg_binary64_21549` `sub0-neg_binary64_21548` `--rgt-identity_binary64_21547` `+-rgt-identity_binary64_21546` `+-lft-identity_binary64_21545` `mul0-rgt_binary64_21544` `mul0-lft_binary64_21543` `div0_binary64_21542` `-inverses_binary64_21541` `+-inverses_binary64_21540` `lft-mult-inverse_binary64_21539` `rgt-mult-inverse_binary64_21538` `remove-double-div_binary64_21537` `pow-sqr_binary64_21534` `sqr-pow_binary64_21533` `difference-of-sqr--1_binary64_21532` `difference-of-sqr-1_binary64_21531` `difference-of-squares_binary64_21530` `unswap-sqr_binary64_21529` `swap-sqr_binary64_21528` `cancel-sign-sub-inv_binary64_21527` `cancel-sign-sub_binary64_21526` `distribute-neg-frac_binary64_21525` `distribute-frac-neg_binary64_21524` `distribute-neg-out_binary64_21523` `distribute-neg-in_binary64_21522` `distribute-rgt-neg-out_binary64_21521` `distribute-lft-neg-out_binary64_21520` `distribute-rgt-neg-in_binary64_21519` `distribute-lft-neg-in_binary64_21518` `distribute-rgt1-in_binary64_21517` `distribute-lft1-in_binary64_21516` `distribute-rgt-out--_binary64_21515` `distribute-rgt-out_binary64_21514` `distribute-lft-out--_binary64_21513` `distribute-lft-out_binary64_21512` `distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510` `count-2_binary64_21509` `associate-/l/_binary64_21508` `associate-/r/_binary64_21507` `associate-/l_binary64_21506` `associate-/r_binary64_21505` `associate-l/_binary64_21504` `associate-*r/_binary64_21503` `associate--r-_binary64_21500` `associate--l-_binary64_21499` `associate--l+_binary64_21498` `associate--r+_binary64_21497` `associate-+l-_binary64_21496` `associate-+r-_binary64_21495` `associate-+l+_binary64_21494` `associate-+r+_binary64_21493` `+-commutative_binary64_21491`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	20	20
2	48	20
3	58	20
4	54	20
5	54	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
37.5%	62.4%	0.1%	6
50%	37.5%	12.6%	7
56.2%	31.2%	12.6%	8
62.4%	18.7%	18.8%	9
65.6%	15.6%	18.8%	10
68.7%	9.4%	22%	11
70.2%	7.8%	22%	12
71.8%	4.7%	23.5%	13
72.6%	3.9%	23.5%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`associate-l_binary64_21502`
11×	`associate-r_binary64_21501`
10×	`*-commutative_binary64_21492`
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_21824` `erf-erfc_binary64_21823` `erf-odd_binary64_21822` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `not-gte_binary64_21813` `not-lte_binary64_21812` `not-gt_binary64_21811` `not-lt_binary64_21810` `gte-same_binary64_21809` `lte-same_binary64_21808` `gt-same_binary64_21807` `lt-same_binary64_21806` `sinh---cosh_binary64_21753` `sinh-+-cosh_binary64_21752` `sinh-cosh_binary64_21751` `tanh-def-c_binary64_21750` `tanh-def-b_binary64_21749` `tanh-def-a_binary64_21748` `cosh-def_binary64_21747` `sinh-def_binary64_21746` `tan-neg_binary64_21693` `cos-neg_binary64_21692` `sin-neg_binary64_21691` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `hang-m-tan_binary64_21687` `hang-p-tan_binary64_21686` `hang-m0-tan_binary64_21685` `hang-p0-tan_binary64_21684` `hang-0m-tan_binary64_21683` `hang-0p-tan_binary64_21682` `tan-+PI/2_binary64_21681` `tan-+PI_binary64_21680` `tan-PI_binary64_21679` `tan-PI/3_binary64_21678` `tan-PI/4_binary64_21677` `tan-PI/6_binary64_21676` `cos-+PI/2_binary64_21675` `cos-+PI_binary64_21674` `cos-PI_binary64_21673` `cos-PI/2_binary64_21672` `cos-PI/3_binary64_21671` `cos-PI/4_binary64_21670` `cos-PI/6_binary64_21669` `sin-+PI/2_binary64_21668` `sin-+PI_binary64_21667` `sin-PI_binary64_21666` `sin-PI/2_binary64_21665` `sin-PI/3_binary64_21664` `sin-PI/4_binary64_21663` `sin-PI/6_binary64_21662` `sub-1-sin_binary64_21661` `sub-1-cos_binary64_21660` `-1-add-sin_binary64_21659` `-1-add-cos_binary64_21658` `1-sub-sin_binary64_21657` `1-sub-cos_binary64_21656` `cos-sin-sum_binary64_21655` `log-E_binary64_21651` `log-pow_binary64_21650` `log-rec_binary64_21649` `log-div_binary64_21648` `log-prod_binary64_21647` `pow-base-0_binary64_21645` `unpow1/3_binary64_21628` `unpow3_binary64_21627` `unpow2_binary64_21626` `unpow1/2_binary64_21625` `pow-plus_binary64_21624` `exp-to-pow_binary64_21623` `pow-base-1_binary64_21621` `unpow0_binary64_21620` `unpow1_binary64_21619` `unpow-1_binary64_21618` `exp-lft-cube_binary64_21617` `exp-lft-sqr_binary64_21616` `exp-cbrt_binary64_21615` `exp-sqrt_binary64_21614` `exp-prod_binary64_21613` `div-exp_binary64_21612` `rec-exp_binary64_21611` `prod-exp_binary64_21610` `exp-diff_binary64_21609` `exp-neg_binary64_21608` `exp-sum_binary64_21607` `e-exp-1_binary64_21606` `1-exp_binary64_21605` `exp-1-e_binary64_21604` `exp-0_binary64_21603` `rem-log-exp_binary64_21602` `rem-exp-log_binary64_21601` `cube-unmult_binary64_21598` `cube-mult_binary64_21591` `cube-div_binary64_21590` `cube-prod_binary64_21589` `cube-neg_binary64_21588` `rem-3cbrt-rft_binary64_21587` `rem-3cbrt-lft_binary64_21586` `rem-cbrt-cube_binary64_21585` `rem-cube-cbrt_binary64_21584` `sqr-abs_binary64_21576` `sqr-neg_binary64_21575` `rem-sqrt-square_binary64_21574` `rem-square-sqrt_binary64_21573` `times-frac_binary64_21567` `div-sub_binary64_21566` `neg-mul-1_binary64_21557` `neg-sub0_binary64_21556` `unsub-neg_binary64_21555` `sub-neg_binary64_21554` `mul-1-neg_binary64_21553` `/-rgt-identity_binary64_21552` `-rgt-identity_binary64_21551` `-lft-identity_binary64_21550` `remove-double-neg_binary64_21549` `sub0-neg_binary64_21548` `--rgt-identity_binary64_21547` `+-rgt-identity_binary64_21546` `+-lft-identity_binary64_21545` `mul0-rgt_binary64_21544` `mul0-lft_binary64_21543` `div0_binary64_21542` `-inverses_binary64_21541` `+-inverses_binary64_21540` `lft-mult-inverse_binary64_21539` `rgt-mult-inverse_binary64_21538` `remove-double-div_binary64_21537` `pow-sqr_binary64_21534` `sqr-pow_binary64_21533` `difference-of-sqr--1_binary64_21532` `difference-of-sqr-1_binary64_21531` `difference-of-squares_binary64_21530` `unswap-sqr_binary64_21529` `swap-sqr_binary64_21528` `cancel-sign-sub-inv_binary64_21527` `cancel-sign-sub_binary64_21526` `distribute-neg-frac_binary64_21525` `distribute-frac-neg_binary64_21524` `distribute-neg-out_binary64_21523` `distribute-neg-in_binary64_21522` `distribute-rgt-neg-out_binary64_21521` `distribute-lft-neg-out_binary64_21520` `distribute-rgt-neg-in_binary64_21519` `distribute-lft-neg-in_binary64_21518` `distribute-rgt1-in_binary64_21517` `distribute-lft1-in_binary64_21516` `distribute-rgt-out--_binary64_21515` `distribute-rgt-out_binary64_21514` `distribute-lft-out--_binary64_21513` `distribute-lft-out_binary64_21512` `distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510` `count-2_binary64_21509` `associate-/l/_binary64_21508` `associate-/r/_binary64_21507` `associate-/l_binary64_21506` `associate-/r_binary64_21505` `associate-l/_binary64_21504` `associate-*r/_binary64_21503` `associate--r-_binary64_21500` `associate--l-_binary64_21499` `associate--l+_binary64_21498` `associate--r+_binary64_21497` `associate-+l-_binary64_21496` `associate-+r-_binary64_21495` `associate-+l+_binary64_21494` `associate-+r+_binary64_21493` `+-commutative_binary64_21491`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	14	10
2	28	10
3	36	10
4	35	10
5	35	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.5b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 (*.f64 x 3) y) y)
0.4b	(.f64 (.f64 x 3) y)

rewrite51.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
9×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594`
6×	`associate-r_binary64_21501`
4×	`add-cube-cbrt_binary64_21596` `add-sqr-sqrt_binary64_21583` `*-un-lft-identity_binary64_21561`
2×	`add-log-exp_binary64_21600` `associate-l_binary64_21502` `*-commutative_binary64_21492`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 (.f64 (*.f64 x 3) y) y)
5.0ms	(.f64 (.f64 x 3) y)

Compiler

Compiled 503 to 300 computations (40.4% saved)

series185.0ms (4.2%)

Error

0.1b

Counts

2 → 12

Calls

2 calls:

98.0ms	(.f64 (.f64 (*.f64 x 3) y) y)
80.0ms	(.f64 (.f64 x 3) y)

Compiler

Compiled 252 to 207 computations (17.9% saved)

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

420×	`associate-+l+_binary64_21494`
372×	`*-commutative_binary64_21492`
360×	`associate-/l*_binary64_21506`
328×	`associate-*l/_binary64_21504`
303×	`associate-/l/_binary64_21508`
271×	`sqr-pow_binary64_21533`
270×	`unswap-sqr_binary64_21529`
243×	`associate-+r+_binary64_21493`
233×	`associate-/r/_binary64_21507`
215×	`associate-l_binary64_21502`
154×	`distribute-rgt-in_binary64_21511`
142×	`distribute-lft-in_binary64_21510`
132×	`associate-r_binary64_21501`
131×	`pow-sqr_binary64_21534`
100×	`associate-/r*_binary64_21505`
99×	`swap-sqr_binary64_21528`
74×	`cube-prod_binary64_21589`
69×	`times-frac_binary64_21567`
68×	`exp-prod_binary64_21613`
61×	`log-prod_binary64_21647`
46×	`rem-sqrt-square_binary64_21574`
45×	`distribute-rgt-out_binary64_21514`
42×	`associate-*r/_binary64_21503`
31×	`+-commutative_binary64_21491`
27×	`distribute-lft-out_binary64_21512`
22×	`unpow3_binary64_21627`
15×	`*-rgt-identity_binary64_21551` `distribute-rgt1-in_binary64_21517`
14×	`*-lft-identity_binary64_21550`
13×	`cube-unmult_binary64_21598` `cube-mult_binary64_21591`
11×	`pow-plus_binary64_21624` `prod-exp_binary64_21610`
10×	`unpow1/2_binary64_21625`
8×	`distribute-lft1-in_binary64_21516` `count-2_binary64_21509`
7×	`exp-lft-cube_binary64_21617`
5×	`log-pow_binary64_21650` `log-div_binary64_21648` `cube-div_binary64_21590`
1×	`unpow2_binary64_21626` `unpow1_binary64_21619` `exp-lft-sqr_binary64_21616` `exp-sqrt_binary64_21614` `1-exp_binary64_21605` `exp-1-e_binary64_21604`
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_21824` `erf-erfc_binary64_21823` `erf-odd_binary64_21822` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `not-gte_binary64_21813` `not-lte_binary64_21812` `not-gt_binary64_21811` `not-lt_binary64_21810` `gte-same_binary64_21809` `lte-same_binary64_21808` `gt-same_binary64_21807` `lt-same_binary64_21806` `sinh---cosh_binary64_21753` `sinh-+-cosh_binary64_21752` `sinh-cosh_binary64_21751` `tanh-def-c_binary64_21750` `tanh-def-b_binary64_21749` `tanh-def-a_binary64_21748` `cosh-def_binary64_21747` `sinh-def_binary64_21746` `tan-neg_binary64_21693` `cos-neg_binary64_21692` `sin-neg_binary64_21691` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `hang-m-tan_binary64_21687` `hang-p-tan_binary64_21686` `hang-m0-tan_binary64_21685` `hang-p0-tan_binary64_21684` `hang-0m-tan_binary64_21683` `hang-0p-tan_binary64_21682` `tan-+PI/2_binary64_21681` `tan-+PI_binary64_21680` `tan-PI_binary64_21679` `tan-PI/3_binary64_21678` `tan-PI/4_binary64_21677` `tan-PI/6_binary64_21676` `cos-+PI/2_binary64_21675` `cos-+PI_binary64_21674` `cos-PI_binary64_21673` `cos-PI/2_binary64_21672` `cos-PI/3_binary64_21671` `cos-PI/4_binary64_21670` `cos-PI/6_binary64_21669` `sin-+PI/2_binary64_21668` `sin-+PI_binary64_21667` `sin-PI_binary64_21666` `sin-PI/2_binary64_21665` `sin-PI/3_binary64_21664` `sin-PI/4_binary64_21663` `sin-PI/6_binary64_21662` `sub-1-sin_binary64_21661` `sub-1-cos_binary64_21660` `-1-add-sin_binary64_21659` `-1-add-cos_binary64_21658` `1-sub-sin_binary64_21657` `1-sub-cos_binary64_21656` `cos-sin-sum_binary64_21655` `log-E_binary64_21651` `log-rec_binary64_21649` `pow-base-0_binary64_21645` `unpow1/3_binary64_21628` `exp-to-pow_binary64_21623` `pow-base-1_binary64_21621` `unpow0_binary64_21620` `unpow-1_binary64_21618` `exp-cbrt_binary64_21615` `div-exp_binary64_21612` `rec-exp_binary64_21611` `exp-diff_binary64_21609` `exp-neg_binary64_21608` `exp-sum_binary64_21607` `e-exp-1_binary64_21606` `exp-0_binary64_21603` `rem-log-exp_binary64_21602` `rem-exp-log_binary64_21601` `cube-neg_binary64_21588` `rem-3cbrt-rft_binary64_21587` `rem-3cbrt-lft_binary64_21586` `rem-cbrt-cube_binary64_21585` `rem-cube-cbrt_binary64_21584` `sqr-abs_binary64_21576` `sqr-neg_binary64_21575` `rem-square-sqrt_binary64_21573` `div-sub_binary64_21566` `neg-mul-1_binary64_21557` `neg-sub0_binary64_21556` `unsub-neg_binary64_21555` `sub-neg_binary64_21554` `mul-1-neg_binary64_21553` `/-rgt-identity_binary64_21552` `remove-double-neg_binary64_21549` `sub0-neg_binary64_21548` `--rgt-identity_binary64_21547` `+-rgt-identity_binary64_21546` `+-lft-identity_binary64_21545` `mul0-rgt_binary64_21544` `mul0-lft_binary64_21543` `div0_binary64_21542` `*-inverses_binary64_21541` `+-inverses_binary64_21540` `lft-mult-inverse_binary64_21539` `rgt-mult-inverse_binary64_21538` `remove-double-div_binary64_21537` `difference-of-sqr--1_binary64_21532` `difference-of-sqr-1_binary64_21531` `difference-of-squares_binary64_21530` `cancel-sign-sub-inv_binary64_21527` `cancel-sign-sub_binary64_21526` `distribute-neg-frac_binary64_21525` `distribute-frac-neg_binary64_21524` `distribute-neg-out_binary64_21523` `distribute-neg-in_binary64_21522` `distribute-rgt-neg-out_binary64_21521` `distribute-lft-neg-out_binary64_21520` `distribute-rgt-neg-in_binary64_21519` `distribute-lft-neg-in_binary64_21518` `distribute-rgt-out--_binary64_21515` `distribute-lft-out--_binary64_21513` `associate--r-_binary64_21500` `associate--l-_binary64_21499` `associate--l+_binary64_21498` `associate--r+_binary64_21497` `associate-+l-_binary64_21496` `associate-+r-_binary64_21495`

Counts

51 → 37

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	612
1	159	504
2	676	504
3	1005	502
4	1463	502
5	2702	502
6	5058	502

prune39.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	29	8	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	9	38

Error

0.0b

Counts

38 → 9

Compiler

Compiled 499 to 269 computations (46.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 3 (*.f64 x y)) y)
0.3b	(.f64 3 (.f64 x y))

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
9×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594`
4×	`add-cube-cbrt_binary64_21596` `add-sqr-sqrt_binary64_21583` `-un-lft-identity_binary64_21561` `associate-l_binary64_21502` `associate-r*_binary64_21501`
2×	`add-log-exp_binary64_21600` `*-commutative_binary64_21492`

Counts

2 → 39

Calls

2 calls:

7.0ms	(.f64 (.f64 3 (*.f64 x y)) y)
5.0ms	(.f64 3 (.f64 x y))

Compiler

Compiled 503 to 262 computations (47.9% saved)

series188.0ms (4.3%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

102.0ms	(.f64 (.f64 3 (*.f64 x y)) y)
80.0ms	(.f64 3 (.f64 x y))

Compiler

Compiled 252 to 207 computations (17.9% saved)

simplify84.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

341×	`*-commutative_binary64_21492`
340×	`associate-+l+_binary64_21494`
331×	`associate-/l*_binary64_21506`
295×	`associate-*l/_binary64_21504`
292×	`associate-/l/_binary64_21508`
267×	`unswap-sqr_binary64_21529`
262×	`associate-/r/_binary64_21507`
237×	`sqr-pow_binary64_21533`
194×	`log-div_binary64_21648`
190×	`associate-+r+_binary64_21493`
163×	`associate-l_binary64_21502`
124×	`associate-r_binary64_21501`
115×	`pow-sqr_binary64_21534` `distribute-rgt-in_binary64_21511`
107×	`distribute-lft-in_binary64_21510`
94×	`associate-/r*_binary64_21505`
81×	`swap-sqr_binary64_21528`
80×	`times-frac_binary64_21567`
73×	`cube-prod_binary64_21589`
68×	`exp-prod_binary64_21613`
60×	`log-prod_binary64_21647`
51×	`distribute-rgt-out_binary64_21514`
38×	`associate-*r/_binary64_21503`
37×	`rem-sqrt-square_binary64_21574`
34×	`distribute-lft-out_binary64_21512`
27×	`+-commutative_binary64_21491`
22×	`unpow3_binary64_21627`
14×	`cube-unmult_binary64_21598` `distribute-rgt1-in_binary64_21517`
12×	`pow-plus_binary64_21624` `-rgt-identity_binary64_21551` `-lft-identity_binary64_21550`
11×	`prod-exp_binary64_21610`
10×	`cube-mult_binary64_21591`
8×	`unpow1/2_binary64_21625`
7×	`distribute-lft1-in_binary64_21516` `count-2_binary64_21509`
6×	`log-pow_binary64_21650` `log-rec_binary64_21649`
5×	`exp-lft-cube_binary64_21617` `cube-div_binary64_21590`
1×	`unpow2_binary64_21626` `unpow1_binary64_21619` `exp-lft-sqr_binary64_21616` `exp-sqrt_binary64_21614` `1-exp_binary64_21605` `exp-1-e_binary64_21604` `/-rgt-identity_binary64_21552`
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_21824` `erf-erfc_binary64_21823` `erf-odd_binary64_21822` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `not-gte_binary64_21813` `not-lte_binary64_21812` `not-gt_binary64_21811` `not-lt_binary64_21810` `gte-same_binary64_21809` `lte-same_binary64_21808` `gt-same_binary64_21807` `lt-same_binary64_21806` `sinh---cosh_binary64_21753` `sinh-+-cosh_binary64_21752` `sinh-cosh_binary64_21751` `tanh-def-c_binary64_21750` `tanh-def-b_binary64_21749` `tanh-def-a_binary64_21748` `cosh-def_binary64_21747` `sinh-def_binary64_21746` `tan-neg_binary64_21693` `cos-neg_binary64_21692` `sin-neg_binary64_21691` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `hang-m-tan_binary64_21687` `hang-p-tan_binary64_21686` `hang-m0-tan_binary64_21685` `hang-p0-tan_binary64_21684` `hang-0m-tan_binary64_21683` `hang-0p-tan_binary64_21682` `tan-+PI/2_binary64_21681` `tan-+PI_binary64_21680` `tan-PI_binary64_21679` `tan-PI/3_binary64_21678` `tan-PI/4_binary64_21677` `tan-PI/6_binary64_21676` `cos-+PI/2_binary64_21675` `cos-+PI_binary64_21674` `cos-PI_binary64_21673` `cos-PI/2_binary64_21672` `cos-PI/3_binary64_21671` `cos-PI/4_binary64_21670` `cos-PI/6_binary64_21669` `sin-+PI/2_binary64_21668` `sin-+PI_binary64_21667` `sin-PI_binary64_21666` `sin-PI/2_binary64_21665` `sin-PI/3_binary64_21664` `sin-PI/4_binary64_21663` `sin-PI/6_binary64_21662` `sub-1-sin_binary64_21661` `sub-1-cos_binary64_21660` `-1-add-sin_binary64_21659` `-1-add-cos_binary64_21658` `1-sub-sin_binary64_21657` `1-sub-cos_binary64_21656` `cos-sin-sum_binary64_21655` `log-E_binary64_21651` `pow-base-0_binary64_21645` `unpow1/3_binary64_21628` `exp-to-pow_binary64_21623` `pow-base-1_binary64_21621` `unpow0_binary64_21620` `unpow-1_binary64_21618` `exp-cbrt_binary64_21615` `div-exp_binary64_21612` `rec-exp_binary64_21611` `exp-diff_binary64_21609` `exp-neg_binary64_21608` `exp-sum_binary64_21607` `e-exp-1_binary64_21606` `exp-0_binary64_21603` `rem-log-exp_binary64_21602` `rem-exp-log_binary64_21601` `cube-neg_binary64_21588` `rem-3cbrt-rft_binary64_21587` `rem-3cbrt-lft_binary64_21586` `rem-cbrt-cube_binary64_21585` `rem-cube-cbrt_binary64_21584` `sqr-abs_binary64_21576` `sqr-neg_binary64_21575` `rem-square-sqrt_binary64_21573` `div-sub_binary64_21566` `neg-mul-1_binary64_21557` `neg-sub0_binary64_21556` `unsub-neg_binary64_21555` `sub-neg_binary64_21554` `mul-1-neg_binary64_21553` `remove-double-neg_binary64_21549` `sub0-neg_binary64_21548` `--rgt-identity_binary64_21547` `+-rgt-identity_binary64_21546` `+-lft-identity_binary64_21545` `mul0-rgt_binary64_21544` `mul0-lft_binary64_21543` `div0_binary64_21542` `*-inverses_binary64_21541` `+-inverses_binary64_21540` `lft-mult-inverse_binary64_21539` `rgt-mult-inverse_binary64_21538` `remove-double-div_binary64_21537` `difference-of-sqr--1_binary64_21532` `difference-of-sqr-1_binary64_21531` `difference-of-squares_binary64_21530` `cancel-sign-sub-inv_binary64_21527` `cancel-sign-sub_binary64_21526` `distribute-neg-frac_binary64_21525` `distribute-frac-neg_binary64_21524` `distribute-neg-out_binary64_21523` `distribute-neg-in_binary64_21522` `distribute-rgt-neg-out_binary64_21521` `distribute-lft-neg-out_binary64_21520` `distribute-rgt-neg-in_binary64_21519` `distribute-lft-neg-in_binary64_21518` `distribute-rgt-out--_binary64_21515` `distribute-lft-out--_binary64_21513` `associate--r-_binary64_21500` `associate--l-_binary64_21499` `associate--l+_binary64_21498` `associate--r+_binary64_21497` `associate-+l-_binary64_21496` `associate-+r-_binary64_21495`

Counts

51 → 30

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	613
1	153	505
2	577	505
3	905	503
4	1311	503
5	2484	503
6	4763	503
7	4998	503

prune28.0ms (0.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	30	9	39

Error

0.0b

Counts

39 → 9

Compiler

Compiled 394 to 216 computations (45.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (.f64 (sqrt.f64 3) (.f64 (.f64 x y) (sqrt.f64 3))) y)
0.3b	(.f64 (.f64 x y) (sqrt.f64 3))
0.4b	(.f64 (sqrt.f64 3) (.f64 (*.f64 x y) (sqrt.f64 3)))

rewrite122.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
19×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594`
10×	`associate-r_binary64_21501`
8×	`add-cube-cbrt_binary64_21596` `add-sqr-sqrt_binary64_21583` `-un-lft-identity_binary64_21561` `associate-l*_binary64_21502`
6×	`sqrt-prod_binary64_21577`
3×	`add-log-exp_binary64_21600` `*-commutative_binary64_21492`

Counts

3 → 69

Calls

3 calls:

12.0ms	(.f64 (.f64 (sqrt.f64 3) (.f64 (.f64 x y) (sqrt.f64 3))) y)
12.0ms	(.f64 (sqrt.f64 3) (.f64 (*.f64 x y) (sqrt.f64 3)))
7.0ms	(.f64 (.f64 x y) (sqrt.f64 3))

Compiler

Compiled 1271 to 859 computations (32.4% saved)

series544.0ms (12.4%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

213.0ms	(.f64 (.f64 (sqrt.f64 3) (.f64 (.f64 x y) (sqrt.f64 3))) y)
201.0ms	(.f64 (sqrt.f64 3) (.f64 (*.f64 x y) (sqrt.f64 3)))
117.0ms	(.f64 (.f64 x y) (sqrt.f64 3))

Compiler

Compiled 558 to 488 computations (12.5% saved)

simplify98.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

655×	`unswap-sqr_binary64_21529`
469×	`*-commutative_binary64_21492`
311×	`associate-l_binary64_21502`
260×	`associate-r_binary64_21501`
248×	`sqr-pow_binary64_21533`
242×	`associate-/l*_binary64_21506`
180×	`associate-+l+_binary64_21494`
171×	`exp-prod_binary64_21613`
166×	`log-prod_binary64_21647`
136×	`swap-sqr_binary64_21528`
128×	`associate-/r/_binary64_21507`
122×	`associate-/l/_binary64_21508`
119×	`cube-prod_binary64_21589`
115×	`+-commutative_binary64_21491`
109×	`associate-/r*_binary64_21505`
107×	`associate-+r+_binary64_21493`
99×	`associate-*r/_binary64_21503`
89×	`pow-sqr_binary64_21534`
54×	`distribute-rgt-in_binary64_21511`
46×	`unpow3_binary64_21627`
35×	`distribute-lft-in_binary64_21510`
27×	`rem-sqrt-square_binary64_21574`
22×	`cube-mult_binary64_21591`
19×	`*-rgt-identity_binary64_21551` `distribute-lft-out_binary64_21512`
18×	`times-frac_binary64_21567`
16×	`log-div_binary64_21648`
15×	`unpow1/2_binary64_21625` `*-lft-identity_binary64_21550`
12×	`distribute-rgt-out_binary64_21514`
11×	`pow-plus_binary64_21624`
9×	`log-pow_binary64_21650`
8×	`cube-unmult_binary64_21598`
7×	`count-2_binary64_21509` `associate-*l/_binary64_21504`
5×	`exp-lft-cube_binary64_21617` `distribute-rgt1-in_binary64_21517`
3×	`distribute-lft1-in_binary64_21516`
2×	`unpow2_binary64_21626` `unpow1_binary64_21619` `exp-sqrt_binary64_21614` `prod-exp_binary64_21610`
1×	`1-exp_binary64_21605` `exp-1-e_binary64_21604` `rem-square-sqrt_binary64_21573` `/-rgt-identity_binary64_21552`
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_21824` `erf-erfc_binary64_21823` `erf-odd_binary64_21822` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `not-gte_binary64_21813` `not-lte_binary64_21812` `not-gt_binary64_21811` `not-lt_binary64_21810` `gte-same_binary64_21809` `lte-same_binary64_21808` `gt-same_binary64_21807` `lt-same_binary64_21806` `sinh---cosh_binary64_21753` `sinh-+-cosh_binary64_21752` `sinh-cosh_binary64_21751` `tanh-def-c_binary64_21750` `tanh-def-b_binary64_21749` `tanh-def-a_binary64_21748` `cosh-def_binary64_21747` `sinh-def_binary64_21746` `tan-neg_binary64_21693` `cos-neg_binary64_21692` `sin-neg_binary64_21691` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `hang-m-tan_binary64_21687` `hang-p-tan_binary64_21686` `hang-m0-tan_binary64_21685` `hang-p0-tan_binary64_21684` `hang-0m-tan_binary64_21683` `hang-0p-tan_binary64_21682` `tan-+PI/2_binary64_21681` `tan-+PI_binary64_21680` `tan-PI_binary64_21679` `tan-PI/3_binary64_21678` `tan-PI/4_binary64_21677` `tan-PI/6_binary64_21676` `cos-+PI/2_binary64_21675` `cos-+PI_binary64_21674` `cos-PI_binary64_21673` `cos-PI/2_binary64_21672` `cos-PI/3_binary64_21671` `cos-PI/4_binary64_21670` `cos-PI/6_binary64_21669` `sin-+PI/2_binary64_21668` `sin-+PI_binary64_21667` `sin-PI_binary64_21666` `sin-PI/2_binary64_21665` `sin-PI/3_binary64_21664` `sin-PI/4_binary64_21663` `sin-PI/6_binary64_21662` `sub-1-sin_binary64_21661` `sub-1-cos_binary64_21660` `-1-add-sin_binary64_21659` `-1-add-cos_binary64_21658` `1-sub-sin_binary64_21657` `1-sub-cos_binary64_21656` `cos-sin-sum_binary64_21655` `log-E_binary64_21651` `log-rec_binary64_21649` `pow-base-0_binary64_21645` `unpow1/3_binary64_21628` `exp-to-pow_binary64_21623` `pow-base-1_binary64_21621` `unpow0_binary64_21620` `unpow-1_binary64_21618` `exp-lft-sqr_binary64_21616` `exp-cbrt_binary64_21615` `div-exp_binary64_21612` `rec-exp_binary64_21611` `exp-diff_binary64_21609` `exp-neg_binary64_21608` `exp-sum_binary64_21607` `e-exp-1_binary64_21606` `exp-0_binary64_21603` `rem-log-exp_binary64_21602` `rem-exp-log_binary64_21601` `cube-div_binary64_21590` `cube-neg_binary64_21588` `rem-3cbrt-rft_binary64_21587` `rem-3cbrt-lft_binary64_21586` `rem-cbrt-cube_binary64_21585` `rem-cube-cbrt_binary64_21584` `sqr-abs_binary64_21576` `sqr-neg_binary64_21575` `div-sub_binary64_21566` `neg-mul-1_binary64_21557` `neg-sub0_binary64_21556` `unsub-neg_binary64_21555` `sub-neg_binary64_21554` `mul-1-neg_binary64_21553` `remove-double-neg_binary64_21549` `sub0-neg_binary64_21548` `--rgt-identity_binary64_21547` `+-rgt-identity_binary64_21546` `+-lft-identity_binary64_21545` `mul0-rgt_binary64_21544` `mul0-lft_binary64_21543` `div0_binary64_21542` `*-inverses_binary64_21541` `+-inverses_binary64_21540` `lft-mult-inverse_binary64_21539` `rgt-mult-inverse_binary64_21538` `remove-double-div_binary64_21537` `difference-of-sqr--1_binary64_21532` `difference-of-sqr-1_binary64_21531` `difference-of-squares_binary64_21530` `cancel-sign-sub-inv_binary64_21527` `cancel-sign-sub_binary64_21526` `distribute-neg-frac_binary64_21525` `distribute-frac-neg_binary64_21524` `distribute-neg-out_binary64_21523` `distribute-neg-in_binary64_21522` `distribute-rgt-neg-out_binary64_21521` `distribute-lft-neg-out_binary64_21520` `distribute-rgt-neg-in_binary64_21519` `distribute-lft-neg-in_binary64_21518` `distribute-rgt-out--_binary64_21515` `distribute-lft-out--_binary64_21513` `associate--r-_binary64_21500` `associate--l-_binary64_21499` `associate--l+_binary64_21498` `associate--r+_binary64_21497` `associate-+l-_binary64_21496` `associate-+r-_binary64_21495`

Counts

87 → 69

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1328
1	242	903
2	878	903
3	1440	895
4	2385	895
5	4810	895
6	4984	895

prune63.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	70	8	78

Error

0.0b

Counts

78 → 8

Compiler

Compiled 851 to 567 computations (33.4% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (.f64 x (*.f64 (sqrt.f64 3) y)))
0.2b	(.f64 x (.f64 (sqrt.f64 3) y))
0.2b	(.f64 (sqrt.f64 3) (.f64 y (.f64 x (.f64 (sqrt.f64 3) y))))
0.4b	(*.f64 (sqrt.f64 3) y)

rewrite148.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
20×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594`
18×	`associate-l_binary64_21502`
15×	`add-sqr-sqrt_binary64_21583`
11×	`add-cube-cbrt_binary64_21596` `*-un-lft-identity_binary64_21561`
7×	`sqrt-prod_binary64_21577`
6×	`associate-r_binary64_21501`
4×	`add-log-exp_binary64_21600` `*-commutative_binary64_21492`
2×	`unswap-sqr_binary64_21529`

Counts

4 → 88

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 3) (.f64 y (.f64 x (.f64 (sqrt.f64 3) y))))
9.0ms	(.f64 y (.f64 x (*.f64 (sqrt.f64 3) y)))
6.0ms	(.f64 x (.f64 (sqrt.f64 3) y))
6.0ms	(*.f64 (sqrt.f64 3) y)

Compiler

Compiled 1568 to 1140 computations (27.3% saved)

series527.0ms (12%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

204.0ms	(.f64 (sqrt.f64 3) (.f64 y (.f64 x (.f64 (sqrt.f64 3) y))))
134.0ms	(.f64 y (.f64 x (*.f64 (sqrt.f64 3) y)))
124.0ms	(.f64 x (.f64 (sqrt.f64 3) y))
47.0ms	(*.f64 (sqrt.f64 3) y)

Compiler

Compiled 675 to 608 computations (9.9% saved)

simplify107.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

464×	`sqr-pow_binary64_21533`
444×	`*-commutative_binary64_21492`
317×	`associate-/l*_binary64_21506`
285×	`times-frac_binary64_21567`
258×	`associate-r_binary64_21501`
242×	`associate-l_binary64_21502`
199×	`pow-sqr_binary64_21534`
186×	`exp-prod_binary64_21613` `cube-prod_binary64_21589`
183×	`swap-sqr_binary64_21528`
177×	`associate-/l/_binary64_21508`
170×	`log-prod_binary64_21647`
139×	`associate-/r/_binary64_21507`
138×	`associate-+l+_binary64_21494`
129×	`unswap-sqr_binary64_21529`
100×	`+-commutative_binary64_21491`
95×	`associate-/r*_binary64_21505`
91×	`associate-+r+_binary64_21493`
90×	`associate-*r/_binary64_21503`
83×	`distribute-rgt-in_binary64_21511`
56×	`distribute-lft-in_binary64_21510`
42×	`rem-sqrt-square_binary64_21574`
36×	`unpow3_binary64_21627`
35×	`log-div_binary64_21648` `cube-div_binary64_21590` `*-rgt-identity_binary64_21551`
32×	`*-lft-identity_binary64_21550`
30×	`cube-mult_binary64_21591`
21×	`associate-*l/_binary64_21504`
19×	`distribute-lft-out_binary64_21512`
14×	`unpow1/2_binary64_21625`
11×	`distribute-rgt-out_binary64_21514`
9×	`log-pow_binary64_21650`
7×	`cube-unmult_binary64_21598` `count-2_binary64_21509`
6×	`pow-plus_binary64_21624` `prod-exp_binary64_21610` `/-rgt-identity_binary64_21552` `distribute-rgt1-in_binary64_21517`
4×	`exp-lft-cube_binary64_21617`
3×	`exp-sqrt_binary64_21614` `distribute-lft1-in_binary64_21516`
2×	`unpow2_binary64_21626` `unpow1_binary64_21619`
1×	`1-exp_binary64_21605` `exp-1-e_binary64_21604` `rem-square-sqrt_binary64_21573`
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_21824` `erf-erfc_binary64_21823` `erf-odd_binary64_21822` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `not-gte_binary64_21813` `not-lte_binary64_21812` `not-gt_binary64_21811` `not-lt_binary64_21810` `gte-same_binary64_21809` `lte-same_binary64_21808` `gt-same_binary64_21807` `lt-same_binary64_21806` `sinh---cosh_binary64_21753` `sinh-+-cosh_binary64_21752` `sinh-cosh_binary64_21751` `tanh-def-c_binary64_21750` `tanh-def-b_binary64_21749` `tanh-def-a_binary64_21748` `cosh-def_binary64_21747` `sinh-def_binary64_21746` `tan-neg_binary64_21693` `cos-neg_binary64_21692` `sin-neg_binary64_21691` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `hang-m-tan_binary64_21687` `hang-p-tan_binary64_21686` `hang-m0-tan_binary64_21685` `hang-p0-tan_binary64_21684` `hang-0m-tan_binary64_21683` `hang-0p-tan_binary64_21682` `tan-+PI/2_binary64_21681` `tan-+PI_binary64_21680` `tan-PI_binary64_21679` `tan-PI/3_binary64_21678` `tan-PI/4_binary64_21677` `tan-PI/6_binary64_21676` `cos-+PI/2_binary64_21675` `cos-+PI_binary64_21674` `cos-PI_binary64_21673` `cos-PI/2_binary64_21672` `cos-PI/3_binary64_21671` `cos-PI/4_binary64_21670` `cos-PI/6_binary64_21669` `sin-+PI/2_binary64_21668` `sin-+PI_binary64_21667` `sin-PI_binary64_21666` `sin-PI/2_binary64_21665` `sin-PI/3_binary64_21664` `sin-PI/4_binary64_21663` `sin-PI/6_binary64_21662` `sub-1-sin_binary64_21661` `sub-1-cos_binary64_21660` `-1-add-sin_binary64_21659` `-1-add-cos_binary64_21658` `1-sub-sin_binary64_21657` `1-sub-cos_binary64_21656` `cos-sin-sum_binary64_21655` `log-E_binary64_21651` `log-rec_binary64_21649` `pow-base-0_binary64_21645` `unpow1/3_binary64_21628` `exp-to-pow_binary64_21623` `pow-base-1_binary64_21621` `unpow0_binary64_21620` `unpow-1_binary64_21618` `exp-lft-sqr_binary64_21616` `exp-cbrt_binary64_21615` `div-exp_binary64_21612` `rec-exp_binary64_21611` `exp-diff_binary64_21609` `exp-neg_binary64_21608` `exp-sum_binary64_21607` `e-exp-1_binary64_21606` `exp-0_binary64_21603` `rem-log-exp_binary64_21602` `rem-exp-log_binary64_21601` `cube-neg_binary64_21588` `rem-3cbrt-rft_binary64_21587` `rem-3cbrt-lft_binary64_21586` `rem-cbrt-cube_binary64_21585` `rem-cube-cbrt_binary64_21584` `sqr-abs_binary64_21576` `sqr-neg_binary64_21575` `div-sub_binary64_21566` `neg-mul-1_binary64_21557` `neg-sub0_binary64_21556` `unsub-neg_binary64_21555` `sub-neg_binary64_21554` `mul-1-neg_binary64_21553` `remove-double-neg_binary64_21549` `sub0-neg_binary64_21548` `--rgt-identity_binary64_21547` `+-rgt-identity_binary64_21546` `+-lft-identity_binary64_21545` `mul0-rgt_binary64_21544` `mul0-lft_binary64_21543` `div0_binary64_21542` `*-inverses_binary64_21541` `+-inverses_binary64_21540` `lft-mult-inverse_binary64_21539` `rgt-mult-inverse_binary64_21538` `remove-double-div_binary64_21537` `difference-of-sqr--1_binary64_21532` `difference-of-sqr-1_binary64_21531` `difference-of-squares_binary64_21530` `cancel-sign-sub-inv_binary64_21527` `cancel-sign-sub_binary64_21526` `distribute-neg-frac_binary64_21525` `distribute-frac-neg_binary64_21524` `distribute-neg-out_binary64_21523` `distribute-neg-in_binary64_21522` `distribute-rgt-neg-out_binary64_21521` `distribute-lft-neg-out_binary64_21520` `distribute-rgt-neg-in_binary64_21519` `distribute-lft-neg-in_binary64_21518` `distribute-rgt-out--_binary64_21515` `distribute-lft-out--_binary64_21513` `associate--r-_binary64_21500` `associate--l-_binary64_21499` `associate--l+_binary64_21498` `associate--r+_binary64_21497` `associate-+l-_binary64_21496` `associate-+r-_binary64_21495`

Counts

109 → 81

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1554
1	238	1217
2	837	1217
3	1460	1215
4	2496	1215
5	3906	1215
6	5261	1215

prune72.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	1	3	4
Picked	1	0	1
Done	1	2	3
Total	81	8	89

Error

Counts

89 → 8

Compiler

Compiled 1054 to 752 computations (28.7% saved)

regimes429.0ms (9.8%)

Accuracy

Total 0.2b remaining (99.5%)

Threshold costs 0.2b (99.5%)

Compiler

Compiled 3831 to 3086 computations (19.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3× *-commutative_binary64_21492

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_21821 if-if-and_binary64_21820 if-if-or-not_binary64_21819 if-if-or_binary64_21818 if-not_binary64_21817 if-same_binary64_21816 if-false_binary64_21815 if-true_binary64_21814 tan-0_binary64_21690 cos-0_binary64_21689 sin-0_binary64_21688 unpow1_binary64_21619 e-exp-1_binary64_21606 1-exp_binary64_21605 exp-1-e_binary64_21604 exp-0_binary64_21603 sqr-abs_binary64_21576 sqr-neg_binary64_21575 neg-mul-1_binary64_21557 neg-sub0_binary64_21556 unsub-neg_binary64_21555 sub-neg_binary64_21554 mul-1-neg_binary64_21553 /-rgt-identity_binary64_21552 *-rgt-identity_binary64_21551 *-lft-identity_binary64_21550 remove-double-neg_binary64_21549 sub0-neg_binary64_21548 --rgt-identity_binary64_21547 +-rgt-identity_binary64_21546 +-lft-identity_binary64_21545 cancel-sign-sub-inv_binary64_21527 cancel-sign-sub_binary64_21526 distribute-neg-frac_binary64_21525 distribute-frac-neg_binary64_21524 distribute-neg-out_binary64_21523 distribute-neg-in_binary64_21522 distribute-rgt-neg-out_binary64_21521 distribute-lft-neg-out_binary64_21520 distribute-rgt-neg-in_binary64_21519 distribute-lft-neg-in_binary64_21518 +-commutative_binary64_21491

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	10	10

end0.0ms (0%)

sample1.3s (29.8%)

Algorithm

1×

intervals

Results

189.0ms	8000×	body	128	valid
4.0ms	174×	body	128	invalid

Compiler

Compiled 906 to 734 computations (19% saved)

Details

analyze209.0ms (4.8%)

sample14.0ms (0.3%)

simplify10.0ms (0.2%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite51.0ms (1.2%)

series185.0ms (4.2%)

simplify71.0ms (1.6%)

prune39.0ms (0.9%)

localize8.0ms (0.2%)

rewrite49.0ms (1.1%)

series188.0ms (4.3%)

simplify84.0ms (1.9%)

prune28.0ms (0.6%)

localize7.0ms (0.2%)

rewrite122.0ms (2.8%)

series544.0ms (12.4%)

simplify98.0ms (2.2%)

prune63.0ms (1.4%)

localize7.0ms (0.2%)

rewrite148.0ms (3.4%)

series527.0ms (12%)

simplify107.0ms (2.4%)

prune72.0ms (1.6%)

regimes429.0ms (9.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (29.8%)

Profiling