Details

analyze1.4s (13.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

340×	`associate-+l+_binary64_16720`
318×	`associate-+r+_binary64_16719`
246×	`+-commutative_binary64_16717`
65×	`*-commutative_binary64_16718`
41×	`distribute-rgt-out_binary64_16740`
22×	`associate-l_binary64_16728`
19×	`associate-r_binary64_16727`
9×	`distribute-lft-out_binary64_16738`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `log-pow_binary64_16876` `log-rec_binary64_16875` `log-div_binary64_16874` `log-prod_binary64_16873` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow3_binary64_16853` `unpow2_binary64_16852` `unpow1/2_binary64_16851` `pow-plus_binary64_16850` `exp-to-pow_binary64_16849` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `exp-prod_binary64_16839` `div-exp_binary64_16838` `rec-exp_binary64_16837` `prod-exp_binary64_16836` `exp-diff_binary64_16835` `exp-neg_binary64_16834` `exp-sum_binary64_16833` `e-exp-1_binary64_16832` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `cube-unmult_binary64_16824` `cube-mult_binary64_16817` `cube-div_binary64_16816` `cube-prod_binary64_16815` `cube-neg_binary64_16814` `rem-3cbrt-rft_binary64_16813` `rem-3cbrt-lft_binary64_16812` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `times-frac_binary64_16793` `div-sub_binary64_16792` `neg-mul-1_binary64_16783` `neg-sub0_binary64_16782` `unsub-neg_binary64_16781` `sub-neg_binary64_16780` `mul-1-neg_binary64_16779` `/-rgt-identity_binary64_16778` `-rgt-identity_binary64_16777` `-lft-identity_binary64_16776` `remove-double-neg_binary64_16775` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `-inverses_binary64_16767` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `pow-sqr_binary64_16760` `sqr-pow_binary64_16759` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `difference-of-squares_binary64_16756` `unswap-sqr_binary64_16755` `swap-sqr_binary64_16754` `cancel-sign-sub-inv_binary64_16753` `cancel-sign-sub_binary64_16752` `distribute-neg-frac_binary64_16751` `distribute-frac-neg_binary64_16750` `distribute-neg-out_binary64_16749` `distribute-neg-in_binary64_16748` `distribute-rgt-neg-out_binary64_16747` `distribute-lft-neg-out_binary64_16746` `distribute-rgt-neg-in_binary64_16745` `distribute-lft-neg-in_binary64_16744` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `distribute-rgt-out--_binary64_16741` `distribute-lft-out--_binary64_16739` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `count-2_binary64_16735` `associate-/l/_binary64_16734` `associate-/r/_binary64_16733` `associate-/l_binary64_16732` `associate-/r_binary64_16731` `associate-l/_binary64_16730` `associate-*r/_binary64_16729` `associate--r-_binary64_16726` `associate--l-_binary64_16725` `associate--l+_binary64_16724` `associate--r+_binary64_16723` `associate-+l-_binary64_16722` `associate-+r-_binary64_16721`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	352
1	210	304
2	527	304
3	824	304
4	861	304
5	863	304
6	863	304
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample39.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
9.0ms	116×	body	128	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

24×	`associate-+l+_binary64_16720`
22×	`associate-+r+_binary64_16719`
19×	`+-commutative_binary64_16717`
10×	`*-commutative_binary64_16718`
3×	`distribute-rgt-out_binary64_16740` `associate-l_binary64_16728` `associate-r_binary64_16727`
1×	`distribute-lft-out_binary64_16738`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `log-pow_binary64_16876` `log-rec_binary64_16875` `log-div_binary64_16874` `log-prod_binary64_16873` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow3_binary64_16853` `unpow2_binary64_16852` `unpow1/2_binary64_16851` `pow-plus_binary64_16850` `exp-to-pow_binary64_16849` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `exp-prod_binary64_16839` `div-exp_binary64_16838` `rec-exp_binary64_16837` `prod-exp_binary64_16836` `exp-diff_binary64_16835` `exp-neg_binary64_16834` `exp-sum_binary64_16833` `e-exp-1_binary64_16832` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `cube-unmult_binary64_16824` `cube-mult_binary64_16817` `cube-div_binary64_16816` `cube-prod_binary64_16815` `cube-neg_binary64_16814` `rem-3cbrt-rft_binary64_16813` `rem-3cbrt-lft_binary64_16812` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `times-frac_binary64_16793` `div-sub_binary64_16792` `neg-mul-1_binary64_16783` `neg-sub0_binary64_16782` `unsub-neg_binary64_16781` `sub-neg_binary64_16780` `mul-1-neg_binary64_16779` `/-rgt-identity_binary64_16778` `-rgt-identity_binary64_16777` `-lft-identity_binary64_16776` `remove-double-neg_binary64_16775` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `-inverses_binary64_16767` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `pow-sqr_binary64_16760` `sqr-pow_binary64_16759` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `difference-of-squares_binary64_16756` `unswap-sqr_binary64_16755` `swap-sqr_binary64_16754` `cancel-sign-sub-inv_binary64_16753` `cancel-sign-sub_binary64_16752` `distribute-neg-frac_binary64_16751` `distribute-frac-neg_binary64_16750` `distribute-neg-out_binary64_16749` `distribute-neg-in_binary64_16748` `distribute-rgt-neg-out_binary64_16747` `distribute-lft-neg-out_binary64_16746` `distribute-rgt-neg-in_binary64_16745` `distribute-lft-neg-in_binary64_16744` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `distribute-rgt-out--_binary64_16741` `distribute-lft-out--_binary64_16739` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `count-2_binary64_16735` `associate-/l/_binary64_16734` `associate-/r/_binary64_16733` `associate-/l_binary64_16732` `associate-/r_binary64_16731` `associate-l/_binary64_16730` `associate-*r/_binary64_16729` `associate--r-_binary64_16726` `associate--l-_binary64_16725` `associate--l+_binary64_16724` `associate--r+_binary64_16723` `associate-+l-_binary64_16722` `associate-+r-_binary64_16721`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	27	19
2	55	19
3	77	19
4	81	19
5	81	19
6	81	19

prune5.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 41 to 37 computations (9.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
0.0b	(+.f64 x (*.f64 y z))
5.6b	(.f64 (.f64 a z) b)

rewrite82.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_16826`
10×	`sum-log_binary64_16878`
9×	`pow1_binary64_16848` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
5×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
3×	`pow-prod-down_binary64_16858` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `associate-r_binary64_16727` `flip3-+_binary64_16790` `flip-+_binary64_16761` `+-commutative_binary64_16717`
2×	`associate-+l+_binary64_16720`
1×	`associate-l_binary64_16728` `*-commutative_binary64_16718`

Counts

4 → 56

Calls

4 calls:

10.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
6.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
6.0ms	(.f64 (.f64 a z) b)
3.0ms	(+.f64 x (*.f64 y z))

Compiler

Compiled 1330 to 230 computations (82.7% saved)

series1.1s (10.8%)

Error

0.0b

Counts

4 → 93

Calls

4 calls:

549.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
276.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
143.0ms	(.f64 (.f64 a z) b)
119.0ms	(+.f64 x (*.f64 y z))

Compiler

Compiled 3011 to 1784 computations (40.8% saved)

simplify98.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

891×	`distribute-rgt-in_binary64_16737`
850×	`distribute-lft-in_binary64_16736`
188×	`cancel-sign-sub-inv_binary64_16753`
170×	`associate-l_binary64_16728`
141×	`associate-r_binary64_16727`
131×	`sub-neg_binary64_16780`
130×	`distribute-rgt-neg-in_binary64_16745`
100×	`distribute-lft-neg-in_binary64_16744`
95×	`neg-mul-1_binary64_16783` `neg-sub0_binary64_16782`
80×	`*-commutative_binary64_16718`
55×	`unsub-neg_binary64_16781`
53×	`associate--l+_binary64_16724`
51×	`+-commutative_binary64_16717`
50×	`distribute-rgt-out_binary64_16740`
47×	`sqr-pow_binary64_16759`
42×	`associate-+l+_binary64_16720`
36×	`exp-prod_binary64_16839`
31×	`cube-prod_binary64_16815`
29×	`exp-sum_binary64_16833` `unswap-sqr_binary64_16755`
28×	`distribute-lft-neg-out_binary64_16746`
27×	`distribute-rgt-out--_binary64_16741` `distribute-lft-out_binary64_16738`
26×	`distribute-neg-in_binary64_16748` `associate-+r+_binary64_16719`
25×	`log-prod_binary64_16873`
17×	`swap-sqr_binary64_16754`
14×	`unpow3_binary64_16853`
13×	`prod-exp_binary64_16836` `distribute-lft-out--_binary64_16739`
10×	`cube-mult_binary64_16817`
8×	`*-rgt-identity_binary64_16777`
7×	`*-lft-identity_binary64_16776` `associate--r+_binary64_16723`
3×	`pow-sqr_binary64_16760` `difference-of-squares_binary64_16756` `distribute-rgt-neg-out_binary64_16747` `associate-+l-_binary64_16722` `associate-+r-_binary64_16721`
1×	`unpow1/2_binary64_16851` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `cube-unmult_binary64_16824` `associate-/l*_binary64_16732`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `log-pow_binary64_16876` `log-rec_binary64_16875` `log-div_binary64_16874` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow2_binary64_16852` `pow-plus_binary64_16850` `exp-to-pow_binary64_16849` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `div-exp_binary64_16838` `rec-exp_binary64_16837` `exp-diff_binary64_16835` `exp-neg_binary64_16834` `e-exp-1_binary64_16832` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `cube-div_binary64_16816` `cube-neg_binary64_16814` `rem-3cbrt-rft_binary64_16813` `rem-3cbrt-lft_binary64_16812` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `times-frac_binary64_16793` `div-sub_binary64_16792` `mul-1-neg_binary64_16779` `/-rgt-identity_binary64_16778` `remove-double-neg_binary64_16775` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `-inverses_binary64_16767` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-neg-frac_binary64_16751` `distribute-frac-neg_binary64_16750` `distribute-neg-out_binary64_16749` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `count-2_binary64_16735` `associate-/l/_binary64_16734` `associate-/r/_binary64_16733` `associate-/r_binary64_16731` `associate-l/_binary64_16730` `associate-r/_binary64_16729` `associate--r-_binary64_16726` `associate--l-_binary64_16725`

Counts

149 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1903
1	367	1849
2	1383	1837
3	4798	1837
4	5001	1837

prune78.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	96	3	99

Error

0.0b

Counts

99 → 3

Compiler

Compiled 1645 to 191 computations (88.4% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 t (*.f64 z b))
0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
3.0b	(.f64 a (+.f64 t (.f64 z b)))

rewrite77.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-log-exp_binary64_16826`
8×	`add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
6×	`pow1_binary64_16848` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823` `add-cube-cbrt_binary64_16822`
5×	`sum-log_binary64_16878`
4×	`flip3-+_binary64_16790` `flip-+_binary64_16761`
3×	`associate-l_binary64_16728` `associate-r_binary64_16727` `associate-+r+_binary64_16719` `+-commutative_binary64_16717`
2×	`distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `associate-*r/_binary64_16729`
1×	`pow-prod-down_binary64_16858` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `unswap-sqr_binary64_16755` `*-commutative_binary64_16718` `distribute-lft-out_binary64_16738`

Counts

4 → 60

Calls

4 calls:

6.0ms	(.f64 a (+.f64 t (.f64 z b)))
6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
5.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
3.0ms	(+.f64 t (*.f64 z b))

Compiler

Compiled 1337 to 272 computations (79.7% saved)

series1.4s (13%)

Error

0.0b

Counts

4 → 105

Calls

4 calls:

544.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b)))))
443.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
223.0ms	(.f64 a (+.f64 t (.f64 z b)))
99.0ms	(+.f64 t (*.f64 z b))

Compiler

Compiled 3156 to 1909 computations (39.5% saved)

simplify130.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

736×	`distribute-rgt-in_binary64_16737`
693×	`distribute-lft-in_binary64_16736`
209×	`associate-+l+_binary64_16720`
190×	`associate-+r+_binary64_16719`
182×	`cancel-sign-sub-inv_binary64_16753`
123×	`associate-l_binary64_16728`
114×	`associate-r_binary64_16727`
107×	`distribute-rgt-neg-in_binary64_16745`
88×	`*-commutative_binary64_16718`
87×	`associate--r+_binary64_16723`
85×	`distribute-lft-neg-in_binary64_16744`
62×	`associate--l+_binary64_16724`
59×	`sub-neg_binary64_16780`
56×	`distribute-neg-in_binary64_16748`
47×	`exp-prod_binary64_16839`
46×	`+-commutative_binary64_16717`
40×	`exp-sum_binary64_16833` `sqr-pow_binary64_16759`
34×	`neg-mul-1_binary64_16783` `neg-sub0_binary64_16782` `distribute-rgt-out_binary64_16740`
30×	`distribute-lft-neg-out_binary64_16746`
23×	`associate-+r-_binary64_16721`
21×	`distribute-rgt-out--_binary64_16741`
19×	`associate-+l-_binary64_16722`
16×	`distribute-lft-out_binary64_16738`
14×	`*-lft-identity_binary64_16776` `distribute-rgt-neg-out_binary64_16747`
13×	`*-rgt-identity_binary64_16777`
12×	`cube-prod_binary64_16815` `unswap-sqr_binary64_16755`
11×	`unpow3_binary64_16853`
9×	`log-prod_binary64_16873` `cube-mult_binary64_16817`
8×	`swap-sqr_binary64_16754`
7×	`unsub-neg_binary64_16781`
6×	`prod-exp_binary64_16836` `distribute-lft-out--_binary64_16739`
3×	`pow-sqr_binary64_16760` `difference-of-squares_binary64_16756`
2×	`associate--l-_binary64_16725`
1×	`unpow1/2_binary64_16851` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `cube-unmult_binary64_16824`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `log-pow_binary64_16876` `log-rec_binary64_16875` `log-div_binary64_16874` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `unpow2_binary64_16852` `pow-plus_binary64_16850` `exp-to-pow_binary64_16849` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `div-exp_binary64_16838` `rec-exp_binary64_16837` `exp-diff_binary64_16835` `exp-neg_binary64_16834` `e-exp-1_binary64_16832` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `cube-div_binary64_16816` `cube-neg_binary64_16814` `rem-3cbrt-rft_binary64_16813` `rem-3cbrt-lft_binary64_16812` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `rem-sqrt-square_binary64_16800` `rem-square-sqrt_binary64_16799` `times-frac_binary64_16793` `div-sub_binary64_16792` `mul-1-neg_binary64_16779` `/-rgt-identity_binary64_16778` `remove-double-neg_binary64_16775` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `-inverses_binary64_16767` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-neg-frac_binary64_16751` `distribute-frac-neg_binary64_16750` `distribute-neg-out_binary64_16749` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `count-2_binary64_16735` `associate-/l/_binary64_16734` `associate-/r/_binary64_16733` `associate-/l_binary64_16732` `associate-/r_binary64_16731` `associate-l/_binary64_16730` `associate-*r/_binary64_16729` `associate--r-_binary64_16726`

Counts

165 → 86

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	120	2345
1	355	2180
2	1211	2180
3	4980	2180
4	4999	2180
5	5016	2180

prune61.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Error

0.0b

Counts

89 → 5

Compiler

Compiled 1401 to 190 computations (86.4% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
1.5b	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
1.8b	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))

rewrite106.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`pow1_binary64_16848` `add-exp-log_binary64_16825`
13×	`add-sqr-sqrt_binary64_16809`
11×	`add-cbrt-cube_binary64_16823`
10×	`cbrt-prod_binary64_16818`
9×	`pow-prod-down_binary64_16858` `prod-exp_binary64_16836` `add-cube-cbrt_binary64_16822` `cbrt-unprod_binary64_16820` `*-un-lft-identity_binary64_16787`
7×	`associate-r_binary64_16727`
4×	`add-log-exp_binary64_16826` `associate-l/_binary64_16730` `associate-l*_binary64_16728`
2×	`unswap-sqr_binary64_16755` `flip3-+_binary64_16790` `flip-+_binary64_16761` `-commutative_binary64_16718` `associate-r/_binary64_16729` `pow1/3_binary64_16869`

Counts

4 → 70

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
8.0ms	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

Compiler

Compiled 1914 to 385 computations (79.9% saved)

series1.1s (10.9%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

624.0ms	(.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a))
255.0ms	(.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (+.f64 t (.f64 z b)) (cbrt.f64 a)))
117.0ms	(cbrt.f64 a)
111.0ms	(cbrt.f64 a)

Compiler

Compiled 2338 to 1502 computations (35.8% saved)

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

597×	`distribute-lft-in_binary64_16736`
596×	`distribute-rgt-in_binary64_16737`
373×	`*-commutative_binary64_16718`
325×	`unswap-sqr_binary64_16755`
290×	`exp-prod_binary64_16839`
256×	`distribute-rgt-neg-out_binary64_16747`
242×	`distribute-lft-neg-out_binary64_16746`
198×	`associate-l_binary64_16728`
177×	`associate-r_binary64_16727`
168×	`log-prod_binary64_16873`
113×	`sqr-pow_binary64_16759`
106×	`exp-sum_binary64_16833`
105×	`cube-prod_binary64_16815`
59×	`swap-sqr_binary64_16754`
56×	`neg-sub0_binary64_16782`
50×	`neg-mul-1_binary64_16783`
46×	`distribute-neg-in_binary64_16748`
45×	`distribute-rgt-neg-in_binary64_16745`
44×	`*-rgt-identity_binary64_16777`
43×	`*-lft-identity_binary64_16776`
42×	`cancel-sign-sub-inv_binary64_16753`
39×	`distribute-lft-neg-in_binary64_16744`
29×	`exp-diff_binary64_16835`
27×	`unpow3_binary64_16853` `associate-+r+_binary64_16719`
26×	`associate-+l+_binary64_16720`
24×	`sub-neg_binary64_16780`
15×	`pow-sqr_binary64_16760`
14×	`+-commutative_binary64_16717`
12×	`pow-plus_binary64_16850`
11×	`log-pow_binary64_16876` `cube-mult_binary64_16817`
10×	`cube-unmult_binary64_16824` `unsub-neg_binary64_16781`
7×	`remove-double-neg_binary64_16775`
6×	`cube-neg_binary64_16814` `sqr-neg_binary64_16801` `associate-/l*_binary64_16732`
5×	`exp-neg_binary64_16834` `distribute-lft-out_binary64_16738`
4×	`unpow1/2_binary64_16851` `rem-sqrt-square_binary64_16800` `mul-1-neg_binary64_16779`
3×	`+-rgt-identity_binary64_16772` `distribute-rgt-out_binary64_16740` `associate-+r-_binary64_16721`
2×	`unpow1/3_binary64_16854` `div-sub_binary64_16792` `sub0-neg_binary64_16774` `difference-of-squares_binary64_16756` `distribute-frac-neg_binary64_16750` `count-2_binary64_16735` `associate-+l-_binary64_16722`
1×	`unpow2_binary64_16852` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `rem-3cbrt-lft_binary64_16812` `rem-cube-cbrt_binary64_16810`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `log-rec_binary64_16875` `log-div_binary64_16874` `pow-base-0_binary64_16871` `exp-to-pow_binary64_16849` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow1_binary64_16845` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `div-exp_binary64_16838` `rec-exp_binary64_16837` `prod-exp_binary64_16836` `e-exp-1_binary64_16832` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `cube-div_binary64_16816` `rem-3cbrt-rft_binary64_16813` `rem-cbrt-cube_binary64_16811` `sqr-abs_binary64_16802` `rem-square-sqrt_binary64_16799` `times-frac_binary64_16793` `/-rgt-identity_binary64_16778` `--rgt-identity_binary64_16773` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `-inverses_binary64_16767` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-neg-frac_binary64_16751` `distribute-neg-out_binary64_16749` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `distribute-rgt-out--_binary64_16741` `distribute-lft-out--_binary64_16739` `associate-/l/_binary64_16734` `associate-/r/_binary64_16733` `associate-/r_binary64_16731` `associate-l/_binary64_16730` `associate-r/_binary64_16729` `associate--r-_binary64_16726` `associate--l-_binary64_16725` `associate--l+_binary64_16724` `associate--r+_binary64_16723`

Counts

118 → 85

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	104	1686
1	261	1231
2	1050	1231
3	3029	1231
4	4744	1231
5	4941	1231

prune74.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	85	5	90

Error

0.0b

Counts

90 → 5

Compiler

Compiled 1781 to 310 computations (82.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(cbrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))
3.0b	(.f64 a (+.f64 t (.f64 z b)))
3.0b	(.f64 a (+.f64 t (.f64 z b)))
3.0b	(.f64 a (+.f64 t (.f64 z b)))

rewrite153.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_16809`
11×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
10×	`pow1_binary64_16848` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
9×	`associate-l_binary64_16728` `associate-r_binary64_16727`
6×	`associate-*r/_binary64_16729`
4×	`add-log-exp_binary64_16826` `flip3-+_binary64_16790` `flip-+_binary64_16761`
3×	`pow-prod-down_binary64_16858` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `unswap-sqr_binary64_16755` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `*-commutative_binary64_16718` `cbrt-prod_binary64_16818`
2×	`cbrt-div_binary64_16819`
1×	`pow1/3_binary64_16869`

Counts

4 → 79

Calls

4 calls:

7.0ms	(.f64 a (+.f64 t (.f64 z b)))
7.0ms	(.f64 a (+.f64 t (.f64 z b)))
6.0ms	(.f64 a (+.f64 t (.f64 z b)))
6.0ms	(cbrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))

Compiler

Compiled 3844 to 433 computations (88.7% saved)

series1.8s (17.4%)

Error

0.0b

Counts

4 → 94

Calls

4 calls:

946.0ms	(cbrt.f64 (+.f64 (.f64 a (+.f64 t (.f64 z b))) (*.f64 z y)))
261.0ms	(.f64 a (+.f64 t (.f64 z b)))
251.0ms	(.f64 a (+.f64 t (.f64 z b)))
248.0ms	(.f64 a (+.f64 t (.f64 z b)))

Compiler

Compiled 12207 to 4854 computations (60.2% saved)

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

393×	`distribute-rgt-in_binary64_16737`
291×	`associate-r_binary64_16727`
239×	`associate-l_binary64_16728`
203×	`times-frac_binary64_16793`
202×	`*-commutative_binary64_16718`
200×	`cancel-sign-sub-inv_binary64_16753`
187×	`unswap-sqr_binary64_16755`
178×	`associate-/l*_binary64_16732`
140×	`associate-/r*_binary64_16731`
120×	`sqr-pow_binary64_16759`
104×	`distribute-rgt-neg-in_binary64_16745`
96×	`sub-neg_binary64_16780`
93×	`distribute-lft-neg-in_binary64_16744`
76×	`+-commutative_binary64_16717`
68×	`associate-*r/_binary64_16729`
66×	`associate-*l/_binary64_16730`
59×	`distribute-lft-in_binary64_16736`
56×	`exp-sum_binary64_16833`
47×	`neg-mul-1_binary64_16783` `neg-sub0_binary64_16782`
46×	`exp-prod_binary64_16839`
37×	`log-prod_binary64_16873`
32×	`distribute-neg-in_binary64_16748`
31×	`unsub-neg_binary64_16781`
30×	`distribute-rgt-out_binary64_16740`
28×	`*-lft-identity_binary64_16776`
27×	`distribute-lft-out_binary64_16738` `associate-+l+_binary64_16720`
24×	`/-rgt-identity_binary64_16778`
23×	`distribute-neg-frac_binary64_16751` `distribute-lft-neg-out_binary64_16746`
22×	`unpow1/3_binary64_16854` `associate-+r+_binary64_16719`
21×	`*-rgt-identity_binary64_16777`
19×	`associate-/r/_binary64_16733`
18×	`cube-prod_binary64_16815`
13×	`associate--l+_binary64_16724`
12×	`log-div_binary64_16874` `pow-sqr_binary64_16760` `distribute-rgt-neg-out_binary64_16747` `associate--r+_binary64_16723`
11×	`swap-sqr_binary64_16754` `distribute-rgt-out--_binary64_16741`
10×	`exp-diff_binary64_16835` `div-sub_binary64_16792` `associate--r-_binary64_16726`
9×	`unpow3_binary64_16853`
8×	`unpow2_binary64_16852` `unpow1/2_binary64_16851` `unpow1_binary64_16845`
7×	`cube-mult_binary64_16817` `distribute-neg-out_binary64_16749`
6×	`log-pow_binary64_16876` `distribute-lft-out--_binary64_16739`
5×	`log-rec_binary64_16875` `remove-double-neg_binary64_16775`
2×	`cube-unmult_binary64_16824` `rem-sqrt-square_binary64_16800` `difference-of-squares_binary64_16756` `associate-/l/_binary64_16734`
1×	`exp-to-pow_binary64_16849` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `rem-exp-log_binary64_16827` `rem-3cbrt-lft_binary64_16812` `associate-+l-_binary64_16722` `associate-+r-_binary64_16721`
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_17050` `erf-erfc_binary64_17049` `erf-odd_binary64_17048` `if-if-and-not_binary64_17047` `if-if-and_binary64_17046` `if-if-or-not_binary64_17045` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `not-gte_binary64_17039` `not-lte_binary64_17038` `not-gt_binary64_17037` `not-lt_binary64_17036` `gte-same_binary64_17035` `lte-same_binary64_17034` `gt-same_binary64_17033` `lt-same_binary64_17032` `sinh---cosh_binary64_16979` `sinh-+-cosh_binary64_16978` `sinh-cosh_binary64_16977` `tanh-def-c_binary64_16976` `tanh-def-b_binary64_16975` `tanh-def-a_binary64_16974` `cosh-def_binary64_16973` `sinh-def_binary64_16972` `tan-neg_binary64_16919` `cos-neg_binary64_16918` `sin-neg_binary64_16917` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `hang-m-tan_binary64_16913` `hang-p-tan_binary64_16912` `hang-m0-tan_binary64_16911` `hang-p0-tan_binary64_16910` `hang-0m-tan_binary64_16909` `hang-0p-tan_binary64_16908` `tan-+PI/2_binary64_16907` `tan-+PI_binary64_16906` `tan-PI_binary64_16905` `tan-PI/3_binary64_16904` `tan-PI/4_binary64_16903` `tan-PI/6_binary64_16902` `cos-+PI/2_binary64_16901` `cos-+PI_binary64_16900` `cos-PI_binary64_16899` `cos-PI/2_binary64_16898` `cos-PI/3_binary64_16897` `cos-PI/4_binary64_16896` `cos-PI/6_binary64_16895` `sin-+PI/2_binary64_16894` `sin-+PI_binary64_16893` `sin-PI_binary64_16892` `sin-PI/2_binary64_16891` `sin-PI/3_binary64_16890` `sin-PI/4_binary64_16889` `sin-PI/6_binary64_16888` `sub-1-sin_binary64_16887` `sub-1-cos_binary64_16886` `-1-add-sin_binary64_16885` `-1-add-cos_binary64_16884` `1-sub-sin_binary64_16883` `1-sub-cos_binary64_16882` `cos-sin-sum_binary64_16881` `log-E_binary64_16877` `pow-base-0_binary64_16871` `pow-plus_binary64_16850` `pow-base-1_binary64_16847` `unpow0_binary64_16846` `unpow-1_binary64_16844` `exp-lft-cube_binary64_16843` `exp-lft-sqr_binary64_16842` `exp-cbrt_binary64_16841` `exp-sqrt_binary64_16840` `div-exp_binary64_16838` `rec-exp_binary64_16837` `prod-exp_binary64_16836` `exp-neg_binary64_16834` `e-exp-1_binary64_16832` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `cube-div_binary64_16816` `cube-neg_binary64_16814` `rem-3cbrt-rft_binary64_16813` `rem-cbrt-cube_binary64_16811` `rem-cube-cbrt_binary64_16810` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `rem-square-sqrt_binary64_16799` `mul-1-neg_binary64_16779` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `mul0-rgt_binary64_16770` `mul0-lft_binary64_16769` `div0_binary64_16768` `*-inverses_binary64_16767` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `remove-double-div_binary64_16763` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-frac-neg_binary64_16750` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `count-2_binary64_16735` `associate--l-_binary64_16725`

Counts

173 → 85

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	3254
1	887	3145
2	3293	2957
3	5141	2957

prune127.0ms (1.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	84	6	90

Error

0.0b

Counts

90 → 6

Compiler

Compiled 3952 to 552 computations (86% saved)

regimes607.0ms (5.8%)

Accuracy

Total 0.3b remaining (96.1%)

Threshold costs 0.3b (96.1%)

Compiler

Compiled 4886 to 3822 computations (21.8% saved)

bsearch65.0ms (0.6%)

Steps

Iters	Range		Point
7	1.2985062854498244e+33	1.779973767772274e+35	2.940890131049318e+33
8	-2.133287895229999e+82	-5.19647277584764e+77	-1.1917084471951487e+81

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64_16718` `+-commutative_binary64_16717`
1×	`if-if-or-not_binary64_17045`
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_17047` `if-if-and_binary64_17046` `if-if-or_binary64_17044` `if-not_binary64_17043` `if-same_binary64_17042` `if-false_binary64_17041` `if-true_binary64_17040` `tan-0_binary64_16916` `cos-0_binary64_16915` `sin-0_binary64_16914` `unpow1_binary64_16845` `e-exp-1_binary64_16832` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `exp-0_binary64_16829` `sqr-abs_binary64_16802` `sqr-neg_binary64_16801` `neg-mul-1_binary64_16783` `neg-sub0_binary64_16782` `unsub-neg_binary64_16781` `sub-neg_binary64_16780` `mul-1-neg_binary64_16779` `/-rgt-identity_binary64_16778` `-rgt-identity_binary64_16777` `-lft-identity_binary64_16776` `remove-double-neg_binary64_16775` `sub0-neg_binary64_16774` `--rgt-identity_binary64_16773` `+-rgt-identity_binary64_16772` `+-lft-identity_binary64_16771` `cancel-sign-sub-inv_binary64_16753` `cancel-sign-sub_binary64_16752` `distribute-neg-frac_binary64_16751` `distribute-frac-neg_binary64_16750` `distribute-neg-out_binary64_16749` `distribute-neg-in_binary64_16748` `distribute-rgt-neg-out_binary64_16747` `distribute-lft-neg-out_binary64_16746` `distribute-rgt-neg-in_binary64_16745` `distribute-lft-neg-in_binary64_16744`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	55
1	41	55
2	41	55

end0.0ms (0%)

sample1.7s (15.7%)

Algorithm

1×

intervals

Results

345.0ms	8000×	body	128	valid
170.0ms	3925×	body	128	invalid

Compiler

Compiled 792 to 601 computations (24.1% saved)

Details

analyze1.4s (13.3%)

sample39.0ms (0.4%)

simplify10.0ms (0.1%)

prune5.0ms (0%)

localize11.0ms (0.1%)

rewrite82.0ms (0.8%)

series1.1s (10.8%)

simplify98.0ms (0.9%)

prune78.0ms (0.7%)

localize10.0ms (0.1%)

rewrite77.0ms (0.7%)

series1.4s (13%)

simplify130.0ms (1.2%)

prune61.0ms (0.6%)

localize17.0ms (0.2%)

rewrite106.0ms (1%)

series1.1s (10.9%)

simplify113.0ms (1.1%)

prune74.0ms (0.7%)

localize15.0ms (0.1%)

rewrite153.0ms (1.4%)

series1.8s (17.4%)

simplify110.0ms (1%)

prune127.0ms (1.2%)

regimes607.0ms (5.8%)

bsearch65.0ms (0.6%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (15.7%)

Profiling