Details

analyze454.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

30×	`+-commutative_binary64_16717`
16×	`*-commutative_binary64_16718`
14×	`associate-+l+_binary64_16720` `associate-+r+_binary64_16719`
8×	`distribute-rgt-out_binary64_16740`
6×	`distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
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-lft-out_binary64_16738` `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-l_binary64_16728` `associate-r*_binary64_16727` `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	20	52
1	45	52
2	77	52
3	94	52
4	98	52
5	87	52
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	244×	body	128	valid
3.0ms	22×	body	128	invalid
1.0ms	7×	body	1024	valid
0.0ms	3×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64_16717`
5×	`*-commutative_binary64_16718`
3×	`associate-+l+_binary64_16720` `associate-+r+_binary64_16719`
2×	`distribute-rgt-out_binary64_16740` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
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-lft-out_binary64_16738` `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-l_binary64_16728` `associate-r*_binary64_16727` `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 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	19	13
2	25	13
3	31	13
4	33	13
5	31	13

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
0.0b	(*.f64 x (+.f64 y z))

rewrite51.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
4×	`pow1_binary64_16848` `add-exp-log_binary64_16825` `add-log-exp_binary64_16826` `add-cbrt-cube_binary64_16823` `add-cube-cbrt_binary64_16822` `associate-r_binary64_16727`
3×	`associate-l_binary64_16728`
2×	`distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `flip3-+_binary64_16790` `associate-*r/_binary64_16729` `flip-+_binary64_16761` `associate-+l+_binary64_16720`
1×	`pow-prod-down_binary64_16858` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `unswap-sqr_binary64_16755` `distribute-lft-out_binary64_16738` `*-commutative_binary64_16718` `sum-log_binary64_16878` `+-commutative_binary64_16717`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
6.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 583 to 248 computations (57.5% saved)

series384.0ms (4.8%)

Error

0.1b

Counts

2 → 33

Calls

2 calls:

236.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
126.0ms	(*.f64 x (+.f64 y z))

Compiler

Compiled 738 to 501 computations (32.1% saved)

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

490×	`associate-l_binary64_16728`
465×	`distribute-rgt-in_binary64_16737`
453×	`distribute-lft-in_binary64_16736`
379×	`associate-r_binary64_16727`
321×	`cancel-sign-sub-inv_binary64_16753`
304×	`sub-neg_binary64_16780`
271×	`distribute-rgt-neg-in_binary64_16745`
242×	`distribute-rgt-out_binary64_16740`
207×	`+-commutative_binary64_16717`
186×	`unswap-sqr_binary64_16755`
181×	`neg-mul-1_binary64_16783`
170×	`distribute-neg-in_binary64_16748`
138×	`*-commutative_binary64_16718`
124×	`distribute-lft-out_binary64_16738`
110×	`associate--r+_binary64_16723`
95×	`distribute-lft-neg-in_binary64_16744`
89×	`sqr-pow_binary64_16759`
85×	`unsub-neg_binary64_16781`
72×	`associate-+l+_binary64_16720`
70×	`neg-sub0_binary64_16782`
66×	`distribute-lft-neg-out_binary64_16746`
65×	`associate-+r+_binary64_16719`
55×	`associate--l+_binary64_16724`
50×	`associate-+l-_binary64_16722`
49×	`rem-sqrt-square_binary64_16800`
45×	`distribute-rgt-out--_binary64_16741`
37×	`*-lft-identity_binary64_16776`
36×	`exp-prod_binary64_16839`
35×	`associate-+r-_binary64_16721`
34×	`*-rgt-identity_binary64_16777`
25×	`exp-sum_binary64_16833` `sub0-neg_binary64_16774`
19×	`+-rgt-identity_binary64_16772` `distribute-rgt-neg-out_binary64_16747`
18×	`pow-sqr_binary64_16760`
14×	`unpow3_binary64_16853` `cube-prod_binary64_16815` `swap-sqr_binary64_16754`
13×	`cube-unmult_binary64_16824`
12×	`distribute-lft-out--_binary64_16739`
11×	`log-prod_binary64_16873`
8×	`cancel-sign-sub_binary64_16752` `distribute-neg-out_binary64_16749`
7×	`unpow1/2_binary64_16851`
6×	`difference-of-squares_binary64_16756` `associate--r-_binary64_16726`
5×	`div-sub_binary64_16792`
4×	`pow-plus_binary64_16850` `exp-diff_binary64_16835` `cube-mult_binary64_16817`
3×	`prod-exp_binary64_16836` `associate-/l*_binary64_16732`
1×	`1-exp_binary64_16831` `exp-1-e_binary64_16830` `cube-neg_binary64_16814` `remove-double-neg_binary64_16775` `count-2_binary64_16735` `associate-/l/_binary64_16734` `associate-*r/_binary64_16729`
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` `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-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` `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-square-sqrt_binary64_16799` `times-frac_binary64_16793` `mul-1-neg_binary64_16779` `/-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` `distribute-neg-frac_binary64_16751` `distribute-frac-neg_binary64_16750` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `associate-/r/_binary64_16733` `associate-/r_binary64_16731` `associate-*l/_binary64_16730` `associate--l-_binary64_16725`

Counts

69 → 46

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	78	746
1	224	719
2	732	713
3	2438	713
4	3888	713
5	4890	713
6	5032	713

prune44.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	43	4	47

Error

0.0b

Counts

47 → 4

Compiler

Compiled 652 to 287 computations (56% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
0.0b	(*.f64 z (+.f64 x 5))

rewrite51.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 36

Calls

2 calls:

6.0ms	(*.f64 z (+.f64 x 5))
4.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))

Compiler

Compiled 583 to 317 computations (45.6% saved)

series303.0ms (3.8%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

207.0ms	(+.f64 (.f64 y x) (.f64 z (+.f64 x 5)))
82.0ms	(*.f64 z (+.f64 x 5))

Compiler

Compiled 597 to 408 computations (31.7% saved)

simplify121.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

521×	`associate-l_binary64_16728`
507×	`distribute-rgt-in_binary64_16737`
496×	`distribute-lft-in_binary64_16736`
400×	`associate-r_binary64_16727`
305×	`sub-neg_binary64_16780`
287×	`cancel-sign-sub-inv_binary64_16753`
285×	`distribute-rgt-out_binary64_16740`
242×	`unswap-sqr_binary64_16755`
225×	`+-commutative_binary64_16717`
149×	`distribute-rgt-neg-in_binary64_16745`
137×	`associate--r+_binary64_16723`
133×	`unsub-neg_binary64_16781`
132×	`distribute-lft-out_binary64_16738`
123×	`*-commutative_binary64_16718`
115×	`distribute-lft-neg-in_binary64_16744`
108×	`distribute-neg-in_binary64_16748`
91×	`associate--l+_binary64_16724`
90×	`sqr-pow_binary64_16759`
84×	`associate-+l+_binary64_16720`
81×	`neg-sub0_binary64_16782`
78×	`neg-mul-1_binary64_16783`
71×	`associate-+r+_binary64_16719`
52×	`distribute-rgt-out--_binary64_16741`
50×	`distribute-lft-neg-out_binary64_16746`
43×	`associate-+l-_binary64_16722`
38×	`distribute-rgt-neg-out_binary64_16747`
36×	`exp-prod_binary64_16839`
33×	`*-lft-identity_binary64_16776`
32×	`associate-+r-_binary64_16721`
31×	`*-rgt-identity_binary64_16777`
22×	`pow-sqr_binary64_16760`
19×	`sub0-neg_binary64_16774`
18×	`exp-sum_binary64_16833`
17×	`cube-prod_binary64_16815`
16×	`+-rgt-identity_binary64_16772`
14×	`swap-sqr_binary64_16754`
13×	`distribute-lft-out--_binary64_16739`
12×	`unpow3_binary64_16853`
11×	`log-prod_binary64_16873`
7×	`unpow1/2_binary64_16851` `cube-unmult_binary64_16824`
6×	`pow-plus_binary64_16850`
4×	`cube-mult_binary64_16817` `difference-of-squares_binary64_16756`
3×	`prod-exp_binary64_16836` `associate-/l*_binary64_16732`
2×	`rem-sqrt-square_binary64_16800` `associate-/l/_binary64_16734` `associate-*r/_binary64_16729` `associate--r-_binary64_16726`
1×	`exp-diff_binary64_16835` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `remove-double-neg_binary64_16775` `count-2_binary64_16735`
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` `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-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-square-sqrt_binary64_16799` `times-frac_binary64_16793` `div-sub_binary64_16792` `mul-1-neg_binary64_16779` `/-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-frac-neg_binary64_16750` `distribute-neg-out_binary64_16749` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `associate-/r/_binary64_16733` `associate-/r_binary64_16731` `associate-*l/_binary64_16730` `associate--l-_binary64_16725`

Counts

63 → 39

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	707
1	217	680
2	746	680
3	2579	680
4	4146	680
5	4991	680
6	4999	680
7	4956	680

prune37.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	39	4	43

Error

0.0b

Counts

43 → 4

Compiler

Compiled 578 to 313 computations (45.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y x) (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))))
0.0b	(+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))
3.1b	(*.f64 z (+.f64 (pow.f64 x 3) 125))
13.0b	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))

rewrite192.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-exp-log_binary64_16825` `add-log-exp_binary64_16826` `add-cbrt-cube_binary64_16823`
10×	`add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
8×	`add-cube-cbrt_binary64_16822`
6×	`pow1_binary64_16848`
5×	`flip3-+_binary64_16790` `flip-+_binary64_16761`
4×	`associate-r/_binary64_16729` `associate-r*_binary64_16727`
3×	`times-frac_binary64_16793` `associate-/r_binary64_16731` `associate-l*_binary64_16728` `sum-log_binary64_16878`
2×	`prod-exp_binary64_16836` `div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `cbrt-unprod_binary64_16820` `associate-/l/_binary64_16734` `associate-/r/_binary64_16733` `associate-+r+_binary64_16719` `+-commutative_binary64_16717`
1×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `div-inv_binary64_16784` `associate-/l_binary64_16732` `pow-prod-down_binary64_16858` `unswap-sqr_binary64_16755` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736` `distribute-lft-out_binary64_16738` `-commutative_binary64_16718` `diff-log_binary64_16879` `associate-+r-_binary64_16721` `sub-neg_binary64_16780` `cancel-sign-sub-inv_binary64_16753`

Counts

4 → 74

Calls

4 calls:

19.0ms	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))
13.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))))
10.0ms	(*.f64 z (+.f64 (pow.f64 x 3) 125))
8.0ms	(+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))

Compiler

Compiled 2669 to 1733 computations (35.1% saved)

series1.6s (19.5%)

Error

Counts

4 → 45

Calls

4 calls:

889.0ms	(+.f64 (.f64 y x) (/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))))
329.0ms	(/.f64 (.f64 z (+.f64 (pow.f64 x 3) 125)) (+.f64 (.f64 x x) (-.f64 (.f64 5 5) (.f64 x 5))))
188.0ms	(*.f64 z (+.f64 (pow.f64 x 3) 125))
99.0ms	(+.f64 (.f64 x x) (-.f64 (.f64 5 5) (*.f64 x 5)))

Compiler

Compiled 2180 to 1651 computations (24.3% saved)

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Rules

661×	`distribute-rgt-in_binary64_16737`
630×	`distribute-lft-in_binary64_16736`
589×	`times-frac_binary64_16793`
132×	`associate-l_binary64_16728`
127×	`cancel-sign-sub-inv_binary64_16753`
117×	`associate-r_binary64_16727`
85×	`associate-/l*_binary64_16732`
75×	`*-commutative_binary64_16718`
69×	`distribute-rgt-neg-in_binary64_16745`
62×	`sub-neg_binary64_16780`
58×	`unswap-sqr_binary64_16755` `distribute-lft-neg-in_binary64_16744`
48×	`associate-*l/_binary64_16730`
46×	`div-sub_binary64_16792` `sqr-pow_binary64_16759`
44×	`+-commutative_binary64_16717`
41×	`associate-*r/_binary64_16729`
37×	`distribute-neg-frac_binary64_16751`
36×	`exp-prod_binary64_16839`
32×	`distribute-lft-neg-out_binary64_16746`
31×	`distribute-neg-in_binary64_16748`
29×	`distribute-rgt-out_binary64_16740`
27×	`neg-mul-1_binary64_16783` `neg-sub0_binary64_16782`
25×	`*-rgt-identity_binary64_16777`
24×	`associate-/l/_binary64_16734`
21×	`distribute-rgt-neg-out_binary64_16747`
19×	`log-div_binary64_16874` `cube-div_binary64_16816`
18×	`distribute-lft-out_binary64_16738` `associate-/r*_binary64_16731`
17×	`*-lft-identity_binary64_16776` `distribute-rgt-out--_binary64_16741`
13×	`exp-sum_binary64_16833` `associate-/r/_binary64_16733`
12×	`unpow3_binary64_16853` `cube-prod_binary64_16815` `/-rgt-identity_binary64_16778`
10×	`associate-+l+_binary64_16720`
9×	`cube-mult_binary64_16817`
8×	`log-prod_binary64_16873`
7×	`unsub-neg_binary64_16781` `swap-sqr_binary64_16754` `distribute-lft-out--_binary64_16739`
5×	`pow-plus_binary64_16850` `pow-sqr_binary64_16760` `associate--l+_binary64_16724` `associate--r+_binary64_16723`
4×	`log-rec_binary64_16875` `cube-unmult_binary64_16824` `associate-+l-_binary64_16722` `associate-+r-_binary64_16721` `associate-+r+_binary64_16719`
3×	`prod-exp_binary64_16836`
2×	`div-exp_binary64_16838` `exp-diff_binary64_16835` `difference-of-squares_binary64_16756` `associate--r-_binary64_16726`
1×	`unpow2_binary64_16852` `unpow1/2_binary64_16851` `unpow1_binary64_16845` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `remove-double-neg_binary64_16775` `associate--l-_binary64_16725`
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` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `exp-to-pow_binary64_16849` `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` `rec-exp_binary64_16837` `exp-neg_binary64_16834` `e-exp-1_binary64_16832` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `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` `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-neg-out_binary64_16749` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `count-2_binary64_16735`

Counts

119 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	2666
1	469	2264
2	1752	2259
3	5171	2259

prune122.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	89	4	93

Error

Counts

93 → 4

Compiler

Compiled 2295 to 1500 computations (34.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 y x) (/.f64 z (/.f64 (+.f64 25 (.f64 x (+.f64 x -5))) (+.f64 (pow.f64 x 3) 125))))
0.0b	(*.f64 x (+.f64 x -5))
0.3b	(/.f64 z (/.f64 (+.f64 25 (*.f64 x (+.f64 x -5))) (+.f64 (pow.f64 x 3) 125)))
14.8b	(/.f64 (+.f64 25 (*.f64 x (+.f64 x -5))) (+.f64 (pow.f64 x 3) 125))

rewrite387.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

114×	`times-frac_binary64_16793`
100×	`*-un-lft-identity_binary64_16787`
68×	`add-sqr-sqrt_binary64_16809`
66×	`add-cube-cbrt_binary64_16822`
22×	`associate-/r*_binary64_16731`
17×	`distribute-lft-out_binary64_16738`
13×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
11×	`associate-/r/_binary64_16733`
8×	`flip3-+_binary64_16790` `flip-+_binary64_16761`
6×	`pow1_binary64_16848` `add-log-exp_binary64_16826` `div-inv_binary64_16784` `associate-/l*_binary64_16732`
4×	`div-exp_binary64_16838` `cbrt-undiv_binary64_16821` `associate-r_binary64_16727`
3×	`associate-l_binary64_16728`
2×	`frac-2neg_binary64_16798` `clear-num_binary64_16786` `associate-/l/_binary64_16734` `associate-*r/_binary64_16729`
1×	`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` `sum-log_binary64_16878` `+-commutative_binary64_16717`

Counts

4 → 159

Calls

4 calls:

22.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (+.f64 25 (.f64 x (+.f64 x -5))) (+.f64 (pow.f64 x 3) 125))))
14.0ms	(/.f64 z (/.f64 (+.f64 25 (*.f64 x (+.f64 x -5))) (+.f64 (pow.f64 x 3) 125)))
12.0ms	(/.f64 (+.f64 25 (*.f64 x (+.f64 x -5))) (+.f64 (pow.f64 x 3) 125))
7.0ms	(*.f64 x (+.f64 x -5))

Compiler

Compiled 5419 to 3728 computations (31.2% saved)

series1.4s (17.9%)

Error

Counts

4 → 45

Calls

4 calls:

901.0ms	(+.f64 (.f64 y x) (/.f64 z (/.f64 (+.f64 25 (.f64 x (+.f64 x -5))) (+.f64 (pow.f64 x 3) 125))))
354.0ms	(/.f64 z (/.f64 (+.f64 25 (*.f64 x (+.f64 x -5))) (+.f64 (pow.f64 x 3) 125)))
68.0ms	(/.f64 (+.f64 25 (*.f64 x (+.f64 x -5))) (+.f64 (pow.f64 x 3) 125))
58.0ms	(*.f64 x (+.f64 x -5))

Compiler

Compiled 1984 to 1528 computations (23% saved)

simplify208.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

743×	`distribute-rgt-in_binary64_16737`
294×	`times-frac_binary64_16793`
289×	`div-sub_binary64_16792`
179×	`cancel-sign-sub-inv_binary64_16753`
161×	`*-commutative_binary64_16718`
152×	`associate-/r/_binary64_16733`
142×	`associate-l_binary64_16728`
140×	`associate-r_binary64_16727`
133×	`distribute-lft-in_binary64_16736`
131×	`associate-/l/_binary64_16734`
115×	`associate-*l/_binary64_16730`
86×	`distribute-rgt-neg-in_binary64_16745`
84×	`sub-neg_binary64_16780`
67×	`exp-prod_binary64_16839`
66×	`distribute-lft-neg-in_binary64_16744`
63×	`associate-/l*_binary64_16732`
62×	`associate-*r/_binary64_16729`
56×	`unswap-sqr_binary64_16755`
55×	`+-commutative_binary64_16717`
52×	`*-rgt-identity_binary64_16777`
45×	`distribute-rgt-out_binary64_16740`
43×	`cube-prod_binary64_16815`
41×	`associate-/r*_binary64_16731`
40×	`sqr-pow_binary64_16759`
36×	`neg-mul-1_binary64_16783` `neg-sub0_binary64_16782`
31×	`distribute-neg-in_binary64_16748`
28×	`log-prod_binary64_16873` `distribute-neg-frac_binary64_16751`
22×	`distribute-lft-neg-out_binary64_16746` `distribute-rgt-out--_binary64_16741`
20×	`*-lft-identity_binary64_16776` `distribute-lft-out_binary64_16738`
18×	`exp-sum_binary64_16833`
16×	`associate--l+_binary64_16724`
15×	`unpow3_binary64_16853`
14×	`log-div_binary64_16874` `cube-div_binary64_16816`
13×	`swap-sqr_binary64_16754` `associate--r+_binary64_16723` `associate-+l+_binary64_16720`
12×	`distribute-rgt-neg-out_binary64_16747`
10×	`unsub-neg_binary64_16781`
9×	`cube-mult_binary64_16817` `distribute-lft-out--_binary64_16739`
8×	`/-rgt-identity_binary64_16778`
7×	`exp-diff_binary64_16835` `cube-unmult_binary64_16824`
6×	`pow-plus_binary64_16850` `associate-+l-_binary64_16722`
4×	`pow-sqr_binary64_16760` `associate-+r+_binary64_16719`
3×	`remove-double-div_binary64_16763` `associate-+r-_binary64_16721`
2×	`log-pow_binary64_16876` `unpow1/2_binary64_16851` `remove-double-neg_binary64_16775` `associate--r-_binary64_16726`
1×	`unpow2_binary64_16852` `unpow1_binary64_16845` `prod-exp_binary64_16836` `1-exp_binary64_16831` `exp-1-e_binary64_16830` `sqr-neg_binary64_16801` `rem-sqrt-square_binary64_16800` `div0_binary64_16768` `difference-of-squares_binary64_16756` `associate--l-_binary64_16725`
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` `pow-base-0_binary64_16871` `unpow1/3_binary64_16854` `exp-to-pow_binary64_16849` `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` `exp-neg_binary64_16834` `e-exp-1_binary64_16832` `exp-0_binary64_16829` `rem-log-exp_binary64_16828` `rem-exp-log_binary64_16827` `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` `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` `*-inverses_binary64_16767` `+-inverses_binary64_16766` `lft-mult-inverse_binary64_16765` `rgt-mult-inverse_binary64_16764` `difference-of-sqr--1_binary64_16758` `difference-of-sqr-1_binary64_16757` `cancel-sign-sub_binary64_16752` `distribute-frac-neg_binary64_16750` `distribute-neg-out_binary64_16749` `distribute-rgt1-in_binary64_16743` `distribute-lft1-in_binary64_16742` `count-2_binary64_16735`

Counts

204 → 133

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	6184
1	779	5899
2	2536	5887
3	4647	5887
4	5245	5887

prune204.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	133	4	137

Error

Counts

137 → 4

Compiler

Compiled 3625 to 2381 computations (34.3% saved)

regimes533.0ms (6.7%)

Accuracy

Total 0.1b remaining (99.3%)

Threshold costs 0.1b (99.3%)

Compiler

Compiled 4936 to 3875 computations (21.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_16718`
2×	`+-commutative_binary64_16717`
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-not_binary64_17045` `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	10	16
1	15	16
2	15	16

end0.0ms (0%)

sample1.6s (20.6%)

Algorithm

1×

intervals

Results

217.0ms	7688×	body	128	valid
23.0ms	668×	body	128	invalid
16.0ms	176×	body	1024	valid
7.0ms	92×	body	512	valid
2.0ms	44×	body	256	valid

Compiler

Compiled 1238 to 975 computations (21.2% saved)

Details

analyze454.0ms (5.7%)

sample21.0ms (0.3%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite51.0ms (0.6%)

series384.0ms (4.8%)

simplify97.0ms (1.2%)

prune44.0ms (0.5%)

localize6.0ms (0.1%)

rewrite51.0ms (0.6%)

series303.0ms (3.8%)

simplify121.0ms (1.5%)

prune37.0ms (0.5%)

localize14.0ms (0.2%)

rewrite192.0ms (2.4%)

series1.6s (19.5%)

simplify82.0ms (1%)

prune122.0ms (1.5%)

localize15.0ms (0.2%)

rewrite387.0ms (4.9%)

series1.4s (17.9%)

simplify208.0ms (2.6%)

prune204.0ms (2.6%)

regimes533.0ms (6.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.6s (20.6%)

Profiling