Details

analyze351.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

610×	`times-frac_binary64_14406`
558×	`sub-neg_binary64_14393`
440×	`neg-mul-1_binary64_14396`
438×	`associate-/l*_binary64_14345`
424×	`distribute-neg-frac_binary64_14364`
418×	`neg-sub0_binary64_14395`
402×	`distribute-rgt-neg-in_binary64_14358`
392×	`div-sub_binary64_14405`
354×	`unsub-neg_binary64_14394`
288×	`distribute-lft-neg-out_binary64_14359`
282×	`cancel-sign-sub-inv_binary64_14366`
248×	`distribute-neg-in_binary64_14361`
218×	`distribute-lft-neg-in_binary64_14357`
214×	`associate-*l/_binary64_14343`
204×	`+-commutative_binary64_14330`
186×	`distribute-rgt-in_binary64_14350`
166×	`associate-/r/_binary64_14346`
154×	`remove-double-neg_binary64_14388`
152×	`associate--r+_binary64_14336`
146×	`distribute-rgt-out--_binary64_14354`
142×	`distribute-lft-in_binary64_14349`
140×	`distribute-frac-neg_binary64_14363`
138×	`associate-r_binary64_14340`
134×	`associate-l_binary64_14341`
128×	`distribute-rgt-neg-out_binary64_14360`
116×	`associate--r-_binary64_14339`
108×	`distribute-lft-out--_binary64_14352` `associate--l+_binary64_14337`
106×	`distribute-lft-out_binary64_14351`
92×	`*-rgt-identity_binary64_14390` `associate-/l/_binary64_14347`
90×	`*-commutative_binary64_14331`
82×	`distribute-rgt-out_binary64_14353` `associate-/r*_binary64_14344`
72×	`associate-*r/_binary64_14342`
62×	`div0_binary64_14381` `associate-+r+_binary64_14332`
60×	`associate-+l-_binary64_14335`
48×	`*-lft-identity_binary64_14389` `associate--l-_binary64_14338`
46×	`cancel-sign-sub_binary64_14365` `associate-+r-_binary64_14334`
44×	`sub0-neg_binary64_14387` `remove-double-div_binary64_14376` `associate-+l+_binary64_14333`
40×	`distribute-neg-out_binary64_14362`
22×	`distribute-rgt1-in_binary64_14356`
20×	`/-rgt-identity_binary64_14391`
16×	`+-rgt-identity_binary64_14385`
14×	`mul-1-neg_binary64_14392`
12×	`--rgt-identity_binary64_14386`
4×	`mul0-rgt_binary64_14383` `mul0-lft_binary64_14382`
2×	`+-lft-identity_binary64_14384`
1×	`1-exp_binary64_14444`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `log-pow_binary64_14489` `log-rec_binary64_14488` `log-div_binary64_14487` `log-prod_binary64_14486` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `unpow3_binary64_14466` `unpow2_binary64_14465` `unpow1/2_binary64_14464` `pow-plus_binary64_14463` `exp-to-pow_binary64_14462` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow1_binary64_14458` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `exp-prod_binary64_14452` `div-exp_binary64_14451` `rec-exp_binary64_14450` `prod-exp_binary64_14449` `exp-diff_binary64_14448` `exp-neg_binary64_14447` `exp-sum_binary64_14446` `e-exp-1_binary64_14445` `exp-1-e_binary64_14443` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `rem-exp-log_binary64_14440` `cube-unmult_binary64_14437` `cube-mult_binary64_14430` `cube-div_binary64_14429` `cube-prod_binary64_14428` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `rem-sqrt-square_binary64_14413` `rem-square-sqrt_binary64_14412` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `pow-sqr_binary64_14373` `sqr-pow_binary64_14372` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `difference-of-squares_binary64_14369` `unswap-sqr_binary64_14368` `swap-sqr_binary64_14367` `distribute-lft1-in_binary64_14355` `count-2_binary64_14348`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	42
1	46	36
2	124	36
3	259	36
4	373	36
5	571	36
6	1299	36
7	2252	36
8	3840	36
9	4270	36
10	4338	36
11	4785	36
12	4903	36
13	4977	36
14	4830	36
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%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
31.2%	31.2%	37.6%	6
37.5%	25%	37.6%	7
40.6%	15.6%	43.8%	8
42.9%	11.7%	45.4%	9
44.1%	7.4%	48.5%	10
45.1%	5.7%	49.3%	11
45.6%	3.6%	50.8%	12
46%	2.8%	51.2%	13
46.2%	1.8%	52%	14

Compiler

Compiled 15 to 14 computations (6.7% saved)

sample21.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid
0.0ms	3×	body	128	nan

Compiler

Compiled 29 to 29 computations (0% saved)

simplify151.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

326×	`associate-/l*_binary64_14345`
318×	`cancel-sign-sub-inv_binary64_14366`
290×	`distribute-rgt-neg-in_binary64_14358`
248×	`distribute-rgt-in_binary64_14350`
231×	`unsub-neg_binary64_14394`
221×	`div-sub_binary64_14405`
205×	`distribute-lft-in_binary64_14349`
173×	`associate-/l/_binary64_14347`
159×	`sub-neg_binary64_14393`
134×	`distribute-neg-frac_binary64_14364`
127×	`times-frac_binary64_14406`
119×	`distribute-lft-neg-out_binary64_14359`
117×	`associate-/r*_binary64_14344`
110×	`distribute-lft-neg-in_binary64_14357`
108×	`associate--r+_binary64_14336`
104×	`associate-/r/_binary64_14346`
102×	`associate-l_binary64_14341`
99×	`associate-r_binary64_14340`
90×	`distribute-rgt-neg-out_binary64_14360` `distribute-rgt-out--_binary64_14354`
82×	`neg-mul-1_binary64_14396`
79×	`neg-sub0_binary64_14395`
78×	`distribute-rgt-out_binary64_14353`
77×	`distribute-neg-in_binary64_14361`
60×	`*-commutative_binary64_14331`
55×	`associate-*l/_binary64_14343`
48×	`associate-+l-_binary64_14335`
40×	`associate-*r/_binary64_14342`
38×	`mul0-rgt_binary64_14383`
37×	`mul0-lft_binary64_14382`
36×	`remove-double-neg_binary64_14388`
34×	`associate--r-_binary64_14339`
32×	`*-rgt-identity_binary64_14390` `+-commutative_binary64_14330`
31×	`associate--l+_binary64_14337`
28×	`distribute-lft-out_binary64_14351`
23×	`*-lft-identity_binary64_14389` `distribute-lft-out--_binary64_14352`
20×	`associate-+l+_binary64_14333`
18×	`sub0-neg_binary64_14387`
17×	`associate-+r+_binary64_14332`
15×	`div0_binary64_14381`
11×	`distribute-neg-out_binary64_14362` `distribute-rgt1-in_binary64_14356`
9×	`associate-+r-_binary64_14334`
8×	`+-rgt-identity_binary64_14385`
6×	`/-rgt-identity_binary64_14391` `associate--l-_binary64_14338`
4×	`+-lft-identity_binary64_14384`
3×	`--rgt-identity_binary64_14386`
2×	`mul-1-neg_binary64_14392`
1×	`1-exp_binary64_14444`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `log-pow_binary64_14489` `log-rec_binary64_14488` `log-div_binary64_14487` `log-prod_binary64_14486` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `unpow3_binary64_14466` `unpow2_binary64_14465` `unpow1/2_binary64_14464` `pow-plus_binary64_14463` `exp-to-pow_binary64_14462` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow1_binary64_14458` `unpow-1_binary64_14457` `exp-lft-cube_binary64_14456` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `exp-prod_binary64_14452` `div-exp_binary64_14451` `rec-exp_binary64_14450` `prod-exp_binary64_14449` `exp-diff_binary64_14448` `exp-neg_binary64_14447` `exp-sum_binary64_14446` `e-exp-1_binary64_14445` `exp-1-e_binary64_14443` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `rem-exp-log_binary64_14440` `cube-unmult_binary64_14437` `cube-mult_binary64_14430` `cube-div_binary64_14429` `cube-prod_binary64_14428` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `rem-sqrt-square_binary64_14413` `rem-square-sqrt_binary64_14412` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `pow-sqr_binary64_14373` `sqr-pow_binary64_14372` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `difference-of-squares_binary64_14369` `unswap-sqr_binary64_14368` `swap-sqr_binary64_14367` `cancel-sign-sub_binary64_14365` `distribute-frac-neg_binary64_14363` `distribute-lft1-in_binary64_14355` `count-2_binary64_14348`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	28	18
2	68	18
3	137	18
4	197	18
5	297	18
6	671	18
7	1065	18
8	1544	18
9	1657	18
10	1839	18
11	1771	18
12	1745	18
13	1745	18
14	1943	18
15	1776	18
16	1776	18
17	1776	18
18	1583	18

prune4.0ms (0.1%)

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

0.3b

Counts

2 → 2

Compiler

Compiled 38 to 35 computations (7.9% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
0.3b	(/.f64 1 (*.f64 x 9))
0.3b	(*.f64 3 (sqrt.f64 x))

rewrite154.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`add-exp-log_binary64_14438`
19×	`add-sqr-sqrt_binary64_14422` `*-un-lft-identity_binary64_14400`
15×	`add-cbrt-cube_binary64_14436` `associate-r_binary64_14340`
13×	`pow1_binary64_14461`
11×	`add-cube-cbrt_binary64_14435`
7×	`prod-exp_binary64_14449`
6×	`cancel-sign-sub-inv_binary64_14366`
5×	`pow-prod-down_binary64_14471` `cbrt-unprod_binary64_14433` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
4×	`sqrt-prod_binary64_14416` `associate-l_binary64_14341` `div-exp_binary64_14451`
3×	`add-log-exp_binary64_14439` `times-frac_binary64_14406` `associate-/l*_binary64_14345` `distribute-lft-out--_binary64_14352`
2×	`unswap-sqr_binary64_14368` `-commutative_binary64_14331` `pow-flip_binary64_14474` `1-exp_binary64_14444` `rec-exp_binary64_14450` `cbrt-undiv_binary64_14434` `div-inv_binary64_14397` `sub-neg_binary64_14393` `associate--l+_binary64_14337` `associate-r/_binary64_14342` `difference-of-squares_binary64_14369` `distribute-lft-out_binary64_14351`
1×	`inv-pow_binary64_14485` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `associate-/r*_binary64_14344` `flip3--_binary64_14404` `flip--_binary64_14375` `difference-of-sqr-1_binary64_14370`

Counts

3 → 86

Calls

3 calls:

15.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
5.0ms	(*.f64 3 (sqrt.f64 x))
5.0ms	(/.f64 1 (*.f64 x 9))

Compiler

Compiled 1822 to 1351 computations (25.9% saved)

series267.0ms (4.3%)

Error

0.1b

Counts

3 → 15

Calls

3 calls:

206.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (/.f64 1 (*.f64 x 9))) 1))
25.0ms	(/.f64 1 (*.f64 x 9))
24.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 600 to 494 computations (17.7% saved)

simplify86.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

509×	`times-frac_binary64_14406`
448×	`distribute-rgt-in_binary64_14350`
426×	`distribute-lft-in_binary64_14349`
280×	`associate-/l*_binary64_14345`
255×	`associate-*l/_binary64_14343`
197×	`associate-/r*_binary64_14344`
191×	`associate-l_binary64_14341`
155×	`associate-/l/_binary64_14347`
146×	`associate-r_binary64_14340`
109×	`*-commutative_binary64_14331`
73×	`exp-prod_binary64_14452`
62×	`log-div_binary64_14487`
55×	`log-prod_binary64_14486`
34×	`sub-neg_binary64_14393` `swap-sqr_binary64_14367`
33×	`associate-/r/_binary64_14346`
27×	`distribute-rgt-neg-in_binary64_14358`
24×	`unsub-neg_binary64_14394` `distribute-lft-neg-in_binary64_14357` `+-commutative_binary64_14330`
22×	`cube-prod_binary64_14428`
19×	`sqr-pow_binary64_14372`
17×	`*-rgt-identity_binary64_14390`
16×	`*-lft-identity_binary64_14389` `cancel-sign-sub-inv_binary64_14366`
15×	`unpow3_binary64_14466` `neg-sub0_binary64_14395` `distribute-rgt-neg-out_binary64_14360` `associate-*r/_binary64_14342`
14×	`cube-div_binary64_14429` `neg-mul-1_binary64_14396`
11×	`distribute-lft-neg-out_binary64_14359` `distribute-rgt-out_binary64_14353`
9×	`unswap-sqr_binary64_14368`
8×	`exp-sum_binary64_14446` `associate-+l+_binary64_14333`
7×	`log-rec_binary64_14488` `exp-lft-cube_binary64_14456` `cube-unmult_binary64_14437` `distribute-neg-frac_binary64_14364` `associate--l+_binary64_14337`
6×	`mul-1-neg_binary64_14392` `distribute-neg-in_binary64_14361` `distribute-rgt-out--_binary64_14354` `associate-+r-_binary64_14334` `associate-+r+_binary64_14332`
5×	`pow-plus_binary64_14463` `distribute-lft-out_binary64_14351`
4×	`pow-sqr_binary64_14373` `associate--r+_binary64_14336`
3×	`count-2_binary64_14348`
2×	`cube-mult_binary64_14430` `rem-sqrt-square_binary64_14413` `+-lft-identity_binary64_14384` `difference-of-sqr-1_binary64_14370`
1×	`unpow1/2_binary64_14464` `exp-cbrt_binary64_14454` `exp-diff_binary64_14448` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `rem-3cbrt-lft_binary64_14425` `rem-square-sqrt_binary64_14412` `div-sub_binary64_14405` `/-rgt-identity_binary64_14391` `+-rgt-identity_binary64_14385` `difference-of-sqr--1_binary64_14371` `distribute-lft1-in_binary64_14355` `distribute-lft-out--_binary64_14352`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `log-pow_binary64_14489` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `unpow2_binary64_14465` `exp-to-pow_binary64_14462` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow1_binary64_14458` `unpow-1_binary64_14457` `exp-lft-sqr_binary64_14455` `exp-sqrt_binary64_14453` `div-exp_binary64_14451` `rec-exp_binary64_14450` `prod-exp_binary64_14449` `exp-neg_binary64_14447` `e-exp-1_binary64_14445` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `rem-exp-log_binary64_14440` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `remove-double-neg_binary64_14388` `sub0-neg_binary64_14387` `--rgt-identity_binary64_14386` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382` `div0_binary64_14381` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `difference-of-squares_binary64_14369` `cancel-sign-sub_binary64_14365` `distribute-frac-neg_binary64_14363` `distribute-neg-out_binary64_14362` `distribute-rgt1-in_binary64_14356` `associate--r-_binary64_14339` `associate--l-_binary64_14338` `associate-+l-_binary64_14335`

Counts

101 → 73

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	1518
1	358	1216
2	1177	1205
3	4878	1205
4	4965	1205

prune98.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	63	10	73
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	65	10	75

Error

0.0b

Counts

75 → 10

Compiler

Compiled 1397 to 1030 computations (26.3% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (sqrt.f64 x) (+.f64 y -1))
0.1b	(sqrt.f64 (/.f64 1 x))
0.2b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
0.4b	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))

rewrite202.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

42×	`add-sqr-sqrt_binary64_14422`
33×	`sqrt-prod_binary64_14416`
28×	`*-un-lft-identity_binary64_14400`
24×	`add-cube-cbrt_binary64_14435`
22×	`times-frac_binary64_14406` `associate-r_binary64_14340`
15×	`pow1_binary64_14461`
13×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
12×	`associate-l_binary64_14341`
7×	`associate-*r/_binary64_14342`
6×	`unswap-sqr_binary64_14368`
5×	`pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
4×	`add-log-exp_binary64_14439`
3×	`*-commutative_binary64_14331` `sqrt-pow1_binary64_14418` `rem-sqrt-square_binary64_14413`
2×	`sqrt-div_binary64_14417` `div-inv_binary64_14397` `flip3-+_binary64_14403` `flip-+_binary64_14374`
1×	`pow1/2_binary64_14480` `inv-pow_binary64_14485` `pow-flip_binary64_14474` `difference-of-sqr--1_binary64_14371` `distribute-lft-out_binary64_14351`

Counts

4 → 115

Calls

4 calls:

10.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
9.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
9.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
4.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 2496 to 1841 computations (26.2% saved)

series294.0ms (4.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

125.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y -1)))
100.0ms	(*.f64 (sqrt.f64 x) (+.f64 y -1))
26.0ms	(*.f64 1/3 (sqrt.f64 (/.f64 1 x)))
20.0ms	(sqrt.f64 (/.f64 1 x))

Compiler

Compiled 1142 to 905 computations (20.8% saved)

simplify108.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

451×	`distribute-rgt-in_binary64_14350`
433×	`distribute-lft-in_binary64_14349`
362×	`times-frac_binary64_14406`
307×	`*-commutative_binary64_14331`
254×	`+-commutative_binary64_14330`
233×	`associate-+l+_binary64_14333`
216×	`associate-+r+_binary64_14332`
172×	`neg-mul-1_binary64_14396`
149×	`associate-/l*_binary64_14345`
128×	`associate-l_binary64_14341`
120×	`associate-r_binary64_14340`
114×	`distribute-lft-neg-out_binary64_14359`
113×	`distribute-rgt-neg-out_binary64_14360`
104×	`associate-/r*_binary64_14344`
76×	`sqr-pow_binary64_14372`
73×	`exp-prod_binary64_14452`
68×	`associate-*l/_binary64_14343`
60×	`associate-*r/_binary64_14342`
58×	`unsub-neg_binary64_14394` `distribute-neg-in_binary64_14361`
45×	`sub-neg_binary64_14393`
42×	`cube-prod_binary64_14428`
41×	`associate-/l/_binary64_14347`
38×	`cancel-sign-sub-inv_binary64_14366`
37×	`swap-sqr_binary64_14367`
35×	`exp-sum_binary64_14446` `mul-1-neg_binary64_14392`
32×	`neg-sub0_binary64_14395`
31×	`*-rgt-identity_binary64_14390`
30×	`*-lft-identity_binary64_14389` `associate-/r/_binary64_14346`
29×	`div-sub_binary64_14405`
27×	`log-prod_binary64_14486` `distribute-rgt-neg-in_binary64_14358`
25×	`distribute-lft-neg-in_binary64_14357` `associate-+r-_binary64_14334`
21×	`associate--r+_binary64_14336` `associate-+l-_binary64_14335`
18×	`distribute-rgt-out_binary64_14353`
15×	`distribute-rgt-out--_binary64_14354`
14×	`unpow3_binary64_14466` `exp-diff_binary64_14448` `pow-sqr_binary64_14373` `unswap-sqr_binary64_14368`
13×	`cube-mult_binary64_14430`
10×	`prod-exp_binary64_14449`
9×	`+-rgt-identity_binary64_14385`
8×	`rem-sqrt-square_binary64_14413` `/-rgt-identity_binary64_14391`
7×	`unpow1/2_binary64_14464` `cube-unmult_binary64_14437` `cube-div_binary64_14429`
6×	`exp-lft-cube_binary64_14456` `sub0-neg_binary64_14387`
5×	`sqr-neg_binary64_14414` `associate--l+_binary64_14337`
4×	`pow-plus_binary64_14463` `distribute-lft-out--_binary64_14352`
3×	`cube-neg_binary64_14427` `difference-of-sqr-1_binary64_14370` `distribute-neg-out_binary64_14362`
2×	`log-div_binary64_14487` `rem-square-sqrt_binary64_14412` `div0_binary64_14381` `difference-of-sqr--1_binary64_14371` `distribute-neg-frac_binary64_14364`
1×	`log-rec_binary64_14488` `unpow1/3_binary64_14467` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `remove-double-neg_binary64_14388` `distribute-frac-neg_binary64_14363` `distribute-rgt1-in_binary64_14356` `distribute-lft-out_binary64_14351` `count-2_binary64_14348` `associate--r-_binary64_14339`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `log-pow_binary64_14489` `pow-base-0_binary64_14484` `unpow2_binary64_14465` `exp-to-pow_binary64_14462` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow1_binary64_14458` `unpow-1_binary64_14457` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `div-exp_binary64_14451` `rec-exp_binary64_14450` `exp-neg_binary64_14447` `e-exp-1_binary64_14445` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `rem-exp-log_binary64_14440` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `--rgt-identity_binary64_14386` `+-lft-identity_binary64_14384` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `difference-of-squares_binary64_14369` `cancel-sign-sub_binary64_14365` `distribute-lft1-in_binary64_14355` `associate--l-_binary64_14338`

Counts

139 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1662
1	369	1548
2	1018	1541
3	2451	1541
4	4345	1541
5	4981	1541

prune107.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	87	9	96

Error

0.0b

Counts

96 → 9

Compiler

Compiled 1750 to 1290 computations (26.3% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (*.f64 (/.f64 1 x) 1/9)) 1))
0.3b	(*.f64 3 (sqrt.f64 x))
0.4b	(*.f64 (/.f64 1 x) 1/9)

rewrite157.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

32×	`add-sqr-sqrt_binary64_14422`
21×	`*-un-lft-identity_binary64_14400`
19×	`add-exp-log_binary64_14438`
17×	`add-cube-cbrt_binary64_14435` `associate-l_binary64_14341`
16×	`associate-r_binary64_14340`
15×	`add-cbrt-cube_binary64_14436`
12×	`pow1_binary64_14461`
11×	`times-frac_binary64_14406`
8×	`prod-exp_binary64_14449`
6×	`cbrt-unprod_binary64_14433` `cancel-sign-sub-inv_binary64_14366`
5×	`pow-prod-down_binary64_14471` `unswap-sqr_binary64_14368` `distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
4×	`sqrt-prod_binary64_14416`
3×	`add-log-exp_binary64_14439` `*-commutative_binary64_14331`
2×	`div-exp_binary64_14451` `sub-neg_binary64_14393` `associate--l+_binary64_14337` `associate-*r/_binary64_14342` `difference-of-squares_binary64_14369`
1×	`1-exp_binary64_14444` `rec-exp_binary64_14450` `cbrt-undiv_binary64_14434` `associate-*l/_binary64_14343` `div-inv_binary64_14397` `flip3--_binary64_14404` `flip--_binary64_14375` `difference-of-sqr-1_binary64_14370` `distribute-lft-out--_binary64_14352`

Counts

3 → 91

Calls

3 calls:

12.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (*.f64 (/.f64 1 x) 1/9)) 1))
8.0ms	(*.f64 3 (sqrt.f64 x))
8.0ms	(*.f64 (/.f64 1 x) 1/9)

Compiler

Compiled 1997 to 1469 computations (26.4% saved)

series254.0ms (4.1%)

Error

0.0b

Counts

3 → 15

Calls

3 calls:

194.0ms	(.f64 (.f64 3 (sqrt.f64 x)) (-.f64 (+.f64 y (*.f64 (/.f64 1 x) 1/9)) 1))
27.0ms	(*.f64 (/.f64 1 x) 1/9)
23.0ms	(*.f64 3 (sqrt.f64 x))

Compiler

Compiled 600 to 494 computations (17.7% saved)

simplify104.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

456×	`distribute-rgt-in_binary64_14350`
418×	`distribute-lft-in_binary64_14349`
360×	`*-commutative_binary64_14331`
356×	`associate-/l*_binary64_14345`
240×	`neg-mul-1_binary64_14396`
208×	`associate-/l/_binary64_14347`
194×	`exp-prod_binary64_14452`
181×	`associate-l_binary64_14341`
163×	`unsub-neg_binary64_14394`
144×	`associate-r_binary64_14340`
116×	`distribute-rgt-neg-out_binary64_14360`
114×	`distribute-lft-neg-out_binary64_14359`
100×	`associate-*l/_binary64_14343`
99×	`associate-/r/_binary64_14346`
78×	`times-frac_binary64_14406`
72×	`associate-*r/_binary64_14342`
69×	`associate-/r*_binary64_14344`
63×	`sub-neg_binary64_14393`
61×	`exp-sum_binary64_14446`
59×	`sqr-pow_binary64_14372`
49×	`distribute-neg-in_binary64_14361`
47×	`associate-+r+_binary64_14332`
46×	`distribute-rgt-neg-in_binary64_14358` `distribute-lft-neg-in_binary64_14357`
45×	`associate-+l+_binary64_14333`
44×	`*-lft-identity_binary64_14389`
42×	`*-rgt-identity_binary64_14390`
41×	`log-prod_binary64_14486`
40×	`cube-prod_binary64_14428` `cancel-sign-sub-inv_binary64_14366` `+-commutative_binary64_14330`
39×	`exp-neg_binary64_14447`
37×	`exp-diff_binary64_14448`
32×	`swap-sqr_binary64_14367`
31×	`neg-sub0_binary64_14395`
28×	`mul-1-neg_binary64_14392` `associate-+r-_binary64_14334`
26×	`distribute-rgt-out_binary64_14353`
25×	`log-div_binary64_14487`
22×	`cube-div_binary64_14429`
18×	`div-sub_binary64_14405` `associate--l+_binary64_14337`
16×	`exp-lft-cube_binary64_14456`
14×	`unswap-sqr_binary64_14368`
13×	`unpow3_binary64_14466` `cube-mult_binary64_14430` `associate-+l-_binary64_14335`
12×	`+-rgt-identity_binary64_14385`
11×	`pow-sqr_binary64_14373`
10×	`rem-sqrt-square_binary64_14413` `distribute-rgt-out--_binary64_14354`
7×	`cube-unmult_binary64_14437`
6×	`log-rec_binary64_14488` `/-rgt-identity_binary64_14391` `distribute-lft-out_binary64_14351` `associate--r+_binary64_14336`
5×	`unpow1/2_binary64_14464`
4×	`pow-plus_binary64_14463` `prod-exp_binary64_14449` `sub0-neg_binary64_14387` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382`
3×	`+-lft-identity_binary64_14384` `difference-of-sqr-1_binary64_14370` `distribute-rgt1-in_binary64_14356` `count-2_binary64_14348`
2×	`difference-of-sqr--1_binary64_14371` `distribute-lft1-in_binary64_14355`
1×	`unpow2_binary64_14465` `exp-cbrt_binary64_14454` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `rem-3cbrt-lft_binary64_14425` `rem-square-sqrt_binary64_14412` `remove-double-neg_binary64_14388` `--rgt-identity_binary64_14386` `distribute-lft-out--_binary64_14352`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `log-pow_binary64_14489` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `exp-to-pow_binary64_14462` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow1_binary64_14458` `unpow-1_binary64_14457` `exp-lft-sqr_binary64_14455` `exp-sqrt_binary64_14453` `div-exp_binary64_14451` `rec-exp_binary64_14450` `e-exp-1_binary64_14445` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `rem-exp-log_binary64_14440` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `div0_binary64_14381` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `remove-double-div_binary64_14376` `difference-of-squares_binary64_14369` `cancel-sign-sub_binary64_14365` `distribute-neg-frac_binary64_14364` `distribute-frac-neg_binary64_14363` `distribute-neg-out_binary64_14362` `associate--r-_binary64_14339` `associate--l-_binary64_14338`

Counts

106 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1416
1	374	1284
2	1107	1273
3	3112	1273
4	4596	1273
5	5101	1273

prune97.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	80	9	89

Error

0.0b

Counts

89 → 9

Compiler

Compiled 1548 to 1120 computations (27.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1))))
0.3b	(*.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1)))
0.4b	(/.f64 1/9 x)

rewrite141.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`*-un-lft-identity_binary64_14400`
19×	`add-sqr-sqrt_binary64_14422`
15×	`add-cube-cbrt_binary64_14435`
12×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
10×	`pow1_binary64_14461`
9×	`times-frac_binary64_14406` `associate-l_binary64_14341`
6×	`associate-r/_binary64_14342` `associate-r*_binary64_14340`
5×	`distribute-rgt-in_binary64_14350` `distribute-lft-in_binary64_14349`
4×	`pow-prod-down_binary64_14471` `prod-exp_binary64_14449` `cbrt-unprod_binary64_14433` `sqrt-prod_binary64_14416`
3×	`add-log-exp_binary64_14439` `associate-/l_binary64_14345` `associate-/r_binary64_14344`
2×	`unswap-sqr_binary64_14368` `flip3-+_binary64_14403` `flip-+_binary64_14374` `distribute-lft-out_binary64_14351` `*-commutative_binary64_14331`
1×	`div-exp_binary64_14451` `cbrt-undiv_binary64_14434` `frac-2neg_binary64_14411` `clear-num_binary64_14399` `div-inv_binary64_14397` `distribute-lft-out--_binary64_14352`

Counts

3 → 79

Calls

3 calls:

18.0ms	(*.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1)))
18.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1))))
3.0ms	(/.f64 1/9 x)

Compiler

Compiled 1569 to 1073 computations (31.6% saved)

series367.0ms (5.9%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

188.0ms	(.f64 3 (.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1))))
135.0ms	(*.f64 (sqrt.f64 x) (+.f64 y (-.f64 (/.f64 1/9 x) 1)))
25.0ms	(/.f64 1/9 x)

Compiler

Compiled 758 to 593 computations (21.8% saved)

simplify113.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

602×	`distribute-rgt-in_binary64_14350`
596×	`distribute-lft-in_binary64_14349`
489×	`times-frac_binary64_14406`
324×	`associate-/l/_binary64_14347`
294×	`*-commutative_binary64_14331`
133×	`exp-prod_binary64_14452`
122×	`associate-l_binary64_14341`
119×	`associate-r_binary64_14340`
75×	`exp-sum_binary64_14446`
72×	`unsub-neg_binary64_14394`
68×	`sub-neg_binary64_14393`
67×	`sqr-pow_binary64_14372`
63×	`associate-/r*_binary64_14344`
61×	`associate-*l/_binary64_14343`
59×	`associate-/l*_binary64_14345`
57×	`cube-prod_binary64_14428` `associate-*r/_binary64_14342`
50×	`associate-+r+_binary64_14332`
48×	`associate-+l+_binary64_14333`
44×	`*-rgt-identity_binary64_14390`
43×	`distribute-neg-in_binary64_14361`
42×	`*-lft-identity_binary64_14389`
39×	`mul-1-neg_binary64_14392` `distribute-lft-neg-out_binary64_14359`
37×	`cancel-sign-sub-inv_binary64_14366` `distribute-rgt-out_binary64_14353`
36×	`distribute-rgt-neg-out_binary64_14360`
34×	`swap-sqr_binary64_14367`
32×	`+-commutative_binary64_14330`
31×	`log-prod_binary64_14486`
24×	`exp-diff_binary64_14448` `neg-sub0_binary64_14395`
21×	`unpow3_binary64_14466`
20×	`cube-mult_binary64_14430`
19×	`unswap-sqr_binary64_14368` `distribute-rgt-neg-in_binary64_14358`
18×	`neg-mul-1_binary64_14396`
17×	`associate-+r-_binary64_14334`
16×	`associate-/r/_binary64_14346`
15×	`+-rgt-identity_binary64_14385`
14×	`cube-div_binary64_14429` `pow-sqr_binary64_14373` `distribute-neg-frac_binary64_14364` `distribute-lft-neg-in_binary64_14357`
13×	`log-div_binary64_14487` `exp-lft-cube_binary64_14456`
10×	`distribute-rgt-out--_binary64_14354` `associate--r+_binary64_14336`
9×	`associate-+l-_binary64_14335`
7×	`cube-unmult_binary64_14437` `div-sub_binary64_14405`
6×	`pow-plus_binary64_14463` `prod-exp_binary64_14449` `sub0-neg_binary64_14387`
5×	`unpow1/2_binary64_14464` `associate--l+_binary64_14337`
4×	`/-rgt-identity_binary64_14391`
3×	`log-rec_binary64_14488` `exp-neg_binary64_14447` `count-2_binary64_14348`
2×	`difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352`
1×	`unpow2_binary64_14465` `1-exp_binary64_14444` `exp-1-e_binary64_14443` `rem-sqrt-square_binary64_14413` `rem-square-sqrt_binary64_14412` `remove-double-neg_binary64_14388` `remove-double-div_binary64_14376` `associate--r-_binary64_14339`
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_14663` `erf-erfc_binary64_14662` `erf-odd_binary64_14661` `if-if-and-not_binary64_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `not-gte_binary64_14652` `not-lte_binary64_14651` `not-gt_binary64_14650` `not-lt_binary64_14649` `gte-same_binary64_14648` `lte-same_binary64_14647` `gt-same_binary64_14646` `lt-same_binary64_14645` `sinh---cosh_binary64_14592` `sinh-+-cosh_binary64_14591` `sinh-cosh_binary64_14590` `tanh-def-c_binary64_14589` `tanh-def-b_binary64_14588` `tanh-def-a_binary64_14587` `cosh-def_binary64_14586` `sinh-def_binary64_14585` `tan-neg_binary64_14532` `cos-neg_binary64_14531` `sin-neg_binary64_14530` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `hang-m-tan_binary64_14526` `hang-p-tan_binary64_14525` `hang-m0-tan_binary64_14524` `hang-p0-tan_binary64_14523` `hang-0m-tan_binary64_14522` `hang-0p-tan_binary64_14521` `tan-+PI/2_binary64_14520` `tan-+PI_binary64_14519` `tan-PI_binary64_14518` `tan-PI/3_binary64_14517` `tan-PI/4_binary64_14516` `tan-PI/6_binary64_14515` `cos-+PI/2_binary64_14514` `cos-+PI_binary64_14513` `cos-PI_binary64_14512` `cos-PI/2_binary64_14511` `cos-PI/3_binary64_14510` `cos-PI/4_binary64_14509` `cos-PI/6_binary64_14508` `sin-+PI/2_binary64_14507` `sin-+PI_binary64_14506` `sin-PI_binary64_14505` `sin-PI/2_binary64_14504` `sin-PI/3_binary64_14503` `sin-PI/4_binary64_14502` `sin-PI/6_binary64_14501` `sub-1-sin_binary64_14500` `sub-1-cos_binary64_14499` `-1-add-sin_binary64_14498` `-1-add-cos_binary64_14497` `1-sub-sin_binary64_14496` `1-sub-cos_binary64_14495` `cos-sin-sum_binary64_14494` `log-E_binary64_14490` `log-pow_binary64_14489` `pow-base-0_binary64_14484` `unpow1/3_binary64_14467` `exp-to-pow_binary64_14462` `pow-base-1_binary64_14460` `unpow0_binary64_14459` `unpow1_binary64_14458` `unpow-1_binary64_14457` `exp-lft-sqr_binary64_14455` `exp-cbrt_binary64_14454` `exp-sqrt_binary64_14453` `div-exp_binary64_14451` `rec-exp_binary64_14450` `e-exp-1_binary64_14445` `exp-0_binary64_14442` `rem-log-exp_binary64_14441` `rem-exp-log_binary64_14440` `cube-neg_binary64_14427` `rem-3cbrt-rft_binary64_14426` `rem-3cbrt-lft_binary64_14425` `rem-cbrt-cube_binary64_14424` `rem-cube-cbrt_binary64_14423` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `--rgt-identity_binary64_14386` `+-lft-identity_binary64_14384` `mul0-rgt_binary64_14383` `mul0-lft_binary64_14382` `div0_binary64_14381` `*-inverses_binary64_14380` `+-inverses_binary64_14379` `lft-mult-inverse_binary64_14378` `rgt-mult-inverse_binary64_14377` `difference-of-sqr--1_binary64_14371` `difference-of-sqr-1_binary64_14370` `cancel-sign-sub_binary64_14365` `distribute-frac-neg_binary64_14363` `distribute-neg-out_binary64_14362` `distribute-rgt1-in_binary64_14356` `distribute-lft1-in_binary64_14355` `distribute-lft-out_binary64_14351` `associate--l-_binary64_14338`

Counts

100 → 53

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1654
1	338	1486
2	1053	1467
3	3486	1467
4	4789	1467
5	4938	1467

prune49.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	53	9	62

Error

0.0b

Counts

62 → 9

Compiler

Compiled 712 to 475 computations (33.3% saved)

regimes594.0ms (9.6%)

Accuracy

Total 0.4b remaining (97.8%)

Threshold costs 0.4b (97.8%)

Compiler

Compiled 5855 to 5078 computations (13.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_14331`
2×	`+-commutative_binary64_14330`
1×	`1-exp_binary64_14444`
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_14660` `if-if-and_binary64_14659` `if-if-or-not_binary64_14658` `if-if-or_binary64_14657` `if-not_binary64_14656` `if-same_binary64_14655` `if-false_binary64_14654` `if-true_binary64_14653` `tan-0_binary64_14529` `cos-0_binary64_14528` `sin-0_binary64_14527` `unpow1_binary64_14458` `e-exp-1_binary64_14445` `exp-1-e_binary64_14443` `exp-0_binary64_14442` `sqr-abs_binary64_14415` `sqr-neg_binary64_14414` `neg-mul-1_binary64_14396` `neg-sub0_binary64_14395` `unsub-neg_binary64_14394` `sub-neg_binary64_14393` `mul-1-neg_binary64_14392` `/-rgt-identity_binary64_14391` `-rgt-identity_binary64_14390` `-lft-identity_binary64_14389` `remove-double-neg_binary64_14388` `sub0-neg_binary64_14387` `--rgt-identity_binary64_14386` `+-rgt-identity_binary64_14385` `+-lft-identity_binary64_14384` `cancel-sign-sub-inv_binary64_14366` `cancel-sign-sub_binary64_14365` `distribute-neg-frac_binary64_14364` `distribute-frac-neg_binary64_14363` `distribute-neg-out_binary64_14362` `distribute-neg-in_binary64_14361` `distribute-rgt-neg-out_binary64_14360` `distribute-lft-neg-out_binary64_14359` `distribute-rgt-neg-in_binary64_14358` `distribute-lft-neg-in_binary64_14357`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	23
1	22	23
2	21	23

end0.0ms (0%)

sample2.4s (39%)

Algorithm

1×

intervals

Results

364.0ms	8000×	body	128	valid
6.0ms	140×	body	128	nan
3.0ms	78×	body	128	invalid

Compiler

Compiled 1933 to 1679 computations (13.1% saved)

Details

analyze351.0ms (5.7%)

sample21.0ms (0.3%)

simplify151.0ms (2.4%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite154.0ms (2.5%)

series267.0ms (4.3%)

simplify86.0ms (1.4%)

prune98.0ms (1.6%)

localize13.0ms (0.2%)

rewrite202.0ms (3.3%)

series294.0ms (4.8%)

simplify108.0ms (1.7%)

prune107.0ms (1.7%)

localize9.0ms (0.2%)

rewrite157.0ms (2.5%)

series254.0ms (4.1%)

simplify104.0ms (1.7%)

prune97.0ms (1.6%)

localize8.0ms (0.1%)

rewrite141.0ms (2.3%)

series367.0ms (5.9%)

simplify113.0ms (1.8%)

prune49.0ms (0.8%)

regimes594.0ms (9.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.4s (39%)

Profiling