Details

analyze1.2s (7.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

858×	`div-sub_binary64_18156`
819×	`sub-neg_binary64_18144`
386×	`neg-mul-1_binary64_18147` `unsub-neg_binary64_18145`
346×	`associate-/l*_binary64_18096`
295×	`cancel-sign-sub-inv_binary64_18117`
261×	`distribute-rgt-in_binary64_18101`
244×	`neg-sub0_binary64_18146`
240×	`times-frac_binary64_18157`
208×	`distribute-frac-neg_binary64_18114`
185×	`associate-/r*_binary64_18095`
166×	`+-commutative_binary64_18081`
120×	`distribute-lft-in_binary64_18100`
106×	`associate-+r+_binary64_18083`
101×	`associate-+l+_binary64_18084`
87×	`associate--r+_binary64_18087`
86×	`distribute-neg-in_binary64_18112`
83×	`distribute-rgt-neg-in_binary64_18109`
81×	`distribute-rgt-neg-out_binary64_18111`
77×	`*-commutative_binary64_18082`
75×	`distribute-lft-neg-in_binary64_18108`
73×	`associate-/r/_binary64_18097`
61×	`distribute-lft-neg-out_binary64_18110`
56×	`associate-+l-_binary64_18086`
47×	`associate-+r-_binary64_18085`
45×	`sub0-neg_binary64_18138`
42×	`associate-*l/_binary64_18094`
40×	`associate-r_binary64_18091` `associate--r-_binary64_18090`
38×	`distribute-neg-frac_binary64_18115`
35×	`associate-*r/_binary64_18093`
26×	`+-rgt-identity_binary64_18136`
25×	`associate-l_binary64_18092`
22×	`div0_binary64_18132`
16×	`mul0-rgt_binary64_18134` `mul0-lft_binary64_18133`
14×	`distribute-rgt-out--_binary64_18105`
11×	`remove-double-neg_binary64_18139`
8×	`mul-1-neg_binary64_18143`
7×	`+-lft-identity_binary64_18135` `distribute-rgt-out_binary64_18104`
6×	`associate--l+_binary64_18088`
4×	`*-lft-identity_binary64_18140` `distribute-neg-out_binary64_18113`
1×	`1-exp_binary64_18195`
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_18414` `erf-erfc_binary64_18413` `erf-odd_binary64_18412` `if-if-and-not_binary64_18411` `if-if-and_binary64_18410` `if-if-or-not_binary64_18409` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `not-gte_binary64_18403` `not-lte_binary64_18402` `not-gt_binary64_18401` `not-lt_binary64_18400` `gte-same_binary64_18399` `lte-same_binary64_18398` `gt-same_binary64_18397` `lt-same_binary64_18396` `sinh---cosh_binary64_18343` `sinh-+-cosh_binary64_18342` `sinh-cosh_binary64_18341` `tanh-def-c_binary64_18340` `tanh-def-b_binary64_18339` `tanh-def-a_binary64_18338` `cosh-def_binary64_18337` `sinh-def_binary64_18336` `tan-neg_binary64_18283` `cos-neg_binary64_18282` `sin-neg_binary64_18281` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `hang-m-tan_binary64_18277` `hang-p-tan_binary64_18276` `hang-m0-tan_binary64_18275` `hang-p0-tan_binary64_18274` `hang-0m-tan_binary64_18273` `hang-0p-tan_binary64_18272` `tan-+PI/2_binary64_18271` `tan-+PI_binary64_18270` `tan-PI_binary64_18269` `tan-PI/3_binary64_18268` `tan-PI/4_binary64_18267` `tan-PI/6_binary64_18266` `cos-+PI/2_binary64_18265` `cos-+PI_binary64_18264` `cos-PI_binary64_18263` `cos-PI/2_binary64_18262` `cos-PI/3_binary64_18261` `cos-PI/4_binary64_18260` `cos-PI/6_binary64_18259` `sin-+PI/2_binary64_18258` `sin-+PI_binary64_18257` `sin-PI_binary64_18256` `sin-PI/2_binary64_18255` `sin-PI/3_binary64_18254` `sin-PI/4_binary64_18253` `sin-PI/6_binary64_18252` `sub-1-sin_binary64_18251` `sub-1-cos_binary64_18250` `-1-add-sin_binary64_18249` `-1-add-cos_binary64_18248` `1-sub-sin_binary64_18247` `1-sub-cos_binary64_18246` `cos-sin-sum_binary64_18245` `log-E_binary64_18241` `log-pow_binary64_18240` `log-rec_binary64_18239` `log-div_binary64_18238` `log-prod_binary64_18237` `pow-base-0_binary64_18235` `unpow1/3_binary64_18218` `unpow3_binary64_18217` `unpow2_binary64_18216` `unpow1/2_binary64_18215` `pow-plus_binary64_18214` `exp-to-pow_binary64_18213` `pow-base-1_binary64_18211` `unpow0_binary64_18210` `unpow1_binary64_18209` `unpow-1_binary64_18208` `exp-lft-cube_binary64_18207` `exp-lft-sqr_binary64_18206` `exp-cbrt_binary64_18205` `exp-sqrt_binary64_18204` `exp-prod_binary64_18203` `div-exp_binary64_18202` `rec-exp_binary64_18201` `prod-exp_binary64_18200` `exp-diff_binary64_18199` `exp-neg_binary64_18198` `exp-sum_binary64_18197` `e-exp-1_binary64_18196` `exp-1-e_binary64_18194` `exp-0_binary64_18193` `rem-log-exp_binary64_18192` `rem-exp-log_binary64_18191` `cube-unmult_binary64_18188` `cube-mult_binary64_18181` `cube-div_binary64_18180` `cube-prod_binary64_18179` `cube-neg_binary64_18178` `rem-3cbrt-rft_binary64_18177` `rem-3cbrt-lft_binary64_18176` `rem-cbrt-cube_binary64_18175` `rem-cube-cbrt_binary64_18174` `sqr-abs_binary64_18166` `sqr-neg_binary64_18165` `rem-sqrt-square_binary64_18164` `rem-square-sqrt_binary64_18163` `/-rgt-identity_binary64_18142` `-rgt-identity_binary64_18141` `--rgt-identity_binary64_18137` `-inverses_binary64_18131` `+-inverses_binary64_18130` `lft-mult-inverse_binary64_18129` `rgt-mult-inverse_binary64_18128` `remove-double-div_binary64_18127` `pow-sqr_binary64_18124` `sqr-pow_binary64_18123` `difference-of-sqr--1_binary64_18122` `difference-of-sqr-1_binary64_18121` `difference-of-squares_binary64_18120` `unswap-sqr_binary64_18119` `swap-sqr_binary64_18118` `cancel-sign-sub_binary64_18116` `distribute-rgt1-in_binary64_18107` `distribute-lft1-in_binary64_18106` `distribute-lft-out--_binary64_18103` `distribute-lft-out_binary64_18102` `count-2_binary64_18099` `associate-/l/_binary64_18098` `associate--l-_binary64_18089`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	209
1	122	209
2	250	209
3	493	209
4	1048	209
5	2045	209
6	4212	209
7	5265	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample32.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	254×	body	128	valid
1.0ms	24×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1521×	`div-sub_binary64_18156`
653×	`distribute-rgt-in_binary64_18101`
513×	`distribute-lft-in_binary64_18100`
427×	`times-frac_binary64_18157`
338×	`sub-neg_binary64_18144`
297×	`associate-/l*_binary64_18096`
266×	`distribute-neg-frac_binary64_18115`
236×	`distribute-rgt-neg-in_binary64_18109`
231×	`associate-/r*_binary64_18095`
204×	`cancel-sign-sub-inv_binary64_18117`
193×	`associate-/l/_binary64_18098`
189×	`associate-/r/_binary64_18097` `*-commutative_binary64_18082`
187×	`distribute-lft-neg-in_binary64_18108`
166×	`distribute-lft-neg-out_binary64_18110`
161×	`neg-mul-1_binary64_18147`
137×	`neg-sub0_binary64_18146`
136×	`distribute-rgt-neg-out_binary64_18111` `associate-*l/_binary64_18094`
113×	`unsub-neg_binary64_18145` `distribute-frac-neg_binary64_18114`
103×	`associate--r+_binary64_18087`
78×	`cancel-sign-sub_binary64_18116` `distribute-neg-in_binary64_18112`
76×	`associate-r_binary64_18091`
73×	`associate-*r/_binary64_18093`
71×	`+-commutative_binary64_18081`
60×	`associate--r-_binary64_18090`
57×	`associate-l_binary64_18092`
43×	`associate-+l+_binary64_18084`
39×	`associate-+l-_binary64_18086` `associate-+r+_binary64_18083`
35×	`associate--l+_binary64_18088`
31×	`remove-double-neg_binary64_18139`
27×	`*-lft-identity_binary64_18140` `associate--l-_binary64_18089`
24×	`associate-+r-_binary64_18085`
21×	`distribute-rgt-out_binary64_18104` `distribute-lft-out_binary64_18102`
20×	`sub0-neg_binary64_18138`
18×	`mul0-rgt_binary64_18134`
17×	`div0_binary64_18132` `distribute-rgt-out--_binary64_18105`
16×	`*-rgt-identity_binary64_18141` `mul0-lft_binary64_18133` `distribute-neg-out_binary64_18113`
14×	`+-lft-identity_binary64_18135`
13×	`/-rgt-identity_binary64_18142`
11×	`+-rgt-identity_binary64_18136`
7×	`--rgt-identity_binary64_18137` `remove-double-div_binary64_18127`
5×	`mul-1-neg_binary64_18143`
4×	`distribute-lft-out--_binary64_18103`
1×	`1-exp_binary64_18195`
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_18414` `erf-erfc_binary64_18413` `erf-odd_binary64_18412` `if-if-and-not_binary64_18411` `if-if-and_binary64_18410` `if-if-or-not_binary64_18409` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `not-gte_binary64_18403` `not-lte_binary64_18402` `not-gt_binary64_18401` `not-lt_binary64_18400` `gte-same_binary64_18399` `lte-same_binary64_18398` `gt-same_binary64_18397` `lt-same_binary64_18396` `sinh---cosh_binary64_18343` `sinh-+-cosh_binary64_18342` `sinh-cosh_binary64_18341` `tanh-def-c_binary64_18340` `tanh-def-b_binary64_18339` `tanh-def-a_binary64_18338` `cosh-def_binary64_18337` `sinh-def_binary64_18336` `tan-neg_binary64_18283` `cos-neg_binary64_18282` `sin-neg_binary64_18281` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `hang-m-tan_binary64_18277` `hang-p-tan_binary64_18276` `hang-m0-tan_binary64_18275` `hang-p0-tan_binary64_18274` `hang-0m-tan_binary64_18273` `hang-0p-tan_binary64_18272` `tan-+PI/2_binary64_18271` `tan-+PI_binary64_18270` `tan-PI_binary64_18269` `tan-PI/3_binary64_18268` `tan-PI/4_binary64_18267` `tan-PI/6_binary64_18266` `cos-+PI/2_binary64_18265` `cos-+PI_binary64_18264` `cos-PI_binary64_18263` `cos-PI/2_binary64_18262` `cos-PI/3_binary64_18261` `cos-PI/4_binary64_18260` `cos-PI/6_binary64_18259` `sin-+PI/2_binary64_18258` `sin-+PI_binary64_18257` `sin-PI_binary64_18256` `sin-PI/2_binary64_18255` `sin-PI/3_binary64_18254` `sin-PI/4_binary64_18253` `sin-PI/6_binary64_18252` `sub-1-sin_binary64_18251` `sub-1-cos_binary64_18250` `-1-add-sin_binary64_18249` `-1-add-cos_binary64_18248` `1-sub-sin_binary64_18247` `1-sub-cos_binary64_18246` `cos-sin-sum_binary64_18245` `log-E_binary64_18241` `log-pow_binary64_18240` `log-rec_binary64_18239` `log-div_binary64_18238` `log-prod_binary64_18237` `pow-base-0_binary64_18235` `unpow1/3_binary64_18218` `unpow3_binary64_18217` `unpow2_binary64_18216` `unpow1/2_binary64_18215` `pow-plus_binary64_18214` `exp-to-pow_binary64_18213` `pow-base-1_binary64_18211` `unpow0_binary64_18210` `unpow1_binary64_18209` `unpow-1_binary64_18208` `exp-lft-cube_binary64_18207` `exp-lft-sqr_binary64_18206` `exp-cbrt_binary64_18205` `exp-sqrt_binary64_18204` `exp-prod_binary64_18203` `div-exp_binary64_18202` `rec-exp_binary64_18201` `prod-exp_binary64_18200` `exp-diff_binary64_18199` `exp-neg_binary64_18198` `exp-sum_binary64_18197` `e-exp-1_binary64_18196` `exp-1-e_binary64_18194` `exp-0_binary64_18193` `rem-log-exp_binary64_18192` `rem-exp-log_binary64_18191` `cube-unmult_binary64_18188` `cube-mult_binary64_18181` `cube-div_binary64_18180` `cube-prod_binary64_18179` `cube-neg_binary64_18178` `rem-3cbrt-rft_binary64_18177` `rem-3cbrt-lft_binary64_18176` `rem-cbrt-cube_binary64_18175` `rem-cube-cbrt_binary64_18174` `sqr-abs_binary64_18166` `sqr-neg_binary64_18165` `rem-sqrt-square_binary64_18164` `rem-square-sqrt_binary64_18163` `*-inverses_binary64_18131` `+-inverses_binary64_18130` `lft-mult-inverse_binary64_18129` `rgt-mult-inverse_binary64_18128` `pow-sqr_binary64_18124` `sqr-pow_binary64_18123` `difference-of-sqr--1_binary64_18122` `difference-of-sqr-1_binary64_18121` `difference-of-squares_binary64_18120` `unswap-sqr_binary64_18119` `swap-sqr_binary64_18118` `distribute-rgt1-in_binary64_18107` `distribute-lft1-in_binary64_18106` `count-2_binary64_18099`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	23	19
2	44	19
3	83	19
4	154	19
5	264	19
6	565	19
7	1302	19
8	2510	19
9	2552	19
10	2685	19
11	2748	19
12	2813	19
13	2836	19
14	4302	19
15	5048	19

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 13 to 13 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
0.0b	(*.f64 60 (-.f64 x y))
0.2b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite132.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-sqr-sqrt_binary64_18173`
15×	`*-un-lft-identity_binary64_18151`
10×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
9×	`add-cube-cbrt_binary64_18186`
6×	`cancel-sign-sub-inv_binary64_18117`
5×	`pow1_binary64_18212` `add-log-exp_binary64_18190` `times-frac_binary64_18157` `associate-/r_binary64_18095` `associate-r*_binary64_18091`
4×	`associate-*r/_binary64_18093` `distribute-rgt-in_binary64_18101` `distribute-lft-in_binary64_18100`
3×	`difference-of-squares_binary64_18120` `distribute-lft-out--_binary64_18103` `flip3--_binary64_18155` `flip--_binary64_18126` `associate-l_binary64_18092`
2×	`prod-exp_binary64_18200` `div-exp_binary64_18202` `cbrt-undiv_binary64_18185` `cbrt-unprod_binary64_18184` `associate-/l/_binary64_18098` `associate-/r/_binary64_18097` `sub-neg_binary64_18144`
1×	`frac-2neg_binary64_18162` `clear-num_binary64_18150` `div-inv_binary64_18148` `associate-/l_binary64_18096` `pow-prod-down_binary64_18222` `unswap-sqr_binary64_18119` `-commutative_binary64_18082` `sum-log_binary64_18242` `flip3-+_binary64_18154` `flip-+_binary64_18125` `+-commutative_binary64_18081`

Counts

3 → 70

Calls

3 calls:

12.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
11.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
8.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 1484 to 742 computations (50% saved)

series1.4s (8.6%)

Error

0.0b

Counts

3 → 76

Calls

3 calls:

744.0ms	(+.f64 (/.f64 (.f64 60 (-.f64 x y)) (-.f64 z t)) (.f64 a 120))
469.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
100.0ms	(*.f64 60 (-.f64 x y))

Compiler

Compiled 4101 to 3093 computations (24.6% saved)

simplify121.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

590×	`times-frac_binary64_18157`
424×	`distribute-rgt-in_binary64_18101`
334×	`div-sub_binary64_18156`
330×	`cancel-sign-sub-inv_binary64_18117`
183×	`sub-neg_binary64_18144`
115×	`exp-prod_binary64_18203` `distribute-rgt-neg-in_binary64_18109`
113×	`*-commutative_binary64_18082`
99×	`associate-/l*_binary64_18096`
97×	`distribute-lft-neg-in_binary64_18108`
84×	`+-commutative_binary64_18081`
69×	`associate-r_binary64_18091`
63×	`neg-sub0_binary64_18146` `associate-l_binary64_18092`
62×	`neg-mul-1_binary64_18147` `distribute-neg-frac_binary64_18115`
53×	`distribute-lft-in_binary64_18100`
49×	`distribute-lft-neg-out_binary64_18110` `distribute-lft-out--_binary64_18103`
48×	`associate--l+_binary64_18088`
45×	`associate-*r/_binary64_18093`
43×	`sqr-pow_binary64_18123` `associate-*l/_binary64_18094`
41×	`associate-/r*_binary64_18095`
40×	`associate--r+_binary64_18087`
37×	`cube-prod_binary64_18179` `distribute-rgt-neg-out_binary64_18111`
34×	`distribute-rgt-out_binary64_18104` `distribute-lft-out_binary64_18102`
32×	`exp-sum_binary64_18197`
29×	`distribute-neg-in_binary64_18112`
27×	`associate-+l+_binary64_18084`
23×	`unsub-neg_binary64_18145` `distribute-rgt-out--_binary64_18105`
22×	`associate-/r/_binary64_18097`
21×	`exp-diff_binary64_18199`
19×	`unpow3_binary64_18217` `associate-+r+_binary64_18083`
18×	`associate-/l/_binary64_18098`
16×	`unswap-sqr_binary64_18119`
15×	`cube-div_binary64_18180`
14×	`log-div_binary64_18238`
13×	`cube-mult_binary64_18181`
11×	`log-prod_binary64_18237`
9×	`exp-neg_binary64_18198` `difference-of-squares_binary64_18120` `swap-sqr_binary64_18118`
8×	`sqr-neg_binary64_18165` `*-rgt-identity_binary64_18141`
6×	`cube-unmult_binary64_18188` `distribute-rgt1-in_binary64_18107`
5×	`remove-double-neg_binary64_18139`
4×	`rem-sqrt-square_binary64_18164`
3×	`/-rgt-identity_binary64_18142` `cancel-sign-sub_binary64_18116`
2×	`unpow2_binary64_18216` `unpow1/2_binary64_18215` `pow-plus_binary64_18214` `unpow1_binary64_18209` `cube-neg_binary64_18178` `pow-sqr_binary64_18124` `associate--r-_binary64_18090` `associate-+r-_binary64_18085`
1×	`log-rec_binary64_18239` `prod-exp_binary64_18200` `1-exp_binary64_18195` `rem-3cbrt-lft_binary64_18176` `rem-square-sqrt_binary64_18163` `*-lft-identity_binary64_18140` `+-rgt-identity_binary64_18136` `div0_binary64_18132` `distribute-frac-neg_binary64_18114` `associate-+l-_binary64_18086`
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_18414` `erf-erfc_binary64_18413` `erf-odd_binary64_18412` `if-if-and-not_binary64_18411` `if-if-and_binary64_18410` `if-if-or-not_binary64_18409` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `not-gte_binary64_18403` `not-lte_binary64_18402` `not-gt_binary64_18401` `not-lt_binary64_18400` `gte-same_binary64_18399` `lte-same_binary64_18398` `gt-same_binary64_18397` `lt-same_binary64_18396` `sinh---cosh_binary64_18343` `sinh-+-cosh_binary64_18342` `sinh-cosh_binary64_18341` `tanh-def-c_binary64_18340` `tanh-def-b_binary64_18339` `tanh-def-a_binary64_18338` `cosh-def_binary64_18337` `sinh-def_binary64_18336` `tan-neg_binary64_18283` `cos-neg_binary64_18282` `sin-neg_binary64_18281` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `hang-m-tan_binary64_18277` `hang-p-tan_binary64_18276` `hang-m0-tan_binary64_18275` `hang-p0-tan_binary64_18274` `hang-0m-tan_binary64_18273` `hang-0p-tan_binary64_18272` `tan-+PI/2_binary64_18271` `tan-+PI_binary64_18270` `tan-PI_binary64_18269` `tan-PI/3_binary64_18268` `tan-PI/4_binary64_18267` `tan-PI/6_binary64_18266` `cos-+PI/2_binary64_18265` `cos-+PI_binary64_18264` `cos-PI_binary64_18263` `cos-PI/2_binary64_18262` `cos-PI/3_binary64_18261` `cos-PI/4_binary64_18260` `cos-PI/6_binary64_18259` `sin-+PI/2_binary64_18258` `sin-+PI_binary64_18257` `sin-PI_binary64_18256` `sin-PI/2_binary64_18255` `sin-PI/3_binary64_18254` `sin-PI/4_binary64_18253` `sin-PI/6_binary64_18252` `sub-1-sin_binary64_18251` `sub-1-cos_binary64_18250` `-1-add-sin_binary64_18249` `-1-add-cos_binary64_18248` `1-sub-sin_binary64_18247` `1-sub-cos_binary64_18246` `cos-sin-sum_binary64_18245` `log-E_binary64_18241` `log-pow_binary64_18240` `pow-base-0_binary64_18235` `unpow1/3_binary64_18218` `exp-to-pow_binary64_18213` `pow-base-1_binary64_18211` `unpow0_binary64_18210` `unpow-1_binary64_18208` `exp-lft-cube_binary64_18207` `exp-lft-sqr_binary64_18206` `exp-cbrt_binary64_18205` `exp-sqrt_binary64_18204` `div-exp_binary64_18202` `rec-exp_binary64_18201` `e-exp-1_binary64_18196` `exp-1-e_binary64_18194` `exp-0_binary64_18193` `rem-log-exp_binary64_18192` `rem-exp-log_binary64_18191` `rem-3cbrt-rft_binary64_18177` `rem-cbrt-cube_binary64_18175` `rem-cube-cbrt_binary64_18174` `sqr-abs_binary64_18166` `mul-1-neg_binary64_18143` `sub0-neg_binary64_18138` `--rgt-identity_binary64_18137` `+-lft-identity_binary64_18135` `mul0-rgt_binary64_18134` `mul0-lft_binary64_18133` `*-inverses_binary64_18131` `+-inverses_binary64_18130` `lft-mult-inverse_binary64_18129` `rgt-mult-inverse_binary64_18128` `remove-double-div_binary64_18127` `difference-of-sqr--1_binary64_18122` `difference-of-sqr-1_binary64_18121` `distribute-neg-out_binary64_18113` `distribute-lft1-in_binary64_18106` `count-2_binary64_18099` `associate--l-_binary64_18089`

Counts

146 → 90

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	2813
1	627	2636
2	1956	2501
3	4535	2501
4	5235	2501

prune108.0ms (0.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	84	6	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	6	91

Error

0.0b

Counts

91 → 6

Compiler

Compiled 1888 to 910 computations (51.8% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.2b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

rewrite174.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary64_18173`
71×	`*-un-lft-identity_binary64_18151`
51×	`times-frac_binary64_18157`
31×	`associate-r_binary64_18091`
27×	`add-cube-cbrt_binary64_18186`
22×	`difference-of-squares_binary64_18120` `distribute-lft-out--_binary64_18103`
10×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
5×	`pow1_binary64_18212` `add-log-exp_binary64_18190` `associate-/l_binary64_18096` `associate-/r_binary64_18095`
4×	`associate-/r/_binary64_18097`
3×	`associate-l_binary64_18092` `flip3--_binary64_18155` `flip--_binary64_18126`
2×	`div-exp_binary64_18202` `prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `cbrt-undiv_binary64_18185` `unswap-sqr_binary64_18119` `div-inv_binary64_18148` `associate-/l/_binary64_18098`
1×	`pow-prod-down_binary64_18222` `associate-r/_binary64_18093` `-commutative_binary64_18082` `frac-2neg_binary64_18162` `div-sub_binary64_18156` `clear-num_binary64_18150` `sum-log_binary64_18242` `flip3-+_binary64_18154` `flip-+_binary64_18125` `+-commutative_binary64_18081`

Counts

3 → 113

Calls

3 calls:

16.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
12.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
9.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 2615 to 988 computations (62.2% saved)

series1.7s (10.7%)

Error

0.0b

Counts

3 → 91

Calls

3 calls:

801.0ms	(+.f64 (.f64 60 (/.f64 (-.f64 x y) (-.f64 z t))) (.f64 a 120))
462.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
373.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 5289 to 3859 computations (27% saved)

simplify120.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

603×	`distribute-rgt-in_binary64_18101`
543×	`distribute-lft-in_binary64_18100`
367×	`cancel-sign-sub-inv_binary64_18117`
290×	`times-frac_binary64_18157`
218×	`sub-neg_binary64_18144`
109×	`*-commutative_binary64_18082`
95×	`distribute-rgt-neg-in_binary64_18109`
92×	`associate-/l*_binary64_18096`
87×	`+-commutative_binary64_18081`
81×	`distribute-lft-neg-in_binary64_18108` `associate-*r/_binary64_18093`
71×	`distribute-neg-frac_binary64_18115`
68×	`neg-sub0_binary64_18146`
67×	`div-sub_binary64_18156`
66×	`neg-mul-1_binary64_18147`
63×	`associate--l+_binary64_18088`
60×	`associate-r_binary64_18091`
59×	`associate-*l/_binary64_18094`
57×	`associate--r+_binary64_18087`
56×	`associate-l_binary64_18092`
45×	`distribute-lft-neg-out_binary64_18110`
44×	`distribute-neg-in_binary64_18112`
42×	`associate-/r*_binary64_18095`
38×	`associate-/l/_binary64_18098`
37×	`associate-+l+_binary64_18084`
34×	`sqr-pow_binary64_18123`
32×	`distribute-rgt-neg-out_binary64_18111`
31×	`unsub-neg_binary64_18145`
28×	`distribute-rgt-out--_binary64_18105`
27×	`distribute-rgt-out_binary64_18104`
24×	`distribute-lft-out--_binary64_18103` `distribute-lft-out_binary64_18102`
22×	`associate-+r+_binary64_18083`
18×	`associate-/r/_binary64_18097`
15×	`exp-prod_binary64_18203`
14×	`exp-sum_binary64_18197`
10×	`*-rgt-identity_binary64_18141` `unswap-sqr_binary64_18119`
7×	`log-div_binary64_18238` `unpow3_binary64_18217` `exp-diff_binary64_18199` `cube-prod_binary64_18179` `/-rgt-identity_binary64_18142`
6×	`cube-mult_binary64_18181` `cube-div_binary64_18180` `distribute-rgt1-in_binary64_18107`
5×	`difference-of-squares_binary64_18120`
4×	`swap-sqr_binary64_18118` `associate-+l-_binary64_18086`
3×	`cube-unmult_binary64_18188` `remove-double-neg_binary64_18139` `associate--r-_binary64_18090`
2×	`log-prod_binary64_18237` `unpow2_binary64_18216` `unpow1/2_binary64_18215` `unpow1_binary64_18209` `rem-sqrt-square_binary64_18164` `mul-1-neg_binary64_18143` `associate-+r-_binary64_18085`
1×	`prod-exp_binary64_18200` `1-exp_binary64_18195` `*-lft-identity_binary64_18140` `div0_binary64_18132` `pow-sqr_binary64_18124` `distribute-neg-out_binary64_18113` `associate--l-_binary64_18089`
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_18414` `erf-erfc_binary64_18413` `erf-odd_binary64_18412` `if-if-and-not_binary64_18411` `if-if-and_binary64_18410` `if-if-or-not_binary64_18409` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `not-gte_binary64_18403` `not-lte_binary64_18402` `not-gt_binary64_18401` `not-lt_binary64_18400` `gte-same_binary64_18399` `lte-same_binary64_18398` `gt-same_binary64_18397` `lt-same_binary64_18396` `sinh---cosh_binary64_18343` `sinh-+-cosh_binary64_18342` `sinh-cosh_binary64_18341` `tanh-def-c_binary64_18340` `tanh-def-b_binary64_18339` `tanh-def-a_binary64_18338` `cosh-def_binary64_18337` `sinh-def_binary64_18336` `tan-neg_binary64_18283` `cos-neg_binary64_18282` `sin-neg_binary64_18281` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `hang-m-tan_binary64_18277` `hang-p-tan_binary64_18276` `hang-m0-tan_binary64_18275` `hang-p0-tan_binary64_18274` `hang-0m-tan_binary64_18273` `hang-0p-tan_binary64_18272` `tan-+PI/2_binary64_18271` `tan-+PI_binary64_18270` `tan-PI_binary64_18269` `tan-PI/3_binary64_18268` `tan-PI/4_binary64_18267` `tan-PI/6_binary64_18266` `cos-+PI/2_binary64_18265` `cos-+PI_binary64_18264` `cos-PI_binary64_18263` `cos-PI/2_binary64_18262` `cos-PI/3_binary64_18261` `cos-PI/4_binary64_18260` `cos-PI/6_binary64_18259` `sin-+PI/2_binary64_18258` `sin-+PI_binary64_18257` `sin-PI_binary64_18256` `sin-PI/2_binary64_18255` `sin-PI/3_binary64_18254` `sin-PI/4_binary64_18253` `sin-PI/6_binary64_18252` `sub-1-sin_binary64_18251` `sub-1-cos_binary64_18250` `-1-add-sin_binary64_18249` `-1-add-cos_binary64_18248` `1-sub-sin_binary64_18247` `1-sub-cos_binary64_18246` `cos-sin-sum_binary64_18245` `log-E_binary64_18241` `log-pow_binary64_18240` `log-rec_binary64_18239` `pow-base-0_binary64_18235` `unpow1/3_binary64_18218` `pow-plus_binary64_18214` `exp-to-pow_binary64_18213` `pow-base-1_binary64_18211` `unpow0_binary64_18210` `unpow-1_binary64_18208` `exp-lft-cube_binary64_18207` `exp-lft-sqr_binary64_18206` `exp-cbrt_binary64_18205` `exp-sqrt_binary64_18204` `div-exp_binary64_18202` `rec-exp_binary64_18201` `exp-neg_binary64_18198` `e-exp-1_binary64_18196` `exp-1-e_binary64_18194` `exp-0_binary64_18193` `rem-log-exp_binary64_18192` `rem-exp-log_binary64_18191` `cube-neg_binary64_18178` `rem-3cbrt-rft_binary64_18177` `rem-3cbrt-lft_binary64_18176` `rem-cbrt-cube_binary64_18175` `rem-cube-cbrt_binary64_18174` `sqr-abs_binary64_18166` `sqr-neg_binary64_18165` `rem-square-sqrt_binary64_18163` `sub0-neg_binary64_18138` `--rgt-identity_binary64_18137` `+-rgt-identity_binary64_18136` `+-lft-identity_binary64_18135` `mul0-rgt_binary64_18134` `mul0-lft_binary64_18133` `*-inverses_binary64_18131` `+-inverses_binary64_18130` `lft-mult-inverse_binary64_18129` `rgt-mult-inverse_binary64_18128` `remove-double-div_binary64_18127` `difference-of-sqr--1_binary64_18122` `difference-of-sqr-1_binary64_18121` `cancel-sign-sub_binary64_18116` `distribute-frac-neg_binary64_18114` `distribute-lft1-in_binary64_18106` `count-2_binary64_18099`

Counts

204 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	250	4338
1	708	4131
2	2178	3915
3	5352	3915

prune112.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	111	7	118

Error

0.0b

Counts

118 → 7

Compiler

Compiled 2377 to 984 computations (58.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))) (*.f64 a 120))
0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.3b	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))
0.3b	(.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60)))

rewrite267.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

85×	`add-sqr-sqrt_binary64_18173`
75×	`*-un-lft-identity_binary64_18151`
52×	`times-frac_binary64_18157`
37×	`associate-l_binary64_18092`
31×	`add-cube-cbrt_binary64_18186`
22×	`difference-of-squares_binary64_18120` `distribute-lft-out--_binary64_18103`
20×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
11×	`pow1_binary64_18212`
8×	`sqrt-prod_binary64_18167`
7×	`prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `associate-r_binary64_18091`
6×	`add-log-exp_binary64_18190`
5×	`associate-/l_binary64_18096` `associate-/r_binary64_18095`
4×	`pow-prod-down_binary64_18222` `unswap-sqr_binary64_18119` `associate-/r/_binary64_18097`
3×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185` `flip3--_binary64_18155` `flip--_binary64_18126`
2×	`associate-l/_binary64_18094` `-commutative_binary64_18082` `div-inv_binary64_18148` `associate-/l/_binary64_18098`
1×	`associate-*r/_binary64_18093` `frac-2neg_binary64_18162` `div-sub_binary64_18156` `clear-num_binary64_18150` `sum-log_binary64_18242` `flip3-+_binary64_18154` `flip-+_binary64_18125` `+-commutative_binary64_18081`

Counts

4 → 142

Calls

4 calls:

17.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))
16.0ms	(.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60)))
16.0ms	(+.f64 (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))) (*.f64 a 120))
9.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 3881 to 1919 computations (50.6% saved)

series3.1s (19.3%)

Error

0.0b

Counts

4 → 118

Calls

4 calls:

1.3s	(+.f64 (.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))) (*.f64 a 120))
743.0ms	(.f64 (sqrt.f64 60) (.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60)))
516.0ms	(*.f64 (/.f64 (-.f64 x y) (-.f64 z t)) (sqrt.f64 60))
386.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

Compiler

Compiled 8969 to 7242 computations (19.3% saved)

simplify157.0ms (1%)

Algorithm

1×	egg-herbie

Rules

842×	`times-frac_binary64_18157`
654×	`cancel-sign-sub-inv_binary64_18117`
295×	`sub-neg_binary64_18144`
196×	`associate-/l*_binary64_18096`
154×	`*-commutative_binary64_18082`
153×	`associate-r_binary64_18091`
152×	`associate-l_binary64_18092`
137×	`+-commutative_binary64_18081`
115×	`associate--l+_binary64_18088`
111×	`associate--r+_binary64_18087`
95×	`div-sub_binary64_18156`
92×	`associate-/r*_binary64_18095`
83×	`neg-sub0_binary64_18146`
77×	`associate-*l/_binary64_18094`
73×	`neg-mul-1_binary64_18147`
68×	`associate-+l+_binary64_18084`
57×	`distribute-rgt-in_binary64_18101`
55×	`associate-/r/_binary64_18097`
52×	`distribute-lft-in_binary64_18100`
51×	`associate-*r/_binary64_18093`
48×	`sqr-pow_binary64_18123`
45×	`unsub-neg_binary64_18145`
44×	`associate-+r+_binary64_18083`
36×	`unswap-sqr_binary64_18119`
33×	`associate-/l/_binary64_18098`
25×	`distribute-neg-in_binary64_18112`
24×	`*-rgt-identity_binary64_18141`
17×	`exp-prod_binary64_18203` `cube-prod_binary64_18179` `swap-sqr_binary64_18118`
16×	`distribute-rgt-neg-in_binary64_18109`
15×	`log-prod_binary64_18237`
12×	`distribute-lft-neg-in_binary64_18108`
10×	`log-div_binary64_18238` `mul-1-neg_binary64_18143` `distribute-neg-frac_binary64_18115`
9×	`*-lft-identity_binary64_18140`
8×	`unpow3_binary64_18217` `/-rgt-identity_binary64_18142`
7×	`cube-div_binary64_18180`
6×	`exp-sum_binary64_18197` `cube-mult_binary64_18181`
5×	`difference-of-squares_binary64_18120`
4×	`cube-unmult_binary64_18188` `rem-sqrt-square_binary64_18164` `pow-sqr_binary64_18124` `distribute-lft-neg-out_binary64_18110`
3×	`unpow2_binary64_18216` `unpow1/2_binary64_18215` `unpow1_binary64_18209` `associate-+l-_binary64_18086` `associate-+r-_binary64_18085`
2×	`exp-diff_binary64_18199` `remove-double-neg_binary64_18139` `distribute-rgt-out--_binary64_18105` `distribute-rgt-out_binary64_18104` `associate--r-_binary64_18090`
1×	`log-pow_binary64_18240` `prod-exp_binary64_18200` `1-exp_binary64_18195` `exp-1-e_binary64_18194` `rem-square-sqrt_binary64_18163` `div0_binary64_18132`
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_18414` `erf-erfc_binary64_18413` `erf-odd_binary64_18412` `if-if-and-not_binary64_18411` `if-if-and_binary64_18410` `if-if-or-not_binary64_18409` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `not-gte_binary64_18403` `not-lte_binary64_18402` `not-gt_binary64_18401` `not-lt_binary64_18400` `gte-same_binary64_18399` `lte-same_binary64_18398` `gt-same_binary64_18397` `lt-same_binary64_18396` `sinh---cosh_binary64_18343` `sinh-+-cosh_binary64_18342` `sinh-cosh_binary64_18341` `tanh-def-c_binary64_18340` `tanh-def-b_binary64_18339` `tanh-def-a_binary64_18338` `cosh-def_binary64_18337` `sinh-def_binary64_18336` `tan-neg_binary64_18283` `cos-neg_binary64_18282` `sin-neg_binary64_18281` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `hang-m-tan_binary64_18277` `hang-p-tan_binary64_18276` `hang-m0-tan_binary64_18275` `hang-p0-tan_binary64_18274` `hang-0m-tan_binary64_18273` `hang-0p-tan_binary64_18272` `tan-+PI/2_binary64_18271` `tan-+PI_binary64_18270` `tan-PI_binary64_18269` `tan-PI/3_binary64_18268` `tan-PI/4_binary64_18267` `tan-PI/6_binary64_18266` `cos-+PI/2_binary64_18265` `cos-+PI_binary64_18264` `cos-PI_binary64_18263` `cos-PI/2_binary64_18262` `cos-PI/3_binary64_18261` `cos-PI/4_binary64_18260` `cos-PI/6_binary64_18259` `sin-+PI/2_binary64_18258` `sin-+PI_binary64_18257` `sin-PI_binary64_18256` `sin-PI/2_binary64_18255` `sin-PI/3_binary64_18254` `sin-PI/4_binary64_18253` `sin-PI/6_binary64_18252` `sub-1-sin_binary64_18251` `sub-1-cos_binary64_18250` `-1-add-sin_binary64_18249` `-1-add-cos_binary64_18248` `1-sub-sin_binary64_18247` `1-sub-cos_binary64_18246` `cos-sin-sum_binary64_18245` `log-E_binary64_18241` `log-rec_binary64_18239` `pow-base-0_binary64_18235` `unpow1/3_binary64_18218` `pow-plus_binary64_18214` `exp-to-pow_binary64_18213` `pow-base-1_binary64_18211` `unpow0_binary64_18210` `unpow-1_binary64_18208` `exp-lft-cube_binary64_18207` `exp-lft-sqr_binary64_18206` `exp-cbrt_binary64_18205` `exp-sqrt_binary64_18204` `div-exp_binary64_18202` `rec-exp_binary64_18201` `exp-neg_binary64_18198` `e-exp-1_binary64_18196` `exp-0_binary64_18193` `rem-log-exp_binary64_18192` `rem-exp-log_binary64_18191` `cube-neg_binary64_18178` `rem-3cbrt-rft_binary64_18177` `rem-3cbrt-lft_binary64_18176` `rem-cbrt-cube_binary64_18175` `rem-cube-cbrt_binary64_18174` `sqr-abs_binary64_18166` `sqr-neg_binary64_18165` `sub0-neg_binary64_18138` `--rgt-identity_binary64_18137` `+-rgt-identity_binary64_18136` `+-lft-identity_binary64_18135` `mul0-rgt_binary64_18134` `mul0-lft_binary64_18133` `*-inverses_binary64_18131` `+-inverses_binary64_18130` `lft-mult-inverse_binary64_18129` `rgt-mult-inverse_binary64_18128` `remove-double-div_binary64_18127` `difference-of-sqr--1_binary64_18122` `difference-of-sqr-1_binary64_18121` `cancel-sign-sub_binary64_18116` `distribute-frac-neg_binary64_18114` `distribute-neg-out_binary64_18113` `distribute-rgt-neg-out_binary64_18111` `distribute-rgt1-in_binary64_18107` `distribute-lft1-in_binary64_18106` `distribute-lft-out--_binary64_18103` `distribute-lft-out_binary64_18102` `count-2_binary64_18099` `associate--l-_binary64_18089`

Counts

260 → 203

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	6526
1	1006	6036
2	2919	5887
3	5076	5887

prune271.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	204	6	210

Error

0.0b

Counts

210 → 6

Compiler

Compiled 5037 to 2578 computations (48.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t)) (*.f64 a 120))
0.2b	(*.f64 (-.f64 x y) (sqrt.f64 60))
0.2b	(/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t))
0.3b	(.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60)))

rewrite189.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`add-sqr-sqrt_binary64_18173`
20×	`add-exp-log_binary64_18189` `add-cbrt-cube_binary64_18187`
17×	`*-un-lft-identity_binary64_18151`
11×	`pow1_binary64_18212` `add-cube-cbrt_binary64_18186` `associate-l_binary64_18092`
7×	`prod-exp_binary64_18200` `cbrt-unprod_binary64_18184` `sqrt-prod_binary64_18167` `associate-r_binary64_18091`
6×	`add-log-exp_binary64_18190` `associate-*l/_binary64_18094`
5×	`times-frac_binary64_18157` `associate-/r*_binary64_18095`
4×	`pow-prod-down_binary64_18222` `flip3--_binary64_18155` `associate-*r/_binary64_18093` `flip--_binary64_18126`
3×	`div-exp_binary64_18202` `cbrt-undiv_binary64_18185` `difference-of-squares_binary64_18120` `distribute-lft-out--_binary64_18103`
2×	`*-commutative_binary64_18082` `associate-/l/_binary64_18098` `associate-/r/_binary64_18097` `unswap-sqr_binary64_18119`
1×	`frac-2neg_binary64_18162` `clear-num_binary64_18150` `div-inv_binary64_18148` `associate-/l*_binary64_18096` `sum-log_binary64_18242` `flip3-+_binary64_18154` `flip-+_binary64_18125` `+-commutative_binary64_18081`

Counts

4 → 91

Calls

4 calls:

17.0ms	(+.f64 (/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t)) (*.f64 a 120))
15.0ms	(/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t))
11.0ms	(.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60)))
8.0ms	(*.f64 (-.f64 x y) (sqrt.f64 60))

Compiler

Compiled 2392 to 1450 computations (39.4% saved)

series2.6s (16.2%)

Error

0.0b

Counts

4 → 88

Calls

4 calls:

1.3s	(+.f64 (/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t)) (*.f64 a 120))
819.0ms	(/.f64 (.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60))) (-.f64 z t))
224.0ms	(.f64 (sqrt.f64 60) (.f64 (-.f64 x y) (sqrt.f64 60)))
150.0ms	(*.f64 (-.f64 x y) (sqrt.f64 60))

Compiler

Compiled 6011 to 5054 computations (15.9% saved)

simplify139.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

447×	`cancel-sign-sub-inv_binary64_18117`
401×	`distribute-rgt-in_binary64_18101`
379×	`distribute-lft-in_binary64_18100`
246×	`div-sub_binary64_18156`
195×	`sub-neg_binary64_18144`
166×	`associate-/l*_binary64_18096`
152×	`times-frac_binary64_18157`
146×	`associate-r_binary64_18091`
139×	`associate-l_binary64_18092`
105×	`*-commutative_binary64_18082`
97×	`distribute-rgt-neg-in_binary64_18109` `+-commutative_binary64_18081`
90×	`associate-/r*_binary64_18095`
86×	`distribute-lft-neg-in_binary64_18108`
79×	`associate--l+_binary64_18088`
69×	`associate--r+_binary64_18087`
57×	`distribute-neg-frac_binary64_18115`
56×	`exp-prod_binary64_18203`
54×	`sqr-pow_binary64_18123`
48×	`associate-/r/_binary64_18097`
47×	`neg-sub0_binary64_18146`
46×	`associate-*l/_binary64_18094`
43×	`neg-mul-1_binary64_18147` `associate-+l+_binary64_18084`
40×	`cube-prod_binary64_18179`
38×	`associate-*r/_binary64_18093`
36×	`distribute-lft-neg-out_binary64_18110`
35×	`distribute-rgt-out_binary64_18104`
34×	`exp-sum_binary64_18197`
33×	`log-prod_binary64_18237`
31×	`cube-div_binary64_18180`
30×	`log-div_binary64_18238` `associate-+r+_binary64_18083`
28×	`associate-/l/_binary64_18098`
26×	`distribute-rgt-neg-out_binary64_18111`
24×	`*-rgt-identity_binary64_18141`
23×	`unsub-neg_binary64_18145` `distribute-neg-in_binary64_18112`
22×	`unpow3_binary64_18217`
20×	`unswap-sqr_binary64_18119` `distribute-lft-out_binary64_18102`
16×	`cube-mult_binary64_18181`
15×	`swap-sqr_binary64_18118`
13×	`exp-diff_binary64_18199` `distribute-rgt-out--_binary64_18105`
9×	`/-rgt-identity_binary64_18142` `*-lft-identity_binary64_18140` `difference-of-squares_binary64_18120`
7×	`distribute-lft-out--_binary64_18103`
6×	`cube-unmult_binary64_18188` `mul-1-neg_binary64_18143` `distribute-rgt1-in_binary64_18107`
4×	`log-rec_binary64_18239` `unpow1/2_binary64_18215` `sqr-neg_binary64_18165` `rem-sqrt-square_binary64_18164` `pow-sqr_binary64_18124`
3×	`unpow2_binary64_18216` `pow-plus_binary64_18214` `unpow1_binary64_18209`
2×	`log-pow_binary64_18240` `exp-neg_binary64_18198`
1×	`prod-exp_binary64_18200` `1-exp_binary64_18195` `exp-1-e_binary64_18194` `cube-neg_binary64_18178` `rem-square-sqrt_binary64_18163` `remove-double-neg_binary64_18139` `associate--r-_binary64_18090` `associate-+l-_binary64_18086` `associate-+r-_binary64_18085`
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_18414` `erf-erfc_binary64_18413` `erf-odd_binary64_18412` `if-if-and-not_binary64_18411` `if-if-and_binary64_18410` `if-if-or-not_binary64_18409` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `not-gte_binary64_18403` `not-lte_binary64_18402` `not-gt_binary64_18401` `not-lt_binary64_18400` `gte-same_binary64_18399` `lte-same_binary64_18398` `gt-same_binary64_18397` `lt-same_binary64_18396` `sinh---cosh_binary64_18343` `sinh-+-cosh_binary64_18342` `sinh-cosh_binary64_18341` `tanh-def-c_binary64_18340` `tanh-def-b_binary64_18339` `tanh-def-a_binary64_18338` `cosh-def_binary64_18337` `sinh-def_binary64_18336` `tan-neg_binary64_18283` `cos-neg_binary64_18282` `sin-neg_binary64_18281` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `hang-m-tan_binary64_18277` `hang-p-tan_binary64_18276` `hang-m0-tan_binary64_18275` `hang-p0-tan_binary64_18274` `hang-0m-tan_binary64_18273` `hang-0p-tan_binary64_18272` `tan-+PI/2_binary64_18271` `tan-+PI_binary64_18270` `tan-PI_binary64_18269` `tan-PI/3_binary64_18268` `tan-PI/4_binary64_18267` `tan-PI/6_binary64_18266` `cos-+PI/2_binary64_18265` `cos-+PI_binary64_18264` `cos-PI_binary64_18263` `cos-PI/2_binary64_18262` `cos-PI/3_binary64_18261` `cos-PI/4_binary64_18260` `cos-PI/6_binary64_18259` `sin-+PI/2_binary64_18258` `sin-+PI_binary64_18257` `sin-PI_binary64_18256` `sin-PI/2_binary64_18255` `sin-PI/3_binary64_18254` `sin-PI/4_binary64_18253` `sin-PI/6_binary64_18252` `sub-1-sin_binary64_18251` `sub-1-cos_binary64_18250` `-1-add-sin_binary64_18249` `-1-add-cos_binary64_18248` `1-sub-sin_binary64_18247` `1-sub-cos_binary64_18246` `cos-sin-sum_binary64_18245` `log-E_binary64_18241` `pow-base-0_binary64_18235` `unpow1/3_binary64_18218` `exp-to-pow_binary64_18213` `pow-base-1_binary64_18211` `unpow0_binary64_18210` `unpow-1_binary64_18208` `exp-lft-cube_binary64_18207` `exp-lft-sqr_binary64_18206` `exp-cbrt_binary64_18205` `exp-sqrt_binary64_18204` `div-exp_binary64_18202` `rec-exp_binary64_18201` `e-exp-1_binary64_18196` `exp-0_binary64_18193` `rem-log-exp_binary64_18192` `rem-exp-log_binary64_18191` `rem-3cbrt-rft_binary64_18177` `rem-3cbrt-lft_binary64_18176` `rem-cbrt-cube_binary64_18175` `rem-cube-cbrt_binary64_18174` `sqr-abs_binary64_18166` `sub0-neg_binary64_18138` `--rgt-identity_binary64_18137` `+-rgt-identity_binary64_18136` `+-lft-identity_binary64_18135` `mul0-rgt_binary64_18134` `mul0-lft_binary64_18133` `div0_binary64_18132` `*-inverses_binary64_18131` `+-inverses_binary64_18130` `lft-mult-inverse_binary64_18129` `rgt-mult-inverse_binary64_18128` `remove-double-div_binary64_18127` `difference-of-sqr--1_binary64_18122` `difference-of-sqr-1_binary64_18121` `cancel-sign-sub_binary64_18116` `distribute-frac-neg_binary64_18114` `distribute-neg-out_binary64_18113` `distribute-lft1-in_binary64_18106` `count-2_binary64_18099` `associate--l-_binary64_18089`

Counts

179 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	254	4004
1	707	3377
2	2276	3029
3	4577	3021
4	5136	3021

prune168.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	158	6	164

Error

0.0b

Counts

164 → 6

Compiler

Compiled 3036 to 1607 computations (47.1% saved)

regimes1.9s (11.8%)

Accuracy

Total 0.1b remaining (84.2%)

Threshold costs 0.1b (84.2%)

Compiler

Compiled 15642 to 14833 computations (5.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64_18082` `+-commutative_binary64_18081`
7×	`sub-neg_binary64_18144`
5×	`neg-mul-1_binary64_18147` `neg-sub0_binary64_18146`
2×	`cancel-sign-sub-inv_binary64_18117` `distribute-rgt-neg-in_binary64_18109`
1×	`distribute-neg-frac_binary64_18115` `distribute-lft-neg-out_binary64_18110` `distribute-lft-neg-in_binary64_18108`
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_18411` `if-if-and_binary64_18410` `if-if-or-not_binary64_18409` `if-if-or_binary64_18408` `if-not_binary64_18407` `if-same_binary64_18406` `if-false_binary64_18405` `if-true_binary64_18404` `tan-0_binary64_18280` `cos-0_binary64_18279` `sin-0_binary64_18278` `unpow1_binary64_18209` `e-exp-1_binary64_18196` `1-exp_binary64_18195` `exp-1-e_binary64_18194` `exp-0_binary64_18193` `sqr-abs_binary64_18166` `sqr-neg_binary64_18165` `unsub-neg_binary64_18145` `mul-1-neg_binary64_18143` `/-rgt-identity_binary64_18142` `-rgt-identity_binary64_18141` `-lft-identity_binary64_18140` `remove-double-neg_binary64_18139` `sub0-neg_binary64_18138` `--rgt-identity_binary64_18137` `+-rgt-identity_binary64_18136` `+-lft-identity_binary64_18135` `cancel-sign-sub_binary64_18116` `distribute-frac-neg_binary64_18114` `distribute-neg-out_binary64_18113` `distribute-neg-in_binary64_18112` `distribute-rgt-neg-out_binary64_18111`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	28
1	27	28
2	40	28
3	50	28
4	57	28
5	60	28
6	61	28
7	61	28

end0.0ms (0%)

sample2.0s (12.5%)

Algorithm

1×

intervals

Results

320.0ms	7874×	body	128	valid
33.0ms	634×	body	128	invalid
7.0ms	42×	body	2048	valid
7.0ms	47×	body	1024	valid
2.0ms	21×	body	512	valid
1.0ms	13×	body	256	valid
1.0ms	3×	body	4096	valid

Compiler

Compiled 1349 to 1279 computations (5.2% saved)

Details

analyze1.2s (7.6%)

sample32.0ms (0.2%)

simplify137.0ms (0.8%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite132.0ms (0.8%)

series1.4s (8.6%)

simplify121.0ms (0.7%)

prune108.0ms (0.7%)

localize10.0ms (0.1%)

rewrite174.0ms (1.1%)

series1.7s (10.7%)

simplify120.0ms (0.7%)

prune112.0ms (0.7%)

localize12.0ms (0.1%)

rewrite267.0ms (1.6%)

series3.1s (19.3%)

simplify157.0ms (1%)

prune271.0ms (1.7%)

localize11.0ms (0.1%)

rewrite189.0ms (1.2%)

series2.6s (16.2%)

simplify139.0ms (0.9%)

prune168.0ms (1%)

regimes1.9s (11.8%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.0s (12.5%)

Profiling