Details

analyze1.6s (7.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
25%	62.4%	12.6%	8
31.2%	56.2%	12.6%	9
34.3%	53%	12.6%	10
42.9%	44.5%	12.6%	11
46.8%	40.6%	12.6%	12
47.8%	39.6%	12.6%	13
52.6%	34.8%	12.6%	14

Compiler

Compiled 22 to 20 computations (9.1% saved)

sample182.0ms (0.9%)

Algorithm

1×

intervals

Results

51.0ms	53×	body	1024	valid
38.0ms	42×	body	1024	invalid
18.0ms	150×	body	128	valid
15.0ms	25×	body	512	invalid
15.0ms	25×	body	512	valid
14.0ms	10×	body	2048	valid
6.0ms	18×	body	256	valid
5.0ms	12×	body	256	invalid
2.0ms	17×	body	128	invalid

Compiler

Compiled 43 to 42 computations (2.3% saved)

simplify228.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

740×	`associate-+l+_binary64_11`
657×	`associate-+r+_binary64_10`
493×	`unswap-sqr_binary64_46`
262×	`cube-prod_binary64_106`
220×	`distribute-rgt-out_binary64_31`
178×	`swap-sqr_binary64_45`
155×	`cube-div_binary64_107`
153×	`sqr-pow_binary64_50`
146×	`*-commutative_binary64_9`
134×	`associate-/l/_binary64_25`
123×	`associate-l_binary64_19`
102×	`pow-sqr_binary64_51`
99×	`distribute-rgt-in_binary64_28`
77×	`distribute-lft-out--_binary64_30`
71×	`associate-r_binary64_18`
62×	`distribute-rgt1-in_binary64_34`
60×	`associate-/l*_binary64_23`
57×	`pow-plus_binary64_141`
56×	`associate-*l/_binary64_21`
54×	`distribute-rgt-out--_binary64_32` `associate-/r/_binary64_24`
52×	`times-frac_binary64_84`
47×	`distribute-lft-in_binary64_27`
45×	`distribute-lft-out_binary64_29`
36×	`associate-/r*_binary64_22`
33×	`count-2_binary64_26`
32×	`cancel-sign-sub-inv_binary64_44` `distribute-lft1-in_binary64_33`
30×	`associate-*r/_binary64_20`
29×	`exp-prod_binary64_130`
21×	`unpow3_binary64_144` `distribute-rgt-neg-in_binary64_36`
20×	`cube-mult_binary64_108`
19×	`distribute-lft-neg-in_binary64_35`
16×	`div-exp_binary64_129` `prod-exp_binary64_127`
14×	`cube-unmult_binary64_115`
11×	`-rgt-identity_binary64_68` `-lft-identity_binary64_67`
9×	`+-commutative_binary64_8`
8×	`distribute-neg-frac_binary64_42`
6×	`associate--l+_binary64_15` `associate--r+_binary64_14`
5×	`sub-neg_binary64_71`
4×	`pow-base-1_binary64_138` `rec-exp_binary64_128` `difference-of-squares_binary64_47`
3×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73` `remove-double-div_binary64_54` `distribute-neg-in_binary64_39`
2×	`unpow2_binary64_143` `unpow1_binary64_136` `exp-sum_binary64_124` `+-inverses_binary64_57` `difference-of-sqr--1_binary64_49`
1×	`exp-lft-sqr_binary64_133` `exp-sqrt_binary64_131` `1-exp_binary64_122` `/-rgt-identity_binary64_69` `--rgt-identity_binary64_64` `*-inverses_binary64_58` `rgt-mult-inverse_binary64_55`
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_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `log-prod_binary64_164` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `exp-diff_binary64_126` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `div-sub_binary64_83` `unsub-neg_binary64_72` `mul-1-neg_binary64_70` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `lft-mult-inverse_binary64_56` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate-+l-_binary64_13` `associate-+r-_binary64_12`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	29	34
2	65	34
3	95	34
4	189	34
5	447	34
6	890	34
7	2053	34

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

22.6b

Counts

1 → 1

Compiler

Compiled 21 to 19 computations (9.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 (/.f64 angle 180))
0.3b	(*.f64 PI.f64 (/.f64 angle 180))
27.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
28.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite201.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

21.5b

Rules

30×	`add-sqr-sqrt_binary64_100`
26×	`associate-r_binary64_18`
20×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `times-frac_binary64_84`
14×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`pow1_binary64_139`
6×	`associate-l_binary64_19`
4×	`add-log-exp_binary64_117` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
2×	`pow-prod-down_binary64_149` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-r/_binary64_20` `div-inv_binary64_75` `-commutative_binary64_9`

Counts

4 → 78

Calls

4 calls:

8.0ms	(*.f64 PI.f64 (/.f64 angle 180))
7.0ms	(*.f64 PI.f64 (/.f64 angle 180))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2162 to 1535 computations (29% saved)

series179.0ms (0.9%)

Error

22.2b

Counts

4 → 15

Calls

4 calls:

49.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
46.0ms	(*.f64 PI.f64 (/.f64 angle 180))
40.0ms	(*.f64 PI.f64 (/.f64 angle 180))
18.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 968 to 797 computations (17.7% saved)

simplify191.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

640×	`distribute-rgt-neg-in_binary64_36`
569×	`cancel-sign-sub-inv_binary64_44`
401×	`associate-l_binary64_19`
357×	`associate-r_binary64_18`
304×	`associate-/l*_binary64_23`
276×	`unswap-sqr_binary64_46`
272×	`distribute-lft-neg-in_binary64_35`
250×	`associate-*l/_binary64_21`
241×	`times-frac_binary64_84`
233×	`associate-*r/_binary64_20`
179×	`sub-neg_binary64_71`
172×	`neg-mul-1_binary64_74`
163×	`neg-sub0_binary64_73`
150×	`sqr-pow_binary64_50`
133×	`associate-/l/_binary64_25`
100×	`*-commutative_binary64_9`
99×	`unsub-neg_binary64_72`
86×	`pow-sqr_binary64_51`
73×	`*-lft-identity_binary64_67`
61×	`associate-/r*_binary64_22`
60×	`associate-+l-_binary64_13`
53×	`associate-/r/_binary64_24`
50×	`*-rgt-identity_binary64_68`
48×	`distribute-neg-frac_binary64_42`
39×	`distribute-neg-in_binary64_39` `distribute-lft-neg-out_binary64_37`
38×	`log-div_binary64_165` `sub0-neg_binary64_65`
35×	`cube-div_binary64_107` `div-sub_binary64_83`
30×	`associate--l-_binary64_16`
28×	`+-commutative_binary64_8`
27×	`log-prod_binary64_164` `associate-+l+_binary64_11` `associate-+r+_binary64_10`
26×	`remove-double-div_binary64_54`
24×	`distribute-rgt-neg-out_binary64_38`
23×	`associate--l+_binary64_15`
20×	`associate-+r-_binary64_12`
19×	`/-rgt-identity_binary64_69` `distribute-rgt-in_binary64_28`
18×	`unpow3_binary64_144`
17×	`exp-prod_binary64_130` `cube-unmult_binary64_115` `cube-prod_binary64_106` `mul0-lft_binary64_60`
16×	`mul0-rgt_binary64_61` `swap-sqr_binary64_45` `distribute-lft-in_binary64_27`
15×	`distribute-neg-out_binary64_40`
14×	`+-lft-identity_binary64_62` `associate--r+_binary64_14`
13×	`remove-double-neg_binary64_66`
12×	`log-rec_binary64_166` `+-rgt-identity_binary64_63` `distribute-rgt-out--_binary64_32`
10×	`cube-mult_binary64_108`
9×	`div-exp_binary64_129` `prod-exp_binary64_127` `distribute-lft-out_binary64_29`
6×	`log-pow_binary64_167` `distribute-rgt-out_binary64_31` `distribute-lft-out--_binary64_30`
5×	`pow-plus_binary64_141`
4×	`associate--r-_binary64_17`
3×	`rec-exp_binary64_128` `--rgt-identity_binary64_64` `cancel-sign-sub_binary64_43`
2×	`exp-to-pow_binary64_140` `pow-base-1_binary64_138`
1×	`exp-sum_binary64_124` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-log-exp_binary64_119` `+-inverses_binary64_57` `rgt-mult-inverse_binary64_55` `distribute-rgt1-in_binary64_34` `count-2_binary64_26`
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_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow2_binary64_143` `unpow1/2_binary64_142` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-diff_binary64_126` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `div0_binary64_59` `*-inverses_binary64_58` `lft-mult-inverse_binary64_56` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `distribute-frac-neg_binary64_41` `distribute-lft1-in_binary64_33`

Counts

93 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1281
1	250	1137
2	815	1137
3	2859	1128
4	4405	1128

prune179.0ms (0.9%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	43	19	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	19	63

Error

21.5b

Counts

63 → 19

Compiler

Compiled 2353 to 1736 computations (26.2% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

27.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
28.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite78.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

21.5b

Rules

4×	`pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`

Counts

4 → 28

Calls

4 calls:

2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1204 to 888 computations (26.2% saved)

series162.0ms (0.8%)

Error

21.5b

Counts

4 → 15

Calls

4 calls:

54.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
24.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1573 to 1248 computations (20.7% saved)

simplify152.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

586×	`unswap-sqr_binary64_46`
545×	`cancel-sign-sub-inv_binary64_44`
540×	`distribute-rgt-neg-in_binary64_36`
481×	`distribute-lft-neg-in_binary64_35`
345×	`distribute-rgt-out_binary64_31`
311×	`distribute-rgt-in_binary64_28`
233×	`*-commutative_binary64_9`
225×	`sub-neg_binary64_71`
221×	`distribute-lft-in_binary64_27`
200×	`neg-mul-1_binary64_74`
195×	`neg-sub0_binary64_73`
172×	`associate-r_binary64_18`
170×	`associate-l_binary64_19`
111×	`sqr-pow_binary64_50`
94×	`distribute-neg-in_binary64_39`
89×	`unsub-neg_binary64_72`
70×	`pow-sqr_binary64_51`
53×	`distribute-lft-neg-out_binary64_37`
50×	`distribute-rgt-neg-out_binary64_38`
48×	`associate-+l-_binary64_13`
42×	`associate-/l/_binary64_25`
37×	`associate--r+_binary64_14`
35×	`remove-double-neg_binary64_66`
34×	`distribute-rgt-out--_binary64_32` `+-commutative_binary64_8`
33×	`exp-prod_binary64_130`
32×	`associate--l+_binary64_15` `associate-+r+_binary64_10`
30×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
26×	`associate-/l*_binary64_23` `associate-+l+_binary64_11`
24×	`times-frac_binary64_84`
22×	`associate-*r/_binary64_20`
21×	`cube-unmult_binary64_115` `associate-+r-_binary64_12`
18×	`sub0-neg_binary64_65`
17×	`distribute-rgt1-in_binary64_34` `distribute-lft-out_binary64_29` `associate--l-_binary64_16`
15×	`cancel-sign-sub_binary64_43`
14×	`swap-sqr_binary64_45`
13×	`+-rgt-identity_binary64_63`
12×	`pow-plus_binary64_141` `distribute-lft-out--_binary64_30`
11×	`associate--r-_binary64_17`
9×	`unpow3_binary64_144`
7×	`associate-/r/_binary64_24`
6×	`cube-prod_binary64_106`
5×	`/-rgt-identity_binary64_69`
4×	`distribute-neg-out_binary64_40`
3×	`--rgt-identity_binary64_64` `associate-*l/_binary64_21`
2×	`cube-mult_binary64_108`
1×	`exp-sum_binary64_124` `1-exp_binary64_122` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `*-inverses_binary64_58` `count-2_binary64_26`
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_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `log-prod_binary64_164` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow2_binary64_143` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-div_binary64_107` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `div-sub_binary64_83` `mul-1-neg_binary64_70` `+-lft-identity_binary64_62` `div0_binary64_59` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-lft1-in_binary64_33` `associate-/r*_binary64_22`

Counts

43 → 52

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	691
1	111	607
2	286	607
3	1015	607
4	2047	607
5	3602	607

prune185.0ms (0.9%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	49	22	71

Error

21.5b

Counts

71 → 22

Compiler

Compiled 3182 to 2417 computations (24% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 angle)
0.6b	(cbrt.f64 angle)
27.7b	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 angle) (/.f64 (cbrt.f64 angle) (sqrt.f64 180)))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
28.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite91.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

21.4b

Rules

6×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78` `cbrt-prod_binary64_109`
4×	`pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
2×	`pow1/3_binary64_160`

Counts

4 → 36

Calls

4 calls:

3.0ms	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 angle) (/.f64 (cbrt.f64 angle) (sqrt.f64 180)))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
1.0ms	(cbrt.f64 angle)
1.0ms	(cbrt.f64 angle)

Compiler

Compiled 1397 to 904 computations (35.3% saved)

series369.0ms (1.8%)

Error

21.4b

Counts

4 → 15

Calls

4 calls:

126.0ms	(cbrt.f64 angle)
115.0ms	(cbrt.f64 angle)
50.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
46.0ms	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 angle) (/.f64 (cbrt.f64 angle) (sqrt.f64 180)))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))

Compiler

Compiled 1412 to 1127 computations (20.2% saved)

simplify154.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

822×	`unswap-sqr_binary64_46`
532×	`associate-r_binary64_18`
523×	`associate-l_binary64_19`
178×	`times-frac_binary64_84`
174×	`associate-/l*_binary64_23`
130×	`distribute-neg-frac_binary64_42`
101×	`*-commutative_binary64_9`
88×	`sqr-pow_binary64_50` `cancel-sign-sub-inv_binary64_44`
74×	`distribute-rgt-neg-in_binary64_36`
67×	`neg-sub0_binary64_73` `associate-/r*_binary64_22`
66×	`pow-sqr_binary64_51` `associate-*l/_binary64_21`
65×	`distribute-lft-neg-in_binary64_35`
57×	`neg-mul-1_binary64_74`
56×	`associate-*r/_binary64_20`
54×	`sub-neg_binary64_71`
37×	`div-sub_binary64_83`
34×	`log-prod_binary64_164`
28×	`cube-prod_binary64_106`
21×	`pow-plus_binary64_141` `associate-/l/_binary64_25`
19×	`associate-/r/_binary64_24`
17×	`mul-1-neg_binary64_70`
16×	`cube-unmult_binary64_115`
14×	`swap-sqr_binary64_45`
11×	`cancel-sign-sub_binary64_43` `associate--l+_binary64_15`
10×	`+-commutative_binary64_8`
9×	`log-pow_binary64_167` `distribute-lft-neg-out_binary64_37` `associate-+l-_binary64_13`
7×	`remove-double-neg_binary64_66` `associate-+r-_binary64_12`
6×	`unpow3_binary64_144` `exp-prod_binary64_130` `rem-sqrt-square_binary64_91` `unsub-neg_binary64_72` `associate--r+_binary64_14` `associate-+l+_binary64_11` `associate-+r+_binary64_10`
5×	`distribute-frac-neg_binary64_41` `distribute-rgt-neg-out_binary64_38`
4×	`cube-mult_binary64_108` `sub0-neg_binary64_65` `+-rgt-identity_binary64_63`
3×	`div0_binary64_59`
2×	`unpow1/3_binary64_145` `distribute-neg-in_binary64_39` `distribute-rgt-in_binary64_28`
1×	`cos-neg_binary64_209` `sin-neg_binary64_208` `unpow2_binary64_143` `unpow1_binary64_136` `1-exp_binary64_122` `rem-3cbrt-lft_binary64_103` `rem-cube-cbrt_binary64_101` `rem-square-sqrt_binary64_90` `-rgt-identity_binary64_68` `-inverses_binary64_58` `rgt-mult-inverse_binary64_55` `distribute-rgt-out--_binary64_32` `count-2_binary64_26`
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_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-rec_binary64_166` `log-div_binary64_165` `pow-base-0_binary64_162` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-div_binary64_107` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `/-rgt-identity_binary64_69` `*-lft-identity_binary64_67` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-rgt-out_binary64_31` `distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29` `distribute-lft-in_binary64_27` `associate--r-_binary64_17` `associate--l-_binary64_16`

Counts

51 → 75

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	779
1	183	679
2	610	535
3	3106	535

prune299.0ms (1.4%)

Pruning

34 alts after pruning (34 fresh and 0 done)

	Pruned	Kept	Total
New	60	15	75
Fresh	2	19	21
Picked	1	0	1
Done	0	0	0
Total	63	34	97

Error

21.3b

Counts

97 → 34

Compiler

Compiled 4732 to 3438 computations (27.3% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

27.6b	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))
27.7b	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 angle) (/.f64 (cbrt.f64 angle) (sqrt.f64 180)))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
27.7b	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 angle) (/.f64 (cbrt.f64 angle) (sqrt.f64 180)))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
28.3b	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))

rewrite123.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

21.3b

Rules

4×	`pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`

Counts

4 → 28

Calls

4 calls:

3.0ms	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 angle) (/.f64 (cbrt.f64 angle) (sqrt.f64 180)))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
3.0ms	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 angle) (/.f64 (cbrt.f64 angle) (sqrt.f64 180)))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
2.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
2.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 1986 to 1341 computations (32.5% saved)

series259.0ms (1.2%)

Error

21.2b

Counts

4 → 15

Calls

4 calls:

60.0ms	(sin.f64 (*.f64 PI.f64 (/.f64 angle 180)))
58.0ms	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 angle) (/.f64 (cbrt.f64 angle) (sqrt.f64 180)))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
58.0ms	(cos.f64 (.f64 (.f64 PI.f64 (*.f64 (cbrt.f64 angle) (/.f64 (cbrt.f64 angle) (sqrt.f64 180)))) (/.f64 (cbrt.f64 angle) (sqrt.f64 180))))
31.0ms	(cos.f64 (*.f64 PI.f64 (/.f64 angle 180)))

Compiler

Compiled 2447 to 1831 computations (25.2% saved)

simplify363.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

582×	`cancel-sign-sub-inv_binary64_44`
507×	`associate-/r*_binary64_22`
466×	`associate-*l/_binary64_21`
327×	`distribute-rgt-neg-in_binary64_36`
298×	`distribute-lft-neg-in_binary64_35`
287×	`associate-r_binary64_18`
270×	`associate-/r/_binary64_24`
268×	`associate-l_binary64_19`
240×	`associate-/l/_binary64_25`
218×	`unswap-sqr_binary64_46`
93×	`associate-/l*_binary64_23`
92×	`*-commutative_binary64_9`
86×	`times-frac_binary64_84`
59×	`distribute-lft-neg-out_binary64_37`
58×	`sqr-pow_binary64_50`
55×	`distribute-neg-frac_binary64_42`
54×	`neg-sub0_binary64_73`
50×	`distribute-rgt-neg-out_binary64_38`
48×	`sub-neg_binary64_71`
47×	`neg-mul-1_binary64_74`
46×	`associate-*r/_binary64_20`
42×	`pow-sqr_binary64_51`
24×	`distribute-rgt-in_binary64_28`
22×	`distribute-lft-in_binary64_27`
17×	`div-sub_binary64_83`
15×	`mul-1-neg_binary64_70`
14×	`distribute-frac-neg_binary64_41`
12×	`cube-unmult_binary64_115`
11×	`associate--l+_binary64_15`
10×	`+-commutative_binary64_8`
9×	`associate-+l-_binary64_13`
8×	`distribute-rgt-out--_binary64_32`
7×	`associate-+r-_binary64_12`
6×	`unsub-neg_binary64_72` `swap-sqr_binary64_45` `distribute-lft-out--_binary64_30` `associate--r+_binary64_14` `associate-+l+_binary64_11` `associate-+r+_binary64_10`
5×	`pow-plus_binary64_141` `distribute-rgt-out_binary64_31`
4×	`remove-double-neg_binary64_66` `sub0-neg_binary64_65` `+-rgt-identity_binary64_63` `distribute-lft-out_binary64_29`
3×	`unpow3_binary64_144` `cube-mult_binary64_108`
2×	`cos-neg_binary64_209` `distribute-neg-in_binary64_39`
1×	`unpow2_binary64_143` `unpow1_binary64_136` `1-exp_binary64_122` `rem-3cbrt-lft_binary64_103` `rem-cube-cbrt_binary64_101` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `-rgt-identity_binary64_68` `-inverses_binary64_58` `rgt-mult-inverse_binary64_55` `cancel-sign-sub_binary64_43`
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_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `log-prod_binary64_164` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-prod_binary64_130` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-div_binary64_107` `cube-prod_binary64_106` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `/-rgt-identity_binary64_69` `*-lft-identity_binary64_67` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `associate--r-_binary64_17` `associate--l-_binary64_16`

Counts

43 → 232

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	77	1281
1	169	1063
2	485	1063
3	1895	607

prune1.5s (7.1%)

Pruning

41 alts after pruning (41 fresh and 0 done)

	Pruned	Kept	Total
New	221	11	232
Fresh	3	30	33
Picked	1	0	1
Done	0	0	0
Total	225	41	266

Error

21.2b

Counts

266 → 41

Compiler

Compiled 18152 to 12050 computations (33.6% saved)

regimes3.4s (16.3%)

Accuracy

Total 1.5b remaining (7.3%)

Threshold costs 0b (0%)

Compiler

Compiled 43345 to 35442 computations (18.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64_9`
1×	`+-commutative_binary64_8`
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_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `unpow1_binary64_136` `e-exp-1_binary64_123` `1-exp_binary64_122` `exp-1-e_binary64_121` `exp-0_binary64_120` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `unsub-neg_binary64_72` `sub-neg_binary64_71` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `cancel-sign-sub-inv_binary64_44` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	88
1	42	88

Proof

(+ f64 (pow f64 (* f64 h0 (* f64 (* f64 (cbrt f64 (cos f64 (* f64 (* f64 (PI f64) (* f64 (cbrt f64 h1) (/ f64 (cbrt f64 h1) (sqrt f64 180)))) (/ f64 (cbrt f64 h1) (sqrt f64 180))))) (cbrt f64 (cos f64 (/ f64 (=> (* f64 h1 (PI f64))) (pow f64 (sqrt f64 180) 2))))) (cbrt f64 (cos f64 (* f64 (PI f64) (/ f64 h1 180)))))) 2) (pow f64 (* f64 h2 (sin f64 (* f64 (PI f64) (/ f64 h1 180)))) 2))
*-commutative_binary64_9 =>
(+ f64 (pow f64 (* f64 h0 (* f64 (* f64 (cbrt f64 (cos f64 (=> (* f64 (* f64 (PI f64) (* f64 (cbrt f64 h1) (/ f64 (cbrt f64 h1) (sqrt f64 180)))) (/ f64 (cbrt f64 h1) (sqrt f64 180)))))) (cbrt f64 (cos f64 (/ f64 (* f64 (PI f64) h1) (pow f64 (sqrt f64 180) 2))))) (cbrt f64 (cos f64 (* f64 (PI f64) (/ f64 h1 180)))))) 2) (pow f64 (* f64 h2 (sin f64 (* f64 (PI f64) (/ f64 h1 180)))) 2))
*-commutative_binary64_9 =>
(+ f64 (pow f64 (* f64 h0 (* f64 (* f64 (cbrt f64 (cos f64 (* f64 (/ f64 (cbrt f64 h1) (sqrt f64 180)) (* f64 (PI f64) (* f64 (cbrt f64 h1) (/ f64 (cbrt f64 h1) (sqrt f64 180))))))) (cbrt f64 (cos f64 (/ f64 (* f64 (PI f64) h1) (pow f64 (sqrt f64 180) 2))))) (cbrt f64 (cos f64 (* f64 (PI f64) (/ f64 h1 180)))))) 2) (pow f64 (* f64 h2 (sin f64 (* f64 (PI f64) (/ f64 h1 180)))) 2))

end0.0ms (0%)

sample11.0s (52.4%)

Algorithm

1×

intervals

Results

1.5s	1621×	body	1024	valid
1.1s	1267×	body	1024	invalid
638.0ms	4991×	body	128	valid
468.0ms	792×	body	512	valid
414.0ms	687×	body	512	invalid
273.0ms	199×	body	2048	valid
125.0ms	334×	body	256	invalid
124.0ms	392×	body	256	valid
86.0ms	655×	body	128	invalid
23.0ms	5×	body	4096	valid

Compiler

Compiled 6787 to 5527 computations (18.6% saved)

Details

analyze1.6s (7.5%)

sample182.0ms (0.9%)

simplify228.0ms (1.1%)

prune2.0ms (0%)

localize15.0ms (0.1%)

rewrite201.0ms (1%)

series179.0ms (0.9%)

simplify191.0ms (0.9%)

prune179.0ms (0.9%)

localize20.0ms (0.1%)

rewrite78.0ms (0.4%)

series162.0ms (0.8%)

simplify152.0ms (0.7%)

prune185.0ms (0.9%)

localize24.0ms (0.1%)

rewrite91.0ms (0.4%)

series369.0ms (1.8%)

simplify154.0ms (0.7%)

prune299.0ms (1.4%)

localize33.0ms (0.2%)

rewrite123.0ms (0.6%)

series259.0ms (1.2%)

simplify363.0ms (1.7%)

prune1.5s (7.1%)

regimes3.4s (16.3%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample11.0s (52.4%)

Profiling