Details

analyze1.2s (4.7%)

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
31.2%	68.6%	0.1%	8
40.6%	59.3%	0.1%	9
40.6%	59.3%	0.1%	10
46%	53.8%	0.1%	11
52.7%	47.2%	0.1%	12
52.7%	44.6%	2.8%	13
55.9%	40.6%	3.5%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample135.0ms (0.5%)

Algorithm

1×

intervals

Results

29.0ms	57×	body	1024	valid
24.0ms	40×	body	1024	invalid
18.0ms	156×	body	128	valid
11.0ms	3×	body	4096	valid
11.0ms	11×	body	2048	valid
7.0ms	19×	body	512	valid
7.0ms	18×	body	512	invalid
5.0ms	45×	body	128	invalid
2.0ms	10×	body	256	valid
2.0ms	6×	body	256	invalid

Compiler

Compiled 47 to 46 computations (2.1% saved)

simplify224.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

415×	`unsub-neg_binary64_72`
397×	`distribute-rgt-in_binary64_28`
380×	`distribute-lft-in_binary64_27`
358×	`distribute-rgt-neg-out_binary64_38`
351×	`distribute-lft-neg-out_binary64_37`
341×	`associate-*l/_binary64_21`
297×	`associate-*r/_binary64_20`
241×	`*-commutative_binary64_9`
193×	`associate-l_binary64_19`
185×	`associate-r_binary64_18`
141×	`distribute-rgt-neg-in_binary64_36`
130×	`unswap-sqr_binary64_46`
123×	`neg-sub0_binary64_73`
114×	`neg-mul-1_binary64_74`
112×	`times-frac_binary64_84`
88×	`cancel-sign-sub-inv_binary64_44`
81×	`distribute-frac-neg_binary64_41`
77×	`distribute-neg-frac_binary64_42`
60×	`*-lft-identity_binary64_67`
59×	`*-rgt-identity_binary64_68`
48×	`associate-/r*_binary64_22`
45×	`associate-/l*_binary64_23`
39×	`div-sub_binary64_83`
36×	`distribute-lft-neg-in_binary64_35`
35×	`associate-/r/_binary64_24`
32×	`sub-neg_binary64_71`
30×	`sqr-pow_binary64_50`
25×	`associate-/l/_binary64_25`
22×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
19×	`swap-sqr_binary64_45`
17×	`pow-sqr_binary64_51`
16×	`pow-plus_binary64_141` `/-rgt-identity_binary64_69`
12×	`+-commutative_binary64_8`
11×	`difference-of-squares_binary64_47` `distribute-neg-in_binary64_39`
10×	`cube-prod_binary64_106`
9×	`div-exp_binary64_129` `prod-exp_binary64_127` `cube-unmult_binary64_115`
8×	`cube-div_binary64_107` `associate-+r+_binary64_10`
6×	`exp-prod_binary64_130` `distribute-rgt-out_binary64_31`
4×	`exp-sqrt_binary64_131` `+-rgt-identity_binary64_63` `associate-+l-_binary64_13` `associate-+r-_binary64_12`
3×	`rec-exp_binary64_128` `mul-1-neg_binary64_70` `sub0-neg_binary64_65` `+-lft-identity_binary64_62` `associate--r+_binary64_14`
2×	`unpow2_binary64_143` `unpow1_binary64_136` `--rgt-identity_binary64_64` `distribute-rgt1-in_binary64_34`
1×	`1-exp_binary64_122` `remove-double-neg_binary64_66` `*-inverses_binary64_58` `rgt-mult-inverse_binary64_55` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `associate-+l+_binary64_11`
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` `unpow3_binary64_144` `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-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-mult_binary64_108` `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` `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` `cancel-sign-sub_binary64_43` `distribute-neg-out_binary64_40` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15`

Counts

1 → 5

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	37
1	36	37
2	97	37
3	224	37
4	950	37
5	3250	37

prune13.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	3	2	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

31.8b

Counts

6 → 3

Compiler

Compiled 184 to 126 computations (31.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (.f64 b b) (.f64 a a))
7.7b	(.f64 (sin.f64 (.f64 (/.f64 PI.f64 180) angle)) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (cos.f64 (.f64 (/.f64 PI.f64 180) angle))))
26.2b	(sin.f64 (*.f64 (/.f64 PI.f64 180) angle))
26.3b	(cos.f64 (*.f64 (/.f64 PI.f64 180) angle))

rewrite121.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

31.7b

Rules

9×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
6×	`add-log-exp_binary64_117`
5×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-l_binary64_19`
2×	`flip3--_binary64_82` `associate-l/_binary64_21` `associate-r/_binary64_20` `flip--_binary64_53`
1×	`associate-r_binary64_18` `*-commutative_binary64_9` `diff-log_binary64_170` `sub-neg_binary64_71` `difference-of-squares_binary64_47` `cancel-sign-sub-inv_binary64_44`

Counts

4 → 47

Calls

4 calls:

10.0ms	(.f64 (sin.f64 (.f64 (/.f64 PI.f64 180) angle)) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (cos.f64 (.f64 (/.f64 PI.f64 180) angle))))
4.0ms	(-.f64 (.f64 b b) (.f64 a a))
2.0ms	(cos.f64 (*.f64 (/.f64 PI.f64 180) angle))
2.0ms	(sin.f64 (*.f64 (/.f64 PI.f64 180) angle))

Compiler

Compiled 1579 to 843 computations (46.6% saved)

series1.2s (5%)

Error

29.5b

Counts

4 → 41

Calls

4 calls:

926.0ms	(.f64 (sin.f64 (.f64 (/.f64 PI.f64 180) angle)) (.f64 (-.f64 (.f64 b b) (.f64 a a)) (cos.f64 (.f64 (/.f64 PI.f64 180) angle))))
150.0ms	(-.f64 (.f64 b b) (.f64 a a))
45.0ms	(sin.f64 (*.f64 (/.f64 PI.f64 180) angle))
43.0ms	(cos.f64 (*.f64 (/.f64 PI.f64 180) angle))

Compiler

Compiled 3066 to 2366 computations (22.8% saved)

simplify321.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

482×	`cancel-sign-sub-inv_binary64_44`
375×	`distribute-rgt-in_binary64_28`
358×	`distribute-lft-in_binary64_27`
336×	`associate-r_binary64_18`
296×	`unswap-sqr_binary64_46`
260×	`associate-l_binary64_19`
199×	`distribute-rgt-neg-in_binary64_36`
169×	`distribute-lft-neg-in_binary64_35`
120×	`*-commutative_binary64_9`
99×	`sub-neg_binary64_71`
86×	`sqr-pow_binary64_50` `distribute-rgt-out_binary64_31`
54×	`+-commutative_binary64_8`
48×	`neg-sub0_binary64_73`
47×	`neg-mul-1_binary64_74`
45×	`distribute-lft-neg-out_binary64_37`
43×	`pow-sqr_binary64_51`
37×	`associate-+r+_binary64_10`
36×	`distribute-neg-in_binary64_39`
33×	`associate-+l+_binary64_11`
30×	`associate--l+_binary64_15`
27×	`exp-prod_binary64_130`
25×	`associate--r+_binary64_14`
23×	`distribute-rgt-out--_binary64_32`
18×	`pow-plus_binary64_141`
17×	`unsub-neg_binary64_72`
16×	`log-prod_binary64_164` `swap-sqr_binary64_45` `distribute-rgt-neg-out_binary64_38`
15×	`cube-prod_binary64_106`
14×	`difference-of-squares_binary64_47` `distribute-lft-out_binary64_29`
11×	`exp-sum_binary64_124`
8×	`unpow3_binary64_144` `distribute-lft-out--_binary64_30`
7×	`cube-unmult_binary64_115`
4×	`unpow2_binary64_143` `unpow1_binary64_136` `cube-mult_binary64_108`
2×	`exp-diff_binary64_126` `+-rgt-identity_binary64_63` `associate-/l*_binary64_23` `associate-+r-_binary64_12`
1×	`div-exp_binary64_129` `1-exp_binary64_122` `times-frac_binary64_84` `mul-1-neg_binary64_70` `-rgt-identity_binary64_68` `-inverses_binary64_58` `associate-*l/_binary64_21`
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` `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` `rec-exp_binary64_128` `prod-exp_binary64_127` `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` `/-rgt-identity_binary64_69` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--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` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/r_binary64_22` `associate-*r/_binary64_20` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate-+l-_binary64_13`

Counts

88 → 160

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2586
1	527	2240
2	2202	2200

prune375.0ms (1.5%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	138	22	160
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	139	24	163

Error

30.3b

Counts

163 → 24

Compiler

Compiled 6450 to 3727 computations (42.2% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (.f64 b b) (.f64 a a))
7.7b	(.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) (-.f64 (.f64 b b) (.f64 a a))))
25.9b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
26.2b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite125.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

9×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27`
6×	`add-log-exp_binary64_117`
5×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44`
4×	`associate-*r/_binary64_20`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-l_binary64_19`
2×	`flip3--_binary64_82` `flip--_binary64_53`
1×	`associate-r_binary64_18` `*-commutative_binary64_9` `diff-log_binary64_170` `difference-of-squares_binary64_47`

Counts

4 → 55

Calls

4 calls:

11.0ms	(.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) (-.f64 (.f64 b b) (.f64 a a))))
4.0ms	(-.f64 (.f64 b b) (.f64 a a))
2.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 1883 to 871 computations (53.7% saved)

series1.2s (5.1%)

Error

29.5b

Counts

4 → 41

Calls

4 calls:

941.0ms	(.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) (-.f64 (.f64 b b) (.f64 a a))))
155.0ms	(-.f64 (.f64 b b) (.f64 a a))
48.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
37.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 3066 to 2301 computations (25% saved)

simplify322.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

481×	`cancel-sign-sub-inv_binary64_44`
376×	`distribute-rgt-in_binary64_28`
353×	`associate-r_binary64_18`
351×	`distribute-lft-in_binary64_27`
294×	`unswap-sqr_binary64_46`
277×	`associate-l_binary64_19`
194×	`distribute-rgt-neg-in_binary64_36`
169×	`distribute-lft-neg-in_binary64_35`
124×	`*-commutative_binary64_9`
100×	`sub-neg_binary64_71`
87×	`distribute-rgt-out_binary64_31`
86×	`sqr-pow_binary64_50`
53×	`+-commutative_binary64_8`
51×	`neg-sub0_binary64_73`
49×	`neg-mul-1_binary64_74` `distribute-lft-neg-out_binary64_37`
43×	`pow-sqr_binary64_51`
37×	`associate-+r+_binary64_10`
36×	`distribute-neg-in_binary64_39`
33×	`associate-+l+_binary64_11`
30×	`associate--l+_binary64_15`
28×	`exp-prod_binary64_130`
25×	`associate--r+_binary64_14`
24×	`distribute-rgt-out--_binary64_32`
22×	`distribute-rgt-neg-out_binary64_38`
19×	`unsub-neg_binary64_72`
18×	`pow-plus_binary64_141` `cube-prod_binary64_106`
17×	`log-prod_binary64_164`
16×	`swap-sqr_binary64_45`
15×	`distribute-lft-out_binary64_29`
14×	`difference-of-squares_binary64_47`
10×	`exp-sum_binary64_124`
8×	`unpow3_binary64_144`
7×	`cube-unmult_binary64_115`
5×	`distribute-lft-out--_binary64_30`
4×	`unpow2_binary64_143` `unpow1_binary64_136` `cube-mult_binary64_108`
3×	`exp-diff_binary64_126`
2×	`mul-1-neg_binary64_70` `+-rgt-identity_binary64_63` `associate-+r-_binary64_12`
1×	`div-exp_binary64_129` `1-exp_binary64_122` `times-frac_binary64_84` `-rgt-identity_binary64_68` `-inverses_binary64_58`
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` `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` `rec-exp_binary64_128` `prod-exp_binary64_127` `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` `/-rgt-identity_binary64_69` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--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` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-*r/_binary64_20` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate-+l-_binary64_13`

Counts

96 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	212	3050
1	537	2704
2	2227	2664

prune325.0ms (1.3%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	135	9	144
Fresh	3	20	23
Picked	1	0	1
Done	0	0	0
Total	139	29	168

Error

30.3b

Counts

168 → 29

Compiler

Compiled 6022 to 3293 computations (45.3% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (.f64 b b) (.f64 a a))
7.7b	(.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 3)) (-.f64 (.f64 b b) (.f64 a a))))
25.9b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
26.2b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite139.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

9×	`pow1_binary64_139` `add-exp-log_binary64_116`
8×	`add-cbrt-cube_binary64_114` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27`
6×	`add-log-exp_binary64_117`
5×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44`
4×	`associate-*r/_binary64_20`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-l_binary64_19`
2×	`flip3--_binary64_82` `flip--_binary64_53`
1×	`associate-r_binary64_18` `*-commutative_binary64_9` `diff-log_binary64_170` `difference-of-squares_binary64_47`

Counts

4 → 55

Calls

4 calls:

13.0ms	(.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 3)) (-.f64 (.f64 b b) (.f64 a a))))
4.0ms	(-.f64 (.f64 b b) (.f64 a a))
3.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2078 to 1072 computations (48.4% saved)

series1.3s (5.1%)

Error

29.5b

Counts

4 → 42

Calls

4 calls:

939.0ms	(.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 3)) (-.f64 (.f64 b b) (.f64 a a))))
153.0ms	(-.f64 (.f64 b b) (.f64 a a))
47.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
43.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 3292 to 2508 computations (23.8% saved)

simplify436.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

528×	`cancel-sign-sub-inv_binary64_44`
380×	`distribute-rgt-in_binary64_28`
353×	`distribute-lft-in_binary64_27`
350×	`associate-r_binary64_18`
308×	`unswap-sqr_binary64_46`
280×	`associate-l_binary64_19`
212×	`distribute-rgt-neg-in_binary64_36`
184×	`distribute-lft-neg-in_binary64_35`
129×	`*-commutative_binary64_9`
109×	`sub-neg_binary64_71`
89×	`sqr-pow_binary64_50`
87×	`distribute-rgt-out_binary64_31`
58×	`+-commutative_binary64_8`
56×	`neg-sub0_binary64_73`
54×	`neg-mul-1_binary64_74`
52×	`distribute-lft-neg-out_binary64_37`
45×	`pow-sqr_binary64_51`
38×	`distribute-neg-in_binary64_39`
37×	`associate-+r+_binary64_10`
34×	`associate--l+_binary64_15` `associate-+l+_binary64_11`
29×	`associate--r+_binary64_14`
28×	`exp-prod_binary64_130`
24×	`distribute-rgt-out--_binary64_32`
22×	`unsub-neg_binary64_72` `distribute-rgt-neg-out_binary64_38`
18×	`pow-plus_binary64_141` `cube-prod_binary64_106`
17×	`log-prod_binary64_164`
16×	`swap-sqr_binary64_45`
15×	`distribute-lft-out_binary64_29`
14×	`difference-of-squares_binary64_47`
10×	`exp-sum_binary64_124`
9×	`unpow3_binary64_144`
6×	`cube-unmult_binary64_115`
5×	`cube-mult_binary64_108` `distribute-lft-out--_binary64_30`
4×	`unpow2_binary64_143` `unpow1_binary64_136`
3×	`exp-diff_binary64_126`
2×	`mul-1-neg_binary64_70` `+-rgt-identity_binary64_63` `associate-+r-_binary64_12`
1×	`div-exp_binary64_129` `1-exp_binary64_122` `rem-cbrt-cube_binary64_102` `times-frac_binary64_84` `-rgt-identity_binary64_68` `-inverses_binary64_58`
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` `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` `rec-exp_binary64_128` `prod-exp_binary64_127` `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-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` `/-rgt-identity_binary64_69` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--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` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-*r/_binary64_20` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate-+l-_binary64_13`

Counts

97 → 256

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	3085
1	557	2760
2	2296	2720

prune676.0ms (2.7%)

Pruning

33 alts after pruning (33 fresh and 0 done)

	Pruned	Kept	Total
New	239	17	256
Fresh	12	16	28
Picked	1	0	1
Done	0	0	0
Total	252	33	285

Error

30.0b

Counts

285 → 33

Compiler

Compiled 10688 to 6034 computations (43.5% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (.f64 b b) (.f64 a a))
7.7b	(.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 3)) 3)) (-.f64 (.f64 b b) (.f64 a a))))
25.9b	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
26.2b	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

rewrite158.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

30.0b

Rules

9×	`pow1_binary64_139` `add-exp-log_binary64_116`
8×	`add-cbrt-cube_binary64_114` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27`
6×	`add-log-exp_binary64_117`
5×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44`
4×	`associate-*r/_binary64_20`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-l_binary64_19`
2×	`flip3--_binary64_82` `flip--_binary64_53`
1×	`associate-r_binary64_18` `*-commutative_binary64_9` `diff-log_binary64_170` `difference-of-squares_binary64_47`

Counts

4 → 55

Calls

4 calls:

17.0ms	(.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 3)) 3)) (-.f64 (.f64 b b) (.f64 a a))))
4.0ms	(-.f64 (.f64 b b) (.f64 a a))
3.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))
2.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 2288 to 1282 computations (44% saved)

series1.3s (5.3%)

Error

29.3b

Counts

4 → 42

Calls

4 calls:

972.0ms	(.f64 (sin.f64 (.f64 1/180 (.f64 angle PI.f64))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 1/180 (.f64 angle PI.f64))) 3)) 3)) (-.f64 (.f64 b b) (.f64 a a))))
159.0ms	(-.f64 (.f64 b b) (.f64 a a))
44.0ms	(sin.f64 (.f64 1/180 (.f64 angle PI.f64)))
38.0ms	(cos.f64 (.f64 1/180 (.f64 angle PI.f64)))

Compiler

Compiled 3466 to 2682 computations (22.6% saved)

simplify637.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

528×	`cancel-sign-sub-inv_binary64_44`
380×	`distribute-rgt-in_binary64_28`
353×	`distribute-lft-in_binary64_27`
350×	`associate-r_binary64_18`
308×	`unswap-sqr_binary64_46`
280×	`associate-l_binary64_19`
212×	`distribute-rgt-neg-in_binary64_36`
184×	`distribute-lft-neg-in_binary64_35`
128×	`*-commutative_binary64_9`
109×	`sub-neg_binary64_71`
89×	`sqr-pow_binary64_50`
87×	`distribute-rgt-out_binary64_31`
57×	`+-commutative_binary64_8`
56×	`neg-sub0_binary64_73`
54×	`neg-mul-1_binary64_74`
52×	`distribute-lft-neg-out_binary64_37`
45×	`pow-sqr_binary64_51`
38×	`distribute-neg-in_binary64_39`
37×	`associate-+r+_binary64_10`
34×	`associate--l+_binary64_15` `associate-+l+_binary64_11`
29×	`associate--r+_binary64_14`
28×	`exp-prod_binary64_130`
24×	`distribute-rgt-out--_binary64_32`
22×	`unsub-neg_binary64_72` `distribute-rgt-neg-out_binary64_38`
18×	`log-prod_binary64_164` `pow-plus_binary64_141` `cube-prod_binary64_106`
16×	`swap-sqr_binary64_45`
15×	`distribute-lft-out_binary64_29`
14×	`difference-of-squares_binary64_47`
10×	`unpow3_binary64_144` `exp-sum_binary64_124`
6×	`cube-unmult_binary64_115` `cube-mult_binary64_108`
5×	`distribute-lft-out--_binary64_30`
4×	`unpow2_binary64_143` `unpow1_binary64_136`
3×	`exp-diff_binary64_126`
2×	`mul-1-neg_binary64_70` `+-rgt-identity_binary64_63` `associate-+r-_binary64_12`
1×	`div-exp_binary64_129` `1-exp_binary64_122` `rem-cbrt-cube_binary64_102` `times-frac_binary64_84` `-rgt-identity_binary64_68` `-inverses_binary64_58`
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` `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` `rec-exp_binary64_128` `prod-exp_binary64_127` `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-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` `/-rgt-identity_binary64_69` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--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` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-*r/_binary64_20` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate-+l-_binary64_13`

Counts

97 → 220

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	3085
1	557	2760
2	2296	2720

prune548.0ms (2.2%)

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	208	12	220
Fresh	5	27	32
Picked	1	0	1
Done	0	0	0
Total	214	39	253

Error

29.9b

Counts

253 → 39

Compiler

Compiled 8603 to 4809 computations (44.1% saved)

regimes5.0s (20.2%)

Accuracy

Total 2.5b remaining (8.1%)

Threshold costs 0b (0%)

Compiler

Compiled 63899 to 48791 computations (23.6% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64_9`
3×	`sub-neg_binary64_71` `+-commutative_binary64_8`
2×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
1×	`cancel-sign-sub-inv_binary64_44` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36`
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` `unsub-neg_binary64_72` `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_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-in_binary64_35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	51
1	34	51
2	41	51
3	45	51
4	47	51

Proof

(* f64 2 (* f64 (sin f64 (* f64 1/180 (* f64 h0 (PI f64)))) (* f64 (cbrt f64 (pow f64 (cbrt f64 (pow f64 (log f64 (exp f64 (cos f64 (* f64 1/180 (* f64 h0 (PI f64)))))) 3)) 3)) (- f64 (* f64 h1 h1) (* f64 h2 h2)))))

end0.0ms (0%)

sample8.8s (35.8%)

Algorithm

1×

intervals

Results

778.0ms	1447×	body	1024	valid
665.0ms	1287×	body	1024	invalid
622.0ms	5173×	body	128	valid
476.0ms	729×	body	512	valid
295.0ms	80×	body	4096	valid
238.0ms	645×	body	512	invalid
178.0ms	195×	body	2048	valid
143.0ms	1168×	body	128	invalid
96.0ms	376×	body	256	valid
82.0ms	327×	body	256	invalid

Compiler

Compiled 6324 to 4816 computations (23.8% saved)

Details

analyze1.2s (4.7%)

sample135.0ms (0.5%)

simplify224.0ms (0.9%)

prune13.0ms (0.1%)

localize19.0ms (0.1%)

rewrite121.0ms (0.5%)

series1.2s (5%)

simplify321.0ms (1.3%)

prune375.0ms (1.5%)

localize18.0ms (0.1%)

rewrite125.0ms (0.5%)

series1.2s (5.1%)

simplify322.0ms (1.3%)

prune325.0ms (1.3%)

localize18.0ms (0.1%)

rewrite139.0ms (0.6%)

series1.3s (5.1%)

simplify436.0ms (1.8%)

prune676.0ms (2.7%)

localize23.0ms (0.1%)

rewrite158.0ms (0.6%)

series1.3s (5.3%)

simplify637.0ms (2.6%)

prune548.0ms (2.2%)

regimes5.0s (20.2%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample8.8s (35.8%)

Profiling