Details

analyze530.0ms (4.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

715×	`div-sub_binary64_83`
690×	`sub-neg_binary64_71`
581×	`neg-mul-1_binary64_74`
491×	`neg-sub0_binary64_73`
476×	`associate-/r*_binary64_22`
402×	`distribute-neg-frac_binary64_42`
321×	`distribute-rgt-neg-in_binary64_36`
280×	`distribute-rgt-neg-out_binary64_38`
252×	`distribute-lft-neg-out_binary64_37`
251×	`distribute-lft-neg-in_binary64_35`
232×	`+-commutative_binary64_8`
226×	`associate-/r/_binary64_24`
220×	`associate-/l*_binary64_23`
217×	`associate-*l/_binary64_21`
201×	`associate-+l-_binary64_13`
198×	`remove-double-neg_binary64_66`
195×	`distribute-rgt-in_binary64_28`
184×	`cancel-sign-sub-inv_binary64_44`
144×	`times-frac_binary64_84`
141×	`unsub-neg_binary64_72`
131×	`associate-/l/_binary64_25`
119×	`associate-*r/_binary64_20`
117×	`associate--r+_binary64_14`
106×	`distribute-lft-in_binary64_27`
93×	`distribute-frac-neg_binary64_41`
88×	`sub0-neg_binary64_65`
76×	`cancel-sign-sub_binary64_43`
72×	`*-lft-identity_binary64_67`
71×	`associate--l-_binary64_16`
68×	`distribute-neg-in_binary64_39`
63×	`*-commutative_binary64_9`
61×	`+-lft-identity_binary64_62`
57×	`associate--r-_binary64_17`
54×	`/-rgt-identity_binary64_69`
53×	`+-rgt-identity_binary64_63`
45×	`associate-r_binary64_18`
41×	`associate-+r-_binary64_12`
40×	`associate-+l+_binary64_11`
36×	`div0_binary64_59`
26×	`associate-l_binary64_19`
24×	`--rgt-identity_binary64_64`
18×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60` `associate--l+_binary64_15`
17×	`associate-+r+_binary64_10`
6×	`*-rgt-identity_binary64_68`
3×	`sqr-neg_binary64_92` `swap-sqr_binary64_45`
1×	`1-exp_binary64_122`
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` `unpow2_binary64_143` `unpow1/2_binary64_142` `pow-plus_binary64_141` `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` `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-unmult_binary64_115` `cube-mult_binary64_108` `cube-div_binary64_107` `cube-prod_binary64_106` `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` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `pow-sqr_binary64_51` `sqr-pow_binary64_50` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `unswap-sqr_binary64_46` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-rgt-out--_binary64_32` `distribute-rgt-out_binary64_31` `distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29` `count-2_binary64_26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	104
1	95	96
2	171	96
3	323	96
4	480	96
5	786	96
6	1384	96
7	2448	96
8	3546	96
9	4339	96
10	4614	96
11	4871	96
12	4961	96
13	5132	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample38.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	243×	body	128	valid
9.0ms	290×	pre	128	true
2.0ms	34×	body	128	nan
1.0ms	13×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify332.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1261×	`associate-/l*_binary64_23`
1150×	`div-sub_binary64_83`
772×	`distribute-rgt-in_binary64_28`
702×	`distribute-lft-in_binary64_27`
619×	`times-frac_binary64_84`
576×	`associate-/r*_binary64_22`
479×	`associate-/r/_binary64_24`
467×	`cancel-sign-sub-inv_binary64_44`
429×	`*-commutative_binary64_9`
426×	`sub-neg_binary64_71`
423×	`unsub-neg_binary64_72`
407×	`associate-/l/_binary64_25`
225×	`distribute-rgt-neg-in_binary64_36`
208×	`distribute-rgt-out--_binary64_32`
201×	`neg-mul-1_binary64_74`
197×	`distribute-lft-neg-in_binary64_35`
192×	`distribute-neg-frac_binary64_42`
188×	`associate-*l/_binary64_21`
163×	`neg-sub0_binary64_73`
156×	`distribute-rgt-out_binary64_31`
136×	`distribute-rgt-neg-out_binary64_38`
121×	`associate--r+_binary64_14`
112×	`+-commutative_binary64_8`
99×	`distribute-lft-neg-out_binary64_37`
80×	`distribute-lft-out_binary64_29`
77×	`associate--r-_binary64_17`
73×	`distribute-frac-neg_binary64_41`
72×	`distribute-lft-out--_binary64_30`
68×	`*-lft-identity_binary64_67` `distribute-neg-out_binary64_40`
66×	`associate-*r/_binary64_20`
62×	`mul0-rgt_binary64_61`
60×	`associate-r_binary64_18`
59×	`associate--l-_binary64_16`
55×	`div0_binary64_59`
54×	`mul0-lft_binary64_60`
51×	`associate-l_binary64_19`
33×	`remove-double-neg_binary64_66`
32×	`associate-+r-_binary64_12`
30×	`+-lft-identity_binary64_62`
28×	`/-rgt-identity_binary64_69` `associate--l+_binary64_15`
27×	`remove-double-div_binary64_54`
22×	`distribute-neg-in_binary64_39`
19×	`sub0-neg_binary64_65` `--rgt-identity_binary64_64`
17×	`*-rgt-identity_binary64_68`
14×	`mul-1-neg_binary64_70` `associate-+l+_binary64_11`
13×	`associate-+l-_binary64_13`
7×	`associate-+r+_binary64_10`
5×	`+-rgt-identity_binary64_63`
3×	`swap-sqr_binary64_45`
1×	`1-exp_binary64_122` `sqr-neg_binary64_92`
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` `unpow2_binary64_143` `unpow1/2_binary64_142` `pow-plus_binary64_141` `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` `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-unmult_binary64_115` `cube-mult_binary64_108` `cube-div_binary64_107` `cube-prod_binary64_106` `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` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `pow-sqr_binary64_51` `sqr-pow_binary64_50` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `unswap-sqr_binary64_46` `cancel-sign-sub_binary64_43` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	32	24
2	65	24
3	128	24
4	178	24
5	287	24
6	460	24
7	754	24
8	1120	24
9	1142	24
10	1799	24
11	2162	24
12	1953	24
13	2041	24
14	2105	24
15	2131	24
16	2843	24
17	2603	24
18	2841	24
19	2951	24
20	3071	24
21	3113	24
22	3183	24
23	3171	24
24	3171	24
25	2191	24
26	2141	24
27	2105	24
28	2107	24
29	2107	24
30	2107	24
31	2107	24
32	1834	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

29.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.3b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
29.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite149.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

27.5b

Rules

21×	`add-sqr-sqrt_binary64_100`
14×	`*-un-lft-identity_binary64_78`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113`
6×	`difference-of-squares_binary64_47` `sqrt-prod_binary64_94` `times-frac_binary64_84` `associate-/l*_binary64_23`
5×	`pow1_binary64_139`
4×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
3×	`distribute-lft-out--_binary64_30`
2×	`diff-log_binary64_170` `sub-neg_binary64_71` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-/l/_binary64_25` `sqrt-div_binary64_95`
1×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `div-sub_binary64_83` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/r*_binary64_22` `pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91`

Counts

4 → 74

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series975.0ms (7.8%)

Error

0.9b

Counts

4 → 72

Calls

4 calls:

294.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
240.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
204.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
151.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify131.0ms (1%)

Algorithm

1×	egg-herbie

Rules

794×	`times-frac_binary64_84`
230×	`distribute-rgt-in_binary64_28`
199×	`distribute-lft-in_binary64_27`
182×	`cancel-sign-sub-inv_binary64_44`
181×	`div-sub_binary64_83`
165×	`distribute-rgt-neg-in_binary64_36`
151×	`distribute-lft-neg-in_binary64_35`
127×	`exp-prod_binary64_130`
119×	`associate-r_binary64_18`
111×	`associate-l_binary64_19`
98×	`sub-neg_binary64_71`
92×	`*-commutative_binary64_9`
91×	`unswap-sqr_binary64_46`
80×	`associate-/l*_binary64_23`
71×	`neg-sub0_binary64_73`
69×	`neg-mul-1_binary64_74`
65×	`distribute-neg-frac_binary64_42`
63×	`distribute-neg-in_binary64_39`
58×	`associate-/r*_binary64_22`
52×	`sqr-pow_binary64_50`
45×	`+-commutative_binary64_8`
44×	`cube-prod_binary64_106`
31×	`distribute-rgt-out_binary64_31`
30×	`associate-*l/_binary64_21`
27×	`unsub-neg_binary64_72` `distribute-lft-neg-out_binary64_37` `associate-*r/_binary64_20`
25×	`exp-sum_binary64_124`
23×	`associate--r+_binary64_14`
22×	`associate-+r+_binary64_10`
20×	`associate-+l+_binary64_11`
17×	`unpow3_binary64_144`
16×	`exp-diff_binary64_126` `distribute-lft-out_binary64_29`
15×	`swap-sqr_binary64_45`
14×	`associate-/r/_binary64_24`
12×	`distribute-rgt-neg-out_binary64_38`
11×	`cube-mult_binary64_108`
10×	`cube-unmult_binary64_115`
9×	`associate-+r-_binary64_12`
8×	`pow-plus_binary64_141` `difference-of-squares_binary64_47`
7×	`+-rgt-identity_binary64_63`
6×	`rem-sqrt-square_binary64_91`
5×	`log-div_binary64_165` `unpow2_binary64_143` `mul-1-neg_binary64_70`
4×	`log-prod_binary64_164` `exp-sqrt_binary64_131` `pow-sqr_binary64_51`
3×	`unpow1/2_binary64_142` `unpow1_binary64_136` `exp-lft-sqr_binary64_133` `cube-div_binary64_107` `associate--l+_binary64_15` `associate-+l-_binary64_13`
2×	`log-pow_binary64_167` `div-exp_binary64_129` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `distribute-neg-out_binary64_40` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30`
1×	`prod-exp_binary64_127` `1-exp_binary64_122` `cube-neg_binary64_105` `rem-3cbrt-lft_binary64_103` `remove-double-neg_binary64_66` `div0_binary64_59` `*-inverses_binary64_58` `cancel-sign-sub_binary64_43` `associate--r-_binary64_17` `associate--l-_binary64_16`
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-rec_binary64_166` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `rec-exp_binary64_128` `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` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `+-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` `distribute-frac-neg_binary64_41` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `associate-/l/_binary64_25`

Counts

146 → 122

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	3603
1	550	3323
2	1858	3272
3	4753	3272
4	5207	3272

prune354.0ms (2.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	111	11	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	112	11	123

Error

0.6b

Counts

123 → 11

Compiler

Compiled 3141 to 1700 computations (45.9% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.3b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

rewrite641.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

155×	`add-exp-log_binary64_116`
72×	`prod-exp_binary64_127`
60×	`div-exp_binary64_129`
50×	`pow-to-exp_binary64_147` `pow-exp_binary64_146`
40×	`add-sqr-sqrt_binary64_100`
31×	`unpow-prod-down_binary64_157`
29×	`add-cbrt-cube_binary64_114`
26×	`times-frac_binary64_84` `associate-/r*_binary64_22`
23×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
15×	`sqr-pow_binary64_50`
12×	`unswap-sqr_binary64_46` `cube-prod_binary64_106` `associate-l_binary64_19`
8×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112`
7×	`associate-r_binary64_18`
4×	`pow1_binary64_139` `add-log-exp_binary64_117`
3×	`unpow3_binary64_144` `cube-mult_binary64_108` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l*_binary64_23`
1×	`*-commutative_binary64_9`

Counts

4 → 202

Calls

4 calls:

12.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
11.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9636 to 5744 computations (40.4% saved)

series1.5s (12%)

Error

0.6b

Counts

4 → 33

Calls

4 calls:

484.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
439.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
322.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
190.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 4059 to 2926 computations (27.9% saved)

simplify164.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

434×	`associate-/l*_binary64_23`
413×	`times-frac_binary64_84`
349×	`associate-l_binary64_19`
338×	`log-div_binary64_165`
296×	`associate-r_binary64_18`
247×	`associate-/r*_binary64_22`
190×	`log-prod_binary64_164`
120×	`cube-prod_binary64_106`
106×	`associate-/l/_binary64_25`
94×	`associate-*l/_binary64_21`
91×	`sqr-pow_binary64_50` `*-commutative_binary64_9`
83×	`exp-prod_binary64_130`
69×	`cube-div_binary64_107`
64×	`associate-*r/_binary64_20`
62×	`unswap-sqr_binary64_46`
58×	`sub-neg_binary64_71` `associate-/r/_binary64_24`
55×	`*-rgt-identity_binary64_68`
48×	`log-pow_binary64_167`
35×	`distribute-rgt-neg-in_binary64_36`
31×	`distribute-lft-neg-in_binary64_35`
29×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73` `cancel-sign-sub-inv_binary64_44`
26×	`cube-unmult_binary64_115` `associate--l+_binary64_15`
22×	`/-rgt-identity_binary64_69`
20×	`*-lft-identity_binary64_67` `+-commutative_binary64_8`
18×	`log-rec_binary64_166` `pow-plus_binary64_141`
17×	`swap-sqr_binary64_45`
16×	`rem-sqrt-square_binary64_91` `pow-sqr_binary64_51`
11×	`unpow3_binary64_144`
10×	`distribute-neg-frac_binary64_42`
9×	`associate-+l+_binary64_11`
8×	`cube-mult_binary64_108`
5×	`unsub-neg_binary64_72`
4×	`unpow2_binary64_143` `unpow1_binary64_136` `div-sub_binary64_83`
3×	`rem-square-sqrt_binary64_90` `distribute-lft-neg-out_binary64_37`
2×	`unpow1/2_binary64_142` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `count-2_binary64_26` `associate-+r+_binary64_10`
1×	`1-exp_binary64_122` `exp-1-e_binary64_121`
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` `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-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` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `mul-1-neg_binary64_70` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `*-inverses_binary64_58` `+-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` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-rgt-out--_binary64_32` `distribute-rgt-out_binary64_31` `distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12`

Counts

235 → 165

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	300	4201
1	636	3844
2	3930	3808
3	4779	3808
4	5089	3808

prune419.0ms (3.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	165	0	165
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	165	11	176

Error

0.6b

Counts

176 → 11

Compiler

Compiled 7577 to 4479 computations (40.9% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite499.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

80×	`add-exp-log_binary64_116`
46×	`pow1_binary64_139`
42×	`prod-exp_binary64_127`
39×	`add-cbrt-cube_binary64_114`
27×	`add-sqr-sqrt_binary64_100`
19×	`unpow-prod-down_binary64_157` `pow-prod-down_binary64_149`
18×	`cbrt-unprod_binary64_111`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `div-exp_binary64_129`
13×	`pow-exp_binary64_146`
12×	`pow-to-exp_binary64_147` `times-frac_binary64_84` `associate-/r*_binary64_22`
11×	`sqr-pow_binary64_50`
9×	`unswap-sqr_binary64_46`
8×	`associate-l_binary64_19` `associate-r_binary64_18`
7×	`cube-prod_binary64_106`
5×	`cbrt-undiv_binary64_112`
4×	`add-log-exp_binary64_117` `pow-prod-up_binary64_148` `pow-sqr_binary64_51`
3×	`pow-unpow_binary64_155` `unpow3_binary64_144` `cube-mult_binary64_108`
2×	`pow-pow_binary64_150` `rem-cube-cbrt_binary64_101` `pow-plus_binary64_141` `*-commutative_binary64_9`
1×	`pow2_binary64_159` `swap-sqr_binary64_45` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l*_binary64_23`

Counts

4 → 153

Calls

4 calls:

13.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
8.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 8467 to 4865 computations (42.5% saved)

series909.0ms (7.2%)

Error

0.6b

Counts

4 → 27

Calls

4 calls:

387.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
189.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
147.0ms	(pow.f64 (*.f64 a c) 3)
123.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4005 to 2847 computations (28.9% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

586×	`unswap-sqr_binary64_46`
576×	`associate-/r/_binary64_24`
271×	`times-frac_binary64_84`
222×	`associate-l_binary64_19`
207×	`associate-r_binary64_18`
200×	`log-prod_binary64_164`
179×	`associate-/l*_binary64_23`
148×	`swap-sqr_binary64_45`
136×	`exp-prod_binary64_130`
116×	`cube-prod_binary64_106`
109×	`associate-/r*_binary64_22`
88×	`sqr-pow_binary64_50`
64×	`distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35`
63×	`log-div_binary64_165` `*-commutative_binary64_9`
43×	`associate-/l/_binary64_25`
39×	`cube-div_binary64_107`
36×	`cancel-sign-sub-inv_binary64_44`
34×	`associate-*l/_binary64_21`
26×	`associate-*r/_binary64_20`
23×	`sub-neg_binary64_71`
22×	`distribute-rgt-in_binary64_28`
20×	`pow-sqr_binary64_51`
19×	`cube-unmult_binary64_115` `rem-sqrt-square_binary64_91`
18×	`log-pow_binary64_167` `distribute-neg-frac_binary64_42` `distribute-lft-in_binary64_27`
15×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73` `*-rgt-identity_binary64_68`
12×	`pow-plus_binary64_141` `*-lft-identity_binary64_67` `associate--l+_binary64_15`
10×	`unpow3_binary64_144`
9×	`associate-+l+_binary64_11` `+-commutative_binary64_8`
8×	`cube-mult_binary64_108` `count-2_binary64_26`
7×	`unpow1_binary64_136`
6×	`unpow2_binary64_143` `distribute-neg-in_binary64_39`
5×	`associate-+r+_binary64_10`
4×	`distribute-lft-neg-out_binary64_37`
3×	`unpow1/2_binary64_142` `rem-square-sqrt_binary64_90` `/-rgt-identity_binary64_69` `distribute-rgt-neg-out_binary64_38`
2×	`log-rec_binary64_166` `rem-cbrt-cube_binary64_102` `unsub-neg_binary64_72`
1×	`1-exp_binary64_122` `exp-1-e_binary64_121` `rem-cube-cbrt_binary64_101` `div-sub_binary64_83` `distribute-rgt-out_binary64_31` `distribute-lft-out_binary64_29`
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` `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-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` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `mul-1-neg_binary64_70` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `*-inverses_binary64_58` `+-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` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12`

Counts

180 → 151

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	2426
1	375	1944
2	2249	1914
3	5056	1914

prune433.0ms (3.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	148	14	162

Error

0.6b

Counts

162 → 14

Compiler

Compiled 7994 to 4842 computations (39.4% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))
0.3b	(.f64 a (.f64 c c))
0.3b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))

rewrite156.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

32×	`add-exp-log_binary64_116`
24×	`times-frac_binary64_84`
18×	`*-un-lft-identity_binary64_78`
17×	`add-cbrt-cube_binary64_114` `add-sqr-sqrt_binary64_100`
16×	`cancel-sign-sub-inv_binary64_44`
14×	`add-cube-cbrt_binary64_113`
12×	`prod-exp_binary64_127` `associate-/r*_binary64_22`
9×	`div-exp_binary64_129` `unpow-prod-down_binary64_157` `cube-prod_binary64_106`
8×	`pow1_binary64_139`
7×	`add-log-exp_binary64_117`
6×	`cbrt-unprod_binary64_111`
3×	`pow-to-exp_binary64_147` `pow-exp_binary64_146` `cbrt-undiv_binary64_112` `unpow3_binary64_144` `cube-mult_binary64_108` `sqr-pow_binary64_50` `pow-prod-down_binary64_149` `associate-l_binary64_19`
2×	`div-inv_binary64_75` `diff-log_binary64_170` `distribute-lft-out--_binary64_30`
1×	`frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l_binary64_23` `unswap-sqr_binary64_46` `associate-r_binary64_18` `-commutative_binary64_9` `neg-log_binary64_171` `distribute-neg-frac_binary64_42` `frac-sub_binary64_87` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `difference-of-squares_binary64_47` `distribute-rgt-neg-in_binary64_36` `neg-sub0_binary64_73` `associate--l-_binary64_16`

Counts

3 → 99

Calls

3 calls:

33.0ms	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))
10.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
6.0ms	(.f64 a (.f64 c c))

Compiler

Compiled 2121 to 809 computations (61.9% saved)

series842.0ms (6.7%)

Error

0.6b

Counts

3 → 33

Calls

3 calls:

445.0ms	(-.f64 (neg.f64 (/.f64 c b)) (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)))
289.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
84.0ms	(.f64 a (.f64 c c))

Compiler

Compiled 1158 to 885 computations (23.6% saved)

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

314×	`log-prod_binary64_164`
279×	`distribute-rgt-neg-in_binary64_36`
247×	`distribute-lft-neg-in_binary64_35`
226×	`distribute-neg-frac_binary64_42`
204×	`cancel-sign-sub-inv_binary64_44`
191×	`times-frac_binary64_84`
180×	`unswap-sqr_binary64_46`
175×	`log-div_binary64_165`
132×	`associate-/r*_binary64_22`
130×	`distribute-rgt-in_binary64_28`
127×	`distribute-lft-in_binary64_27`
123×	`associate-/l*_binary64_23`
122×	`associate-r_binary64_18`
116×	`associate-l_binary64_19`
105×	`distribute-lft-neg-out_binary64_37`
99×	`distribute-rgt-neg-out_binary64_38`
86×	`exp-prod_binary64_130`
78×	`div-sub_binary64_83` `*-commutative_binary64_9`
77×	`associate-*l/_binary64_21`
72×	`neg-sub0_binary64_73`
69×	`associate-*r/_binary64_20`
68×	`cube-prod_binary64_106`
63×	`neg-mul-1_binary64_74`
57×	`sub-neg_binary64_71`
49×	`distribute-frac-neg_binary64_41`
48×	`swap-sqr_binary64_45`
47×	`sqr-pow_binary64_50`
41×	`cube-div_binary64_107`
34×	`associate-/l/_binary64_25`
26×	`distribute-rgt-out_binary64_31`
21×	`unsub-neg_binary64_72`
20×	`associate-/r/_binary64_24`
18×	`log-pow_binary64_167` `+-commutative_binary64_8`
17×	`*-rgt-identity_binary64_68`
16×	`unpow3_binary64_144`
15×	`distribute-neg-out_binary64_40`
11×	`cube-mult_binary64_108`
10×	`distribute-neg-in_binary64_39`
9×	`pow-sqr_binary64_51`
8×	`pow-plus_binary64_141` `cube-unmult_binary64_115`
7×	`exp-diff_binary64_126` `rem-sqrt-square_binary64_91` `distribute-lft-out_binary64_29` `associate--l+_binary64_15`
6×	`div0_binary64_59` `distribute-rgt-out--_binary64_32`
5×	`log-rec_binary64_166` `exp-sum_binary64_124` `difference-of-squares_binary64_47` `distribute-rgt1-in_binary64_34` `associate-+l+_binary64_11`
4×	`remove-double-neg_binary64_66`
3×	`exp-neg_binary64_125` `cube-neg_binary64_105` `sqr-neg_binary64_92` `/-rgt-identity_binary64_69` `+-rgt-identity_binary64_63` `cancel-sign-sub_binary64_43` `associate-+r-_binary64_12` `associate-+r+_binary64_10`
2×	`rec-exp_binary64_128` `rem-square-sqrt_binary64_90` `associate-+l-_binary64_13`
1×	`unpow2_binary64_143` `unpow1/2_binary64_142` `unpow1_binary64_136` `div-exp_binary64_129` `prod-exp_binary64_127` `1-exp_binary64_122` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `mul-1-neg_binary64_70` `*-lft-identity_binary64_67` `sub0-neg_binary64_65` `distribute-lft-out--_binary64_30` `count-2_binary64_26` `associate--r+_binary64_14`
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` `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` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `rem-3cbrt-rft_binary64_104` `sqr-abs_binary64_93` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `*-inverses_binary64_58` `+-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` `distribute-lft1-in_binary64_33` `associate--r-_binary64_17` `associate--l-_binary64_16`

Counts

132 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	2171
1	407	2064
2	1928	2014
3	4574	2014
4	5155	2014

prune89.0ms (0.7%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	1	10	11
Picked	1	0	1
Done	0	2	2
Total	105	16	121

Error

0.5b

Counts

121 → 16

Compiler

Compiled 1717 to 551 computations (67.9% saved)

regimes964.0ms (7.7%)

Accuracy

Total 4.5b remaining (87.5%)

Threshold costs 0b (0%)

Compiler

Compiled 10904 to 7750 computations (28.9% saved)

bsearch8.0ms (0.1%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

23×	`*-commutative_binary64_9`
21×	`+-commutative_binary64_8`
18×	`sub-neg_binary64_71`
13×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
12×	`distribute-rgt-neg-in_binary64_36`
9×	`distribute-lft-neg-in_binary64_35`
5×	`cancel-sign-sub-inv_binary64_44`
3×	`distribute-lft-neg-out_binary64_37`
2×	`distribute-neg-frac_binary64_42`
1×	`unsub-neg_binary64_72`
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` `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-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	137
1	87	135
2	123	135
3	155	135
4	174	135
5	180	135
6	181	135
7	181	135

end0.0ms (0%)

sample3.1s (25%)

Algorithm

1×

intervals

Results

382.0ms	7697×	body	128	valid
275.0ms	8845×	pre	128	true
38.0ms	845×	body	128	nan
28.0ms	303×	body	256	valid

Compiler

Compiled 2836 to 2011 computations (29.1% saved)

Details

analyze530.0ms (4.2%)

sample38.0ms (0.3%)

simplify332.0ms (2.6%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite149.0ms (1.2%)

series975.0ms (7.8%)

simplify131.0ms (1%)

prune354.0ms (2.8%)

localize26.0ms (0.2%)

rewrite641.0ms (5.1%)

series1.5s (12%)

simplify164.0ms (1.3%)

prune419.0ms (3.3%)

localize31.0ms (0.2%)

rewrite499.0ms (4%)

series909.0ms (7.2%)

simplify86.0ms (0.7%)

prune433.0ms (3.4%)

localize12.0ms (0.1%)

rewrite156.0ms (1.2%)

series842.0ms (6.7%)

simplify107.0ms (0.8%)

prune89.0ms (0.7%)

regimes964.0ms (7.7%)

bsearch8.0ms (0.1%)

simplify8.0ms (0.1%)

end0.0ms (0%)

sample3.1s (25%)

Profiling