Details

analyze525.0ms (4%)

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)

sample51.0ms (0.4%)

Algorithm

1×

intervals

Results

13.0ms	128×	body	256	valid
9.0ms	46×	body	512	valid
8.0ms	284×	pre	128	true
4.0ms	82×	body	128	valid
1.0ms	28×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify339.0ms (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

54.4b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
30.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

rewrite175.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

51.2b

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:

15.0ms	(/.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)

series958.0ms (7.2%)

Error

0.2b

Counts

4 → 72

Calls

4 calls:

296.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
234.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
207.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
139.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3306 to 2519 computations (23.8% saved)

simplify134.0ms (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

prune161.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Error

0.2b

Counts

123 → 7

Compiler

Compiled 3018 to 1615 computations (46.5% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
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 (.f64 a a) (pow.f64 c 3))

rewrite604.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

112×	`add-exp-log_binary64_116`
54×	`prod-exp_binary64_127`
42×	`add-sqr-sqrt_binary64_100`
39×	`pow-to-exp_binary64_147` `pow-exp_binary64_146` `div-exp_binary64_129`
29×	`unpow-prod-down_binary64_157`
25×	`add-cbrt-cube_binary64_114`
22×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
19×	`associate-r_binary64_18` `times-frac_binary64_84` `associate-/r*_binary64_22`
16×	`unswap-sqr_binary64_46` `cube-prod_binary64_106`
15×	`sqr-pow_binary64_50`
13×	`associate-l_binary64_19`
8×	`cbrt-unprod_binary64_111`
5×	`cbrt-undiv_binary64_112`
4×	`pow1_binary64_139` `add-log-exp_binary64_117` `unpow3_binary64_144` `cube-mult_binary64_108`
2×	`-commutative_binary64_9` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23`

Counts

4 → 186

Calls

4 calls:

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

Compiler

Compiled 8847 to 5281 computations (40.3% saved)

series1.2s (9.2%)

Error

0.2b

Counts

4 → 30

Calls

4 calls:

502.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
311.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
191.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
147.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 3690 to 2656 computations (28% saved)

simplify148.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

399×	`associate-l_binary64_19`
323×	`associate-r_binary64_18`
302×	`times-frac_binary64_84`
301×	`associate-/l*_binary64_23`
266×	`log-div_binary64_165`
208×	`log-prod_binary64_164`
167×	`associate-/r*_binary64_22`
134×	`distribute-rgt-neg-in_binary64_36`
133×	`swap-sqr_binary64_45`
132×	`distribute-lft-neg-in_binary64_35`
128×	`cube-prod_binary64_106`
106×	`exp-prod_binary64_130`
96×	`*-commutative_binary64_9`
93×	`sqr-pow_binary64_50`
90×	`cancel-sign-sub-inv_binary64_44`
74×	`unswap-sqr_binary64_46`
72×	`associate-*l/_binary64_21`
57×	`associate-/l/_binary64_25`
55×	`log-pow_binary64_167`
49×	`*-rgt-identity_binary64_68`
47×	`cube-div_binary64_107`
38×	`associate-*r/_binary64_20`
37×	`sub-neg_binary64_71`
33×	`associate-/r/_binary64_24`
25×	`distribute-neg-frac_binary64_42` `distribute-rgt-in_binary64_28`
23×	`cube-unmult_binary64_115` `neg-mul-1_binary64_74` `neg-sub0_binary64_73`
21×	`*-lft-identity_binary64_67`
20×	`/-rgt-identity_binary64_69` `pow-sqr_binary64_51`
19×	`pow-plus_binary64_141`
18×	`rem-sqrt-square_binary64_91` `+-commutative_binary64_8`
16×	`log-rec_binary64_166` `associate--l+_binary64_15`
14×	`unpow3_binary64_144`
11×	`cube-mult_binary64_108`
7×	`distribute-neg-in_binary64_39`
6×	`distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `associate-+l+_binary64_11`
4×	`unpow2_binary64_143` `unpow1_binary64_136` `distribute-lft-out_binary64_29`
3×	`rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `rem-square-sqrt_binary64_90` `unsub-neg_binary64_72`
2×	`unpow1/2_binary64_142` `div-sub_binary64_83` `distribute-rgt-out_binary64_31` `count-2_binary64_26` `associate-+r+_binary64_10`
1×	`1-exp_binary64_122` `exp-1-e_binary64_121` `distribute-lft-out--_binary64_30`
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-in_binary64_27` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12`

Counts

216 → 150

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	3515
1	558	3190
2	3245	3175
3	4722	3175
4	4996	3175

prune361.0ms (2.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	150	7	157

Error

0.2b

Counts

157 → 7

Compiler

Compiled 6819 to 3994 computations (41.4% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(/.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))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite475.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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:

12.0ms	(/.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)

series865.0ms (6.5%)

Error

0.2b

Counts

4 → 27

Calls

4 calls:

350.0ms	(/.f64 (.f64 (.f64 a c) (*.f64 a c)) (pow.f64 b 3))
167.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
146.0ms	(pow.f64 (*.f64 a c) 3)
134.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4005 to 2847 computations (28.9% saved)

simplify89.0ms (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

prune417.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	151	7	158

Error

0.2b

Counts

158 → 7

Compiler

Compiled 7724 to 4650 computations (39.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
0.1b	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
0.2b	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
30.3b	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

rewrite371.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

70×	`times-frac_binary64_84`
60×	`*-un-lft-identity_binary64_78`
46×	`add-sqr-sqrt_binary64_100`
32×	`add-cube-cbrt_binary64_113`
26×	`associate-/l*_binary64_23`
18×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
14×	`difference-of-squares_binary64_47` `distribute-lft-out_binary64_29`
11×	`add-log-exp_binary64_117`
7×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
6×	`associate-/r/_binary64_24`
5×	`associate-/r*_binary64_22`
4×	`pow1_binary64_139` `div-inv_binary64_75` `flip3-+_binary64_81` `flip-+_binary64_52`
3×	`diff-log_binary64_170` `div-sub_binary64_83` `associate-/l/_binary64_25`
2×	`flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `associate--l+_binary64_15` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`associate--l-_binary64_16` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

4 → 135

Calls

4 calls:

18.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
15.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
9.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
8.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

Compiler

Compiled 6948 to 3195 computations (54% saved)

series1.1s (8.5%)

Error

0.0b

Counts

4 → 63

Calls

4 calls:

385.0ms	(/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
333.0ms	(/.f64 (/.f64 (-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b)) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
200.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
132.0ms	(-.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c))) (.f64 b b))

Compiler

Compiled 4072 to 2773 computations (31.9% saved)

simplify237.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1132×	`div-sub_binary64_83`
393×	`distribute-rgt-in_binary64_28`
175×	`associate-/l*_binary64_23`
171×	`sub-neg_binary64_71`
155×	`cancel-sign-sub-inv_binary64_44`
121×	`associate-/r*_binary64_22`
120×	`exp-prod_binary64_130`
114×	`distribute-rgt-neg-in_binary64_36`
113×	`*-commutative_binary64_9`
111×	`associate-/l/_binary64_25`
106×	`times-frac_binary64_84`
102×	`distribute-lft-neg-in_binary64_35`
87×	`distribute-neg-frac_binary64_42`
82×	`associate-/r/_binary64_24`
81×	`associate-l_binary64_19`
80×	`associate-r_binary64_18`
77×	`unswap-sqr_binary64_46`
74×	`associate-*l/_binary64_21`
72×	`distribute-lft-in_binary64_27`
71×	`neg-sub0_binary64_73` `distribute-neg-in_binary64_39`
68×	`neg-mul-1_binary64_74`
56×	`associate-*r/_binary64_20`
52×	`exp-diff_binary64_126`
51×	`exp-sum_binary64_124` `cube-prod_binary64_106`
45×	`sqr-pow_binary64_50` `+-commutative_binary64_8`
44×	`log-prod_binary64_164`
42×	`log-div_binary64_165`
34×	`cube-div_binary64_107`
29×	`unsub-neg_binary64_72`
26×	`associate--r+_binary64_14`
22×	`distribute-lft-neg-out_binary64_37` `associate-+r+_binary64_10`
21×	`*-rgt-identity_binary64_68` `distribute-rgt-out_binary64_31`
19×	`unpow3_binary64_144` `associate-+l+_binary64_11`
16×	`cube-mult_binary64_108`
13×	`distribute-rgt-neg-out_binary64_38`
11×	`/-rgt-identity_binary64_69` `difference-of-squares_binary64_47`
10×	`cube-unmult_binary64_115` `distribute-rgt-out--_binary64_32`
9×	`associate-+r-_binary64_12`
7×	`pow-plus_binary64_141` `distribute-frac-neg_binary64_41` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate-+l-_binary64_13`
6×	`sqr-neg_binary64_92` `+-rgt-identity_binary64_63` `swap-sqr_binary64_45` `distribute-lft-out_binary64_29`
5×	`div0_binary64_59`
4×	`unpow2_binary64_143` `cube-neg_binary64_105` `pow-sqr_binary64_51` `distribute-neg-out_binary64_40` `associate--r-_binary64_17`
3×	`log-rec_binary64_166` `exp-lft-sqr_binary64_133` `exp-sqrt_binary64_131` `div-exp_binary64_129` `prod-exp_binary64_127` `rem-sqrt-square_binary64_91` `mul-1-neg_binary64_70` `sub0-neg_binary64_65` `distribute-lft-out--_binary64_30`
2×	`log-pow_binary64_167` `unpow1/2_binary64_142` `unpow1_binary64_136` `remove-double-neg_binary64_66` `cancel-sign-sub_binary64_43`
1×	`1-exp_binary64_122` `rem-square-sqrt_binary64_90` `-lft-identity_binary64_67` `-inverses_binary64_58` `+-inverses_binary64_57`
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-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-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `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-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26`

Counts

198 → 172

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	8966
1	752	8210
2	2617	6703
3	4489	6703
4	6129	6703

prune308.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	168	4	172
Fresh	4	0	4
Picked	1	0	1
Done	1	1	2
Total	174	5	179

Error

Counts

179 → 5

Compiler

Compiled 6206 to 3094 computations (50.1% saved)

regimes1.1s (8.4%)

Accuracy

Total 0.4b remaining (99.1%)

Threshold costs 0.4b (99.1%)

Compiler

Compiled 12192 to 8174 computations (33% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64_9`
7×	`+-commutative_binary64_8`
6×	`sub-neg_binary64_71`
5×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
4×	`distribute-rgt-neg-in_binary64_36`
3×	`distribute-lft-neg-in_binary64_35`
2×	`cancel-sign-sub-inv_binary64_44`
1×	`distribute-lft-neg-out_binary64_37`
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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	33
1	27	33
2	37	33
3	49	33
4	57	33
5	62	33
6	64	33
7	64	33

end0.0ms (0%)

sample3.5s (26.2%)

Algorithm

1×

intervals

Results

386.0ms	3916×	body	256	valid
271.0ms	8912×	pre	128	true
208.0ms	1439×	body	512	valid
133.0ms	2645×	body	128	valid
41.0ms	912×	body	128	nan

Compiler

Compiled 3090 to 2075 computations (32.8% saved)

Details

analyze525.0ms (4%)

sample51.0ms (0.4%)

simplify339.0ms (2.6%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite175.0ms (1.3%)

series958.0ms (7.2%)

simplify134.0ms (1%)

prune161.0ms (1.2%)

localize29.0ms (0.2%)

rewrite604.0ms (4.6%)

series1.2s (9.2%)

simplify148.0ms (1.1%)

prune361.0ms (2.7%)

localize33.0ms (0.3%)

rewrite475.0ms (3.6%)

series865.0ms (6.5%)

simplify89.0ms (0.7%)

prune417.0ms (3.1%)

localize14.0ms (0.1%)

rewrite371.0ms (2.8%)

series1.1s (8.5%)

simplify237.0ms (1.8%)

prune308.0ms (2.3%)

regimes1.1s (8.4%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.5s (26.2%)

Profiling