Details

analyze440.0ms (7.9%)

Algorithm

1×	search
2×	egg-herbie

Rules

78×	`distribute-rgt-in_binary64_28` `associate-l_binary64_19`
62×	`distribute-lft-in_binary64_27`
58×	`unsub-neg_binary64_72`
55×	`sub-neg_binary64_71`
50×	`distribute-lft-neg-in_binary64_35`
43×	`distribute-rgt-neg-in_binary64_36`
39×	`associate-r_binary64_18`
35×	`*-commutative_binary64_9`
30×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
21×	`cancel-sign-sub-inv_binary64_44`
20×	`+-commutative_binary64_8`
19×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
18×	`sub0-neg_binary64_65` `--rgt-identity_binary64_64` `associate--r+_binary64_14` `associate-+l-_binary64_13`
7×	`distribute-rgt-neg-out_binary64_38`
4×	`unswap-sqr_binary64_46`
2×	`distribute-lft-neg-out_binary64_37`
1×	`swap-a-b`
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` `1-exp_binary64_122` `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` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `times-frac_binary64_84` `div-sub_binary64_83` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `div0_binary64_59` `-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` `swap-sqr_binary64_45` `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-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` `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_15` `associate-+r-_binary64_12` `associate-+l+_binary64_11` `associate-+r+_binary64_10`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	64	48
2	168	48
3	253	48
4	353	48
5	336	48
6	353	48
7	459	48
8	414	48
9	348	48
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
25%	62.4%	12.6%	8
37.4%	43.7%	18.9%	9
37.4%	43.7%	18.9%	10
49.9%	31.2%	18.9%	11
56.2%	20.3%	23.5%	12
56.2%	20.3%	23.5%	13
61.6%	14.8%	23.5%	14

Symmetry

(sort a b)

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	16×	body	128	invalid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

35×	`associate-l_binary64_19`
24×	`sub-neg_binary64_71` `distribute-rgt-in_binary64_28`
18×	`unsub-neg_binary64_72` `distribute-lft-in_binary64_27`
17×	`distribute-lft-neg-in_binary64_35`
16×	`associate-r_binary64_18`
15×	`distribute-rgt-neg-in_binary64_36`
14×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
12×	`*-commutative_binary64_9`
10×	`+-commutative_binary64_8`
8×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `associate--r+_binary64_14` `associate-+l-_binary64_13`
7×	`cancel-sign-sub-inv_binary64_44`
2×	`distribute-rgt-neg-out_binary64_38`
1×	`unswap-sqr_binary64_46` `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` `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` `1-exp_binary64_122` `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` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `times-frac_binary64_84` `div-sub_binary64_83` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `div0_binary64_59` `-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` `swap-sqr_binary64_45` `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-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` `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_15` `associate-+r-_binary64_12` `associate-+l+_binary64_11` `associate-+r+_binary64_10`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	21	12
2	55	12
3	97	12
4	129	12
5	138	12
6	147	12
7	173	12
8	182	12
9	176	12
10	142	12

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

18.2b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

6.8b	(.f64 (.f64 (*.f64 a a) b) b)
10.7b	(.f64 (.f64 a a) b)

rewrite61.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

16×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
9×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
6×	`associate-r_binary64_18`
5×	`add-sqr-sqrt_binary64_100`
4×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
2×	`add-log-exp_binary64_117` `associate-l_binary64_19` `*-commutative_binary64_9`
1×	`unswap-sqr_binary64_46`

Counts

2 → 40

Calls

2 calls:

8.0ms	(.f64 (.f64 (*.f64 a a) b) b)
7.0ms	(.f64 (.f64 a a) b)

Compiler

Compiled 554 to 161 computations (70.9% saved)

series201.0ms (3.6%)

Error

18.1b

Counts

2 → 12

Calls

2 calls:

108.0ms	(.f64 (.f64 (*.f64 a a) b) b)
85.0ms	(.f64 (.f64 a a) b)

Compiler

Compiled 288 to 273 computations (5.2% saved)

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

379×	`associate-*l/_binary64_21`
359×	`unswap-sqr_binary64_46`
358×	`associate-/l/_binary64_25`
342×	`associate-+l+_binary64_11`
320×	`associate-/l*_binary64_23`
272×	`sqr-pow_binary64_50`
266×	`associate-/r/_binary64_24`
226×	`associate-+r+_binary64_10`
218×	`*-commutative_binary64_9`
162×	`associate-l_binary64_19`
147×	`associate-/r*_binary64_22`
122×	`pow-sqr_binary64_51`
96×	`associate-r_binary64_18`
94×	`exp-prod_binary64_130`
89×	`log-prod_binary64_164` `distribute-lft-out_binary64_29`
76×	`distribute-rgt-in_binary64_28`
73×	`cube-prod_binary64_106`
57×	`distribute-lft-in_binary64_27`
54×	`times-frac_binary64_84`
46×	`rem-sqrt-square_binary64_91`
38×	`distribute-rgt-out_binary64_31`
33×	`swap-sqr_binary64_45` `associate-*r/_binary64_20`
28×	`*-rgt-identity_binary64_68`
26×	`unpow3_binary64_144`
22×	`*-lft-identity_binary64_67`
19×	`cube-mult_binary64_108` `+-commutative_binary64_8`
15×	`distribute-rgt1-in_binary64_34`
13×	`count-2_binary64_26`
11×	`pow-plus_binary64_141`
10×	`unpow1/2_binary64_142` `cube-unmult_binary64_115`
9×	`log-pow_binary64_167` `distribute-lft1-in_binary64_33`
7×	`log-div_binary64_165` `cube-div_binary64_107`
2×	`unpow2_binary64_143` `unpow1_binary64_136` `exp-sqrt_binary64_131`
1×	`exp-lft-sqr_binary64_133` `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` `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` `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` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `div-sub_binary64_83` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `unsub-neg_binary64_72` `sub-neg_binary64_71` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `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-inv_binary64_44` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12`

Counts

52 → 37

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	645
1	138	516
2	474	480
3	775	464
4	1511	461
5	2739	461
6	5066	461

prune40.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	30	7	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	8	38

Error

0.1b

Counts

38 → 8

Compiler

Compiled 440 to 165 computations (62.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (fabs.f64 (.f64 a b)) (fabs.f64 (*.f64 a b)))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

8×	`pow1_binary64_139`
7×	`add-sqr-sqrt_binary64_100`
5×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
3×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18`
1×	`pow2_binary64_159` `pow-prod-down_binary64_149` `pow-prod-up_binary64_148` `pow-plus_binary64_141` `prod-exp_binary64_127` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `sqr-abs_binary64_93` `pow-sqr_binary64_51` `unswap-sqr_binary64_46` `*-commutative_binary64_9`

Counts

1 → 26

Calls

1 calls:

4.0ms

(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

Compiler

Compiled 444 to 94 computations (78.8% saved)

series72.0ms (1.3%)

Error

0.1b

Counts

1 → 6

Calls

1 calls:

67.0ms

(*.f64 (fabs.f64 (*.f64 a b)) (fabs.f64 (*.f64 a b)))

Compiler

Compiled 126 to 119 computations (5.6% saved)

simplify87.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

478×	`distribute-rgt-in_binary64_28`
455×	`distribute-lft-in_binary64_27`
360×	`associate-/l*_binary64_23`
318×	`*-commutative_binary64_9`
306×	`sqr-pow_binary64_50`
253×	`associate-l_binary64_19`
249×	`log-div_binary64_165`
233×	`associate-/l/_binary64_25`
221×	`associate-/r/_binary64_24`
198×	`unswap-sqr_binary64_46`
173×	`swap-sqr_binary64_45`
171×	`associate-r_binary64_18`
160×	`log-prod_binary64_164`
153×	`exp-prod_binary64_130`
130×	`cube-prod_binary64_106`
108×	`pow-sqr_binary64_51`
54×	`associate-+l+_binary64_11`
51×	`associate-+r+_binary64_10`
43×	`-rgt-identity_binary64_68` `-lft-identity_binary64_67`
40×	`+-commutative_binary64_8`
38×	`times-frac_binary64_84`
33×	`rem-sqrt-square_binary64_91`
31×	`associate-*r/_binary64_20`
29×	`log-pow_binary64_167`
28×	`unpow3_binary64_144` `pow-plus_binary64_141`
27×	`distribute-rgt-out_binary64_31`
25×	`distribute-lft-out_binary64_29`
24×	`count-2_binary64_26`
22×	`cube-mult_binary64_108`
18×	`associate-/r*_binary64_22`
17×	`log-rec_binary64_166`
9×	`cube-unmult_binary64_115` `cube-div_binary64_107` `associate-*l/_binary64_21`
7×	`unpow1/2_binary64_142`
5×	`unpow2_binary64_143`
3×	`unpow1_binary64_136`
1×	`exp-lft-sqr_binary64_133` `exp-sqrt_binary64_131` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33`
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` `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-cube-cbrt_binary64_101` `sqr-neg_binary64_92` `div-sub_binary64_83` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `unsub-neg_binary64_72` `sub-neg_binary64_71` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `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-inv_binary64_44` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12`

Counts

32 → 27

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	388
1	60	326
2	180	311
3	743	293
4	1417	254
5	2234	230
6	4828	230
7	4981	230
8	5054	230

prune27.0ms (0.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	26	9	35

Error

0.1b

Counts

35 → 9

Compiler

Compiled 353 to 172 computations (51.3% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
0.2b	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
8.5b	(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite95.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

21×	`add-sqr-sqrt_binary64_100`
10×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`add-exp-log_binary64_116` `sqrt-prod_binary64_94`
8×	`unpow-prod-down_binary64_157`
7×	`associate-r_binary64_18`
6×	`pow1_binary64_139` `unswap-sqr_binary64_46` `associate-l_binary64_19`
5×	`add-cbrt-cube_binary64_114`
4×	`sqr-pow_binary64_50`
3×	`add-log-exp_binary64_117` `pow-unpow_binary64_155` `prod-exp_binary64_127`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `pow-prod-up_binary64_148`
1×	`rem-sqrt-square_binary64_91` `pow-pow_binary64_150` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

3 → 63

Calls

3 calls:

8.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
2.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
1.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 1332 to 480 computations (64% saved)

series392.0ms (7.1%)

Error

0.1b

Counts

3 → 18

Calls

3 calls:

251.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/2)
66.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/2))
63.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 612 to 426 computations (30.4% saved)

simplify95.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

616×	`associate-/l/_binary64_25`
441×	`sqr-pow_binary64_50`
433×	`*-commutative_binary64_9`
354×	`associate-l_binary64_19`
323×	`distribute-rgt-in_binary64_28`
316×	`distribute-lft-in_binary64_27`
237×	`associate-r_binary64_18`
179×	`associate-/l*_binary64_23`
176×	`log-prod_binary64_164`
174×	`exp-prod_binary64_130`
160×	`cube-prod_binary64_106`
155×	`pow-sqr_binary64_51`
144×	`times-frac_binary64_84`
115×	`swap-sqr_binary64_45`
72×	`distribute-lft-out_binary64_29`
70×	`distribute-rgt-out_binary64_31`
63×	`associate-/r/_binary64_24`
62×	`associate-/r*_binary64_22`
60×	`unswap-sqr_binary64_46`
55×	`associate-*r/_binary64_20`
52×	`pow-plus_binary64_141`
47×	`count-2_binary64_26`
44×	`rem-sqrt-square_binary64_91`
42×	`*-lft-identity_binary64_67`
40×	`unpow3_binary64_144`
39×	`*-rgt-identity_binary64_68`
37×	`cube-mult_binary64_108`
33×	`log-pow_binary64_167`
28×	`associate-+l+_binary64_11`
24×	`associate-+r+_binary64_10`
20×	`associate-*l/_binary64_21`
16×	`cube-unmult_binary64_115`
12×	`+-commutative_binary64_8`
8×	`/-rgt-identity_binary64_69`
6×	`unpow2_binary64_143` `unpow1/2_binary64_142` `pow-base-1_binary64_138`
5×	`distribute-rgt1-in_binary64_34`
3×	`distribute-lft1-in_binary64_33`
2×	`unpow1_binary64_136`
1×	`1-exp_binary64_122` `exp-1-e_binary64_121` `rem-cbrt-cube_binary64_102` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90`
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` `log-div_binary64_165` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `exp-to-pow_binary64_140` `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-div_binary64_107` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cube-cbrt_binary64_101` `sqr-neg_binary64_92` `div-sub_binary64_83` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `unsub-neg_binary64_72` `sub-neg_binary64_71` `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-inv_binary64_44` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12`

Counts

81 → 37

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	76	1283
1	138	1218
2	365	1112
3	1031	1106
4	1694	1091
5	3394	1085
6	5008	1085

prune48.0ms (0.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	4	2	6
Picked	0	1	1
Done	0	2	2
Total	37	9	46

Error

0.0b

Counts

46 → 9

Compiler

Compiled 652 to 279 computations (57.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/4))
4.8b	(pow.f64 (fabs.f64 (*.f64 a b)) 3/4)
4.8b	(pow.f64 (fabs.f64 (*.f64 a b)) (/.f64 3/2 2))
8.5b	(sqrt.f64 (fabs.f64 (*.f64 a b)))

rewrite161.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_100`
19×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
16×	`pow-unpow_binary64_155`
11×	`add-exp-log_binary64_116` `unpow-prod-down_binary64_157`
9×	`sqrt-prod_binary64_94` `times-frac_binary64_84`
8×	`pow1_binary64_139`
7×	`associate-r_binary64_18`
6×	`add-cbrt-cube_binary64_114` `unswap-sqr_binary64_46` `associate-l_binary64_19`
5×	`sqr-pow_binary64_50`
4×	`add-log-exp_binary64_117`
3×	`pow-to-exp_binary64_147` `pow-exp_binary64_146` `prod-exp_binary64_127`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `pow-pow_binary64_150` `pow-prod-up_binary64_148`
1×	`rem-sqrt-square_binary64_91` `div-inv_binary64_75` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

4 → 90

Calls

4 calls:

8.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/4))
4.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) (/.f64 3/2 2))
2.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/4)
1.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 2704 to 1205 computations (55.4% saved)

series1.0s (18.3%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

409.0ms	(.f64 (sqrt.f64 (fabs.f64 (.f64 a b))) (pow.f64 (fabs.f64 (*.f64 a b)) 3/4))
261.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) 3/4)
252.0ms	(pow.f64 (fabs.f64 (*.f64 a b)) (/.f64 3/2 2))
65.0ms	(sqrt.f64 (fabs.f64 (*.f64 a b)))

Compiler

Compiled 1548 to 984 computations (36.4% saved)

simplify179.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

711×	`unswap-sqr_binary64_46`
471×	`*-commutative_binary64_9`
371×	`times-frac_binary64_84`
304×	`associate-l_binary64_19`
285×	`sqr-pow_binary64_50`
229×	`associate-r_binary64_18`
227×	`distribute-rgt-in_binary64_28`
223×	`distribute-lft-in_binary64_27`
205×	`associate-/l/_binary64_25`
192×	`log-prod_binary64_164`
132×	`cube-prod_binary64_106`
129×	`exp-prod_binary64_130`
124×	`swap-sqr_binary64_45`
112×	`pow-sqr_binary64_51`
111×	`associate-/l*_binary64_23`
100×	`associate-/r_binary64_22` `associate-r/_binary64_20`
72×	`unpow3_binary64_144`
62×	`pow-plus_binary64_141`
45×	`cube-unmult_binary64_115`
37×	`associate-*l/_binary64_21`
33×	`-rgt-identity_binary64_68` `-lft-identity_binary64_67`
32×	`log-pow_binary64_167`
31×	`associate-/r/_binary64_24`
28×	`associate-+l+_binary64_11`
24×	`associate-+r+_binary64_10`
22×	`distribute-rgt-out_binary64_31`
13×	`cube-mult_binary64_108` `rem-sqrt-square_binary64_91` `distribute-lft-out_binary64_29`
10×	`/-rgt-identity_binary64_69`
7×	`count-2_binary64_26`
6×	`unpow1/2_binary64_142`
5×	`unpow2_binary64_143` `pow-base-1_binary64_138`
3×	`distribute-rgt1-in_binary64_34`
2×	`distribute-lft1-in_binary64_33` `+-commutative_binary64_8`
1×	`unpow1_binary64_136` `1-exp_binary64_122` `exp-1-e_binary64_121` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90`
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` `log-div_binary64_165` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `exp-to-pow_binary64_140` `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-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-neg_binary64_92` `div-sub_binary64_83` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `unsub-neg_binary64_72` `sub-neg_binary64_71` `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-inv_binary64_44` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12`

Counts

114 → 46

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	106	1864
1	216	1796
2	536	1788
3	1458	1732
4	3232	1732
5	4902	1732
6	4985	1732
7	4993	1726
8	4895	1726

prune62.0ms (1.1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	44	11	55

Error

0.0b

Counts

55 → 11

Compiler

Compiled 1120 to 493 computations (56% saved)

regimes736.0ms (13.3%)

Accuracy

Total 0.3b remaining (98.1%)

Threshold costs 0.3b (98.1%)

Compiler

Compiled 8289 to 5153 computations (37.8% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_9`
1×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73` `sub-neg_binary64_71` `+-commutative_binary64_8`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `unpow1_binary64_136` `e-exp-1_binary64_123` `1-exp_binary64_122` `exp-1-e_binary64_121` `exp-0_binary64_120` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `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-inv_binary64_44` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	12	9
2	14	9
3	15	9
4	15	9

Remove

(sort a b)

Compiler

Compiled 12 to 14 computations (-16.7% saved)

end0.0ms (0%)

sample1.7s (29.9%)

Algorithm

1×

intervals

Results

352.0ms	8000×	body	128	valid
13.0ms	498×	body	128	invalid

Compiler

Compiled 1332 to 834 computations (37.4% saved)

Iter	Nodes	Cost
0	19	48
1	64	48
2	168	48
3	253	48
4	353	48
5	336	48
6	353	48
7	459	48
8	414	48
9	348	48
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	12
1	21	12
2	55	12
3	97	12
4	129	12
5	138	12
6	147	12
7	173	12
8	182	12
9	176	12
10	142	12

Iter	Nodes	Cost
0	19	48
1	64	48
2	168	48
3	253	48
4	353	48
5	336	48
6	353	48
7	459	48
8	414	48
9	348	48
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	12
1	21	12
2	55	12
3	97	12
4	129	12
5	138	12
6	147	12
7	173	12
8	182	12
9	176	12
10	142	12

Details

analyze440.0ms (7.9%)

sample24.0ms (0.4%)

simplify14.0ms (0.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite61.0ms (1.1%)

series201.0ms (3.6%)

simplify66.0ms (1.2%)

prune40.0ms (0.7%)

localize5.0ms (0.1%)

rewrite29.0ms (0.5%)

series72.0ms (1.3%)

simplify87.0ms (1.6%)

prune27.0ms (0.5%)

localize10.0ms (0.2%)

rewrite95.0ms (1.7%)

series392.0ms (7.1%)

simplify95.0ms (1.7%)

prune48.0ms (0.9%)

localize15.0ms (0.3%)

rewrite161.0ms (2.9%)

series1.0s (18.3%)

simplify179.0ms (3.2%)

prune62.0ms (1.1%)

regimes736.0ms (13.3%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample1.7s (29.9%)

Profiling

Iter	Nodes	Cost
0	19	48
1	64	48
2	168	48
3	253	48
4	353	48
5	336	48
6	353	48
7	459	48
8	414	48
9	348	48
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	12
1	21	12
2	55	12
3	97	12
4	129	12
5	138	12
6	147	12
7	173	12
8	182	12
9	176	12
10	142	12