Details

analyze416.0ms (14.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

7×	`*-commutative_binary64_9`
4×	`associate-l_binary64_19` `associate-r_binary64_18` `+-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` `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` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `unsub-neg_binary64_72` `sub-neg_binary64_71` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `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` `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` `swap-sqr_binary64_45` `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-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` `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_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12` `associate-+l+_binary64_11` `associate-+r+_binary64_10`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	33	40
2	37	40
3	37	40
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
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_9`
1×	`associate-l_binary64_19` `associate-r_binary64_18` `+-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` `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` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `unsub-neg_binary64_72` `sub-neg_binary64_71` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `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` `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` `swap-sqr_binary64_45` `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-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` `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_14` `associate-+l-_binary64_13` `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	10
1	12	10
2	13	10
3	13	10

prune2.0ms (0.1%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 y z) z))
0.2b	(.f64 (.f64 y z) z)

rewrite36.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`add-log-exp_binary64_117`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `cbrt-unprod_binary64_111` `add-sqr-sqrt_binary64_100` `-un-lft-identity_binary64_78` `associate-r*_binary64_18`
1×	`associate-l_binary64_19` `*-commutative_binary64_9` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

2 → 29

Calls

2 calls:

5.0ms	(.f64 (.f64 y z) z)
3.0ms	(+.f64 x (.f64 (.f64 y z) z))

Compiler

Compiled 398 to 108 computations (72.9% saved)

series251.0ms (8.8%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

153.0ms	(+.f64 x (.f64 (.f64 y z) z))
84.0ms	(.f64 (.f64 y z) z)

Compiler

Compiled 373 to 330 computations (11.5% saved)

simplify117.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

556×	`distribute-rgt-in_binary64_28`
470×	`distribute-lft-in_binary64_27`
284×	`unswap-sqr_binary64_46`
220×	`*-commutative_binary64_9`
208×	`cancel-sign-sub-inv_binary64_44`
193×	`unsub-neg_binary64_72`
186×	`sub-neg_binary64_71`
180×	`distribute-rgt-neg-in_binary64_36`
164×	`log-prod_binary64_164`
152×	`+-commutative_binary64_8`
149×	`distribute-lft-neg-in_binary64_35`
146×	`neg-mul-1_binary64_74`
143×	`sqr-pow_binary64_50`
137×	`distribute-rgt-out_binary64_31`
122×	`associate-+l+_binary64_11`
115×	`associate-l_binary64_19` `associate-+r+_binary64_10`
84×	`associate-r_binary64_18`
77×	`times-frac_binary64_84`
75×	`neg-sub0_binary64_73`
74×	`distribute-neg-in_binary64_39`
68×	`log-div_binary64_165`
64×	`cube-prod_binary64_106`
63×	`exp-prod_binary64_130`
61×	`associate-+l-_binary64_13`
55×	`pow-sqr_binary64_51`
46×	`cancel-sign-sub_binary64_43`
43×	`difference-of-squares_binary64_47` `distribute-rgt-out--_binary64_32`
42×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
41×	`associate--r+_binary64_14`
36×	`swap-sqr_binary64_45`
34×	`div-sub_binary64_83` `associate-/l*_binary64_23`
33×	`cube-div_binary64_107` `sub0-neg_binary64_65`
31×	`rem-sqrt-square_binary64_91`
30×	`distribute-lft-out_binary64_29`
27×	`distribute-neg-out_binary64_40`
25×	`associate-/l/_binary64_25`
23×	`unpow3_binary64_144`
21×	`associate-*r/_binary64_20`
20×	`remove-double-neg_binary64_66` `associate-/r/_binary64_24` `associate-+r-_binary64_12`
18×	`*-rgt-identity_binary64_68`
17×	`cube-mult_binary64_108`
16×	`exp-sum_binary64_124`
14×	`distribute-lft-neg-out_binary64_37` `associate-/r*_binary64_22`
13×	`exp-diff_binary64_126` `*-lft-identity_binary64_67` `+-rgt-identity_binary64_63`
10×	`log-pow_binary64_167` `associate--l+_binary64_15`
8×	`unpow1/2_binary64_142` `sqr-neg_binary64_92`
7×	`cube-neg_binary64_105` `distribute-neg-frac_binary64_42` `count-2_binary64_26` `associate--r-_binary64_17`
6×	`pow-plus_binary64_141`
4×	`log-rec_binary64_166` `exp-sqrt_binary64_131` `cube-unmult_binary64_115` `distribute-rgt1-in_binary64_34` `distribute-lft-out--_binary64_30`
3×	`associate-*l/_binary64_21` `associate--l-_binary64_16`
2×	`unpow2_binary64_143` `exp-lft-sqr_binary64_133` `prod-exp_binary64_127` `+-lft-identity_binary64_62` `distribute-rgt-neg-out_binary64_38` `distribute-lft1-in_binary64_33`
1×	`unpow1_binary64_136` `1-exp_binary64_122` `exp-1-e_binary64_121` `--rgt-identity_binary64_64` `distribute-frac-neg_binary64_41`
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` `exp-neg_binary64_125` `e-exp-1_binary64_123` `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` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `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`

Counts

53 → 42

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	534
1	164	510
2	535	507
3	999	505
4	2011	505
5	4110	505
6	4512	505
7	4911	505
8	4953	505

prune28.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Error

0.0b

Counts

43 → 3

Compiler

Compiled 427 to 97 computations (77.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 (.f64 z z) y))
9.0b	(.f64 (.f64 z z) y)

rewrite31.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`add-log-exp_binary64_117` `add-sqr-sqrt_binary64_100`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `cbrt-unprod_binary64_111` `-un-lft-identity_binary64_78` `associate-r*_binary64_18`
1×	`unswap-sqr_binary64_46` `associate-l_binary64_19` `*-commutative_binary64_9` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 (.f64 z z) y)
3.0ms	(+.f64 x (.f64 (.f64 z z) y))

Compiler

Compiled 409 to 111 computations (72.9% saved)

series246.0ms (8.7%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

147.0ms	(+.f64 x (.f64 (.f64 z z) y))
86.0ms	(.f64 (.f64 z z) y)

Compiler

Compiled 373 to 330 computations (11.5% saved)

simplify86.0ms (3%)

Algorithm

1×	egg-herbie

Rules

674×	`unswap-sqr_binary64_46`
462×	`associate-l_binary64_19`
370×	`distribute-rgt-out_binary64_31`
322×	`associate-r_binary64_18`
276×	`cancel-sign-sub-inv_binary64_44`
255×	`distribute-rgt-in_binary64_28`
225×	`distribute-lft-in_binary64_27`
210×	`distribute-rgt-neg-in_binary64_36`
176×	`distribute-lft-neg-in_binary64_35`
97×	`sqr-pow_binary64_50` `associate-+l+_binary64_11`
96×	`*-commutative_binary64_9`
91×	`associate-+r+_binary64_10`
82×	`unsub-neg_binary64_72`
71×	`sub-neg_binary64_71`
69×	`distribute-rgt-out--_binary64_32`
62×	`log-prod_binary64_164`
55×	`neg-sub0_binary64_73`
54×	`neg-mul-1_binary64_74`
53×	`*-lft-identity_binary64_67`
50×	`*-rgt-identity_binary64_68`
45×	`exp-prod_binary64_130`
42×	`distribute-lft-out_binary64_29`
36×	`cube-prod_binary64_106` `distribute-lft-neg-out_binary64_37`
33×	`+-commutative_binary64_8`
22×	`pow-sqr_binary64_51`
18×	`distribute-rgt-neg-out_binary64_38`
14×	`unpow3_binary64_144` `associate-+l-_binary64_13`
12×	`sub0-neg_binary64_65` `associate-/l*_binary64_23`
11×	`log-pow_binary64_167` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `associate-+r-_binary64_12`
10×	`swap-sqr_binary64_45` `distribute-neg-out_binary64_40`
9×	`distribute-neg-in_binary64_39`
8×	`pow-plus_binary64_141` `cube-mult_binary64_108` `difference-of-squares_binary64_47`
7×	`cube-unmult_binary64_115` `+-rgt-identity_binary64_63` `distribute-lft-out--_binary64_30`
4×	`unpow1/2_binary64_142` `exp-sum_binary64_124` `rem-sqrt-square_binary64_91` `distribute-rgt1-in_binary64_34` `associate--r+_binary64_14`
3×	`count-2_binary64_26`
1×	`unpow2_binary64_143` `unpow1_binary64_136` `prod-exp_binary64_127` `1-exp_binary64_122` `exp-1-e_binary64_121` `remove-double-neg_binary64_66` `distribute-lft1-in_binary64_33` `associate-/l/_binary64_25` `associate-*r/_binary64_20` `associate--l+_binary64_15`
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` `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` `exp-diff_binary64_126` `exp-neg_binary64_125` `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-abs_binary64_93` `sqr-neg_binary64_92` `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_64` `+-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` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `associate-/r/_binary64_24` `associate-/r_binary64_22` `associate-*l/_binary64_21` `associate--r-_binary64_17` `associate--l-_binary64_16`

Counts

54 → 35

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	546
1	157	519
2	470	519
3	1424	519
4	3020	519
5	4970	519
6	4930	519

prune19.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	35	3	38

Error

0.0b

Counts

38 → 3

Compiler

Compiled 334 to 67 computations (79.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (cbrt.f64 (pow.f64 (.f64 (.f64 z z) y) 3)))
0.2b	(pow.f64 (.f64 (.f64 z z) y) 3)
9.0b	(.f64 (.f64 z z) y)
26.8b	(cbrt.f64 (pow.f64 (.f64 (.f64 z z) y) 3))

rewrite97.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
9×	`*-un-lft-identity_binary64_78`
8×	`cbrt-prod_binary64_109` `add-sqr-sqrt_binary64_100`
7×	`add-cube-cbrt_binary64_113`
6×	`add-log-exp_binary64_117` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
3×	`associate-r_binary64_18` `pow-unpow_binary64_155` `pow-pow_binary64_150` `pow-exp_binary64_146` `rem-cube-cbrt_binary64_101`
2×	`unpow-prod-down_binary64_157` `unpow3_binary64_144` `cube-mult_binary64_108` `cube-prod_binary64_106` `sqr-pow_binary64_50`
1×	`pow1/3_binary64_160` `rem-cbrt-cube_binary64_102` `unswap-sqr_binary64_46` `associate-l_binary64_19` `*-commutative_binary64_9` `pow-to-exp_binary64_147` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `+-commutative_binary64_8`

Counts

4 → 73

Calls

4 calls:

7.0ms	(+.f64 x (cbrt.f64 (pow.f64 (.f64 (.f64 z z) y) 3)))
6.0ms	(.f64 (.f64 z z) y)
6.0ms	(pow.f64 (.f64 (.f64 z z) y) 3)
2.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 z z) y) 3))

Compiler

Compiled 1243 to 537 computations (56.8% saved)

series516.0ms (18.2%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

174.0ms	(+.f64 x (cbrt.f64 (pow.f64 (.f64 (.f64 z z) y) 3)))
145.0ms	(pow.f64 (.f64 (.f64 z z) y) 3)
97.0ms	(cbrt.f64 (pow.f64 (.f64 (.f64 z z) y) 3))
78.0ms	(.f64 (.f64 z z) y)

Compiler

Compiled 767 to 688 computations (10.3% saved)

simplify92.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

396×	`log-prod_binary64_164`
328×	`associate-+l+_binary64_11`
284×	`exp-prod_binary64_130`
279×	`*-commutative_binary64_9`
263×	`distribute-rgt-in_binary64_28`
251×	`distribute-lft-in_binary64_27`
250×	`cube-prod_binary64_106`
229×	`unswap-sqr_binary64_46`
214×	`sqr-pow_binary64_50`
213×	`swap-sqr_binary64_45`
167×	`distribute-rgt-neg-in_binary64_36`
148×	`distribute-lft-neg-in_binary64_35`
144×	`cancel-sign-sub-inv_binary64_44`
126×	`associate-l_binary64_19`
102×	`associate-r_binary64_18`
98×	`unpow3_binary64_144`
91×	`associate-/l*_binary64_23`
66×	`distribute-rgt-out_binary64_31`
45×	`pow-sqr_binary64_51`
42×	`neg-sub0_binary64_73`
41×	`neg-mul-1_binary64_74` `sub-neg_binary64_71`
38×	`log-pow_binary64_167`
34×	`cube-mult_binary64_108`
32×	`distribute-lft-out_binary64_29`
18×	`distribute-rgt-out--_binary64_32`
16×	`pow-plus_binary64_141` `distribute-lft-neg-out_binary64_37` `count-2_binary64_26` `associate-+r+_binary64_10` `+-commutative_binary64_8`
14×	`associate-+l-_binary64_13`
12×	`*-rgt-identity_binary64_68` `associate-/l/_binary64_25`
11×	`cube-unmult_binary64_115` `rem-sqrt-square_binary64_91` `*-lft-identity_binary64_67` `associate-+r-_binary64_12`
10×	`unsub-neg_binary64_72` `distribute-rgt-neg-out_binary64_38`
7×	`associate-*r/_binary64_20`
6×	`distribute-lft-out--_binary64_30`
5×	`+-rgt-identity_binary64_63`
4×	`rem-cbrt-cube_binary64_102` `sub0-neg_binary64_65` `associate--r+_binary64_14`
3×	`unpow1/2_binary64_142` `associate-*l/_binary64_21`
2×	`unpow1_binary64_136` `mul-1-neg_binary64_70` `difference-of-squares_binary64_47` `distribute-neg-in_binary64_39` `associate-/r/_binary64_24`
1×	`unpow2_binary64_143` `prod-exp_binary64_127` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-3cbrt-lft_binary64_103` `sqr-abs_binary64_93` `associate--l+_binary64_15`
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` `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` `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-cube-cbrt_binary64_101` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `times-frac_binary64_84` `div-sub_binary64_83` `/-rgt-identity_binary64_69` `remove-double-neg_binary64_66` `--rgt-identity_binary64_64` `+-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` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `associate-/r_binary64_22` `associate--r-_binary64_17` `associate--l-_binary64_16`

Counts

109 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	1165
1	215	1093
2	774	1093
3	2113	1075
4	4913	1075
5	4960	1075

prune51.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	74	3	77

Error

0.0b

Counts

77 → 3

Compiler

Compiled 854 to 307 computations (64.1% saved)

regimes124.0ms (4.4%)

Accuracy

Total 0.1b remaining (71.8%)

Threshold costs 0.1b (71.8%)

Compiler

Compiled 825 to 620 computations (24.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_9`
1×	`+-commutative_binary64_8`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `unpow1_binary64_136` `e-exp-1_binary64_123` `1-exp_binary64_122` `exp-1-e_binary64_121` `exp-0_binary64_120` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `unsub-neg_binary64_72` `sub-neg_binary64_71` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `cancel-sign-sub-inv_binary64_44` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	10	10

end0.0ms (0%)

sample680.0ms (24%)

Algorithm

1×

intervals

Results

203.0ms	8000×	body	128	valid
15.0ms	634×	body	128	invalid

Compiler

Compiled 174 to 132 computations (24.1% saved)

Details

analyze416.0ms (14.6%)

sample17.0ms (0.6%)

simplify8.0ms (0.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite36.0ms (1.3%)

series251.0ms (8.8%)

simplify117.0ms (4.1%)

prune28.0ms (1%)

localize5.0ms (0.2%)

rewrite31.0ms (1.1%)

series246.0ms (8.7%)

simplify86.0ms (3%)

prune19.0ms (0.7%)

localize8.0ms (0.3%)

rewrite97.0ms (3.4%)

series516.0ms (18.2%)

simplify92.0ms (3.2%)

prune51.0ms (1.8%)

regimes124.0ms (4.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample680.0ms (24%)

Profiling