Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	50%	25%	3
37.5%	25%	37.5%	4
43.7%	12.5%	43.8%	5
46.9%	6.2%	46.9%	6
48.4%	3.1%	48.5%	7
49.2%	1.6%	49.2%	8
49.6%	0.8%	49.6%	9
49.6%	0.4%	50%	10
49.7%	0.2%	50.1%	11
49.7%	0.1%	50.2%	12
49.7%	0%	50.2%	13
49.7%	0%	50.2%	14

Compiler

Compiled 5 to 4 computations (20% saved)

sample13.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify154.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_binary64_9

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-*l*_binary64_19 associate-*r*_binary64_18 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 +-commutative_binary64_8

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	5	6

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

1 → 1

Compiler

Compiled 4 to 3 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 x (log.f64 x))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`add-sqr-sqrt_binary64_100`
6×	`log-prod_binary64_164`
5×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`pow1_binary64_139` `associate-r_binary64_18`
3×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate-l_binary64_19`
1×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `log-pow_binary64_167` `*-commutative_binary64_9`

Counts

1 → 25

Calls

1 calls:

5.0ms

(*.f64 x (log.f64 x))

Compiler

Compiled 239 to 76 computations (68.2% saved)

series107.0ms (1.5%)

Error

0.2b

Counts

1 → 3

Calls

1 calls:

105.0ms

(*.f64 x (log.f64 x))

Compiler

Compiled 63 to 52 computations (17.5% saved)

simplify293.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

390×	`distribute-rgt-out_binary64_31`
384×	`distribute-rgt-neg-out_binary64_38`
343×	`distribute-rgt-out--_binary64_32`
290×	`associate-/l*_binary64_23`
243×	`associate--r+_binary64_14`
239×	`distribute-lft-neg-out_binary64_37`
199×	`associate-*l/_binary64_21`
146×	`unsub-neg_binary64_72`
145×	`distribute-lft-out--_binary64_30`
126×	`associate-l_binary64_19`
123×	`distribute-lft-out_binary64_29`
117×	`distribute-rgt-in_binary64_28`
109×	`distribute-lft-in_binary64_27`
107×	`cancel-sign-sub-inv_binary64_44`
100×	`exp-sum_binary64_124`
84×	`distribute-neg-out_binary64_40`
80×	`unswap-sqr_binary64_46`
79×	`exp-prod_binary64_130`
78×	`associate-r_binary64_18`
63×	`associate-/r*_binary64_22`
62×	`neg-sub0_binary64_73`
60×	`associate-/r/_binary64_24`
58×	`div-sub_binary64_83` `neg-mul-1_binary64_74`
57×	`associate-*r/_binary64_20`
51×	`sqr-pow_binary64_50` `distribute-neg-in_binary64_39`
46×	`distribute-frac-neg_binary64_41`
43×	`log-prod_binary64_164`
42×	`associate--r-_binary64_17`
40×	`distribute-rgt-neg-in_binary64_36`
37×	`swap-sqr_binary64_45`
36×	`exp-to-pow_binary64_140` `cube-prod_binary64_106`
35×	`exp-diff_binary64_126`
34×	`sub-neg_binary64_71`
33×	`*-commutative_binary64_9`
32×	`associate--l-_binary64_16`
31×	`distribute-lft-neg-in_binary64_35`
26×	`distribute-rgt1-in_binary64_34`
23×	`pow-sqr_binary64_51` `associate-/l/_binary64_25`
21×	`-rgt-identity_binary64_68` `-lft-identity_binary64_67`
18×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
17×	`log-div_binary64_165`
14×	`associate-+l+_binary64_11` `associate-+r+_binary64_10`
10×	`associate--l+_binary64_15` `associate-+l-_binary64_13` `associate-+r-_binary64_12`
8×	`exp-neg_binary64_125` `sqr-neg_binary64_92`
7×	`remove-double-neg_binary64_66`
6×	`prod-exp_binary64_127` `cube-neg_binary64_105` `times-frac_binary64_84`
5×	`log-pow_binary64_167` `unpow3_binary64_144` `cube-unmult_binary64_115` `cube-div_binary64_107` `count-2_binary64_26`
4×	`log-rec_binary64_166` `pow-plus_binary64_141` `+-commutative_binary64_8`
3×	`div-exp_binary64_129` `mul-1-neg_binary64_70` `+-rgt-identity_binary64_63` `+-inverses_binary64_57`
2×	`rem-exp-log_binary64_118` `/-rgt-identity_binary64_69` `sub0-neg_binary64_65` `distribute-neg-frac_binary64_42`
1×	`pow-base-1_binary64_138` `rec-exp_binary64_128` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-log-exp_binary64_119` `cube-mult_binary64_108` `+-lft-identity_binary64_62` `div0_binary64_59` `rgt-mult-inverse_binary64_55` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `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` `unpow2_binary64_143` `unpow1/2_binary64_142` `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` `e-exp-1_binary64_123` `exp-0_binary64_120` `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` `--rgt-identity_binary64_64` `*-inverses_binary64_58` `lft-mult-inverse_binary64_56` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `cancel-sign-sub_binary64_43`

Counts

28 → 38

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	299
1	94	261
2	270	255
3	474	255
4	1108	255

prune29.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Error

0.0b

Counts

39 → 4

Compiler

Compiled 404 to 121 computations (70% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite87.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_109`
23×	`add-sqr-sqrt_binary64_100`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`pow1_binary64_139`
9×	`pow1/3_binary64_160`
6×	`add-exp-log_binary64_116` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `unswap-sqr_binary64_46`
2×	`pow-prod-down_binary64_149` `pow-prod-up_binary64_148` `pow-sqr_binary64_51`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1378 to 372 computations (73% saved)

series494.0ms (7.1%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

138.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
118.0ms	(cbrt.f64 x)
112.0ms	(cbrt.f64 x)
112.0ms	(cbrt.f64 x)

Compiler

Compiled 591 to 385 computations (34.9% saved)

simplify319.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

545×	`log-prod_binary64_164`
427×	`log-div_binary64_165`
416×	`associate-/l*_binary64_23`
347×	`associate-l_binary64_19`
293×	`associate-/r*_binary64_22`
231×	`associate-r_binary64_18`
203×	`*-commutative_binary64_9`
184×	`associate-/r/_binary64_24`
150×	`distribute-rgt-neg-in_binary64_36`
144×	`distribute-lft-neg-in_binary64_35`
140×	`exp-prod_binary64_130`
128×	`distribute-rgt-in_binary64_28`
123×	`unswap-sqr_binary64_46`
112×	`cube-prod_binary64_106`
95×	`distribute-lft-in_binary64_27`
86×	`swap-sqr_binary64_45`
80×	`associate-/l/_binary64_25`
77×	`sqr-pow_binary64_50`
55×	`log-pow_binary64_167` `distribute-rgt-out_binary64_31`
52×	`times-frac_binary64_84`
47×	`cancel-sign-sub-inv_binary64_44`
42×	`associate-+l+_binary64_11`
39×	`associate-+r+_binary64_10`
38×	`associate-*l/_binary64_21`
37×	`pow-sqr_binary64_51`
30×	`distribute-lft-out_binary64_29`
29×	`cube-div_binary64_107`
28×	`distribute-neg-frac_binary64_42`
24×	`log-rec_binary64_166` `*-rgt-identity_binary64_68`
23×	`*-lft-identity_binary64_67`
22×	`pow-plus_binary64_141`
21×	`associate-*r/_binary64_20`
19×	`exp-sqrt_binary64_131`
18×	`rem-sqrt-square_binary64_91`
15×	`cube-unmult_binary64_115`
13×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
12×	`associate-+l-_binary64_13`
9×	`exp-lft-sqr_binary64_133` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37`
8×	`distribute-rgt1-in_binary64_34` `count-2_binary64_26`
6×	`unpow3_binary64_144` `associate--l-_binary64_16` `associate--l+_binary64_15`
5×	`associate-+r-_binary64_12` `+-commutative_binary64_8`
4×	`div-exp_binary64_129` `prod-exp_binary64_127` `distribute-rgt-out--_binary64_32`
3×	`unpow1/3_binary64_145` `unpow2_binary64_143` `sub-neg_binary64_71` `distribute-lft-out--_binary64_30`
2×	`unpow1_binary64_136` `rec-exp_binary64_128` `exp-sum_binary64_124` `cube-mult_binary64_108` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `/-rgt-identity_binary64_69` `distribute-lft1-in_binary64_33`
1×	`pow-base-1_binary64_138` `exp-diff_binary64_126` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-log-exp_binary64_119` `rem-3cbrt-rft_binary64_104` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `mul0-lft_binary64_60` `*-inverses_binary64_58` `distribute-neg-out_binary64_40`
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` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `div-sub_binary64_83` `unsub-neg_binary64_72` `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` `div0_binary64_59` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-in_binary64_39` `associate--r-_binary64_17` `associate--r+_binary64_14`

Counts

85 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	718
1	97	656
2	345	636
3	1343	633
4	4059	633

prune87.0ms (1.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	81	6	87

Error

0.0b

Counts

87 → 6

Compiler

Compiled 1651 to 494 computations (70.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
6.0b	(pow.f64 x (+.f64 1/3 1/3))

rewrite103.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`*-un-lft-identity_binary64_78`
13×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100`
12×	`pow-unpow_binary64_155`
9×	`cbrt-prod_binary64_109`
5×	`pow1_binary64_139` `add-exp-log_binary64_116`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114`
3×	`unpow-prod-down_binary64_157` `distribute-rgt-out_binary64_31` `distribute-lft-out_binary64_29` `pow1/3_binary64_160`
1×	`unpow-prod-up_binary64_156` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `pow-pow_binary64_150` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `sqr-pow_binary64_50`

Counts

4 → 60

Calls

4 calls:

5.0ms	(pow.f64 x (+.f64 1/3 1/3))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1601 to 791 computations (50.6% saved)

series467.0ms (6.7%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt.f64 x)
111.0ms	(pow.f64 x (+.f64 1/3 1/3))
109.0ms	(cbrt.f64 x)
109.0ms	(cbrt.f64 x)

Compiler

Compiled 879 to 609 computations (30.7% saved)

simplify1.5s (21.6%)

Algorithm

1×	egg-herbie

Rules

432×	`cancel-sign-sub-inv_binary64_44`
344×	`times-frac_binary64_84`
319×	`exp-sum_binary64_124`
248×	`unswap-sqr_binary64_46`
204×	`div-sub_binary64_83`
201×	`sqr-pow_binary64_50`
185×	`distribute-rgt-in_binary64_28`
174×	`associate-/r*_binary64_22`
149×	`distribute-lft-in_binary64_27`
144×	`exp-prod_binary64_130`
142×	`log-prod_binary64_164`
139×	`associate-*l/_binary64_21`
118×	`sub-neg_binary64_71`
115×	`associate-/l*_binary64_23`
112×	`pow-sqr_binary64_51`
110×	`associate-/r/_binary64_24`
96×	`associate-l_binary64_19` `*-commutative_binary64_9`
88×	`associate-+l+_binary64_11` `associate-+r+_binary64_10`
87×	`log-div_binary64_165` `associate-/l/_binary64_25`
74×	`distribute-rgt-out_binary64_31`
73×	`associate-r_binary64_18`
71×	`exp-diff_binary64_126`
67×	`distribute-lft-neg-in_binary64_35`
66×	`distribute-rgt-neg-in_binary64_36`
58×	`associate-*r/_binary64_20`
55×	`pow-plus_binary64_141` `unsub-neg_binary64_72`
54×	`neg-sub0_binary64_73`
53×	`neg-mul-1_binary64_74`
45×	`cube-prod_binary64_106`
39×	`exp-to-pow_binary64_140`
38×	`log-pow_binary64_167`
36×	`*-lft-identity_binary64_67` `swap-sqr_binary64_45`
35×	`cube-unmult_binary64_115` `associate--r+_binary64_14`
29×	`distribute-neg-in_binary64_39`
27×	`exp-sqrt_binary64_131`
26×	`distribute-lft-out_binary64_29`
25×	`prod-exp_binary64_127`
23×	`div-exp_binary64_129`
17×	`*-rgt-identity_binary64_68`
15×	`/-rgt-identity_binary64_69`
14×	`distribute-rgt1-in_binary64_34` `+-commutative_binary64_8`
12×	`count-2_binary64_26` `associate--l-_binary64_16`
11×	`cube-div_binary64_107`
10×	`rem-sqrt-square_binary64_91` `+-lft-identity_binary64_62` `associate--r-_binary64_17` `associate--l+_binary64_15`
9×	`distribute-lft1-in_binary64_33` `associate-+l-_binary64_13`
8×	`pow-base-1_binary64_138`
7×	`unpow1/3_binary64_145` `unpow3_binary64_144`
6×	`remove-double-neg_binary64_66` `distribute-lft-neg-out_binary64_37`
5×	`exp-lft-sqr_binary64_133` `sub0-neg_binary64_65` `+-rgt-identity_binary64_63` `distribute-neg-frac_binary64_42` `distribute-rgt-neg-out_binary64_38`
4×	`rec-exp_binary64_128` `cube-mult_binary64_108` `mul-1-neg_binary64_70` `associate-+r-_binary64_12`
2×	`log-rec_binary64_166` `exp-neg_binary64_125` `--rgt-identity_binary64_64`
1×	`unpow2_binary64_143` `unpow1_binary64_136` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-exp-log_binary64_118` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `*-inverses_binary64_58` `+-inverses_binary64_57` `remove-double-div_binary64_54`
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` `unpow1/2_binary64_142` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `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-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30`

Counts

72 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	470
1	137	453
2	324	441
3	948	434
4	3276	434

prune154.0ms (2.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	108	5	113

Error

0.0b

Counts

113 → 5

Compiler

Compiled 2840 to 1204 computations (57.6% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
4.5b	(pow.f64 (cbrt.f64 x) (+.f64 1/3 1/3))
6.0b	(pow.f64 x (+.f64 1/3 1/3))

rewrite170.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`pow-unpow_binary64_155`
23×	`*-un-lft-identity_binary64_78`
19×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100`
9×	`unpow-prod-down_binary64_157` `cbrt-prod_binary64_109`
6×	`distribute-rgt-out_binary64_31` `distribute-lft-out_binary64_29` `pow1_binary64_139` `add-exp-log_binary64_116`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114`
3×	`pow-pow_binary64_150` `pow1/3_binary64_160`
2×	`unpow-prod-up_binary64_156` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `sqr-pow_binary64_50`

Counts

4 → 80

Calls

4 calls:

5.0ms	(pow.f64 (cbrt.f64 x) (+.f64 1/3 1/3))
5.0ms	(pow.f64 x (+.f64 1/3 1/3))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2817 to 1520 computations (46% saved)

series597.0ms (8.6%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

235.0ms	(pow.f64 (cbrt.f64 x) (+.f64 1/3 1/3))
120.0ms	(pow.f64 x (+.f64 1/3 1/3))
114.0ms	(cbrt.f64 x)
108.0ms	(cbrt.f64 x)

Compiler

Compiled 1155 to 795 computations (31.2% saved)

simplify714.0ms (10.2%)

Algorithm

1×	egg-herbie

Rules

382×	`times-frac_binary64_84`
320×	`associate-/r*_binary64_22`
274×	`log-prod_binary64_164`
270×	`distribute-rgt-in_binary64_28`
224×	`associate-l_binary64_19`
217×	`log-div_binary64_165`
209×	`distribute-lft-in_binary64_27`
203×	`sqr-pow_binary64_50`
186×	`associate-*l/_binary64_21`
181×	`associate-r_binary64_18`
152×	`unswap-sqr_binary64_46`
129×	`associate-/l*_binary64_23`
127×	`associate-/r/_binary64_24`
126×	`distribute-lft-neg-in_binary64_35`
125×	`distribute-rgt-neg-in_binary64_36`
113×	`pow-sqr_binary64_51`
112×	`associate-/l/_binary64_25`
94×	`distribute-rgt-out_binary64_31` `associate-+l+_binary64_11`
91×	`exp-prod_binary64_130`
87×	`associate-+r+_binary64_10`
84×	`cancel-sign-sub-inv_binary64_44`
75×	`associate-*r/_binary64_20`
68×	`log-pow_binary64_167`
58×	`cube-prod_binary64_106`
42×	`cube-unmult_binary64_115`
40×	`pow-plus_binary64_141`
37×	`swap-sqr_binary64_45` `*-commutative_binary64_9`
35×	`distribute-neg-in_binary64_39`
33×	`associate--r+_binary64_14`
31×	`exp-sum_binary64_124` `distribute-lft-out_binary64_29`
25×	`count-2_binary64_26`
22×	`neg-sub0_binary64_73`
21×	`sub-neg_binary64_71`
20×	`neg-mul-1_binary64_74`
16×	`rem-sqrt-square_binary64_91`
15×	`distribute-rgt1-in_binary64_34`
14×	`div-sub_binary64_83` `+-commutative_binary64_8`
13×	`unpow1/3_binary64_145`
12×	`*-lft-identity_binary64_67` `associate--l-_binary64_16`
11×	`exp-diff_binary64_126`
10×	`distribute-lft-neg-out_binary64_37` `distribute-lft1-in_binary64_33` `associate--r-_binary64_17` `associate--l+_binary64_15`
9×	`/-rgt-identity_binary64_69` `distribute-rgt-neg-out_binary64_38` `associate-+l-_binary64_13`
7×	`*-rgt-identity_binary64_68`
6×	`distribute-neg-frac_binary64_42`
5×	`exp-to-pow_binary64_140` `prod-exp_binary64_127` `unsub-neg_binary64_72`
4×	`unpow3_binary64_144` `pow-base-1_binary64_138` `div-exp_binary64_129` `associate-+r-_binary64_12`
3×	`unpow2_binary64_143` `unpow1_binary64_136` `+-lft-identity_binary64_62`
2×	`log-rec_binary64_166` `rec-exp_binary64_128` `exp-neg_binary64_125` `+-rgt-identity_binary64_63`
1×	`exp-sqrt_binary64_131` `1-exp_binary64_122` `rem-exp-log_binary64_118` `cube-mult_binary64_108` `cube-div_binary64_107` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `mul-1-neg_binary64_70` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `*-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` `unpow1/2_binary64_142` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `cube-neg_binary64_105` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `--rgt-identity_binary64_64` `div0_binary64_59` `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-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30`

Counts

92 → 99

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	788
1	218	761
2	520	739
3	1687	732
4	4639	732

prune175.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	99	5	104

Error

0.0b

Counts

104 → 5

Compiler

Compiled 3248 to 1599 computations (50.8% saved)

regimes180.0ms (2.6%)

Accuracy

Total 0.3b remaining (98%)

Threshold costs 0.3b (98%)

Compiler

Compiled 1678 to 1146 computations (31.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1× *-commutative_binary64_9

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	5	6

Proof

(* f64 h0 (log f64 h0))

end0.0ms (0%)

sample1.2s (17.6%)

Algorithm

1×

intervals

Results

221.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 843 to 577 computations (31.6% saved)

Details

analyze4.0ms (0.1%)

sample13.0ms (0.2%)

simplify154.0ms (2.2%)

prune1.0ms (0%)

localize8.0ms (0.1%)

rewrite25.0ms (0.4%)

series107.0ms (1.5%)

simplify293.0ms (4.2%)

prune29.0ms (0.4%)

localize11.0ms (0.2%)

rewrite87.0ms (1.2%)

series494.0ms (7.1%)

simplify319.0ms (4.6%)

prune87.0ms (1.3%)

localize19.0ms (0.3%)

rewrite103.0ms (1.5%)

series467.0ms (6.7%)

simplify1.5s (21.6%)

prune154.0ms (2.2%)

localize25.0ms (0.4%)

rewrite170.0ms (2.4%)

series597.0ms (8.6%)

simplify714.0ms (10.2%)

prune175.0ms (2.5%)

regimes180.0ms (2.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (17.6%)

Profiling