Details

analyze4.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
96.8%	3.1%	0.1%	6
98.3%	1.6%	0.1%	7
99.1%	0.8%	0.1%	8
99.5%	0.4%	0.1%	9
99.7%	0.2%	0.1%	10
99.8%	0.1%	0.1%	11
99.9%	0%	0.1%	12
99.9%	0%	0.1%	13
99.9%	0%	0.1%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample22.0ms (0.2%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify144.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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_9 +-commutative_binary64_8

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9

prune2.0ms (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

0.9b

Counts

1 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`times-frac_binary64_84`
10×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
5×	`pow1_binary64_139`
4×	`log-pow_binary64_167` `associate-/r*_binary64_22`
3×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `associate-/l*_binary64_23`
1×	`div-exp_binary64_129` `add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75`

Counts

1 → 31

Calls

1 calls:

3.0ms

(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 426 to 243 computations (43% saved)

series204.0ms (2%)

Error

0.9b

Counts

1 → 6

Calls

1 calls:

199.0ms

(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 108 to 93 computations (13.9% saved)

simplify269.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

376×	`neg-mul-1_binary64_74`
339×	`associate-/l*_binary64_23`
309×	`cube-prod_binary64_106`
307×	`times-frac_binary64_84`
287×	`associate-/l/_binary64_25`
283×	`exp-to-pow_binary64_140`
241×	`div-sub_binary64_83`
155×	`distribute-rgt-out--_binary64_32`
130×	`distribute-rgt-out_binary64_31`
128×	`distribute-frac-neg_binary64_41`
125×	`distribute-rgt-neg-out_binary64_38`
123×	`distribute-lft-neg-out_binary64_37`
119×	`associate-/r*_binary64_22`
103×	`associate-/r/_binary64_24`
100×	`*-commutative_binary64_9`
93×	`unswap-sqr_binary64_46`
88×	`exp-sum_binary64_124`
86×	`distribute-rgt-in_binary64_28`
83×	`exp-prod_binary64_130`
72×	`distribute-lft-in_binary64_27`
71×	`associate-l_binary64_19`
58×	`exp-diff_binary64_126`
55×	`associate-r_binary64_18`
48×	`associate-*l/_binary64_21`
46×	`sqr-pow_binary64_50` `swap-sqr_binary64_45`
41×	`*-lft-identity_binary64_67`
40×	`pow-plus_binary64_141`
39×	`log-prod_binary64_164` `cancel-sign-sub-inv_binary64_44`
38×	`log-pow_binary64_167`
36×	`cube-div_binary64_107` `associate-*r/_binary64_20`
32×	`sub-neg_binary64_71`
30×	`remove-double-div_binary64_54`
29×	`sqr-neg_binary64_92`
28×	`pow-sqr_binary64_51` `associate--l+_binary64_15`
27×	`unsub-neg_binary64_72`
26×	`log-div_binary64_165` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+l+_binary64_11`
25×	`cube-neg_binary64_105`
23×	`distribute-rgt-neg-in_binary64_36` `associate--l-_binary64_16` `associate-+r+_binary64_10`
21×	`*-rgt-identity_binary64_68`
18×	`associate--r-_binary64_17`
17×	`cube-unmult_binary64_115`
16×	`distribute-lft-neg-in_binary64_35`
15×	`associate-+r-_binary64_12`
13×	`pow-base-1_binary64_138` `distribute-neg-frac_binary64_42`
12×	`neg-sub0_binary64_73` `/-rgt-identity_binary64_69` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34`
11×	`log-rec_binary64_166` `distribute-lft-out_binary64_29`
10×	`exp-neg_binary64_125` `+-commutative_binary64_8`
9×	`div-exp_binary64_129` `prod-exp_binary64_127` `+-lft-identity_binary64_62`
8×	`distribute-lft-out--_binary64_30`
7×	`sub0-neg_binary64_65` `--rgt-identity_binary64_64`
5×	`unpow3_binary64_144`
4×	`exp-lft-sqr_binary64_133` `rem-log-exp_binary64_119` `+-inverses_binary64_57`
3×	`exp-lft-cube_binary64_134` `rec-exp_binary64_128` `distribute-neg-in_binary64_39` `count-2_binary64_26`
2×	`div0_binary64_59`
1×	`log-E_binary64_168` `exp-sqrt_binary64_131` `1-exp_binary64_122` `exp-1-e_binary64_121` `remove-double-neg_binary64_66` `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` `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-cbrt_binary64_132` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-exp-log_binary64_118` `cube-mult_binary64_108` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `+-rgt-identity_binary64_63` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `*-inverses_binary64_58` `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`

Counts

37 → 19

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	583
1	90	545
2	188	545
3	357	545
4	736	545
5	1542	545
6	3618	545

prune27.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	14	5	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	6	20

Error

0.1b

Counts

20 → 6

Compiler

Compiled 382 to 213 computations (44.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
5.2b	(cbrt.f64 (atan2.f64 im re))
5.2b	(cbrt.f64 (atan2.f64 im re))
5.2b	(cbrt.f64 (atan2.f64 im re))

rewrite215.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

46×	`associate-r_binary64_18`
42×	`times-frac_binary64_84`
34×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
30×	`cbrt-prod_binary64_109`
25×	`add-exp-log_binary64_116`
24×	`sqrt-prod_binary64_94`
16×	`add-cbrt-cube_binary64_114`
15×	`pow1_binary64_139`
10×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111`
6×	`log-pow_binary64_167`
5×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
4×	`add-log-exp_binary64_117`
3×	`pow1/3_binary64_160` `pow-prod-down_binary64_149` `associate-*r/_binary64_20`
1×	`frac-times_binary64_88` `associate-l/_binary64_21` `associate-l_binary64_19` `div-inv_binary64_75` `-commutative_binary64_9`

Counts

4 → 105

Calls

4 calls:

23.0ms	(.f64 (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
1.0ms	(cbrt.f64 (atan2.f64 im re))
1.0ms	(cbrt.f64 (atan2.f64 im re))
1.0ms	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 3429 to 1639 computations (52.2% saved)

series899.0ms (9%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

225.0ms	(cbrt.f64 (atan2.f64 im re))
223.0ms	(cbrt.f64 (atan2.f64 im re))
221.0ms	(cbrt.f64 (atan2.f64 im re))
206.0ms	(.f64 (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 1350 to 886 computations (34.4% saved)

simplify646.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

476×	`cancel-sign-sub-inv_binary64_44`
394×	`*-commutative_binary64_9`
353×	`unswap-sqr_binary64_46`
259×	`associate-l_binary64_19`
240×	`associate-/r/_binary64_24`
228×	`associate-/r*_binary64_22`
198×	`sqr-pow_binary64_50`
175×	`associate-r_binary64_18`
152×	`log-prod_binary64_164`
151×	`associate-*r/_binary64_20`
133×	`associate-*l/_binary64_21`
122×	`sub-neg_binary64_71`
121×	`cube-prod_binary64_106` `associate-/l*_binary64_23`
115×	`associate-+l+_binary64_11`
107×	`pow-sqr_binary64_51`
83×	`associate-+r+_binary64_10`
80×	`associate-/l/_binary64_25`
76×	`associate--l+_binary64_15`
75×	`log-div_binary64_165` `cube-div_binary64_107`
74×	`swap-sqr_binary64_45`
71×	`exp-prod_binary64_130`
57×	`associate-+l-_binary64_13`
54×	`unsub-neg_binary64_72`
51×	`*-rgt-identity_binary64_68`
48×	`*-lft-identity_binary64_67`
36×	`distribute-rgt-in_binary64_28` `associate-+r-_binary64_12`
35×	`unpow3_binary64_144`
34×	`times-frac_binary64_84` `distribute-lft-in_binary64_27` `associate--r+_binary64_14`
31×	`rem-sqrt-square_binary64_91`
28×	`cube-mult_binary64_108`
25×	`log-pow_binary64_167`
23×	`pow-plus_binary64_141` `neg-mul-1_binary64_74` `associate--r-_binary64_17` `associate--l-_binary64_16`
19×	`sub0-neg_binary64_65`
18×	`distribute-rgt-out_binary64_31`
16×	`cube-unmult_binary64_115` `/-rgt-identity_binary64_69`
14×	`neg-sub0_binary64_73`
13×	`distribute-neg-in_binary64_39`
11×	`count-2_binary64_26`
10×	`log-rec_binary64_166` `distribute-lft-out_binary64_29` `+-commutative_binary64_8`
9×	`div-exp_binary64_129` `prod-exp_binary64_127`
8×	`--rgt-identity_binary64_64`
5×	`+-lft-identity_binary64_62`
4×	`distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35`
3×	`rec-exp_binary64_128` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34`
2×	`exp-to-pow_binary64_140` `+-rgt-identity_binary64_63` `mul0-lft_binary64_60` `distribute-lft-neg-out_binary64_37`
1×	`unpow1/3_binary64_145` `pow-base-1_binary64_138` `exp-sum_binary64_124` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-log-exp_binary64_119` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-square-sqrt_binary64_90` `+-inverses_binary64_57` `rgt-mult-inverse_binary64_55` `distribute-rgt-neg-out_binary64_38` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `pow-base-0_binary64_162` `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` `exp-diff_binary64_126` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `div-sub_binary64_83` `mul-1-neg_binary64_70` `remove-double-neg_binary64_66` `mul0-rgt_binary64_61` `div0_binary64_59` `*-inverses_binary64_58` `lft-mult-inverse_binary64_56` `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-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-lft1-in_binary64_33`

Counts

129 → 270

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	3056
1	364	2384
2	1722	2384
3	2632	2303
4	4007	2303

prune512.0ms (5.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	265	5	270
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	266	10	276

Error

0.1b

Counts

276 → 10

Compiler

Compiled 7993 to 4759 computations (40.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.7b	(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (/.f64 1 (sqrt.f64 (log.f64 10))))

rewrite265.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

92×	`add-sqr-sqrt_binary64_100`
85×	`times-frac_binary64_84`
52×	`*-un-lft-identity_binary64_78`
51×	`sqrt-prod_binary64_94`
46×	`add-cube-cbrt_binary64_113`
26×	`add-exp-log_binary64_116`
25×	`associate-l_binary64_19` `associate-r_binary64_18`
16×	`add-cbrt-cube_binary64_114`
15×	`unswap-sqr_binary64_46`
14×	`pow1_binary64_139`
10×	`log-pow_binary64_167`
9×	`div-exp_binary64_129`
8×	`prod-exp_binary64_127`
7×	`associate-/r*_binary64_22`
5×	`cbrt-undiv_binary64_112`
4×	`cbrt-unprod_binary64_111`
3×	`div-inv_binary64_75` `associate-/l*_binary64_23`
2×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117`
1×	`pow-prod-down_binary64_149` `frac-times_binary64_88` `un-div-inv_binary64_76` `associate-l/_binary64_21` `associate-r/_binary64_20` `*-commutative_binary64_9` `frac-2neg_binary64_89` `clear-num_binary64_77`

Counts

2 → 133

Calls

2 calls:

23.0ms	(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (/.f64 1 (sqrt.f64 (log.f64 10))))
7.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

Compiler

Compiled 3185 to 2425 computations (23.9% saved)

series453.0ms (4.5%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

236.0ms	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
205.0ms	(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (/.f64 1 (sqrt.f64 (log.f64 10))))

Compiler

Compiled 378 to 345 computations (8.7% saved)

simplify643.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

452×	`*-commutative_binary64_9`
343×	`div-sub_binary64_83`
320×	`associate-/r/_binary64_24`
271×	`associate-/r*_binary64_22`
220×	`distribute-rgt-neg-out_binary64_38`
215×	`distribute-lft-neg-out_binary64_37`
174×	`associate-*r/_binary64_20`
164×	`associate-*l/_binary64_21`
154×	`sqr-pow_binary64_50`
148×	`associate-/l*_binary64_23`
144×	`associate-l_binary64_19`
116×	`log-div_binary64_165`
114×	`cube-prod_binary64_106`
109×	`cube-div_binary64_107`
105×	`associate-/l/_binary64_25`
103×	`log-prod_binary64_164`
96×	`associate-r_binary64_18`
90×	`sub-neg_binary64_71`
88×	`distribute-frac-neg_binary64_41`
84×	`swap-sqr_binary64_45`
71×	`exp-prod_binary64_130`
66×	`cancel-sign-sub-inv_binary64_44`
64×	`pow-sqr_binary64_51`
57×	`*-rgt-identity_binary64_68`
51×	`associate--r-_binary64_17`
47×	`/-rgt-identity_binary64_69`
46×	`unswap-sqr_binary64_46`
42×	`unsub-neg_binary64_72` `associate-+l-_binary64_13`
39×	`associate--r+_binary64_14`
37×	`times-frac_binary64_84`
33×	`associate--l-_binary64_16`
32×	`neg-mul-1_binary64_74`
31×	`unpow3_binary64_144`
30×	`cube-mult_binary64_108` `cancel-sign-sub_binary64_43`
28×	`associate--l+_binary64_15`
24×	`distribute-neg-out_binary64_40`
22×	`*-lft-identity_binary64_67` `distribute-rgt-neg-in_binary64_36` `distribute-rgt-in_binary64_28` `associate-+r-_binary64_12`
21×	`exp-to-pow_binary64_140`
20×	`neg-sub0_binary64_73` `distribute-neg-frac_binary64_42`
19×	`distribute-lft-neg-in_binary64_35`
18×	`log-rec_binary64_166` `exp-sum_binary64_124` `distribute-neg-in_binary64_39`
17×	`distribute-rgt-out_binary64_31`
15×	`associate-+r+_binary64_10`
14×	`log-pow_binary64_167`
13×	`pow-plus_binary64_141`
12×	`associate-+l+_binary64_11`
11×	`exp-diff_binary64_126` `sub0-neg_binary64_65` `distribute-rgt-out--_binary64_32`
10×	`rem-sqrt-square_binary64_91` `distribute-lft-in_binary64_27`
9×	`cube-unmult_binary64_115` `+-commutative_binary64_8`
7×	`+-lft-identity_binary64_62`
5×	`count-2_binary64_26`
4×	`pow-base-1_binary64_138` `remove-double-div_binary64_54` `distribute-rgt1-in_binary64_34`
3×	`sqr-neg_binary64_92` `remove-double-neg_binary64_66` `+-inverses_binary64_57`
2×	`cube-neg_binary64_105` `rem-square-sqrt_binary64_90` `+-rgt-identity_binary64_63` `div0_binary64_59` `distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29`
1×	`div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `rem-cbrt-cube_binary64_102` `sqr-abs_binary64_93` `--rgt-identity_binary64_64` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `*-inverses_binary64_58` `rgt-mult-inverse_binary64_55`
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` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cube-cbrt_binary64_101` `mul-1-neg_binary64_70` `lft-mult-inverse_binary64_56` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `distribute-lft1-in_binary64_33`

Counts

145 → 367

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	159	3650
1	393	3134
2	1471	2984
3	1977	2775
4	3014	2727

prune725.0ms (7.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	363	4	367
Fresh	3	4	7
Picked	1	0	1
Done	1	1	2
Total	368	9	377

Error

0.0b

Counts

377 → 9

Compiler

Compiled 9224 to 6701 computations (27.4% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
0.7b	(.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))) (/.f64 1 (sqrt.f64 (log.f64 10))))
1.0b	(/.f64 1 (log.f64 10))

rewrite239.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

47×	`times-frac_binary64_84`
45×	`add-sqr-sqrt_binary64_100`
44×	`associate-r_binary64_18`
37×	`*-un-lft-identity_binary64_78`
36×	`add-cube-cbrt_binary64_113`
31×	`add-exp-log_binary64_116` `sqrt-prod_binary64_94`
21×	`pow1_binary64_139`
19×	`add-cbrt-cube_binary64_114`
13×	`prod-exp_binary64_127`
10×	`log-pow_binary64_167`
7×	`cbrt-unprod_binary64_111`
6×	`div-exp_binary64_129`
4×	`associate-/r_binary64_22` `pow-prod-down_binary64_149` `associate-r/_binary64_20` `associate-l_binary64_19` `unswap-sqr_binary64_46`
3×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117` `cbrt-undiv_binary64_112` `div-inv_binary64_75` `associate-/l*_binary64_23` `sqrt-div_binary64_95`
2×	`*-commutative_binary64_9`
1×	`inv-pow_binary64_163` `pow-flip_binary64_152` `frac-2neg_binary64_89` `clear-num_binary64_77` `frac-times_binary64_88` `un-div-inv_binary64_76` `associate-*l/_binary64_21`

Counts

3 → 125

Calls

3 calls:

16.0ms	(.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))) (/.f64 1 (sqrt.f64 (log.f64 10))))
10.0ms	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
4.0ms	(/.f64 1 (log.f64 10))

Compiler

Compiled 2913 to 2441 computations (16.2% saved)

series460.0ms (4.6%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

251.0ms	(*.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10))))
201.0ms	(.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 1 (log.f64 10)))) (/.f64 1 (sqrt.f64 (log.f64 10))))
0.0ms	(/.f64 1 (log.f64 10))

Compiler

Compiled 378 to 345 computations (8.7% saved)

simplify795.0ms (8%)

Algorithm

1×	egg-herbie

Rules

429×	`*-commutative_binary64_9`
290×	`div-sub_binary64_83`
244×	`associate-/r/_binary64_24`
217×	`associate-/r*_binary64_22`
216×	`associate-l_binary64_19`
210×	`sqr-pow_binary64_50`
178×	`distribute-rgt-out--_binary64_32`
159×	`sub-neg_binary64_71`
158×	`distribute-rgt-neg-out_binary64_38`
156×	`distribute-lft-neg-out_binary64_37`
149×	`associate-r_binary64_18`
130×	`log-prod_binary64_164`
126×	`cube-prod_binary64_106`
114×	`log-div_binary64_165`
112×	`associate-*r/_binary64_20`
109×	`unswap-sqr_binary64_46`
106×	`exp-prod_binary64_130`
103×	`cube-div_binary64_107`
99×	`swap-sqr_binary64_45`
98×	`pow-sqr_binary64_51`
91×	`associate-/l*_binary64_23`
81×	`cancel-sign-sub-inv_binary64_44`
75×	`associate-*l/_binary64_21`
72×	`unsub-neg_binary64_72`
70×	`associate-+l-_binary64_13`
68×	`associate-/l/_binary64_25`
59×	`*-rgt-identity_binary64_68` `distribute-rgt-neg-in_binary64_36`
57×	`associate--l-_binary64_16`
51×	`associate--r-_binary64_17`
48×	`distribute-frac-neg_binary64_41`
46×	`*-lft-identity_binary64_67`
41×	`neg-mul-1_binary64_74` `distribute-lft-neg-in_binary64_35`
40×	`times-frac_binary64_84`
38×	`associate--r+_binary64_14`
37×	`/-rgt-identity_binary64_69`
34×	`associate-+r-_binary64_12`
30×	`unpow3_binary64_144`
29×	`exp-sum_binary64_124` `cube-mult_binary64_108`
28×	`associate--l+_binary64_15`
27×	`exp-to-pow_binary64_140` `sub0-neg_binary64_65` `distribute-neg-in_binary64_39`
25×	`distribute-rgt-in_binary64_28`
24×	`neg-sub0_binary64_73` `distribute-neg-out_binary64_40`
23×	`pow-plus_binary64_141`
21×	`associate-+r+_binary64_10`
18×	`rem-sqrt-square_binary64_91` `associate-+l+_binary64_11`
17×	`distribute-lft-in_binary64_27`
16×	`log-rec_binary64_166` `distribute-neg-frac_binary64_42`
14×	`log-pow_binary64_167` `exp-diff_binary64_126` `+-commutative_binary64_8`
13×	`distribute-rgt1-in_binary64_34`
11×	`cube-unmult_binary64_115` `+-lft-identity_binary64_62`
10×	`distribute-rgt-out_binary64_31`
7×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
5×	`distribute-lft-out--_binary64_30`
4×	`pow-base-1_binary64_138` `remove-double-neg_binary64_66` `count-2_binary64_26`
3×	`sqr-neg_binary64_92` `+-inverses_binary64_57`
2×	`rem-square-sqrt_binary64_90` `div0_binary64_59` `distribute-lft-out_binary64_29`
1×	`div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-cbrt-cube_binary64_102` `sqr-abs_binary64_93` `*-inverses_binary64_58` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `cancel-sign-sub_binary64_43`
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` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cube-cbrt_binary64_101` `mul-1-neg_binary64_70` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `lft-mult-inverse_binary64_56` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `distribute-lft1-in_binary64_33`

Counts

137 → 342

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	2776
1	379	2500
2	1440	2240
3	1888	2240
4	3134	2240

prune790.0ms (7.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	341	1	342
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	343	8	351

Error

0.0b

Counts

351 → 8

Compiler

Compiled 8360 to 6946 computations (16.9% saved)

regimes567.0ms (5.7%)

Accuracy

Total 0.8b remaining (99.3%)

Threshold costs 0.8b (99.3%)

Compiler

Compiled 6168 to 4852 computations (21.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64_9`
1×	`1-exp_binary64_122`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `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` `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` `+-commutative_binary64_8`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	24
1	17	24

Proof

(* f64 (* f64 (atan2 f64 h0 h1) (sqrt f64 (/ f64 1 (log f64 10)))) (/ f64 1 (sqrt f64 (log f64 10))))

end0.0ms (0%)

sample2.0s (20.2%)

Algorithm

1×

intervals

Results

292.0ms

8000×

body

128

valid

Compiler

Compiled 1528 to 1206 computations (21.1% saved)

Details

analyze4.0ms (0%)

sample22.0ms (0.2%)

simplify144.0ms (1.4%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite39.0ms (0.4%)

series204.0ms (2%)

simplify269.0ms (2.7%)

prune27.0ms (0.3%)

localize10.0ms (0.1%)

rewrite215.0ms (2.2%)

series899.0ms (9%)

simplify646.0ms (6.5%)

prune512.0ms (5.1%)

localize9.0ms (0.1%)

rewrite265.0ms (2.7%)

series453.0ms (4.5%)

simplify643.0ms (6.5%)

prune725.0ms (7.3%)

localize11.0ms (0.1%)

rewrite239.0ms (2.4%)

series460.0ms (4.6%)

simplify795.0ms (8%)

prune790.0ms (7.9%)

regimes567.0ms (5.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (20.2%)

Profiling