Details

analyze711.0ms (6.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

747×	`cube-prod_binary64_106`
498×	`sqr-pow_binary64_50`
420×	`associate-/l/_binary64_25`
366×	`pow-sqr_binary64_51`
321×	`unpow3_binary64_144`
318×	`cube-mult_binary64_108`
300×	`distribute-rgt-in_binary64_28`
297×	`cube-div_binary64_107`
288×	`swap-sqr_binary64_45`
264×	`associate-*l/_binary64_21`
258×	`associate-/r/_binary64_24`
254×	`associate-/l*_binary64_23`
252×	`distribute-lft-in_binary64_27`
180×	`*-commutative_binary64_9`
168×	`unswap-sqr_binary64_46`
153×	`associate-*r/_binary64_20`
123×	`associate-/r*_binary64_22`
108×	`times-frac_binary64_84`
96×	`associate-r_binary64_18`
93×	`associate-l_binary64_19`
73×	`mul0-rgt_binary64_61`
69×	`mul0-lft_binary64_60`
52×	`+-commutative_binary64_8`
15×	`pow-plus_binary64_141`
9×	`cube-unmult_binary64_115` `*-rgt-identity_binary64_68` `lft-mult-inverse_binary64_56`
6×	`/-rgt-identity_binary64_69` `-lft-identity_binary64_67` `+-rgt-identity_binary64_63` `-inverses_binary64_58` `remove-double-div_binary64_54`
3×	`unpow2_binary64_143` `unpow1/2_binary64_142` `unpow1_binary64_136` `distribute-rgt-out_binary64_31`
1×	`1-exp_binary64_122` `swap-re-im`
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` `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` `exp-prod_binary64_130` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-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` `div-sub_binary64_83` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `unsub-neg_binary64_72` `sub-neg_binary64_71` `mul-1-neg_binary64_70` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `div0_binary64_59` `+-inverses_binary64_57` `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-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-lft-out--_binary64_30` `distribute-lft-out_binary64_29` `count-2_binary64_26` `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	50	128
1	60	116
2	67	116
3	100	88
4	149	76
5	156	76
6	485	76
7	1295	76
8	1733	76
9	1790	76
10	2581	76
11	3733	76
12	4994	76
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
23.4%	51.5%	25.1%	7
24.2%	50.7%	25.1%	8
24.6%	50.3%	25.1%	9
36.9%	25.5%	37.6%	10
37.2%	25.3%	37.6%	11
37.3%	25.1%	37.6%	12
43.5%	12.7%	43.8%	13
43.6%	12.6%	43.8%	14

Symmetry

(sort re im)

Compiler

Compiled 29 to 21 computations (27.6% saved)

sample48.0ms (0.5%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
3.0ms	38×	body	128	nan

Compiler

Compiled 57 to 44 computations (22.8% saved)

simplify106.0ms (1%)

Algorithm

1×	egg-herbie

Rules

859×	`distribute-rgt-in_binary64_28`
620×	`associate-/l/_binary64_25`
591×	`pow-sqr_binary64_51`
557×	`cube-prod_binary64_106`
533×	`sqr-pow_binary64_50`
511×	`cube-div_binary64_107`
417×	`times-frac_binary64_84`
401×	`associate-/r/_binary64_24`
346×	`unpow3_binary64_144`
345×	`cube-mult_binary64_108`
181×	`swap-sqr_binary64_45`
162×	`distribute-lft-in_binary64_27`
81×	`associate-*l/_binary64_21`
78×	`*-commutative_binary64_9`
77×	`associate-/l*_binary64_23`
56×	`unswap-sqr_binary64_46`
51×	`mul0-rgt_binary64_61`
50×	`mul0-lft_binary64_60`
49×	`associate-*r/_binary64_20`
41×	`associate-/r*_binary64_22`
26×	`pow-plus_binary64_141`
25×	`associate-l_binary64_19`
24×	`associate-r_binary64_18`
16×	`*-inverses_binary64_58`
15×	`+-commutative_binary64_8`
14×	`remove-double-div_binary64_54`
12×	`/-rgt-identity_binary64_69`
11×	`lft-mult-inverse_binary64_56`
10×	`rem-sqrt-square_binary64_91`
9×	`unpow2_binary64_143`
5×	`unpow1_binary64_136` `*-rgt-identity_binary64_68` `distribute-rgt-out_binary64_31`
4×	`*-lft-identity_binary64_67` `+-rgt-identity_binary64_63`
3×	`cube-unmult_binary64_115`
2×	`unpow1/2_binary64_142` `+-lft-identity_binary64_62`
1×	`1-exp_binary64_122`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `log-prod_binary64_164` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `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` `exp-prod_binary64_130` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `div-sub_binary64_83` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `unsub-neg_binary64_72` `sub-neg_binary64_71` `mul-1-neg_binary64_70` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `div0_binary64_59` `+-inverses_binary64_57` `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-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-lft-out--_binary64_30` `distribute-lft-out_binary64_29` `count-2_binary64_26` `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: 4 (0.0ms)

Iter	Nodes	Cost
0	19	32
1	24	29
2	27	29
3	38	22
4	55	19
5	58	19
6	169	19
7	466	19
8	668	19
9	738	19
10	1132	19
11	1422	19
12	2240	19
13	3370	19
14	3918	19
15	4397	19
16	5740	19

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

33.5b

Counts

2 → 2

Compiler

Compiled 52 to 40 computations (23.1% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 re re) (.f64 im im))
0.4b	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
31.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

rewrite104.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

33.4b

Rules

24×	`times-frac_binary64_84`
22×	`log-pow_binary64_167`
21×	`pow1_binary64_139`
17×	`add-sqr-sqrt_binary64_100`
16×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `associate-/l*_binary64_23`
5×	`add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`sqrt-div_binary64_95` `associate-/r*_binary64_22`
3×	`flip3-+_binary64_81` `flip-+_binary64_52` `sqrt-prod_binary64_94`
2×	`log-div_binary64_165` `div-sub_binary64_83`
1×	`rem-sqrt-square_binary64_91` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

3 → 74

Calls

3 calls:

8.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
4.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
4.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1643 to 318 computations (80.6% saved)

series919.0ms (8.7%)

Error

0.6b

Counts

3 → 46

Calls

3 calls:

587.0ms	(/.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) (log.f64 base))
169.0ms	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
123.0ms	(+.f64 (.f64 re re) (.f64 im im))

Compiler

Compiled 1746 to 1418 computations (18.8% saved)

simplify132.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

535×	`times-frac_binary64_84`
347×	`associate-/l*_binary64_23`
334×	`associate-r_binary64_18`
304×	`associate-l_binary64_19`
237×	`associate-/r*_binary64_22`
191×	`sub-neg_binary64_71`
143×	`associate-*l/_binary64_21`
134×	`*-commutative_binary64_9`
123×	`associate-*r/_binary64_20`
115×	`neg-sub0_binary64_73`
104×	`neg-mul-1_binary64_74`
99×	`cancel-sign-sub-inv_binary64_44`
93×	`div-sub_binary64_83`
87×	`distribute-rgt-neg-in_binary64_36`
81×	`distribute-lft-neg-in_binary64_35`
77×	`unswap-sqr_binary64_46`
75×	`distribute-rgt-in_binary64_28`
63×	`associate-/l/_binary64_25`
58×	`distribute-lft-in_binary64_27`
57×	`+-commutative_binary64_8`
54×	`associate-/r/_binary64_24`
46×	`distribute-neg-frac_binary64_42`
45×	`unsub-neg_binary64_72`
44×	`associate-+r-_binary64_12`
40×	`log-div_binary64_165`
32×	`associate-+l-_binary64_13`
30×	`sqr-pow_binary64_50`
25×	`log-prod_binary64_164`
23×	`associate-+l+_binary64_11`
22×	`unpow3_binary64_144`
20×	`associate-+r+_binary64_10`
18×	`exp-prod_binary64_130`
15×	`cube-unmult_binary64_115` `cube-prod_binary64_106`
14×	`pow-plus_binary64_141`
12×	`associate--r-_binary64_17`
11×	`mul-1-neg_binary64_70` `distribute-neg-in_binary64_39` `distribute-lft-neg-out_binary64_37`
10×	`cube-div_binary64_107` `distribute-rgt-out_binary64_31` `associate--r+_binary64_14`
7×	`difference-of-squares_binary64_47` `distribute-rgt-out--_binary64_32` `associate--l+_binary64_15`
6×	`log-pow_binary64_167` `*-rgt-identity_binary64_68`
5×	`log-rec_binary64_166` `pow-sqr_binary64_51` `distribute-frac-neg_binary64_41`
4×	`cube-mult_binary64_108` `rem-sqrt-square_binary64_91` `/-rgt-identity_binary64_69` `remove-double-neg_binary64_66`
3×	`distribute-lft-out_binary64_29`
2×	`unpow2_binary64_143` `unpow1/2_binary64_142` `unpow1_binary64_136` `exp-sum_binary64_124` `cube-neg_binary64_105` `sqr-neg_binary64_92` `*-lft-identity_binary64_67` `+-rgt-identity_binary64_63` `distribute-rgt-neg-out_binary64_38` `associate--l-_binary64_16`
1×	`prod-exp_binary64_127` `exp-diff_binary64_126` `1-exp_binary64_122` `rem-square-sqrt_binary64_90` `div0_binary64_59` `+-inverses_binary64_57` `distribute-lft-out--_binary64_30` `count-2_binary64_26`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `*-inverses_binary64_58` `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` `swap-sqr_binary64_45` `cancel-sign-sub_binary64_43` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33`

Counts

120 → 72

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2599
1	408	2469
2	1085	2452
3	4407	2452
4	4959	2452
5	4946	2452

prune81.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	63	9	72
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	64	10	74

Error

0.5b

Counts

74 → 10

Compiler

Compiled 1350 to 490 computations (63.7% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (log.f64 im) (log.f64 base))

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

16×	`times-frac_binary64_84`
11×	`pow1_binary64_139` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
10×	`log-pow_binary64_167`
4×	`associate-/l_binary64_23` `associate-/r_binary64_22`
3×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
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 → 36

Calls

1 calls:

4.0ms

(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 426 to 119 computations (72.1% saved)

series368.0ms (3.5%)

Error

0.5b

Counts

1 → 6

Calls

1 calls:

364.0ms

(/.f64 (log.f64 im) (log.f64 base))

Compiler

Compiled 144 to 140 computations (2.8% saved)

simplify109.0ms (1%)

Algorithm

1×	egg-herbie

Rules

472×	`neg-sub0_binary64_73`
457×	`sub-neg_binary64_71`
436×	`neg-mul-1_binary64_74`
390×	`unsub-neg_binary64_72`
322×	`exp-sum_binary64_124`
320×	`distribute-rgt-neg-out_binary64_38`
316×	`times-frac_binary64_84`
287×	`distribute-frac-neg_binary64_41`
244×	`exp-diff_binary64_126`
211×	`associate-/l*_binary64_23`
197×	`log-prod_binary64_164`
194×	`associate-/l/_binary64_25`
186×	`div-sub_binary64_83`
178×	`exp-prod_binary64_130`
174×	`remove-double-neg_binary64_66`
170×	`sqr-pow_binary64_50`
169×	`log-div_binary64_165`
141×	`prod-exp_binary64_127`
136×	`distribute-neg-in_binary64_39`
131×	`associate-/r*_binary64_22`
125×	`distribute-rgt-in_binary64_28`
119×	`distribute-lft-in_binary64_27`
106×	`cube-div_binary64_107`
102×	`div-exp_binary64_129`
97×	`cube-prod_binary64_106`
80×	`associate-/r/_binary64_24`
78×	`associate-+r+_binary64_10`
76×	`associate--r+_binary64_14`
72×	`associate-*l/_binary64_21`
60×	`associate-+r-_binary64_12`
57×	`associate-l_binary64_19` `associate--r-_binary64_17`
56×	`associate-*r/_binary64_20`
48×	`associate-r_binary64_18`
40×	`distribute-neg-frac_binary64_42`
37×	`*-lft-identity_binary64_67`
36×	`cancel-sign-sub_binary64_43`
33×	`/-rgt-identity_binary64_69`
29×	`*-commutative_binary64_9`
27×	`pow-sqr_binary64_51` `swap-sqr_binary64_45`
26×	`+-commutative_binary64_8`
24×	`exp-to-pow_binary64_140` `cancel-sign-sub-inv_binary64_44`
23×	`log-pow_binary64_167`
22×	`*-rgt-identity_binary64_68`
20×	`log-rec_binary64_166` `mul-1-neg_binary64_70` `associate-+l+_binary64_11`
18×	`div0_binary64_59`
17×	`unpow3_binary64_144` `cube-neg_binary64_105` `associate-+l-_binary64_13`
16×	`mul0-lft_binary64_60` `distribute-lft-neg-out_binary64_37`
15×	`cube-mult_binary64_108`
14×	`unswap-sqr_binary64_46` `associate--l-_binary64_16`
11×	`unpow1/2_binary64_142` `associate--l+_binary64_15`
10×	`exp-neg_binary64_125` `rem-sqrt-square_binary64_91`
9×	`unpow-1_binary64_135` `rec-exp_binary64_128` `rem-log-exp_binary64_119` `mul0-rgt_binary64_61`
8×	`sqr-neg_binary64_92`
7×	`--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `distribute-neg-out_binary64_40`
6×	`sub0-neg_binary64_65`
5×	`pow-base-1_binary64_138` `cube-unmult_binary64_115` `+-rgt-identity_binary64_63`
4×	`pow-plus_binary64_141` `remove-double-div_binary64_54` `distribute-rgt-neg-in_binary64_36`
3×	`rem-exp-log_binary64_118` `distribute-lft-neg-in_binary64_35`
2×	`+-inverses_binary64_57`
1×	`log-E_binary64_168` `1-exp_binary64_122` `exp-1-e_binary64_121` `count-2_binary64_26`
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` `unpow0_binary64_137` `unpow1_binary64_136` `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-square-sqrt_binary64_90` `*-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` `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`

Counts

42 → 18

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	599
1	125	565
2	255	565
3	487	565
4	2503	564
5	3499	564
6	4217	564
7	4545	564
8	4850	564

prune31.0ms (0.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	14	14	28

Error

0.4b

Counts

28 → 14

Compiler

Compiled 372 to 198 computations (46.8% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 1 (log.f64 base))
0.3b	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
0.4b	(pow.f64 im (/.f64 1 (log.f64 base)))

rewrite101.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

24×	`times-frac_binary64_84`
23×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
16×	`pow-unpow_binary64_155`
12×	`pow1_binary64_139`
10×	`add-exp-log_binary64_116`
8×	`log-pow_binary64_167`
7×	`log-prod_binary64_164`
6×	`unpow-prod-down_binary64_157`
5×	`add-cbrt-cube_binary64_114`
4×	`associate-/r*_binary64_22`
3×	`add-log-exp_binary64_117` `rem-log-exp_binary64_119` `associate-/l*_binary64_23`
2×	`div-inv_binary64_75` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `sqr-pow_binary64_50` `div-exp_binary64_129`
1×	`pow-pow_binary64_150` `inv-pow_binary64_163` `pow-flip_binary64_152` `1-exp_binary64_122` `rec-exp_binary64_128` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77`

Counts

3 → 83

Calls

3 calls:

4.0ms	(pow.f64 im (/.f64 1 (log.f64 base)))
3.0ms	(/.f64 1 (log.f64 base))
2.0ms	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))

Compiler

Compiled 1133 to 709 computations (37.4% saved)

series1.1s (10.4%)

Error

0.4b

Counts

3 → 15

Calls

3 calls:

576.0ms	(log.f64 (pow.f64 im (/.f64 1 (log.f64 base))))
387.0ms	(pow.f64 im (/.f64 1 (log.f64 base)))
122.0ms	(/.f64 1 (log.f64 base))

Compiler

Compiled 444 to 423 computations (4.7% saved)

simplify119.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

486×	`distribute-rgt-in_binary64_28`
358×	`log-prod_binary64_164`
351×	`times-frac_binary64_84`
257×	`exp-prod_binary64_130`
178×	`unswap-sqr_binary64_46`
160×	`log-pow_binary64_167`
153×	`distribute-rgt-out_binary64_31`
146×	`div-sub_binary64_83`
141×	`log-div_binary64_165`
139×	`cancel-sign-sub-inv_binary64_44`
131×	`sqr-pow_binary64_50`
103×	`associate-l_binary64_19`
97×	`distribute-rgt-neg-out_binary64_38`
85×	`exp-to-pow_binary64_140`
83×	`associate-r_binary64_18`
77×	`distribute-lft-out_binary64_29` `associate-*r/_binary64_20`
74×	`associate-/l/_binary64_25`
69×	`sub-neg_binary64_71` `distribute-lft-neg-out_binary64_37`
65×	`pow-sqr_binary64_51`
61×	`associate-*l/_binary64_21`
55×	`*-commutative_binary64_9`
54×	`associate-/l*_binary64_23`
53×	`cube-prod_binary64_106`
42×	`distribute-rgt-neg-in_binary64_36`
41×	`unpow3_binary64_144`
39×	`swap-sqr_binary64_45`
38×	`cube-div_binary64_107` `distribute-neg-frac_binary64_42` `distribute-neg-in_binary64_39` `associate-/r*_binary64_22`
32×	`exp-sum_binary64_124` `distribute-lft-neg-in_binary64_35`
31×	`associate-/r/_binary64_24`
27×	`neg-sub0_binary64_73`
23×	`log-rec_binary64_166` `distribute-frac-neg_binary64_41`
22×	`cube-unmult_binary64_115` `distribute-rgt1-in_binary64_34`
20×	`neg-mul-1_binary64_74`
19×	`associate-+r-_binary64_12` `associate-+r+_binary64_10`
18×	`exp-diff_binary64_126` `unsub-neg_binary64_72` `distribute-rgt-out--_binary64_32` `distribute-lft-in_binary64_27`
17×	`*-rgt-identity_binary64_68`
15×	`pow-plus_binary64_141`
12×	`*-lft-identity_binary64_67`
11×	`+-commutative_binary64_8`
10×	`associate--r-_binary64_17`
9×	`rem-log-exp_binary64_119` `associate--r+_binary64_14` `associate-+l-_binary64_13`
8×	`cube-mult_binary64_108` `mul-1-neg_binary64_70` `count-2_binary64_26`
7×	`cube-neg_binary64_105` `distribute-neg-out_binary64_40`
6×	`distribute-lft1-in_binary64_33` `associate-+l+_binary64_11`
5×	`unpow1/2_binary64_142` `pow-base-1_binary64_138` `exp-sqrt_binary64_131` `rem-sqrt-square_binary64_91` `/-rgt-identity_binary64_69` `+-rgt-identity_binary64_63`
4×	`exp-lft-sqr_binary64_133` `exp-neg_binary64_125` `sub0-neg_binary64_65` `+-lft-identity_binary64_62`
3×	`prod-exp_binary64_127` `div0_binary64_59`
2×	`rem-exp-log_binary64_118` `sqr-neg_binary64_92` `remove-double-neg_binary64_66` `--rgt-identity_binary64_64` `+-inverses_binary64_57`
1×	`log-E_binary64_168` `unpow1_binary64_136` `rec-exp_binary64_128` `1-exp_binary64_122` `exp-1-e_binary64_121` `associate--l-_binary64_16`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow2_binary64_143` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `div-exp_binary64_129` `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-square-sqrt_binary64_90` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `*-inverses_binary64_58` `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-lft-out--_binary64_30` `associate--l+_binary64_15`

Counts

98 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	1156
1	219	1063
2	518	1037
3	1530	1025
4	4445	1025
5	4782	1025
6	4878	1025

prune65.0ms (0.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	61	4	65
Fresh	3	9	12
Picked	1	0	1
Done	0	1	1
Total	65	14	79

Error

0.4b

Counts

79 → 14

Compiler

Compiled 849 to 455 computations (46.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (log.f64 (cbrt.f64 im)) (/.f64 2 (log.f64 base)))
0.3b	(/.f64 2 (log.f64 base))
0.6b	(cbrt.f64 im)
0.6b	(cbrt.f64 im)

rewrite126.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

29×	`add-sqr-sqrt_binary64_100`
25×	`times-frac_binary64_84`
24×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
16×	`associate-r_binary64_18`
14×	`pow1_binary64_139`
11×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
9×	`log-pow_binary64_167`
6×	`cbrt-prod_binary64_109`
5×	`associate-l_binary64_19`
4×	`add-log-exp_binary64_117` `associate-/r*_binary64_22`
3×	`pow1/3_binary64_160` `associate-/l*_binary64_23`
2×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `div-inv_binary64_75` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
1×	`frac-2neg_binary64_89` `clear-num_binary64_77` `pow-prod-down_binary64_149` `associate-r/_binary64_20` `-commutative_binary64_9`

Counts

4 → 90

Calls

4 calls:

9.0ms	(*.f64 (log.f64 (cbrt.f64 im)) (/.f64 2 (log.f64 base)))
3.0ms	(/.f64 2 (log.f64 base))
1.0ms	(cbrt.f64 im)
1.0ms	(cbrt.f64 im)

Compiler

Compiled 1924 to 731 computations (62% saved)

series953.0ms (9%)

Error

0.4b

Counts

4 → 15

Calls

4 calls:

558.0ms	(*.f64 (log.f64 (cbrt.f64 im)) (/.f64 2 (log.f64 base)))
153.0ms	(/.f64 2 (log.f64 base))
116.0ms	(cbrt.f64 im)
113.0ms	(cbrt.f64 im)

Compiler

Compiled 804 to 613 computations (23.8% saved)

simplify100.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

481×	`associate-r_binary64_18`
420×	`log-prod_binary64_164`
272×	`associate-*l/_binary64_21`
267×	`associate-*r/_binary64_20`
228×	`associate-/l*_binary64_23`
173×	`*-commutative_binary64_9`
135×	`associate-+l+_binary64_11`
132×	`associate-+r+_binary64_10`
127×	`log-div_binary64_165`
117×	`times-frac_binary64_84`
97×	`associate-l_binary64_19`
90×	`div-sub_binary64_83`
81×	`distribute-rgt-in_binary64_28`
80×	`distribute-lft-in_binary64_27`
78×	`unswap-sqr_binary64_46`
77×	`cube-prod_binary64_106`
75×	`associate-/r*_binary64_22`
66×	`count-2_binary64_26`
65×	`cube-div_binary64_107`
63×	`exp-prod_binary64_130` `sqr-pow_binary64_50`
61×	`*-lft-identity_binary64_67`
60×	`distribute-rgt-out_binary64_31`
57×	`associate-/l/_binary64_25`
54×	`distribute-rgt-neg-in_binary64_36`
53×	`associate--r+_binary64_14`
52×	`swap-sqr_binary64_45`
50×	`sub-neg_binary64_71`
48×	`associate-/r/_binary64_24`
43×	`cancel-sign-sub-inv_binary64_44`
42×	`distribute-lft-neg-in_binary64_35`
38×	`distribute-neg-in_binary64_39`
34×	`log-pow_binary64_167` `*-rgt-identity_binary64_68` `distribute-rgt-neg-out_binary64_38`
31×	`associate-+r-_binary64_12`
25×	`/-rgt-identity_binary64_69`
24×	`exp-sum_binary64_124`
22×	`neg-sub0_binary64_73`
21×	`associate-+l-_binary64_13`
20×	`neg-mul-1_binary64_74` `associate--l+_binary64_15`
15×	`log-rec_binary64_166`
12×	`unpow3_binary64_144` `associate--r-_binary64_17`
11×	`cube-mult_binary64_108` `pow-sqr_binary64_51` `distribute-lft-out_binary64_29` `+-commutative_binary64_8`
10×	`distribute-frac-neg_binary64_41`
9×	`distribute-lft-neg-out_binary64_37`
8×	`cube-unmult_binary64_115`
7×	`exp-to-pow_binary64_140` `rem-sqrt-square_binary64_91`
5×	`distribute-neg-frac_binary64_42`
4×	`+-rgt-identity_binary64_63` `distribute-neg-out_binary64_40`
3×	`unpow1/3_binary64_145` `prod-exp_binary64_127` `cube-neg_binary64_105` `unsub-neg_binary64_72` `associate--l-_binary64_16`
2×	`pow-plus_binary64_141` `exp-lft-sqr_binary64_133` `div-exp_binary64_129` `rec-exp_binary64_128` `rem-exp-log_binary64_118` `mul-1-neg_binary64_70` `sub0-neg_binary64_65` `div0_binary64_59` `remove-double-div_binary64_54` `distribute-rgt1-in_binary64_34`
1×	`log-E_binary64_168` `unpow1/2_binary64_142` `unpow1_binary64_136` `exp-neg_binary64_125` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-log-exp_binary64_119` `rem-3cbrt-lft_binary64_103` `sqr-neg_binary64_92` `remove-double-neg_binary64_66` `+-lft-identity_binary64_62` `+-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` `pow-base-0_binary64_162` `unpow2_binary64_143` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-diff_binary64_126` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90` `--rgt-identity_binary64_64` `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` `distribute-lft1-in_binary64_33` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30`

Counts

105 → 58

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	133	1317
1	261	1160
2	851	1160
3	2985	1158
4	4680	1158
5	4937	1158

prune58.0ms (0.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	57	15	72

Error

0.4b

Counts

72 → 15

Compiler

Compiled 1044 to 387 computations (62.9% saved)

regimes1.9s (17.9%)

Accuracy

Total 6.8b remaining (96%)

Threshold costs 0b (0%)

Compiler

Compiled 8426 to 5926 computations (29.7% saved)

bsearch230.0ms (2.2%)

Steps

Iters	Range		Point
9	3.274410686485132e+78	2.984968137778786e+83	2.0625261815864652e+83
9	4.2648235422123596e-148	2.2580296408356425e-142	4.322908374335732e-148

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64_8`
2×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73` `sub-neg_binary64_71` `*-commutative_binary64_9`
1×	`distribute-neg-frac_binary64_42`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `unpow1_binary64_136` `e-exp-1_binary64_123` `1-exp_binary64_122` `exp-1-e_binary64_121` `exp-0_binary64_120` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `unsub-neg_binary64_72` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `cancel-sign-sub-inv_binary64_44` `cancel-sign-sub_binary64_43` `distribute-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	25	52
1	31	52
2	35	52
3	38	52
4	39	52
5	39	52

Compiler

Compiled 66 to 46 computations (30.3% saved)

end0.0ms (0%)

sample3.1s (29.4%)

Algorithm

1×

intervals

Results

781.0ms	8000×	body	128	valid
88.0ms	1008×	body	128	nan

Compiler

Compiled 1734 to 1219 computations (29.7% saved)

Details

analyze711.0ms (6.7%)

sample48.0ms (0.5%)

simplify106.0ms (1%)

prune6.0ms (0.1%)

localize11.0ms (0.1%)

rewrite104.0ms (1%)

series919.0ms (8.7%)

simplify132.0ms (1.2%)

prune81.0ms (0.8%)

localize6.0ms (0.1%)

rewrite39.0ms (0.4%)

series368.0ms (3.5%)

simplify109.0ms (1%)

prune31.0ms (0.3%)

localize9.0ms (0.1%)

rewrite101.0ms (1%)

series1.1s (10.4%)

simplify119.0ms (1.1%)

prune65.0ms (0.6%)

localize12.0ms (0.1%)

rewrite126.0ms (1.2%)

series953.0ms (9%)

simplify100.0ms (0.9%)

prune58.0ms (0.5%)

regimes1.9s (17.9%)

bsearch230.0ms (2.2%)

simplify16.0ms (0.2%)

end0.0ms (0%)

sample3.1s (29.4%)

Profiling