Details

analyze144.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

2×	`count-2_binary64_26` `associate-r_binary64_18` `*-commutative_binary64_9`
1×	`distribute-rgt-out_binary64_31` `associate-l_binary64_19`
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-lft-out--_binary64_30` `distribute-lft-out_binary64_29` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-*r/_binary64_20` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12` `associate-+l+_binary64_11` `associate-+r+_binary64_10` `+-commutative_binary64_8`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	9	9
2	12	9
3	13	9
4	13	9
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0.1%	14

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`count-2_binary64_26` `associate-r_binary64_18` `*-commutative_binary64_9`
1×	`distribute-rgt-out_binary64_31` `associate-l_binary64_19`
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-lft-out--_binary64_30` `distribute-lft-out_binary64_29` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-*r/_binary64_20` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12` `associate-+l+_binary64_11` `associate-+r+_binary64_10` `+-commutative_binary64_8`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	9	9
2	12	9
3	13	9
4	13	9

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

32.3b

Counts

2 → 1

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

31.1b

(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

15.8b

Rules

4×	`pow1_binary64_139`
2×	`sqrt-pow1_binary64_96` `associate-*r/_binary64_20` `sqrt-div_binary64_95`
1×	`pow1/2_binary64_158` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `pow-prod-down_binary64_149` `flip3-+_binary64_81` `flip-+_binary64_52` `sqrt-prod_binary64_94` `*-un-lft-identity_binary64_78`

Counts

1 → 13

Calls

1 calls:

9.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 161 to 50 computations (68.9% saved)

series46.0ms (1.2%)

Error

0.3b

Counts

1 → 3

Calls

1 calls:

42.0ms

(sqrt.f64 (*.f64 x (+.f64 x x)))

Compiler

Compiled 42 to 40 computations (4.8% saved)

simplify76.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

594×	`distribute-rgt-neg-in_binary64_36`
533×	`unsub-neg_binary64_72`
481×	`distribute-lft-neg-in_binary64_35`
403×	`neg-sub0_binary64_73`
401×	`neg-mul-1_binary64_74`
312×	`sub-neg_binary64_71`
293×	`distribute-lft-out_binary64_29`
274×	`distribute-rgt-out_binary64_31`
246×	`distribute-lft-neg-out_binary64_37`
240×	`cancel-sign-sub-inv_binary64_44`
237×	`distribute-neg-in_binary64_39`
235×	`*-commutative_binary64_9`
213×	`associate-l_binary64_19`
188×	`distribute-rgt-neg-out_binary64_38`
184×	`associate-r_binary64_18`
150×	`distribute-rgt-in_binary64_28`
130×	`associate--r+_binary64_14`
123×	`distribute-lft-out--_binary64_30`
106×	`unswap-sqr_binary64_46`
103×	`distribute-lft-in_binary64_27`
92×	`associate--l+_binary64_15`
84×	`swap-sqr_binary64_45`
78×	`associate-+r-_binary64_12`
68×	`distribute-rgt-out--_binary64_32`
66×	`+-commutative_binary64_8`
65×	`associate-+l-_binary64_13`
61×	`associate--r-_binary64_17`
52×	`distribute-neg-out_binary64_40`
40×	`associate--l-_binary64_16`
34×	`distribute-rgt1-in_binary64_34`
31×	`remove-double-neg_binary64_66`
27×	`sqr-pow_binary64_50`
24×	`count-2_binary64_26`
21×	`associate-+l+_binary64_11`
20×	`difference-of-squares_binary64_47`
17×	`associate-+r+_binary64_10`
15×	`cube-prod_binary64_106`
12×	`mul0-lft_binary64_60`
11×	`pow-plus_binary64_141` `sub0-neg_binary64_65` `mul0-rgt_binary64_61` `+-inverses_binary64_57`
9×	`cube-unmult_binary64_115` `rem-sqrt-square_binary64_91` `+-rgt-identity_binary64_63`
8×	`distribute-lft1-in_binary64_33`
7×	`--rgt-identity_binary64_64`
6×	`*-lft-identity_binary64_67`
5×	`sqr-neg_binary64_92`
4×	`log-prod_binary64_164` `exp-prod_binary64_130`
3×	`unpow3_binary64_144`
2×	`unpow2_binary64_143` `exp-diff_binary64_126` `exp-sum_binary64_124` `*-rgt-identity_binary64_68`
1×	`unpow1/2_binary64_142` `unpow1_binary64_136` `1-exp_binary64_122` `exp-1-e_binary64_121` `cube-mult_binary64_108` `cube-neg_binary64_105` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `pow-sqr_binary64_51` `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` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-div_binary64_107` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `times-frac_binary64_84` `div-sub_binary64_83` `/-rgt-identity_binary64_69` `+-lft-identity_binary64_62` `div0_binary64_59` `-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` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-*r/_binary64_20`

Counts

16 → 6

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	35	155
1	67	143
2	126	140
3	336	140
4	1155	140
5	2396	140
6	4359	140
7	5009	140

prune8.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	4	3	7

Error

16.6b

Counts

7 → 3

Compiler

Compiled 56 to 40 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.5b	(*.f64 x (sqrt.f64 2))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

16.5b

Rules

8×	`add-sqr-sqrt_binary64_100`
6×	`associate-r_binary64_18`
4×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `sqrt-prod_binary64_94`
3×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `associate-l_binary64_19`
2×	`unswap-sqr_binary64_46`
1×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

1 → 22

Calls

1 calls:

5.0ms

(*.f64 x (sqrt.f64 2))

Compiler

Compiled 228 to 188 computations (17.5% saved)

series47.0ms (1.2%)

Error

16.6b

Counts

1 → 3

Calls

1 calls:

45.0ms

(*.f64 x (sqrt.f64 2))

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

860×	`unswap-sqr_binary64_46`
330×	`associate-l_binary64_19`
278×	`associate-*l/_binary64_21`
249×	`*-commutative_binary64_9`
228×	`cube-div_binary64_107`
224×	`log-div_binary64_165`
222×	`associate-r_binary64_18`
213×	`associate-*r/_binary64_20`
192×	`associate-+l+_binary64_11`
173×	`associate-/l/_binary64_25`
154×	`associate-/l*_binary64_23`
133×	`sqr-pow_binary64_50`
131×	`cube-prod_binary64_106`
122×	`log-prod_binary64_164`
102×	`associate-/r/_binary64_24`
72×	`associate-+r+_binary64_10`
66×	`associate-/r*_binary64_22`
64×	`exp-prod_binary64_130`
45×	`pow-sqr_binary64_51`
29×	`unsub-neg_binary64_72`
28×	`cube-unmult_binary64_115` `*-lft-identity_binary64_67`
23×	`distribute-lft-out_binary64_29`
22×	`pow-plus_binary64_141`
21×	`times-frac_binary64_84` `*-rgt-identity_binary64_68` `distribute-rgt-out_binary64_31`
18×	`unpow3_binary64_144` `cube-mult_binary64_108`
17×	`log-rec_binary64_166`
16×	`rem-sqrt-square_binary64_91`
12×	`exp-sqrt_binary64_131`
11×	`swap-sqr_binary64_45` `+-commutative_binary64_8`
8×	`sub-neg_binary64_71`
7×	`exp-lft-sqr_binary64_133` `distribute-rgt1-in_binary64_34`
5×	`distribute-lft1-in_binary64_33`
3×	`log-pow_binary64_167` `unpow1/2_binary64_142`
2×	`prod-exp_binary64_127` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `/-rgt-identity_binary64_69` `remove-double-div_binary64_54` `distribute-rgt-in_binary64_28` `count-2_binary64_26`
1×	`unpow2_binary64_143` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-square-sqrt_binary64_90`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `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-cbrt_binary64_132` `div-exp_binary64_129` `rec-exp_binary64_128` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-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` `div-sub_binary64_83` `mul-1-neg_binary64_70` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `cancel-sign-sub-inv_binary64_44` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30` `distribute-lft-in_binary64_27` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12`

Counts

25 → 8

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	223
1	68	211
2	166	211
3	210	211
4	310	211
5	542	211
6	1169	211
7	2780	211
8	5010	211

prune13.0ms (0.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	5	3	8
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	5	6	11

Error

16.6b

Counts

11 → 6

Compiler

Compiled 101 to 81 computations (19.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (sqrt.f64 2) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite72.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

16.6b

Rules

19×	`add-sqr-sqrt_binary64_100`
14×	`cbrt-prod_binary64_109`
11×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
6×	`pow1_binary64_139` `add-exp-log_binary64_116` `associate-l_binary64_19` `associate-r_binary64_18`
5×	`add-cbrt-cube_binary64_114` `sqrt-prod_binary64_94`
4×	`add-log-exp_binary64_117` `unswap-sqr_binary64_46`
3×	`pow1/3_binary64_160`
1×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

4 → 60

Calls

4 calls:

7.0ms	(*.f64 (sqrt.f64 2) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 1017 to 478 computations (53% saved)

series468.0ms (11.8%)

Error

16.6b

Counts

4 → 12

Calls

4 calls:

139.0ms	(*.f64 (sqrt.f64 2) (cbrt.f64 x))
109.0ms	(cbrt.f64 x)
104.0ms	(cbrt.f64 x)
104.0ms	(cbrt.f64 x)

Compiler

Compiled 528 to 393 computations (25.6% saved)

simplify91.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

764×	`unswap-sqr_binary64_46`
435×	`log-prod_binary64_164`
316×	`associate-+l+_binary64_11`
272×	`associate-+r+_binary64_10`
267×	`*-commutative_binary64_9`
235×	`associate-l_binary64_19`
178×	`distribute-rgt-in_binary64_28`
176×	`associate-r_binary64_18`
174×	`distribute-lft-in_binary64_27`
154×	`distribute-lft-out_binary64_29`
138×	`sqr-pow_binary64_50`
136×	`distribute-rgt-out_binary64_31`
123×	`associate-/l/_binary64_25`
116×	`distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35`
50×	`exp-prod_binary64_130`
49×	`pow-sqr_binary64_51`
48×	`associate-/l*_binary64_23`
46×	`count-2_binary64_26`
45×	`cancel-sign-sub-inv_binary64_44`
35×	`log-pow_binary64_167` `cube-prod_binary64_106`
27×	`times-frac_binary64_84`
24×	`rem-sqrt-square_binary64_91`
23×	`neg-sub0_binary64_73`
22×	`neg-mul-1_binary64_74` `distribute-rgt1-in_binary64_34`
17×	`*-lft-identity_binary64_67` `distribute-lft1-in_binary64_33`
15×	`log-div_binary64_165` `sub-neg_binary64_71` `*-rgt-identity_binary64_68`
12×	`unsub-neg_binary64_72` `associate-/r*_binary64_22`
11×	`associate-*r/_binary64_20`
10×	`pow-plus_binary64_141` `cube-unmult_binary64_115` `associate-/r/_binary64_24`
8×	`swap-sqr_binary64_45`
6×	`unpow3_binary64_144`
4×	`unpow1/2_binary64_142` `cube-mult_binary64_108` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `+-commutative_binary64_8`
3×	`/-rgt-identity_binary64_69` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37`
2×	`unpow1/3_binary64_145` `associate-*l/_binary64_21`
1×	`log-rec_binary64_166` `unpow2_binary64_143` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-3cbrt-lft_binary64_103` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `associate-+l-_binary64_13`
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` `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` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-div_binary64_107` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `div-sub_binary64_83` `remove-double-neg_binary64_66` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `div0_binary64_59` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `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-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate--r+_binary64_14` `associate-+r-_binary64_12`

Counts

72 → 38

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	55	633
1	99	597
2	297	593
3	708	593
4	1019	593
5	2591	593
6	4759	593
7	5124	593

prune50.0ms (1.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	31	7	38
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	33	11	44

Error

16.6b

Counts

44 → 11

Compiler

Compiled 747 to 428 computations (42.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 x (.f64 2 (sqrt.f64 2)))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (.f64 x (.f64 2 (sqrt.f64 2))))

rewrite82.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

16.6b

Rules

9×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
7×	`add-cube-cbrt_binary64_113` `cbrt-prod_binary64_109` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
4×	`add-log-exp_binary64_117`
3×	`pow1/3_binary64_160` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-l_binary64_19`
1×	`associate-r_binary64_18` `*-commutative_binary64_9`

Counts

4 → 49

Calls

4 calls:

7.0ms	(cbrt.f64 (.f64 x (.f64 2 (sqrt.f64 2))))
7.0ms	(.f64 x (.f64 2 (sqrt.f64 2)))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 937 to 583 computations (37.8% saved)

series486.0ms (12.3%)

Error

16.6b

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt.f64 (.f64 x (.f64 2 (sqrt.f64 2))))
111.0ms	(cbrt.f64 x)
101.0ms	(cbrt.f64 x)
62.0ms	(.f64 x (.f64 2 (sqrt.f64 2)))

Compiler

Compiled 609 to 492 computations (19.2% saved)

simplify113.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

797×	`associate-r_binary64_18`
275×	`exp-prod_binary64_130`
262×	`log-prod_binary64_164`
232×	`associate-+r+_binary64_10`
198×	`unswap-sqr_binary64_46`
184×	`log-div_binary64_165`
138×	`associate--r+_binary64_14`
135×	`associate-+l+_binary64_11`
126×	`*-commutative_binary64_9`
119×	`distribute-rgt-in_binary64_28`
112×	`distribute-lft-in_binary64_27`
109×	`swap-sqr_binary64_45`
97×	`sqr-pow_binary64_50`
90×	`associate-/r*_binary64_22`
85×	`cube-prod_binary64_106`
77×	`associate-l_binary64_19`
67×	`exp-sum_binary64_124`
56×	`associate--r-_binary64_17`
50×	`log-pow_binary64_167`
48×	`unsub-neg_binary64_72`
46×	`sub-neg_binary64_71`
44×	`unpow3_binary64_144`
40×	`associate-+r-_binary64_12`
36×	`distribute-rgt-neg-in_binary64_36`
34×	`pow-plus_binary64_141`
33×	`exp-to-pow_binary64_140` `cancel-sign-sub-inv_binary64_44`
32×	`associate-/l*_binary64_23`
29×	`exp-diff_binary64_126` `distribute-lft-neg-in_binary64_35`
27×	`associate--l+_binary64_15`
26×	`pow-sqr_binary64_51` `associate-+l-_binary64_13`
25×	`div-sub_binary64_83` `distribute-neg-in_binary64_39` `distribute-rgt-out_binary64_31`
19×	`associate--l-_binary64_16`
17×	`neg-sub0_binary64_73` `associate-/l/_binary64_25`
16×	`log-rec_binary64_166` `neg-mul-1_binary64_74`
13×	`+-commutative_binary64_8`
12×	`unpow1/3_binary64_145`
10×	`cube-unmult_binary64_115`
9×	`exp-lft-sqr_binary64_133` `distribute-rgt-neg-out_binary64_38` `distribute-lft-out_binary64_29`
7×	`distribute-lft-neg-out_binary64_37`
6×	`count-2_binary64_26`
5×	`exp-neg_binary64_125` `rem-sqrt-square_binary64_91` `associate-*r/_binary64_20`
4×	`prod-exp_binary64_127` `rem-exp-log_binary64_118` `cube-mult_binary64_108` `sub0-neg_binary64_65` `+-rgt-identity_binary64_63`
3×	`unpow1_binary64_136` `remove-double-neg_binary64_66` `--rgt-identity_binary64_64`
2×	`unpow2_binary64_143` `unpow-1_binary64_135` `exp-sqrt_binary64_131` `rem-3cbrt-lft_binary64_103`
1×	`unpow1/2_binary64_142` `rec-exp_binary64_128` `1-exp_binary64_122` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `associate-/r/_binary64_24`
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` `pow-base-1_binary64_138` `unpow0_binary64_137` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `div-exp_binary64_129` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `cube-div_binary64_107` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `times-frac_binary64_84` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30` `associate-l/_binary64_21`

Counts

61 → 35

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	84	581
1	160	555
2	475	546
3	1905	534
4	4700	534
5	4844	523
6	4870	523
7	4982	523

prune39.0ms (1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	2	6	8
Picked	0	1	1
Done	0	2	2
Total	34	12	46

Error

16.6b

Counts

46 → 12

Compiler

Compiled 594 to 380 computations (36% saved)

regimes599.0ms (15.1%)

Accuracy

Total 0.3b remaining (87.2%)

Threshold costs 0.3b (87.2%)

Compiler

Compiled 4202 to 3104 computations (26.1% saved)

bsearch22.0ms (0.6%)

Steps

Iters	Range		Point
9	-2.789466341386948e-303	3.2461052710891493e-308	4.9109703020164e-311

Compiler

Compiled 1 to 1 computations (0% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64_9`
5×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73` `sub-neg_binary64_71` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35` `+-commutative_binary64_8`
1×	`cancel-sign-sub-inv_binary64_44`
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_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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	41
1	28	41
2	42	41
3	53	41
4	59	41
5	61	41
6	61	41

end0.0ms (0%)

sample1.4s (36.4%)

Algorithm

1×

intervals

Results

175.0ms

8000×

body

128

valid

Compiler

Compiled 1075 to 798 computations (25.8% saved)

Details

analyze144.0ms (3.6%)

sample13.0ms (0.3%)

simplify9.0ms (0.2%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite23.0ms (0.6%)

series46.0ms (1.2%)

simplify76.0ms (1.9%)

prune8.0ms (0.2%)

localize4.0ms (0.1%)

rewrite29.0ms (0.7%)

series47.0ms (1.2%)

simplify54.0ms (1.4%)

prune13.0ms (0.3%)

localize8.0ms (0.2%)

rewrite72.0ms (1.8%)

series468.0ms (11.8%)

simplify91.0ms (2.3%)

prune50.0ms (1.3%)

localize10.0ms (0.2%)

rewrite82.0ms (2.1%)

series486.0ms (12.3%)

simplify113.0ms (2.9%)

prune39.0ms (1%)

regimes599.0ms (15.1%)

bsearch22.0ms (0.6%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample1.4s (36.4%)

Profiling