Details

analyze144.0ms (5%)

Algorithm

1×	search
2×	egg-herbie

Rules

3×	`*-commutative_binary64_9`
1×	`associate-l_binary64_19` `associate-r_binary64_18`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `log-prod_binary64_164` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow3_binary64_144` `unpow2_binary64_143` `unpow1/2_binary64_142` `pow-plus_binary64_141` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-prod_binary64_130` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `1-exp_binary64_122` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-unmult_binary64_115` `cube-mult_binary64_108` `cube-div_binary64_107` `cube-prod_binary64_106` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `times-frac_binary64_84` `div-sub_binary64_83` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `unsub-neg_binary64_72` `sub-neg_binary64_71` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `pow-sqr_binary64_51` `sqr-pow_binary64_50` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `unswap-sqr_binary64_46` `swap-sqr_binary64_45` `cancel-sign-sub-inv_binary64_44` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-rgt-out--_binary64_32` `distribute-rgt-out_binary64_31` `distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `count-2_binary64_26` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-*r/_binary64_20` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12` `associate-+l+_binary64_11` `associate-+r+_binary64_10` `+-commutative_binary64_8`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	11	9
3	11	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 7 to 6 computations (14.3% saved)

sample12.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64_9`
1×	`associate-l_binary64_19` `associate-r_binary64_18`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `log-prod_binary64_164` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow3_binary64_144` `unpow2_binary64_143` `unpow1/2_binary64_142` `pow-plus_binary64_141` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-prod_binary64_130` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `1-exp_binary64_122` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-unmult_binary64_115` `cube-mult_binary64_108` `cube-div_binary64_107` `cube-prod_binary64_106` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `times-frac_binary64_84` `div-sub_binary64_83` `neg-mul-1_binary64_74` `neg-sub0_binary64_73` `unsub-neg_binary64_72` `sub-neg_binary64_71` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `pow-sqr_binary64_51` `sqr-pow_binary64_50` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `unswap-sqr_binary64_46` `swap-sqr_binary64_45` `cancel-sign-sub-inv_binary64_44` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-rgt-out--_binary64_32` `distribute-rgt-out_binary64_31` `distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `count-2_binary64_26` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-*r/_binary64_20` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12` `associate-+l+_binary64_11` `associate-+r+_binary64_10` `+-commutative_binary64_8`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	9	9
2	11	9
3	11	9

prune1.0ms (0.1%)

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

32.3b

Counts

1 → 1

Compiler

Compiled 6 to 5 computations (16.7% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

31.1b

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

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

32.3b

Rules

7×	`pow1_binary64_139`
3×	`pow-prod-down_binary64_149` `sqrt-pow1_binary64_96`
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` `sqrt-prod_binary64_94` `*-un-lft-identity_binary64_78`

Counts

1 → 12

Calls

1 calls:

6.0ms

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

Compiler

Compiled 132 to 83 computations (37.1% saved)

series56.0ms (1.9%)

Error

0.3b

Counts

1 → 3

Calls

1 calls:

52.0ms

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

Compiler

Compiled 42 to 40 computations (4.8% saved)

simplify159.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1268×	`sqr-pow_binary64_50`
651×	`pow-sqr_binary64_51`
362×	`unswap-sqr_binary64_46`
265×	`cube-prod_binary64_106`
201×	`unpow3_binary64_144`
198×	`cube-mult_binary64_108`
168×	`associate-l_binary64_19`
152×	`*-commutative_binary64_9`
102×	`associate-r_binary64_18`
48×	`pow-plus_binary64_141`
23×	`distribute-rgt-in_binary64_28`
18×	`rem-sqrt-square_binary64_91`
9×	`cube-unmult_binary64_115` `sub-neg_binary64_71` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `distribute-lft-in_binary64_27`
6×	`unpow2_binary64_143` `unpow1/2_binary64_142` `unpow1_binary64_136` `+-commutative_binary64_8`
4×	`unsub-neg_binary64_72`
3×	`neg-sub0_binary64_73` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `associate--r+_binary64_14` `associate-+l-_binary64_13`
2×	`mul-1-neg_binary64_70` `distribute-rgt-neg-in_binary64_36`
1×	`1-exp_binary64_122` `rem-square-sqrt_binary64_90` `neg-mul-1_binary64_74` `distribute-lft-neg-in_binary64_35`
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-div_binary64_107` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `times-frac_binary64_84` `div-sub_binary64_83` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `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` `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-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` `count-2_binary64_26` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-*r/_binary64_20` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate-+r-_binary64_12` `associate-+l+_binary64_11` `associate-+r+_binary64_10`

Counts

15 → 6

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	126
1	33	120
2	61	120
3	78	120
4	85	120
5	106	120
6	127	120
7	185	120
8	396	120
9	700	120
10	702	120
11	832	120
12	986	120
13	1203	120
14	1501	120
15	1874	120
16	2317	120
17	2840	120
18	3060	120
19	3130	120
20	3140	120
21	3142	120
22	3142	120
23	3711	120
24	4352	120
25	4798	120

prune12.0ms (0.4%)

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

0.3b

Counts

7 → 3

Compiler

Compiled 54 to 41 computations (24.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite27.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-sqr-sqrt_binary64_100`
6×	`associate-l_binary64_19`
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-r_binary64_18`
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 (sqrt.f64 2) (fabs.f64 x))

Compiler

Compiled 240 to 167 computations (30.4% saved)

series48.0ms (1.7%)

Error

0.3b

Counts

1 → 3

Calls

1 calls:

46.0ms

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

Compiler

Compiled 45 to 41 computations (8.9% saved)

simplify85.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

411×	`log-div_binary64_165`
359×	`unswap-sqr_binary64_46`
274×	`associate-l_binary64_19`
263×	`log-prod_binary64_164`
258×	`associate-*l/_binary64_21`
193×	`associate-/l/_binary64_25`
192×	`associate-+l+_binary64_11`
188×	`cube-div_binary64_107`
164×	`associate-*r/_binary64_20`
159×	`*-commutative_binary64_9`
153×	`associate-r_binary64_18`
147×	`associate-+l-_binary64_13`
139×	`associate-/l*_binary64_23`
126×	`exp-prod_binary64_130` `sqr-pow_binary64_50`
121×	`cube-prod_binary64_106`
107×	`associate-/r/_binary64_24`
99×	`unpow3_binary64_144`
98×	`associate-+r-_binary64_12`
72×	`associate-+r+_binary64_10`
60×	`associate-/r*_binary64_22` `associate--l+_binary64_15`
54×	`swap-sqr_binary64_45`
45×	`pow-sqr_binary64_51`
38×	`log-pow_binary64_167`
34×	`log-rec_binary64_166`
29×	`unsub-neg_binary64_72` `distribute-lft-out_binary64_29`
28×	`pow-plus_binary64_141`
25×	`*-lft-identity_binary64_67`
22×	`times-frac_binary64_84` `distribute-rgt-out_binary64_31`
21×	`exp-sqrt_binary64_131` `cube-unmult_binary64_115` `rem-sqrt-square_binary64_91`
20×	`*-rgt-identity_binary64_68`
18×	`distribute-rgt-in_binary64_28`
16×	`cube-mult_binary64_108`
14×	`prod-exp_binary64_127`
13×	`exp-lft-sqr_binary64_133`
12×	`distribute-lft-in_binary64_27`
11×	`+-commutative_binary64_8`
9×	`distribute-rgt1-in_binary64_34` `associate--l-_binary64_16`
7×	`unpow2_binary64_143` `sub-neg_binary64_71`
6×	`remove-double-div_binary64_54`
5×	`distribute-lft1-in_binary64_33`
3×	`unpow1/2_binary64_142`
2×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73` `/-rgt-identity_binary64_69` `distribute-neg-out_binary64_40` `count-2_binary64_26`
1×	`unpow1_binary64_136` `1-exp_binary64_122` `exp-1-e_binary64_121` `sqr-abs_binary64_93` `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` `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-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-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` `associate--r-_binary64_17` `associate--r+_binary64_14`

Counts

25 → 8

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	282
1	67	270
2	167	270
3	279	270
4	409	270
5	640	270
6	967	270
7	2319	270
8	4358	270
9	4925	270
10	4863	270

prune11.0ms (0.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	7	4	11

Error

0.0b

Counts

11 → 4

Compiler

Compiled 99 to 85 computations (14.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.3b	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

rewrite97.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_139` `add-exp-log_binary64_116`
12×	`add-sqr-sqrt_binary64_100`
10×	`associate-r_binary64_18`
9×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `add-cbrt-cube_binary64_114` `cbrt-unprod_binary64_111`
8×	`cbrt-prod_binary64_109`
6×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`associate-l_binary64_19` `sqrt-prod_binary64_94`
3×	`unswap-sqr_binary64_46`
2×	`add-log-exp_binary64_117` `*-commutative_binary64_9`

Counts

2 → 48

Calls

2 calls:

12.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
6.0ms	(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))

Compiler

Compiled 1021 to 860 computations (15.8% saved)

series170.0ms (5.9%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

122.0ms	(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
43.0ms	(.f64 (.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

Compiler

Compiled 180 to 170 computations (5.6% saved)

simplify99.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

428×	`associate-/l*_binary64_23`
418×	`associate-/l/_binary64_25`
406×	`associate-/r/_binary64_24`
364×	`distribute-rgt-in_binary64_28`
351×	`distribute-lft-in_binary64_27`
332×	`*-commutative_binary64_9`
263×	`sqr-pow_binary64_50`
244×	`unswap-sqr_binary64_46`
208×	`log-div_binary64_165`
125×	`associate-l_binary64_19`
114×	`distribute-lft-out_binary64_29`
112×	`associate-r_binary64_18`
106×	`distribute-rgt-out_binary64_31`
104×	`pow-sqr_binary64_51`
98×	`log-prod_binary64_164` `times-frac_binary64_84`
97×	`exp-prod_binary64_130`
91×	`associate-+l+_binary64_11`
71×	`+-commutative_binary64_8`
63×	`associate-+r+_binary64_10`
62×	`cube-prod_binary64_106`
56×	`count-2_binary64_26`
44×	`associate-*r/_binary64_20`
39×	`associate-/r*_binary64_22`
37×	`rem-sqrt-square_binary64_91`
30×	`swap-sqr_binary64_45`
26×	`log-pow_binary64_167`
20×	`distribute-rgt1-in_binary64_34`
13×	`unpow3_binary64_144`
12×	`pow-plus_binary64_141` `cube-mult_binary64_108` `-rgt-identity_binary64_68` `-lft-identity_binary64_67`
11×	`cube-div_binary64_107`
8×	`cube-unmult_binary64_115`
7×	`unpow1/2_binary64_142` `distribute-lft1-in_binary64_33`
6×	`associate-*l/_binary64_21`
5×	`log-rec_binary64_166`
2×	`unpow2_binary64_143` `/-rgt-identity_binary64_69`
1×	`unpow1/3_binary64_145` `unpow1_binary64_136` `exp-lft-sqr_binary64_133` `exp-sqrt_binary64_131` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `sqr-abs_binary64_93` `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` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `div-exp_binary64_129` `rec-exp_binary64_128` `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-neg_binary64_105` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-neg_binary64_92` `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` `+-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` `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` `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

54 → 31

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	1151
1	155	624
2	480	624
3	805	624
4	1536	624
5	2897	624
6	4962	624
7	5097	624

prune34.0ms (1.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	29	6	35

Error

0.0b

Counts

35 → 6

Compiler

Compiled 409 to 331 computations (19.1% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (fabs.f64 x) (pow.f64 (sqrt.f64 2) 2/3))
0.3b	(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (fabs.f64 x) (pow.f64 (sqrt.f64 2) 2/3)))

rewrite98.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`add-exp-log_binary64_116`
16×	`add-sqr-sqrt_binary64_100`
12×	`associate-l_binary64_19`
11×	`associate-r_binary64_18`
10×	`prod-exp_binary64_127`
9×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
8×	`unpow-prod-down_binary64_157`
7×	`add-cbrt-cube_binary64_114` `sqrt-prod_binary64_94`
6×	`cbrt-prod_binary64_109`
4×	`pow1_binary64_139` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
2×	`pow-to-exp_binary64_147` `pow-exp_binary64_146` `add-log-exp_binary64_117` `*-commutative_binary64_9` `sqr-pow_binary64_50`
1×	`pow-prod-down_binary64_149`

Counts

2 → 54

Calls

2 calls:

9.0ms	(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (fabs.f64 x) (pow.f64 (sqrt.f64 2) 2/3)))
9.0ms	(*.f64 (fabs.f64 x) (pow.f64 (sqrt.f64 2) 2/3))

Compiler

Compiled 995 to 825 computations (17.1% saved)

series210.0ms (7.2%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

161.0ms	(*.f64 (fabs.f64 x) (pow.f64 (sqrt.f64 2) 2/3))
44.0ms	(.f64 (cbrt.f64 (sqrt.f64 2)) (.f64 (fabs.f64 x) (pow.f64 (sqrt.f64 2) 2/3)))

Compiler

Compiled 162 to 152 computations (6.2% saved)

simplify81.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

912×	`unswap-sqr_binary64_46`
654×	`associate-/l/_binary64_25`
328×	`*-commutative_binary64_9`
281×	`sqr-pow_binary64_50`
176×	`times-frac_binary64_84`
136×	`distribute-rgt-in_binary64_28`
131×	`associate-/l*_binary64_23`
125×	`distribute-lft-in_binary64_27`
112×	`associate-r_binary64_18`
107×	`pow-sqr_binary64_51`
105×	`associate-l_binary64_19`
96×	`exp-prod_binary64_130`
91×	`log-prod_binary64_164`
87×	`+-commutative_binary64_8`
78×	`distribute-lft-out_binary64_29`
72×	`associate-+l+_binary64_11`
70×	`distribute-rgt-out_binary64_31` `associate-/r/_binary64_24`
61×	`associate-/r*_binary64_22`
60×	`cube-prod_binary64_106`
56×	`swap-sqr_binary64_45`
54×	`associate-+r+_binary64_10`
53×	`associate-*r/_binary64_20`
31×	`rem-sqrt-square_binary64_91`
30×	`count-2_binary64_26`
29×	`*-rgt-identity_binary64_68`
26×	`*-lft-identity_binary64_67`
20×	`log-pow_binary64_167`
18×	`associate-*l/_binary64_21`
16×	`log-div_binary64_165` `cube-div_binary64_107`
13×	`cube-unmult_binary64_115` `distribute-rgt1-in_binary64_34`
12×	`pow-plus_binary64_141`
9×	`unpow3_binary64_144`
8×	`unpow1/2_binary64_142`
7×	`cube-mult_binary64_108`
6×	`unpow1/3_binary64_145` `pow-base-1_binary64_138`
3×	`unpow2_binary64_143` `distribute-lft1-in_binary64_33`
1×	`log-rec_binary64_166` `unpow1_binary64_136` `exp-lft-sqr_binary64_133` `exp-sqrt_binary64_131` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90` `/-rgt-identity_binary64_69`
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` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `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-neg_binary64_105` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-neg_binary64_92` `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` `+-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` `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` `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

60 → 42

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	999
1	177	902
2	537	752
3	817	752
4	1449	752
5	3226	752
6	4873	752

prune46.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	2	0	2
Picked	0	1	1
Done	1	2	3
Total	43	5	48

Error

0.0b

Counts

48 → 5

Compiler

Compiled 542 to 437 computations (19.4% saved)

regimes325.0ms (11.2%)

Accuracy

Total 0.4b remaining (99.9%)

Threshold costs 0.4b (99.9%)

Compiler

Compiled 2711 to 2367 computations (12.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2× *-commutative_binary64_9

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	11	24
2	11	24

end0.0ms (0%)

sample1.1s (38.9%)

Algorithm

1×

intervals

Results

180.0ms

8000×

body

128

valid

Compiler

Compiled 621 to 554 computations (10.8% saved)

Details

analyze144.0ms (5%)

sample12.0ms (0.4%)

simplify8.0ms (0.3%)

prune1.0ms (0.1%)

localize9.0ms (0.3%)

rewrite21.0ms (0.7%)

series56.0ms (1.9%)

simplify159.0ms (5.5%)

prune12.0ms (0.4%)

localize4.0ms (0.1%)

rewrite27.0ms (0.9%)

series48.0ms (1.7%)

simplify85.0ms (2.9%)

prune11.0ms (0.4%)

localize7.0ms (0.2%)

rewrite97.0ms (3.3%)

series170.0ms (5.9%)

simplify99.0ms (3.4%)

prune34.0ms (1.2%)

localize9.0ms (0.3%)

rewrite98.0ms (3.4%)

series210.0ms (7.2%)

simplify81.0ms (2.8%)

prune46.0ms (1.6%)

regimes325.0ms (11.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (38.9%)

Profiling