Details

analyze149.0ms (3.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

2×	`*-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	10	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 (0.3%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-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 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	10	9
2	11	9
3	11	9

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

32.3b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

31.1b

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

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

15.8b

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:

4.0ms

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

Compiler

Compiled 132 to 99 computations (25% saved)

series48.0ms (1.2%)

Error

0.3b

Counts

1 → 3

Calls

1 calls:

44.0ms

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

Compiler

Compiled 42 to 40 computations (4.8% saved)

simplify157.0ms (3.9%)

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`
169×	`associate-l_binary64_19`
151×	`*-commutative_binary64_9`
103×	`associate-r_binary64_18`
48×	`pow-plus_binary64_141`
23×	`distribute-rgt-in_binary64_28`
17×	`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 → 10

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	129
1	34	123
2	61	123
3	77	123
4	85	123
5	106	123
6	127	123
7	185	123
8	396	123
9	700	123
10	702	123
11	832	123
12	986	123
13	1203	123
14	1501	123
15	1874	123
16	2317	123
17	2840	123
18	3060	123
19	3130	123
20	3140	123
21	3142	123
22	3142	123
23	3711	123
24	4352	123
25	4798	123

prune15.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	6	4	10
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	6	5	11

Error

0.2b

Counts

11 → 5

Compiler

Compiled 132 to 103 computations (22% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

8×	`pow1_binary64_139` `add-sqr-sqrt_binary64_100`
6×	`associate-r_binary64_18`
5×	`pow-prod-down_binary64_149` `sqrt-prod_binary64_94`
4×	`sqrt-pow1_binary64_96` `add-cube-cbrt_binary64_113` `-un-lft-identity_binary64_78` `associate-l*_binary64_19`
3×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
2×	`pow1/2_binary64_158` `unswap-sqr_binary64_46`
1×	`prod-exp_binary64_127` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `sqrt-unprod_binary64_98` `*-commutative_binary64_9`

Counts

1 → 27

Calls

1 calls:

7.0ms

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

Compiler

Compiled 347 to 221 computations (36.3% saved)

series43.0ms (1.1%)

Error

0.2b

Counts

1 → 3

Calls

1 calls:

41.0ms

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

Compiler

Compiled 41 to 40 computations (2.4% saved)

simplify69.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

363×	`cancel-sign-sub-inv_binary64_44`
345×	`sub-neg_binary64_71`
307×	`unswap-sqr_binary64_46`
290×	`*-commutative_binary64_9`
236×	`associate-*l/_binary64_21`
200×	`sqr-pow_binary64_50`
192×	`associate-+l+_binary64_11`
174×	`log-div_binary64_165`
173×	`cube-div_binary64_107`
163×	`associate-r/_binary64_20` `associate-l*_binary64_19`
155×	`log-prod_binary64_164`
149×	`cube-prod_binary64_106`
129×	`associate-/l/_binary64_25`
121×	`associate-+l-_binary64_13`
113×	`associate-r_binary64_18`
109×	`swap-sqr_binary64_45`
93×	`associate-/l*_binary64_23`
86×	`exp-prod_binary64_130`
79×	`associate-+r-_binary64_12`
77×	`associate-/r/_binary64_24`
73×	`pow-sqr_binary64_51`
72×	`associate-+r+_binary64_10`
63×	`unsub-neg_binary64_72`
38×	`associate-/r*_binary64_22`
30×	`unpow3_binary64_144`
29×	`cube-mult_binary64_108` `distribute-lft-out_binary64_29`
26×	`associate--l+_binary64_15`
24×	`*-lft-identity_binary64_67`
22×	`distribute-rgt-out_binary64_31`
21×	`*-rgt-identity_binary64_68`
20×	`log-rec_binary64_166` `rem-sqrt-square_binary64_91`
18×	`distribute-rgt-in_binary64_28`
17×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
16×	`exp-sqrt_binary64_131`
13×	`exp-lft-sqr_binary64_133` `prod-exp_binary64_127` `times-frac_binary64_84`
12×	`distribute-lft-in_binary64_27`
11×	`+-commutative_binary64_8`
10×	`pow-plus_binary64_141` `cube-unmult_binary64_115`
9×	`distribute-rgt1-in_binary64_34`
6×	`unpow1/2_binary64_142` `associate--l-_binary64_16`
5×	`unpow2_binary64_143` `distribute-lft1-in_binary64_33`
4×	`unpow1_binary64_136`
2×	`log-pow_binary64_167` `rem-square-sqrt_binary64_90` `/-rgt-identity_binary64_69` `distribute-neg-out_binary64_40` `count-2_binary64_26`
1×	`1-exp_binary64_122` `exp-1-e_binary64_121` `+-inverses_binary64_57` `remove-double-div_binary64_54`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `pow-base-0_binary64_162` `unpow1/3_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-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` `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-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

30 → 12

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	378
1	83	366
2	211	366
3	362	366
4	430	366
5	579	366
6	864	366
7	1914	366
8	2880	366
9	4822	366

prune16.0ms (0.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	9	3	12
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	9	8	17

Error

0.2b

Counts

17 → 8

Compiler

Compiled 195 to 149 computations (23.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (*.f64 x 2)))
0.1b	(sqrt.f64 (sqrt.f64 (*.f64 x 2)))
0.1b	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x 2))) (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (.f64 x 2)))))
0.2b	(.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (.f64 x 2))))

rewrite159.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

27×	`sqrt-prod_binary64_94`
24×	`pow1_binary64_139`
22×	`add-sqr-sqrt_binary64_100`
17×	`sqrt-pow1_binary64_96`
13×	`associate-l_binary64_19`
12×	`pow-prod-down_binary64_149` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
9×	`pow1/2_binary64_158`
8×	`associate-r_binary64_18`
4×	`prod-exp_binary64_127` `add-log-exp_binary64_117` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
3×	`sqrt-unprod_binary64_98`
2×	`*-commutative_binary64_9` `rem-sqrt-square_binary64_91`

Counts

4 → 90

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x 2))) (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (.f64 x 2)))))
10.0ms	(.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (.f64 x 2))))
3.0ms	(sqrt.f64 (sqrt.f64 (*.f64 x 2)))
3.0ms	(sqrt.f64 (sqrt.f64 (*.f64 x 2)))

Compiler

Compiled 1864 to 1380 computations (26% saved)

series403.0ms (10%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

136.0ms	(.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (.f64 x 2))))
110.0ms	(sqrt.f64 (sqrt.f64 (*.f64 x 2)))
102.0ms	(sqrt.f64 (sqrt.f64 (*.f64 x 2)))
43.0ms	(.f64 (sqrt.f64 (sqrt.f64 (.f64 x 2))) (.f64 (sqrt.f64 x) (sqrt.f64 (sqrt.f64 (.f64 x 2)))))

Compiler

Compiled 452 to 391 computations (13.5% saved)

simplify125.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

592×	`unswap-sqr_binary64_46`
403×	`associate-/r*_binary64_22`
367×	`times-frac_binary64_84`
348×	`associate-l_binary64_19`
237×	`associate-+l+_binary64_11`
225×	`log-div_binary64_165` `sqr-pow_binary64_50`
214×	`associate-r_binary64_18`
206×	`*-commutative_binary64_9`
151×	`associate-*l/_binary64_21`
149×	`log-prod_binary64_164`
131×	`associate-*r/_binary64_20`
99×	`cube-div_binary64_107`
84×	`associate-+r+_binary64_10`
82×	`associate-/l/_binary64_25` `associate-/l*_binary64_23`
73×	`pow-sqr_binary64_51`
51×	`cube-prod_binary64_106`
50×	`associate-/r/_binary64_24` `associate--l+_binary64_15`
46×	`rem-sqrt-square_binary64_91`
44×	`exp-prod_binary64_130`
31×	`swap-sqr_binary64_45`
29×	`distribute-lft-out_binary64_29`
25×	`pow-plus_binary64_141`
24×	`cube-unmult_binary64_115`
22×	`-rgt-identity_binary64_68` `-lft-identity_binary64_67`
21×	`distribute-rgt-out_binary64_31`
16×	`log-rec_binary64_166` `unpow3_binary64_144` `distribute-rgt-in_binary64_28`
14×	`exp-sqrt_binary64_131`
11×	`cube-mult_binary64_108`
8×	`unpow2_binary64_143` `distribute-lft-in_binary64_27`
7×	`unpow1/2_binary64_142` `unsub-neg_binary64_72` `distribute-rgt1-in_binary64_34`
5×	`exp-lft-sqr_binary64_133` `distribute-lft1-in_binary64_33`
4×	`sub-neg_binary64_71` `remove-double-div_binary64_54`
3×	`log-pow_binary64_167` `unpow1_binary64_136` `rem-square-sqrt_binary64_90` `count-2_binary64_26` `+-commutative_binary64_8`
2×	`/-rgt-identity_binary64_69`
1×	`prod-exp_binary64_127` `1-exp_binary64_122` `exp-1-e_binary64_121` `neg-mul-1_binary64_74` `neg-sub0_binary64_73`
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-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` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--r+_binary64_14` `associate-+l-_binary64_13` `associate-+r-_binary64_12`

Counts

102 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	1555
1	168	1289
2	417	1259
3	719	1259
4	889	1259
5	1249	1259
6	2358	1259
7	4742	1259
8	4905	1259

prune62.0ms (1.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	47	10	57

Error

0.1b

Counts

57 → 10

Compiler

Compiled 878 to 646 computations (26.4% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x)))
0.2b	(.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x))
0.2b	(.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x))
0.3b	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 x))))

rewrite230.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

145×	`pow1_binary64_139`
139×	`sqrt-pow1_binary64_96`
92×	`pow-prod-down_binary64_149`
37×	`pow1/2_binary64_158`
24×	`add-sqr-sqrt_binary64_100`
19×	`pow-prod-up_binary64_148`
16×	`associate-r_binary64_18`
15×	`sqrt-prod_binary64_94`
14×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
12×	`associate-l_binary64_19`
11×	`pow-sqr_binary64_51`
10×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`unswap-sqr_binary64_46`
4×	`add-log-exp_binary64_117` `swap-sqr_binary64_45`
3×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `sqrt-unprod_binary64_98` `*-commutative_binary64_9`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `rem-square-sqrt_binary64_90`

Counts

4 → 136

Calls

4 calls:

17.0ms	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 x))))
10.0ms	(.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x))
8.0ms	(.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x))
6.0ms	(sqrt.f64 (.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x)))

Compiler

Compiled 2897 to 2001 computations (30.9% saved)

series180.0ms (4.5%)

Error

0.1b

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x))) (sqrt.f64 (.f64 (sqrt.f64 (*.f64 x 2)) (sqrt.f64 x))))
44.0ms	(.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x))
44.0ms	(.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x))
36.0ms	(sqrt.f64 (.f64 (sqrt.f64 (.f64 x 2)) (sqrt.f64 x)))

Compiler

Compiled 447 to 372 computations (16.8% saved)

simplify107.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

848×	`unswap-sqr_binary64_46`
542×	`associate-*l/_binary64_21`
429×	`associate-+l+_binary64_11`
287×	`sqr-pow_binary64_50`
244×	`associate-/l*_binary64_23`
239×	`*-commutative_binary64_9`
217×	`associate-/l/_binary64_25`
199×	`associate-+r+_binary64_10`
171×	`associate-/r/_binary64_24`
134×	`associate-l_binary64_19`
118×	`pow-sqr_binary64_51`
117×	`distribute-rgt-in_binary64_28`
112×	`associate-r_binary64_18`
100×	`swap-sqr_binary64_45`
99×	`distribute-lft-in_binary64_27`
91×	`log-prod_binary64_164`
88×	`exp-prod_binary64_130`
72×	`associate-/r*_binary64_22`
60×	`cube-prod_binary64_106`
40×	`rem-sqrt-square_binary64_91`
35×	`associate-*r/_binary64_20`
32×	`distribute-lft-out_binary64_29`
31×	`distribute-rgt-out_binary64_31`
27×	`times-frac_binary64_84`
23×	`pow-plus_binary64_141`
14×	`unpow3_binary64_144` `count-2_binary64_26`
12×	`unpow1/2_binary64_142` `cube-unmult_binary64_115` `*-lft-identity_binary64_67`
11×	`log-div_binary64_165` `cube-div_binary64_107` `+-commutative_binary64_8`
10×	`log-pow_binary64_167` `unpow2_binary64_143` `cube-mult_binary64_108` `*-rgt-identity_binary64_68`
7×	`unpow1_binary64_136` `distribute-rgt1-in_binary64_34`
6×	`rem-square-sqrt_binary64_90`
5×	`distribute-lft1-in_binary64_33`
2×	`exp-sqrt_binary64_131` `/-rgt-identity_binary64_69`
1×	`exp-lft-sqr_binary64_133` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102`
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-rec_binary64_166` `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` `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-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `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

148 → 97

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	86	1550
1	148	1465
2	529	1453
3	881	1416
4	2140	1366
5	2981	1366
6	5264	1366

prune92.0ms (2.3%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	0	7	7
Picked	0	1	1
Done	1	1	2
Total	95	12	107

Error

0.1b

Counts

107 → 12

Compiler

Compiled 1361 to 951 computations (30.1% saved)

regimes488.0ms (12.1%)

Accuracy

Total 0.3b remaining (69.7%)

Threshold costs 0.3b (69.7%)

Compiler

Compiled 3801 to 3007 computations (20.9% saved)

bsearch19.0ms (0.5%)

Steps

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

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64_9`
3×	`neg-sub0_binary64_73` `sub-neg_binary64_71` `+-commutative_binary64_8`
2×	`neg-mul-1_binary64_74` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35`
1×	`mul-1-neg_binary64_70`
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` `/-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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	25
1	20	25
2	28	25
3	33	25
4	38	25
5	40	25
6	40	25

end0.0ms (0%)

sample1.6s (38.9%)

Algorithm

1×

intervals

Results

181.0ms

8000×

body

128

valid

Compiler

Compiled 1226 to 971 computations (20.8% saved)

Details

analyze149.0ms (3.7%)

sample12.0ms (0.3%)

simplify9.0ms (0.2%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite18.0ms (0.5%)

series48.0ms (1.2%)

simplify157.0ms (3.9%)

prune15.0ms (0.4%)

localize5.0ms (0.1%)

rewrite36.0ms (0.9%)

series43.0ms (1.1%)

simplify69.0ms (1.7%)

prune16.0ms (0.4%)

localize7.0ms (0.2%)

rewrite159.0ms (3.9%)

series403.0ms (10%)

simplify125.0ms (3.1%)

prune62.0ms (1.5%)

localize7.0ms (0.2%)

rewrite230.0ms (5.7%)

series180.0ms (4.5%)

simplify107.0ms (2.7%)

prune92.0ms (2.3%)

regimes488.0ms (12.1%)

bsearch19.0ms (0.5%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (38.9%)

Profiling