Details

analyze150.0ms (3.4%)

Algorithm

1×	search
2×	egg-herbie

Rules

15×	`sub-neg_binary64_71`
14×	`cancel-sign-sub-inv_binary64_44`
10×	`distribute-rgt-in_binary64_28`
9×	`neg-mul-1_binary64_74`
8×	`associate--r+_binary64_14`
7×	`unsub-neg_binary64_72`
6×	`neg-sub0_binary64_73`
5×	`distribute-neg-in_binary64_39` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-in_binary64_27` `associate--r-_binary64_17` `+-commutative_binary64_8`
4×	`*-lft-identity_binary64_67` `sub0-neg_binary64_65` `associate-+l-_binary64_13`
3×	`+-lft-identity_binary64_62` `distribute-rgt-neg-out_binary64_38` `associate-+l+_binary64_11` `*-commutative_binary64_9`
2×	`*-rgt-identity_binary64_68` `distribute-neg-frac_binary64_42`
1×	`1-exp_binary64_122` `remove-double-neg_binary64_66` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `distribute-lft-neg-in_binary64_35` `associate--l+_binary64_15` `associate-+r-_binary64_12` `associate-+r+_binary64_10`
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` `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` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `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_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `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-l_binary64_19` `associate-r*_binary64_18` `associate--l-_binary64_16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	25	13
4	32	13
5	48	13
6	70	13
7	79	13
8	91	13
9	93	13
10	87	13
11	73	13
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
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

4.0ms	159×	body	128	valid
4.0ms	57×	body	512	valid
2.0ms	32×	body	256	valid
1.0ms	8×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

15×	`sub-neg_binary64_71`
14×	`cancel-sign-sub-inv_binary64_44`
10×	`distribute-rgt-in_binary64_28`
9×	`neg-mul-1_binary64_74`
8×	`associate--r+_binary64_14`
7×	`unsub-neg_binary64_72`
6×	`neg-sub0_binary64_73`
5×	`distribute-neg-in_binary64_39` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-in_binary64_27` `associate--r-_binary64_17` `+-commutative_binary64_8`
4×	`*-lft-identity_binary64_67` `sub0-neg_binary64_65` `associate-+l-_binary64_13`
3×	`+-lft-identity_binary64_62` `distribute-rgt-neg-out_binary64_38` `associate-+l+_binary64_11` `*-commutative_binary64_9`
2×	`*-rgt-identity_binary64_68` `distribute-neg-frac_binary64_42`
1×	`1-exp_binary64_122` `remove-double-neg_binary64_66` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `distribute-lft-neg-in_binary64_35` `associate--l+_binary64_15` `associate-+r-_binary64_12` `associate-+r+_binary64_10`
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` `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` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `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_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `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-l_binary64_19` `associate-r*_binary64_18` `associate--l-_binary64_16`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	25	13
4	32	13
5	48	13
6	70	13
7	79	13
8	91	13
9	93	13
10	87	13
11	73	13

prune2.0ms (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

14.6b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
3.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite143.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

13.5b

Rules

55×	`*-un-lft-identity_binary64_78`
46×	`add-sqr-sqrt_binary64_100`
45×	`times-frac_binary64_84`
22×	`add-cube-cbrt_binary64_113`
13×	`cancel-sign-sub-inv_binary64_44`
10×	`distribute-lft-out--_binary64_30`
9×	`difference-of-squares_binary64_47`
7×	`distribute-lft-out_binary64_29`
6×	`add-exp-log_binary64_116` `div-inv_binary64_75`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `associate-/r*_binary64_22`
3×	`pow1_binary64_139` `associate-/l*_binary64_23`
2×	`div-exp_binary64_129` `associate-/r/_binary64_24`
1×	`diff-log_binary64_170` `frac-sub_binary64_87` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `inv-pow_binary64_163` `pow-flip_binary64_152` `1-exp_binary64_122` `rec-exp_binary64_128` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `flip3-+_binary64_81` `flip-+_binary64_52`

Counts

2 → 81

Calls

2 calls:

21.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
6.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 1400 to 1135 computations (18.9% saved)

series109.0ms (2.5%)

Error

0.1b

Counts

2 → 24

Calls

2 calls:

47.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
39.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 608 to 503 computations (17.3% saved)

simplify140.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

390×	`distribute-rgt-in_binary64_28`
309×	`distribute-lft-in_binary64_27`
261×	`exp-prod_binary64_130`
217×	`sub-neg_binary64_71`
171×	`distribute-rgt-out_binary64_31`
170×	`times-frac_binary64_84`
164×	`associate-/l*_binary64_23`
145×	`associate-r_binary64_18`
144×	`associate-l_binary64_19`
133×	`distribute-rgt-out--_binary64_32`
121×	`associate-*l/_binary64_21`
107×	`associate-*r/_binary64_20`
102×	`distribute-rgt-neg-in_binary64_36`
96×	`div-sub_binary64_83`
91×	`associate-/r*_binary64_22`
84×	`distribute-neg-frac_binary64_42` `distribute-lft-neg-in_binary64_35`
79×	`+-commutative_binary64_8`
78×	`*-commutative_binary64_9`
77×	`distribute-lft-neg-out_binary64_37`
75×	`unswap-sqr_binary64_46`
71×	`unsub-neg_binary64_72`
70×	`swap-sqr_binary64_45`
67×	`difference-of-squares_binary64_47` `distribute-rgt-neg-out_binary64_38`
59×	`associate-+l+_binary64_11`
56×	`cancel-sign-sub-inv_binary64_44`
53×	`distribute-lft-out_binary64_29`
52×	`neg-sub0_binary64_73`
51×	`associate-+l-_binary64_13`
50×	`associate-/l/_binary64_25`
49×	`associate-+r+_binary64_10`
48×	`exp-sum_binary64_124`
47×	`neg-mul-1_binary64_74` `sqr-pow_binary64_50`
43×	`associate--l+_binary64_15`
41×	`exp-diff_binary64_126`
38×	`distribute-frac-neg_binary64_41` `associate-+r-_binary64_12`
37×	`unpow3_binary64_144`
33×	`distribute-lft-out--_binary64_30`
31×	`associate-/r/_binary64_24`
30×	`cube-prod_binary64_106` `*-rgt-identity_binary64_68`
29×	`associate--r+_binary64_14`
28×	`distribute-neg-in_binary64_39`
25×	`sub0-neg_binary64_65`
22×	`cube-div_binary64_107`
21×	`exp-neg_binary64_125` `+-rgt-identity_binary64_63`
20×	`cube-unmult_binary64_115` `cube-mult_binary64_108` `distribute-rgt1-in_binary64_34`
19×	`*-lft-identity_binary64_67`
17×	`pow-plus_binary64_141`
14×	`/-rgt-identity_binary64_69`
13×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
11×	`distribute-lft1-in_binary64_33`
7×	`div0_binary64_59`
4×	`log-div_binary64_165` `log-prod_binary64_164` `difference-of-sqr--1_binary64_49` `cancel-sign-sub_binary64_43`
3×	`unpow1/2_binary64_142` `rem-sqrt-square_binary64_91` `mul-1-neg_binary64_70` `+-inverses_binary64_57` `pow-sqr_binary64_51`
2×	`log-rec_binary64_166` `rem-3cbrt-lft_binary64_103` `+-lft-identity_binary64_62` `difference-of-sqr-1_binary64_48`
1×	`unpow2_binary64_143` `unpow1_binary64_136` `div-exp_binary64_129` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-3cbrt-rft_binary64_104` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `--rgt-identity_binary64_64` `count-2_binary64_26` `associate--l-_binary64_16`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `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` `rec-exp_binary64_128` `prod-exp_binary64_127` `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-abs_binary64_93` `remove-double-neg_binary64_66` `*-inverses_binary64_58` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `distribute-neg-out_binary64_40` `associate--r-_binary64_17`

Counts

105 → 78

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	144	1568
1	346	1530
2	849	1506
3	2359	1503
4	4708	1503
5	4989	1503
6	4929	1503

prune75.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	4	79

Error

0.1b

Counts

79 → 4

Compiler

Compiled 1121 to 857 computations (23.6% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))
0.1b	(/.f64 -1 (+.f64 x (*.f64 x x)))

rewrite55.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

17×	`*-un-lft-identity_binary64_78`
15×	`times-frac_binary64_84`
12×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100`
5×	`distribute-rgt1-in_binary64_34` `distribute-rgt-out_binary64_31` `associate-/r*_binary64_22`
4×	`add-exp-log_binary64_116` `add-log-exp_binary64_117` `add-cbrt-cube_binary64_114`
3×	`associate-/l*_binary64_23`
2×	`pow1_binary64_139` `flip3-+_binary64_81` `associate-/r/_binary64_24` `flip-+_binary64_52`
1×	`div-exp_binary64_129` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

2 → 50

Calls

2 calls:

5.0ms	(/.f64 -1 (+.f64 x (*.f64 x x)))
3.0ms	(+.f64 x (*.f64 x x))

Compiler

Compiled 723 to 310 computations (57.1% saved)

series113.0ms (2.6%)

Error

0.1b

Counts

2 → 18

Calls

2 calls:

54.0ms	(+.f64 x (*.f64 x x))
46.0ms	(/.f64 -1 (+.f64 x (*.f64 x x)))

Compiler

Compiled 365 to 309 computations (15.3% saved)

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

535×	`times-frac_binary64_84`
425×	`associate-/r*_binary64_22`
384×	`div-sub_binary64_83`
329×	`associate-/l/_binary64_25`
234×	`associate-/l*_binary64_23`
207×	`distribute-rgt-out_binary64_31`
200×	`distribute-rgt-in_binary64_28`
160×	`distribute-lft-in_binary64_27`
129×	`cancel-sign-sub-inv_binary64_44`
126×	`sub-neg_binary64_71`
114×	`unswap-sqr_binary64_46` `associate-l_binary64_19`
101×	`associate-/r/_binary64_24`
100×	`distribute-lft-out_binary64_29`
98×	`associate-r_binary64_18`
53×	`*-commutative_binary64_9`
52×	`distribute-rgt-neg-in_binary64_36`
49×	`exp-prod_binary64_130`
47×	`cube-prod_binary64_106`
45×	`log-div_binary64_165` `distribute-lft-neg-in_binary64_35`
42×	`cube-div_binary64_107`
41×	`log-prod_binary64_164` `distribute-neg-frac_binary64_42`
38×	`+-commutative_binary64_8`
35×	`distribute-rgt-out--_binary64_32`
34×	`sqr-pow_binary64_50`
30×	`distribute-frac-neg_binary64_41`
29×	`associate-+l-_binary64_13` `associate-+l+_binary64_11`
28×	`neg-sub0_binary64_73`
27×	`distribute-lft-neg-out_binary64_37`
26×	`difference-of-squares_binary64_47`
24×	`associate-*r/_binary64_20`
23×	`unsub-neg_binary64_72` `associate-*l/_binary64_21`
22×	`neg-mul-1_binary64_74` `distribute-rgt1-in_binary64_34` `associate-+r-_binary64_12`
20×	`distribute-rgt-neg-out_binary64_38`
18×	`associate--l+_binary64_15` `associate-+r+_binary64_10`
17×	`exp-sum_binary64_124` `sub0-neg_binary64_65`
16×	`distribute-lft-out--_binary64_30`
15×	`unpow3_binary64_144` `pow-plus_binary64_141` `+-rgt-identity_binary64_63` `associate--r+_binary64_14`
13×	`cube-unmult_binary64_115`
12×	`distribute-neg-in_binary64_39` `distribute-lft1-in_binary64_33`
9×	`cube-mult_binary64_108` `*-rgt-identity_binary64_68` `swap-sqr_binary64_45`
6×	`pow-sqr_binary64_51`
5×	`sqr-neg_binary64_92`
4×	`exp-diff_binary64_126` `mul-1-neg_binary64_70` `*-lft-identity_binary64_67`
3×	`log-pow_binary64_167` `/-rgt-identity_binary64_69`
2×	`cube-neg_binary64_105`
1×	`log-rec_binary64_166` `unpow2_binary64_143` `unpow1/2_binary64_142` `unpow1_binary64_136` `prod-exp_binary64_127` `exp-neg_binary64_125` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-sqrt-square_binary64_91` `div0_binary64_59` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `count-2_binary64_26`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90` `remove-double-neg_binary64_66` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `cancel-sign-sub_binary64_43` `distribute-neg-out_binary64_40` `associate--r-_binary64_17` `associate--l-_binary64_16`

Counts

68 → 38

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	1031
1	214	968
2	513	966
3	1382	966
4	4263	966
5	5158	966

prune35.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	4	38
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	36	6	42

Error

0.0b

Counts

42 → 6

Compiler

Compiled 469 to 297 computations (36.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 -1 (+.f64 x 1))
0.2b	(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))

rewrite139.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`add-sqr-sqrt_binary64_100`
42×	`*-un-lft-identity_binary64_78`
40×	`times-frac_binary64_84`
26×	`add-exp-log_binary64_116` `add-cube-cbrt_binary64_113`
18×	`associate-r_binary64_18`
16×	`add-cbrt-cube_binary64_114`
13×	`associate-l_binary64_19`
9×	`div-exp_binary64_129`
8×	`prod-exp_binary64_127`
7×	`distribute-lft-out_binary64_29`
6×	`unswap-sqr_binary64_46`
5×	`cbrt-undiv_binary64_112`
4×	`pow1_binary64_139` `cbrt-unprod_binary64_111` `associate-/r/_binary64_24` `associate-/r*_binary64_22`
3×	`div-inv_binary64_75` `associate-/l*_binary64_23`
2×	`1-exp_binary64_122` `rec-exp_binary64_128` `add-log-exp_binary64_117` `flip3-+_binary64_81` `flip-+_binary64_52`
1×	`pow-prod-down_binary64_149` `frac-times_binary64_88` `associate-l/_binary64_21` `associate-r/_binary64_20` `*-commutative_binary64_9` `frac-2neg_binary64_89` `clear-num_binary64_77`

Counts

2 → 94

Calls

2 calls:

16.0ms	(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
6.0ms	(/.f64 -1 (+.f64 x 1))

Compiler

Compiled 1622 to 1309 computations (19.3% saved)

series105.0ms (2.4%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

46.0ms	(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
39.0ms	(/.f64 -1 (+.f64 x 1))

Compiler

Compiled 608 to 503 computations (17.3% saved)

simplify119.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

613×	`times-frac_binary64_84`
497×	`div-sub_binary64_83`
368×	`associate-/l*_binary64_23`
305×	`distribute-rgt-in_binary64_28`
287×	`associate-*l/_binary64_21`
237×	`associate-/r*_binary64_22`
222×	`cancel-sign-sub-inv_binary64_44`
215×	`associate-*r/_binary64_20`
197×	`sub-neg_binary64_71`
188×	`associate-/l/_binary64_25` `associate-l_binary64_19`
168×	`associate-r_binary64_18`
109×	`*-commutative_binary64_9`
89×	`distribute-rgt-out_binary64_31`
87×	`distribute-frac-neg_binary64_41`
75×	`distribute-rgt-neg-out_binary64_38`
74×	`log-prod_binary64_164`
73×	`distribute-neg-frac_binary64_42`
71×	`cube-prod_binary64_106`
63×	`log-div_binary64_165`
62×	`distribute-lft-neg-out_binary64_37` `associate-/r/_binary64_24`
59×	`unswap-sqr_binary64_46`
58×	`cube-div_binary64_107` `+-commutative_binary64_8`
57×	`associate-+r+_binary64_10`
55×	`associate-+l-_binary64_13`
52×	`*-lft-identity_binary64_67`
51×	`distribute-rgt-neg-in_binary64_36` `distribute-rgt-out--_binary64_32` `associate-+r-_binary64_12` `associate-+l+_binary64_11`
48×	`exp-prod_binary64_130` `distribute-lft-neg-in_binary64_35`
47×	`distribute-neg-in_binary64_39`
45×	`/-rgt-identity_binary64_69`
44×	`sqr-pow_binary64_50`
42×	`remove-double-div_binary64_54`
40×	`neg-sub0_binary64_73`
37×	`distribute-lft-out_binary64_29` `associate--r+_binary64_14`
36×	`associate--l+_binary64_15`
35×	`*-rgt-identity_binary64_68`
28×	`unsub-neg_binary64_72`
27×	`neg-mul-1_binary64_74`
24×	`mul-1-neg_binary64_70`
23×	`+-rgt-identity_binary64_63`
20×	`swap-sqr_binary64_45`
19×	`distribute-lft-in_binary64_27`
18×	`unpow3_binary64_144` `sub0-neg_binary64_65`
15×	`distribute-rgt1-in_binary64_34`
14×	`log-rec_binary64_166` `difference-of-squares_binary64_47`
12×	`cube-unmult_binary64_115` `cube-mult_binary64_108` `distribute-lft-out--_binary64_30`
10×	`sqr-neg_binary64_92` `distribute-lft1-in_binary64_33`
8×	`cube-neg_binary64_105`
6×	`pow-plus_binary64_141` `exp-neg_binary64_125` `exp-sum_binary64_124` `pow-sqr_binary64_51`
5×	`exp-diff_binary64_126` `rem-sqrt-square_binary64_91` `div0_binary64_59` `associate--r-_binary64_17`
4×	`unpow1/2_binary64_142` `difference-of-sqr-1_binary64_48`
3×	`log-pow_binary64_167` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62`
2×	`remove-double-neg_binary64_66`
1×	`unpow2_binary64_143` `unpow1_binary64_136` `1-exp_binary64_122` `exp-1-e_binary64_121` `difference-of-sqr--1_binary64_49` `distribute-neg-out_binary64_40` `count-2_binary64_26`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `cancel-sign-sub_binary64_43` `associate--l-_binary64_16`

Counts

118 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1841
1	395	1650
2	1081	1645
3	3178	1638
4	4716	1638
5	5509	1638

prune93.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	3	0	3
Picked	1	0	1
Done	1	1	2
Total	87	8	95

Error

Counts

95 → 8

Compiler

Compiled 1317 to 997 computations (24.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 -1 (+.f64 x 1))
0.1b	(/.f64 (/.f64 -1 (+.f64 x 1)) x)

rewrite159.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

114×	`times-frac_binary64_84`
94×	`*-un-lft-identity_binary64_78`
62×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100`
21×	`associate-/l*_binary64_23`
16×	`distribute-lft-out_binary64_29`
10×	`associate-/r/_binary64_24`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
7×	`associate-/r*_binary64_22`
6×	`div-inv_binary64_75`
5×	`flip3-+_binary64_81` `flip-+_binary64_52`
4×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
2×	`pow1_binary64_139` `add-log-exp_binary64_117` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`associate-/l/_binary64_25`

Counts

2 → 123

Calls

2 calls:

10.0ms	(/.f64 (/.f64 -1 (+.f64 x 1)) x)
5.0ms	(/.f64 -1 (+.f64 x 1))

Compiler

Compiled 2112 to 1576 computations (25.4% saved)

series102.0ms (2.3%)

Error

Counts

2 → 24

Calls

2 calls:

45.0ms	(/.f64 (/.f64 -1 (+.f64 x 1)) x)
37.0ms	(/.f64 -1 (+.f64 x 1))

Compiler

Compiled 560 to 455 computations (18.8% saved)

simplify155.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

766×	`div-sub_binary64_83`
402×	`associate-/l/_binary64_25`
377×	`associate-/r*_binary64_22`
286×	`times-frac_binary64_84`
250×	`associate-/l*_binary64_23`
212×	`sub-neg_binary64_71`
210×	`distribute-frac-neg_binary64_41`
195×	`associate-/r/_binary64_24`
176×	`associate-l_binary64_19`
133×	`associate-*l/_binary64_21`
121×	`cancel-sign-sub-inv_binary64_44` `associate-r_binary64_18`
112×	`distribute-rgt-neg-out_binary64_38`
111×	`*-commutative_binary64_9`
110×	`distribute-rgt-in_binary64_28`
100×	`log-div_binary64_165`
90×	`log-prod_binary64_164` `distribute-lft-neg-out_binary64_37`
88×	`cube-div_binary64_107` `distribute-lft-in_binary64_27`
85×	`cube-prod_binary64_106`
79×	`unswap-sqr_binary64_46`
78×	`associate-*r/_binary64_20`
71×	`distribute-neg-frac_binary64_42`
54×	`+-commutative_binary64_8`
51×	`neg-sub0_binary64_73`
45×	`associate-+l-_binary64_13`
40×	`neg-mul-1_binary64_74` `associate--l+_binary64_15` `associate-+l+_binary64_11`
38×	`*-rgt-identity_binary64_68`
35×	`associate-+r+_binary64_10`
34×	`unsub-neg_binary64_72` `/-rgt-identity_binary64_69`
33×	`associate--r+_binary64_14`
31×	`distribute-neg-in_binary64_39`
30×	`associate-+r-_binary64_12`
29×	`exp-prod_binary64_130`
26×	`*-lft-identity_binary64_67`
24×	`sqr-pow_binary64_50`
22×	`unpow3_binary64_144` `cube-neg_binary64_105`
21×	`sqr-neg_binary64_92`
20×	`mul-1-neg_binary64_70` `+-rgt-identity_binary64_63` `swap-sqr_binary64_45`
17×	`sub0-neg_binary64_65`
15×	`log-rec_binary64_166` `cube-mult_binary64_108` `div0_binary64_59`
12×	`exp-sum_binary64_124`
11×	`cube-unmult_binary64_115`
8×	`distribute-rgt-out--_binary64_32`
7×	`distribute-rgt-neg-in_binary64_36`
6×	`pow-plus_binary64_141` `remove-double-div_binary64_54` `difference-of-squares_binary64_47` `distribute-rgt-out_binary64_31`
5×	`exp-diff_binary64_126` `exp-neg_binary64_125`
4×	`remove-double-neg_binary64_66` `difference-of-sqr-1_binary64_48` `distribute-rgt1-in_binary64_34`
3×	`log-pow_binary64_167` `distribute-neg-out_binary64_40` `distribute-lft-neg-in_binary64_35` `associate--l-_binary64_16`
2×	`*-inverses_binary64_58`
1×	`unpow2_binary64_143` `unpow1/2_binary64_142` `unpow1_binary64_136` `1-exp_binary64_122` `rem-sqrt-square_binary64_91` `--rgt-identity_binary64_64` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `pow-sqr_binary64_51` `difference-of-sqr--1_binary64_49` `distribute-lft-out_binary64_29` `associate--r-_binary64_17`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90` `+-lft-identity_binary64_62` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `cancel-sign-sub_binary64_43` `distribute-lft1-in_binary64_33` `distribute-lft-out--_binary64_30` `count-2_binary64_26`

Counts

147 → 91

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	209	2793
1	474	2700
2	1225	2683
3	3221	2675
4	4457	2672
5	5380	2672

prune77.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	91	8	99

Error

Counts

99 → 8

Compiler

Compiled 1214 to 853 computations (29.7% saved)

regimes318.0ms (7.3%)

Accuracy

Total 0.1b remaining (97.3%)

Threshold costs 0.1b (97.3%)

Compiler

Compiled 3102 to 2496 computations (19.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1× 1-exp_binary64_122 *-lft-identity_binary64_67 *-commutative_binary64_9 +-commutative_binary64_8

0× not-true not-false not-not not-and not-or and-true-l and-true-r and-false-l and-false-r and-same or-true-l or-true-r or-false-l or-false-r or-same if-if-and-not_binary64_338 if-if-and_binary64_337 if-if-or-not_binary64_336 if-if-or_binary64_335 if-not_binary64_334 if-same_binary64_333 if-false_binary64_332 if-true_binary64_331 tan-0_binary64_207 cos-0_binary64_206 sin-0_binary64_205 unpow1_binary64_136 e-exp-1_binary64_123 exp-1-e_binary64_121 exp-0_binary64_120 sqr-abs_binary64_93 sqr-neg_binary64_92 neg-mul-1_binary64_74 neg-sub0_binary64_73 unsub-neg_binary64_72 sub-neg_binary64_71 mul-1-neg_binary64_70 /-rgt-identity_binary64_69 *-rgt-identity_binary64_68 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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	12	10
2	11	10

end0.0ms (0%)

sample2.1s (49%)

Algorithm

1×

intervals

Results

145.0ms	1965×	body	512	valid
117.0ms	4568×	body	128	valid
63.0ms	1059×	body	256	valid
39.0ms	408×	body	1024	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 1503 to 1208 computations (19.6% saved)

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	25	13
4	32	13
5	48	13
6	70	13
7	79	13
8	91	13
9	93	13
10	87	13
11	73	13
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	25	13
4	32	13
5	48	13
6	70	13
7	79	13
8	91	13
9	93	13
10	87	13
11	73	13

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	25	13
4	32	13
5	48	13
6	70	13
7	79	13
8	91	13
9	93	13
10	87	13
11	73	13
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	25	13
4	32	13
5	48	13
6	70	13
7	79	13
8	91	13
9	93	13
10	87	13
11	73	13

Details

analyze150.0ms (3.4%)

sample18.0ms (0.4%)

simplify12.0ms (0.3%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite143.0ms (3.3%)

series109.0ms (2.5%)

simplify140.0ms (3.2%)

prune75.0ms (1.7%)

localize4.0ms (0.1%)

rewrite55.0ms (1.3%)

series113.0ms (2.6%)

simplify82.0ms (1.9%)

prune35.0ms (0.8%)

localize6.0ms (0.1%)

rewrite139.0ms (3.2%)

series105.0ms (2.4%)

simplify119.0ms (2.7%)

prune93.0ms (2.1%)

localize4.0ms (0.1%)

rewrite159.0ms (3.6%)

series102.0ms (2.3%)

simplify155.0ms (3.6%)

prune77.0ms (1.8%)

regimes318.0ms (7.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (49%)

Profiling

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	25	13
4	32	13
5	48	13
6	70	13
7	79	13
8	91	13
9	93	13
10	87	13
11	73	13
0	1	1
1	1	1

Iter	Nodes	Cost
0	7	13
1	12	13
2	18	13
3	25	13
4	32	13
5	48	13
6	70	13
7	79	13
8	91	13
9	93	13
10	87	13
11	73	13