Details

analyze1.2s (4%)

Algorithm

1×	search
2×	egg-herbie

Rules

768×	`times-frac_binary64_84`
532×	`div-sub_binary64_83`
475×	`distribute-rgt-in_binary64_28`
322×	`distribute-neg-in_binary64_39`
318×	`cancel-sign-sub-inv_binary64_44`
294×	`distribute-rgt-neg-in_binary64_36`
276×	`associate-/l*_binary64_23`
260×	`distribute-neg-frac_binary64_42`
236×	`associate-l_binary64_19`
222×	`associate-r_binary64_18`
219×	`distribute-lft-in_binary64_27`
208×	`*-commutative_binary64_9`
190×	`associate-/r*_binary64_22`
183×	`distribute-lft-neg-in_binary64_35`
182×	`sub-neg_binary64_71`
132×	`associate-+r+_binary64_10`
128×	`associate-+l+_binary64_11`
107×	`+-commutative_binary64_8`
94×	`neg-mul-1_binary64_74`
92×	`distribute-rgt-out_binary64_31`
82×	`neg-sub0_binary64_73`
75×	`distribute-lft-neg-out_binary64_37`
69×	`associate-*r/_binary64_20`
61×	`associate-*l/_binary64_21`
59×	`associate-/r/_binary64_24`
43×	`-rgt-identity_binary64_68` `-lft-identity_binary64_67`
40×	`distribute-rgt-out--_binary64_32`
34×	`unsub-neg_binary64_72`
32×	`associate--r+_binary64_14`
30×	`associate-+l-_binary64_13`
24×	`distribute-lft-out_binary64_29`
22×	`sub0-neg_binary64_65`
20×	`associate-+r-_binary64_12`
17×	`associate-/l/_binary64_25`
16×	`+-rgt-identity_binary64_63`
15×	`/-rgt-identity_binary64_69`
12×	`distribute-rgt-neg-out_binary64_38` `associate--l+_binary64_15`
10×	`--rgt-identity_binary64_64`
4×	`remove-double-neg_binary64_66` `+-lft-identity_binary64_62` `distribute-rgt1-in_binary64_34`
3×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
1×	`1-exp_binary64_122`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `log-prod_binary64_164` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `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` `mul-1-neg_binary64_70` `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-lft1-in_binary64_33` `distribute-lft-out--_binary64_30` `count-2_binary64_26` `associate--r-_binary64_17` `associate--l-_binary64_16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	164
1	132	164
2	312	164
3	637	164
4	1194	164
5	2575	164
6	4540	164
7	4990	164
8	5644	164
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	74.9%	25.1%	8
0%	74.9%	25.1%	9
9.4%	65.5%	25.1%	10
9.4%	53%	37.6%	11
14%	48.4%	37.6%	12
16.4%	46%	37.6%	13
16.4%	39.8%	43.8%	14

Compiler

Compiled 28 to 21 computations (25% saved)

sample61.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	172×	body	128	valid
10.0ms	27×	body	1024	nan
8.0ms	29×	body	1024	valid
6.0ms	27×	body	512	valid
4.0ms	26×	body	256	valid
3.0ms	37×	body	128	nan
3.0ms	13×	body	512	nan
1.0ms	6×	body	256	nan
1.0ms	2×	body	2048	valid

Compiler

Compiled 55 to 44 computations (20% saved)

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

706×	`div-sub_binary64_83`
508×	`distribute-neg-in_binary64_39`
500×	`distribute-rgt-in_binary64_28`
420×	`distribute-lft-in_binary64_27`
403×	`cancel-sign-sub-inv_binary64_44`
336×	`times-frac_binary64_84`
329×	`sub-neg_binary64_71`
327×	`distribute-neg-frac_binary64_42`
259×	`distribute-rgt-neg-in_binary64_36`
231×	`associate-/l*_binary64_23`
219×	`unsub-neg_binary64_72`
166×	`associate-/r*_binary64_22`
157×	`distribute-lft-neg-in_binary64_35`
136×	`neg-mul-1_binary64_74`
130×	`neg-sub0_binary64_73`
124×	`associate-l_binary64_19`
122×	`associate-r_binary64_18` `associate--r+_binary64_14`
103×	`associate-/r/_binary64_24`
98×	`*-rgt-identity_binary64_68`
96×	`associate-*l/_binary64_21`
90×	`associate--l+_binary64_15`
86×	`*-commutative_binary64_9`
81×	`associate-*r/_binary64_20`
69×	`distribute-rgt-out_binary64_31`
65×	`associate-+l+_binary64_11`
61×	`*-lft-identity_binary64_67`
59×	`associate-+r+_binary64_10`
55×	`distribute-rgt-out--_binary64_32`
47×	`associate--r-_binary64_17`
44×	`remove-double-neg_binary64_66` `distribute-lft-neg-out_binary64_37`
38×	`+-commutative_binary64_8`
35×	`associate-/l/_binary64_25`
30×	`sub0-neg_binary64_65`
24×	`/-rgt-identity_binary64_69` `mul0-rgt_binary64_61` `mul0-lft_binary64_60`
16×	`associate--l-_binary64_16` `associate-+l-_binary64_13`
14×	`--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `div0_binary64_59`
10×	`distribute-lft-out_binary64_29`
9×	`+-lft-identity_binary64_62` `distribute-rgt-neg-out_binary64_38`
7×	`distribute-frac-neg_binary64_41` `associate-+r-_binary64_12`
3×	`remove-double-div_binary64_54` `distribute-rgt1-in_binary64_34` `distribute-lft-out--_binary64_30`
2×	`sqr-neg_binary64_92` `distribute-neg-out_binary64_40`
1×	`1-exp_binary64_122` `distribute-lft1-in_binary64_33`
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` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `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` `count-2_binary64_26`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	41
1	46	41
2	95	41
3	184	41
4	355	41
5	714	41
6	1619	41
7	3620	41
8	4716	41
9	5192	41

prune2.0ms (0%)

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

44.4b

Counts

1 → 1

Compiler

Compiled 27 to 20 computations (25.9% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
0.4b	(*.f64 (sqrt.f64 2) t)
14.3b	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
22.5b	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))

rewrite354.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

44.3b

Rules

17×	`add-sqr-sqrt_binary64_100`
13×	`sqrt-prod_binary64_94`
12×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
7×	`pow1_binary64_139`
6×	`add-log-exp_binary64_117` `associate-l_binary64_19` `times-frac_binary64_84` `associate-/r*_binary64_22`
4×	`sqrt-div_binary64_95`
3×	`flip3--_binary64_82` `flip--_binary64_53` `associate-r_binary64_18`
2×	`associate--l+_binary64_15` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-/r/_binary64_24`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `diff-log_binary64_170` `sub-neg_binary64_71` `cancel-sign-sub-inv_binary64_44` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `pow-prod-down_binary64_149` `-commutative_binary64_9` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23`

Counts

4 → 80

Calls

4 calls:

20.0ms	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
16.0ms	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
15.0ms	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
10.0ms	(*.f64 (sqrt.f64 2) t)

Compiler

Compiled 3282 to 1868 computations (43.1% saved)

series4.3s (14.9%)

Error

4.4b

Counts

4 → 53

Calls

4 calls:

2.0s	(/.f64 (.f64 (sqrt.f64 2) t) (sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (.f64 l l))))
1.1s	(-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l))
1.0s	(sqrt.f64 (-.f64 (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (+.f64 (.f64 l l) (.f64 2 (.f64 t t)))) (*.f64 l l)))
45.0ms	(*.f64 (sqrt.f64 2) t)

Compiler

Compiled 6741 to 5614 computations (16.7% saved)

simplify169.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

301×	`distribute-rgt-in_binary64_28`
271×	`distribute-lft-in_binary64_27`
180×	`associate-l_binary64_19`
179×	`associate-/l*_binary64_23`
165×	`cancel-sign-sub-inv_binary64_44`
157×	`*-commutative_binary64_9`
156×	`associate-r_binary64_18`
144×	`distribute-rgt-neg-in_binary64_36`
133×	`times-frac_binary64_84`
129×	`distribute-lft-neg-in_binary64_35`
110×	`div-sub_binary64_83`
107×	`associate-*r/_binary64_20`
103×	`associate-/r*_binary64_22`
102×	`associate-*l/_binary64_21`
96×	`distribute-neg-frac_binary64_42`
94×	`+-commutative_binary64_8`
91×	`distribute-rgt-out_binary64_31`
89×	`sub-neg_binary64_71`
75×	`exp-prod_binary64_130`
66×	`associate-+r+_binary64_10`
59×	`neg-sub0_binary64_73`
56×	`associate-+l+_binary64_11`
52×	`neg-mul-1_binary64_74`
50×	`distribute-neg-in_binary64_39`
48×	`sqr-pow_binary64_50`
38×	`cube-prod_binary64_106`
36×	`cube-div_binary64_107` `associate-/l/_binary64_25`
33×	`distribute-lft-out_binary64_29`
32×	`*-rgt-identity_binary64_68`
30×	`log-div_binary64_165`
29×	`unsub-neg_binary64_72` `unswap-sqr_binary64_46`
24×	`log-prod_binary64_164` `unpow3_binary64_144` `associate-/r/_binary64_24`
23×	`associate--l+_binary64_15`
22×	`/-rgt-identity_binary64_69`
21×	`distribute-rgt-out--_binary64_32`
19×	`cube-mult_binary64_108`
16×	`exp-sum_binary64_124` `distribute-lft-neg-out_binary64_37` `associate--r+_binary64_14`
15×	`*-lft-identity_binary64_67`
14×	`distribute-lft-out--_binary64_30`
8×	`pow-plus_binary64_141` `cube-unmult_binary64_115`
7×	`mul-1-neg_binary64_70`
6×	`pow-sqr_binary64_51` `swap-sqr_binary64_45`
5×	`log-rec_binary64_166` `exp-diff_binary64_126` `rem-sqrt-square_binary64_91` `difference-of-squares_binary64_47`
4×	`unpow1/2_binary64_142` `exp-lft-sqr_binary64_133` `+-rgt-identity_binary64_63` `distribute-rgt-neg-out_binary64_38` `distribute-rgt1-in_binary64_34` `associate-+r-_binary64_12`
3×	`unpow2_binary64_143` `unpow1_binary64_136`
2×	`log-pow_binary64_167` `rem-square-sqrt_binary64_90`
1×	`div-exp_binary64_129` `prod-exp_binary64_127` `1-exp_binary64_122` `exp-1-e_binary64_121` `sqr-neg_binary64_92` `*-inverses_binary64_58` `difference-of-sqr--1_binary64_49`
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` `exp-sqrt_binary64_131` `rec-exp_binary64_128` `exp-neg_binary64_125` `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` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate-+l-_binary64_13`

Counts

133 → 96

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	5681
1	756	5143
2	2810	4860
3	4828	4860
4	5068	4860

prune145.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	89	7	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	7	97

Error

4.4b

Counts

97 → 7

Compiler

Compiled 2793 to 1743 computations (37.6% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.0b	(/.f64 (*.f64 l l) x)
10.0b	(/.f64 (*.f64 t t) x)
12.0b	(/.f64 (.f64 l l) (.f64 x x))
29.3b	(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))) (/.f64 (*.f64 l l) x)))))

rewrite339.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

4.3b

Rules

30×	`frac-add_binary64_86`
28×	`associate-*r/_binary64_20`
26×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
22×	`sqrt-div_binary64_95`
19×	`flip3-+_binary64_81` `flip-+_binary64_52`
10×	`add-sqr-sqrt_binary64_100`
9×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
8×	`frac-times_binary64_88` `div-exp_binary64_129` `cbrt-undiv_binary64_112`
7×	`times-frac_binary64_84` `associate-/r*_binary64_22`
6×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111`
5×	`pow1_binary64_139`
4×	`add-log-exp_binary64_117` `associate-*l/_binary64_21`
3×	`sqrt-prod_binary64_94` `frac-2neg_binary64_89` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l*_binary64_23`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91`

Counts

4 → 98

Calls

4 calls:

15.0ms	(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))) (/.f64 (*.f64 l l) x)))))
7.0ms	(/.f64 (.f64 l l) (.f64 x x))
5.0ms	(/.f64 (*.f64 l l) x)
5.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 6550 to 2202 computations (66.4% saved)

series1.8s (6.3%)

Error

0.4b

Counts

4 → 38

Calls

4 calls:

1.4s	(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (+.f64 (.f64 t t) (/.f64 (.f64 l l) (.f64 x x))) (/.f64 (*.f64 l l) x)))))
137.0ms	(/.f64 (.f64 l l) (.f64 x x))
106.0ms	(/.f64 (*.f64 l l) x)
96.0ms	(/.f64 (*.f64 t t) x)

Compiler

Compiled 5983 to 4838 computations (19.1% saved)

simplify170.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

374×	`distribute-rgt-in_binary64_28`
362×	`distribute-lft-in_binary64_27`
308×	`times-frac_binary64_84`
240×	`associate-*l/_binary64_21`
214×	`associate-/l*_binary64_23`
197×	`associate-*r/_binary64_20`
173×	`associate-/r*_binary64_22`
147×	`*-commutative_binary64_9`
68×	`associate-r_binary64_18`
66×	`associate-/l/_binary64_25`
63×	`+-commutative_binary64_8`
54×	`associate-l_binary64_19`
47×	`sub-neg_binary64_71`
43×	`cancel-sign-sub-inv_binary64_44` `associate-/r/_binary64_24`
38×	`sqr-pow_binary64_50`
37×	`distribute-rgt-neg-in_binary64_36`
31×	`unswap-sqr_binary64_46`
30×	`log-div_binary64_165`
29×	`neg-sub0_binary64_73`
28×	`distribute-lft-neg-in_binary64_35`
27×	`neg-mul-1_binary64_74`
26×	`unpow3_binary64_144`
24×	`distribute-rgt-out_binary64_31`
21×	`distribute-neg-frac_binary64_42`
20×	`log-prod_binary64_164` `distribute-neg-in_binary64_39`
17×	`cube-div_binary64_107`
15×	`associate-+r+_binary64_10`
14×	`cube-mult_binary64_108`
10×	`cube-prod_binary64_106` `swap-sqr_binary64_45`
7×	`distribute-lft-neg-out_binary64_37`
6×	`pow-plus_binary64_141` `associate--l+_binary64_15`
5×	`difference-of-squares_binary64_47` `distribute-rgt-out--_binary64_32`
4×	`mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `associate-+r-_binary64_12`
3×	`log-pow_binary64_167` `unpow2_binary64_143` `unpow1/2_binary64_142` `unpow1_binary64_136` `rem-sqrt-square_binary64_91` `pow-sqr_binary64_51` `distribute-lft-out_binary64_29` `count-2_binary64_26` `associate--r+_binary64_14`
2×	`log-rec_binary64_166` `unsub-neg_binary64_72`
1×	`exp-prod_binary64_130` `1-exp_binary64_122` `cube-unmult_binary64_115` `rem-square-sqrt_binary64_90` `*-rgt-identity_binary64_68` `distribute-rgt1-in_binary64_34` `distribute-lft-out--_binary64_30` `associate-+l+_binary64_11`
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` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `div-sub_binary64_83` `-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` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-rgt-neg-out_binary64_38` `distribute-lft1-in_binary64_33` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate-+l-_binary64_13`

Counts

136 → 98

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	451	6941
1	1317	6479
2	4936	6469
3	4973	6469

prune236.0ms (0.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	89	9	98
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	94	11	105

Error

0.3b

Counts

105 → 11

Compiler

Compiled 5202 to 2225 computations (57.2% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

12.0b	(/.f64 (.f64 l l) (.f64 x x))
12.0b	(/.f64 (.f64 l l) (.f64 x x))
29.3b	(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (*.f64 t t))))))
29.3b	(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (*.f64 t t))))))

rewrite634.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

60×	`frac-add_binary64_86`
56×	`associate-*r/_binary64_20`
44×	`sqrt-div_binary64_95`
38×	`flip3-+_binary64_81` `flip-+_binary64_52`
28×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
16×	`frac-times_binary64_88`
8×	`add-sqr-sqrt_binary64_100` `associate-*l/_binary64_21` `prod-exp_binary64_127` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `cbrt-unprod_binary64_111`
6×	`pow1_binary64_139` `add-cube-cbrt_binary64_113` `sqrt-prod_binary64_94` `*-un-lft-identity_binary64_78`
4×	`add-log-exp_binary64_117`
2×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `frac-2neg_binary64_89` `times-frac_binary64_84` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23` `associate-/r_binary64_22`

Counts

4 → 112

Calls

4 calls:

18.0ms	(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (*.f64 t t))))))
16.0ms	(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (*.f64 t t))))))
7.0ms	(/.f64 (.f64 l l) (.f64 x x))
7.0ms	(/.f64 (.f64 l l) (.f64 x x))

Compiler

Compiled 13406 to 4253 computations (68.3% saved)

series4.7s (16.4%)

Error

0.3b

Counts

4 → 60

Calls

4 calls:

2.1s	(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (*.f64 t t))))))
2.1s	(sqrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (*.f64 t t))))))
144.0ms	(/.f64 (.f64 l l) (.f64 x x))
136.0ms	(/.f64 (.f64 l l) (.f64 x x))

Compiler

Compiled 18298 to 13579 computations (25.8% saved)

simplify226.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

477×	`associate-l_binary64_19`
385×	`distribute-rgt-in_binary64_28`
373×	`distribute-lft-in_binary64_27`
279×	`times-frac_binary64_84`
187×	`associate-/r*_binary64_22`
173×	`associate-*l/_binary64_21`
167×	`associate-*r/_binary64_20`
161×	`associate-/l*_binary64_23`
156×	`*-commutative_binary64_9`
69×	`+-commutative_binary64_8`
68×	`associate-r_binary64_18`
56×	`cancel-sign-sub-inv_binary64_44`
53×	`sub-neg_binary64_71`
40×	`sqr-pow_binary64_50`
39×	`distribute-rgt-neg-in_binary64_36`
33×	`distribute-neg-in_binary64_39`
31×	`neg-sub0_binary64_73` `unswap-sqr_binary64_46`
29×	`neg-mul-1_binary64_74` `distribute-lft-neg-in_binary64_35`
22×	`distribute-rgt-out_binary64_31`
20×	`associate-+r+_binary64_10`
18×	`unpow3_binary64_144`
16×	`cube-mult_binary64_108`
11×	`cube-div_binary64_107` `distribute-neg-frac_binary64_42`
9×	`cube-prod_binary64_106` `swap-sqr_binary64_45`
8×	`distribute-lft-neg-out_binary64_37`
7×	`associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate--r+_binary64_14`
6×	`distribute-rgt-out--_binary64_32` `associate--l+_binary64_15`
5×	`log-prod_binary64_164` `difference-of-squares_binary64_47`
4×	`mul-1-neg_binary64_70` `associate-+r-_binary64_12`
3×	`log-div_binary64_165` `unpow2_binary64_143` `unpow1_binary64_136` `rem-sqrt-square_binary64_91` `pow-sqr_binary64_51` `distribute-lft-out_binary64_29`
2×	`pow-plus_binary64_141` `rem-square-sqrt_binary64_90` `unsub-neg_binary64_72` `count-2_binary64_26`
1×	`exp-prod_binary64_130` `1-exp_binary64_122` `cube-unmult_binary64_115` `*-rgt-identity_binary64_68` `distribute-rgt1-in_binary64_34` `distribute-lft-out--_binary64_30`
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` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `div-sub_binary64_83` `/-rgt-identity_binary64_69` `-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` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-rgt-neg-out_binary64_38` `distribute-lft1-in_binary64_33` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate-+l-_binary64_13` `associate-+l+_binary64_11`

Counts

172 → 134

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	425	14688
1	1316	13230
2	5330	13230

prune558.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	134	11	145

Error

0.3b

Counts

145 → 11

Compiler

Compiled 12663 to 5401 computations (57.3% saved)

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

12.0b	(/.f64 (.f64 l l) (.f64 x x))
12.0b	(/.f64 (.f64 l l) (.f64 x x))
30.2b	(cbrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (*.f64 t t))))))
30.2b	(cbrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (*.f64 t t))))))

rewrite620.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

60×	`frac-add_binary64_86`
56×	`associate-*r/_binary64_20`
44×	`cbrt-div_binary64_110`
38×	`flip3-+_binary64_81` `flip-+_binary64_52`
28×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
16×	`frac-times_binary64_88`
8×	`associate-*l/_binary64_21` `prod-exp_binary64_127` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `cbrt-unprod_binary64_111`
6×	`add-cube-cbrt_binary64_113` `cbrt-prod_binary64_109` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
4×	`pow1_binary64_139` `add-log-exp_binary64_117`
2×	`pow1/3_binary64_160` `frac-2neg_binary64_89` `times-frac_binary64_84` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/l_binary64_23` `associate-/r_binary64_22`

Counts

4 → 108

Calls

4 calls:

19.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (*.f64 t t))))))
16.0ms	(cbrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (*.f64 t t))))))
7.0ms	(/.f64 (.f64 l l) (.f64 x x))
7.0ms	(/.f64 (.f64 l l) (.f64 x x))

Compiler

Compiled 13324 to 4219 computations (68.3% saved)

series3.4s (11.8%)

Error

0.3b

Counts

4 → 42

Calls

4 calls:

1.5s	(cbrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (*.f64 t t))))))
1.5s	(cbrt.f64 (+.f64 (.f64 (/.f64 (.f64 t t) x) (+.f64 4 (/.f64 4 x))) (.f64 2 (+.f64 (/.f64 (.f64 l l) x) (+.f64 (/.f64 (.f64 l l) (.f64 x x)) (*.f64 t t))))))
135.0ms	(/.f64 (.f64 l l) (.f64 x x))
134.0ms	(/.f64 (.f64 l l) (.f64 x x))

Compiler

Compiled 10560 to 7632 computations (27.7% saved)

simplify247.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

420×	`associate-l_binary64_19`
392×	`associate-r_binary64_18`
382×	`distribute-rgt-in_binary64_28`
374×	`distribute-lft-in_binary64_27`
148×	`associate-*l/_binary64_21`
136×	`times-frac_binary64_84`
131×	`associate-*r/_binary64_20`
128×	`*-commutative_binary64_9`
101×	`associate-/l*_binary64_23`
72×	`associate-/r*_binary64_22`
55×	`cancel-sign-sub-inv_binary64_44`
51×	`+-commutative_binary64_8`
50×	`sqr-pow_binary64_50`
40×	`sub-neg_binary64_71` `distribute-rgt-neg-in_binary64_36`
32×	`distribute-lft-neg-in_binary64_35`
27×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
22×	`unswap-sqr_binary64_46`
20×	`unpow3_binary64_144`
17×	`exp-sum_binary64_124`
14×	`log-div_binary64_165`
13×	`log-prod_binary64_164`
12×	`unpow1/3_binary64_145` `exp-prod_binary64_130` `cube-div_binary64_107`
11×	`distribute-neg-frac_binary64_42`
10×	`cube-mult_binary64_108` `distribute-neg-in_binary64_39` `distribute-lft-neg-out_binary64_37` `distribute-rgt-out_binary64_31`
9×	`swap-sqr_binary64_45` `associate-/r/_binary64_24`
8×	`cube-prod_binary64_106` `associate-+r+_binary64_10`
6×	`distribute-rgt-out--_binary64_32`
5×	`unpow2_binary64_143` `unpow1/2_binary64_142` `unpow1_binary64_136` `exp-diff_binary64_126` `difference-of-squares_binary64_47` `distribute-lft-out_binary64_29`
4×	`pow-plus_binary64_141` `distribute-rgt-neg-out_binary64_38` `associate-+r-_binary64_12`
3×	`log-pow_binary64_167` `pow-sqr_binary64_51` `associate-/l/_binary64_25`
2×	`log-rec_binary64_166` `cube-unmult_binary64_115` `cancel-sign-sub_binary64_43` `distribute-rgt1-in_binary64_34` `count-2_binary64_26` `associate--r+_binary64_14`
1×	`1-exp_binary64_122` `rem-3cbrt-lft_binary64_103` `rem-sqrt-square_binary64_91` `*-rgt-identity_binary64_68` `distribute-lft-out--_binary64_30` `associate--l+_binary64_15`
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-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `div-sub_binary64_83` `unsub-neg_binary64_72` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-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` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-lft1-in_binary64_33` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate-+l-_binary64_13` `associate-+l+_binary64_11`

Counts

150 → 114

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	11778
1	1145	10724
2	4937	10688
3	5010	10688

prune409.0ms (1.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	113	12	125

Error

0.3b

Counts

125 → 12

Compiler

Compiled 9368 to 3647 computations (61.1% saved)

regimes6.1s (21.2%)

Accuracy

Total 10.8b remaining (93.9%)

Threshold costs 0b (0%)

Compiler

Compiled 82875 to 46448 computations (44% saved)

bsearch525.0ms (1.8%)

Steps

Iters	Range		Point
7	3.0592030739247133e-09	7.693130630948629e-07	7.544659758222255e-07
9	-1.103512572819258e-263	-8.435144320302847e-269	-1.0903340959230167e-263
8	-1.1042963564432642e-196	-1.9146526996906667e-200	-1.9467168161159385e-200
10	-1.2107556116656047e-60	-6.581893841039474e-74	-1.1973600433919266e-60

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64_9` `+-commutative_binary64_8`
4×	`sub-neg_binary64_71`
3×	`neg-sub0_binary64_73`
2×	`neg-mul-1_binary64_74` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35`
1×	`1-exp_binary64_122` `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` `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	50	245
1	67	245
2	75	245
3	80	245
4	85	245
5	87	245
6	85	245

end7.0ms (0%)

Compiler: Compiled 161 to 106 computations (34.2% saved)

sample2.4s (8.4%)

Algorithm

1×

intervals

Results

390.0ms	5315×	body	128	valid
313.0ms	1112×	body	1024	valid
219.0ms	804×	body	1024	nan
200.0ms	933×	body	512	valid
113.0ms	568×	body	512	nan
106.0ms	1547×	body	128	nan
86.0ms	570×	body	256	valid
38.0ms	289×	body	256	nan
27.0ms	70×	body	2048	valid

Compiler

Compiled 900 to 508 computations (43.6% saved)

Details

analyze1.2s (4%)

sample61.0ms (0.2%)

simplify76.0ms (0.3%)

prune2.0ms (0%)

localize17.0ms (0.1%)

rewrite354.0ms (1.2%)

series4.3s (14.9%)

simplify169.0ms (0.6%)

prune145.0ms (0.5%)

localize25.0ms (0.1%)

rewrite339.0ms (1.2%)

series1.8s (6.3%)

simplify170.0ms (0.6%)

prune236.0ms (0.8%)

localize29.0ms (0.1%)

rewrite634.0ms (2.2%)

series4.7s (16.4%)

simplify226.0ms (0.8%)

prune558.0ms (1.9%)

localize32.0ms (0.1%)

rewrite620.0ms (2.2%)

series3.4s (11.8%)

simplify247.0ms (0.9%)

prune409.0ms (1.4%)

regimes6.1s (21.2%)

bsearch525.0ms (1.8%)

simplify11.0ms (0%)

end7.0ms (0%)

sample2.4s (8.4%)

Profiling