Details

analyze255.0ms (7%)

Algorithm

1×

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify673.0ms (18.4%)

Algorithm

1×	egg-herbie

Rules

784×	`exp-prod_binary64_130`
611×	`swap-sqr_binary64_45`
394×	`distribute-rgt-neg-in_binary64_36`
299×	`distribute-neg-in_binary64_39`
271×	`unsub-neg_binary64_72`
263×	`distribute-lft-neg-in_binary64_35`
247×	`associate-/l*_binary64_23`
230×	`exp-sum_binary64_124`
165×	`distribute-rgt-in_binary64_28`
164×	`sub-neg_binary64_71`
150×	`*-commutative_binary64_9`
146×	`neg-mul-1_binary64_74`
140×	`neg-sub0_binary64_73`
116×	`sqr-pow_binary64_50`
102×	`associate-r_binary64_18`
101×	`pow-sqr_binary64_51`
99×	`distribute-rgt-out_binary64_31`
96×	`distribute-frac-neg_binary64_41`
94×	`pow-plus_binary64_141`
87×	`distribute-lft-in_binary64_27`
83×	`distribute-rgt1-in_binary64_34` `associate-+l+_binary64_11`
80×	`associate-+r+_binary64_10`
76×	`associate--r+_binary64_14`
70×	`cancel-sign-sub-inv_binary64_44`
69×	`distribute-rgt-out--_binary64_32`
65×	`associate-l_binary64_19`
64×	`associate--l+_binary64_15`
57×	`exp-diff_binary64_126`
46×	`associate-+l-_binary64_13`
44×	`distribute-lft-out_binary64_29` `+-commutative_binary64_8`
40×	`distribute-lft-out--_binary64_30`
29×	`distribute-neg-out_binary64_40` `distribute-lft-neg-out_binary64_37`
28×	`distribute-rgt-neg-out_binary64_38`
27×	`remove-double-neg_binary64_66`
23×	`sqr-neg_binary64_92` `distribute-neg-frac_binary64_42`
16×	`associate-+r-_binary64_12`
12×	`exp-lft-sqr_binary64_133` `sub0-neg_binary64_65` `+-rgt-identity_binary64_63` `distribute-lft1-in_binary64_33`
11×	`*-rgt-identity_binary64_68`
10×	`exp-neg_binary64_125`
9×	`pow-base-1_binary64_138`
8×	`cube-prod_binary64_106` `*-lft-identity_binary64_67` `+-inverses_binary64_57` `count-2_binary64_26`
7×	`+-lft-identity_binary64_62` `mul0-lft_binary64_60`
6×	`cube-unmult_binary64_115` `associate--r-_binary64_17`
5×	`associate--l-_binary64_16`
4×	`mul0-rgt_binary64_61` `difference-of-squares_binary64_47`
3×	`--rgt-identity_binary64_64`
2×	`cube-neg_binary64_105` `difference-of-sqr--1_binary64_49` `unswap-sqr_binary64_46`
1×	`exp-sqrt_binary64_131` `1-exp_binary64_122` `exp-1-e_binary64_121` `div-sub_binary64_83` `/-rgt-identity_binary64_69` `div0_binary64_59` `*-inverses_binary64_58`
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` `exp-to-pow_binary64_140` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-mult_binary64_108` `cube-div_binary64_107` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `times-frac_binary64_84` `mul-1-neg_binary64_70` `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` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-*r/_binary64_20`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	43	10
4	66	10
5	106	10
6	211	10
7	871	10
8	2364	10

prune1.0ms (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

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))

rewrite55.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_100` `cancel-sign-sub-inv_binary64_44`
10×	`*-un-lft-identity_binary64_78`
8×	`add-cube-cbrt_binary64_113` `distribute-rgt-in_binary64_28` `associate-+r+_binary64_10` `distribute-lft-in_binary64_27`
5×	`associate-r_binary64_18`
4×	`add-log-exp_binary64_117` `pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `sub-neg_binary64_71`
3×	`associate-l_binary64_19`
2×	`associate-*r/_binary64_20`
1×	`sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `flip3--_binary64_82` `flip--_binary64_53` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `*-commutative_binary64_9`

Counts

2 → 49

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 z x))
6.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series339.0ms (9.3%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

199.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
122.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 618 to 364 computations (41.1% saved)

simplify144.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

458×	`distribute-rgt-in_binary64_28`
441×	`distribute-lft-in_binary64_27`
324×	`unsub-neg_binary64_72`
296×	`+-commutative_binary64_8`
287×	`distribute-rgt-neg-out_binary64_38`
262×	`distribute-lft-neg-out_binary64_37`
167×	`exp-prod_binary64_130`
161×	`associate--r+_binary64_14`
157×	`*-commutative_binary64_9`
142×	`cancel-sign-sub-inv_binary64_44`
130×	`distribute-rgt-neg-in_binary64_36`
117×	`distribute-neg-in_binary64_39`
115×	`associate--l+_binary64_15`
104×	`sub-neg_binary64_71`
98×	`exp-sum_binary64_124`
96×	`neg-sub0_binary64_73`
88×	`neg-mul-1_binary64_74`
87×	`associate-l_binary64_19`
86×	`distribute-lft-neg-in_binary64_35`
80×	`sqr-pow_binary64_50`
78×	`associate-r_binary64_18`
77×	`associate-+l-_binary64_13`
76×	`distribute-rgt-out_binary64_31`
73×	`associate-+r-_binary64_12`
66×	`associate-+l+_binary64_11`
57×	`associate-+r+_binary64_10`
52×	`distribute-rgt-out--_binary64_32`
51×	`swap-sqr_binary64_45`
44×	`unswap-sqr_binary64_46`
38×	`*-lft-identity_binary64_67`
37×	`*-rgt-identity_binary64_68`
33×	`exp-diff_binary64_126`
29×	`pow-sqr_binary64_51`
27×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
25×	`cube-prod_binary64_106`
24×	`associate--r-_binary64_17`
21×	`remove-double-neg_binary64_66`
20×	`log-prod_binary64_164`
19×	`associate-/l*_binary64_23`
18×	`difference-of-squares_binary64_47`
14×	`+-rgt-identity_binary64_63`
11×	`distribute-neg-out_binary64_40` `distribute-lft-out_binary64_29` `associate--l-_binary64_16`
10×	`exp-neg_binary64_125` `sqr-neg_binary64_92`
8×	`unpow3_binary64_144` `distribute-lft-out--_binary64_30`
7×	`mul-1-neg_binary64_70` `sub0-neg_binary64_65`
6×	`associate-*r/_binary64_20`
5×	`div-sub_binary64_83` `associate-/l/_binary64_25`
4×	`cube-mult_binary64_108` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `associate-*l/_binary64_21`
3×	`cube-unmult_binary64_115` `cancel-sign-sub_binary64_43`
2×	`pow-base-1_binary64_138` `prod-exp_binary64_127` `cube-neg_binary64_105`
1×	`log-pow_binary64_167` `pow-plus_binary64_141` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-log-exp_binary64_119` `rem-3cbrt-lft_binary64_103` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `--rgt-identity_binary64_64` `distribute-frac-neg_binary64_41` `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` `log-rec_binary64_166` `log-div_binary64_165` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow2_binary64_143` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-exp-log_binary64_118` `cube-div_binary64_107` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `times-frac_binary64_84` `/-rgt-identity_binary64_69` `+-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` `distribute-neg-frac_binary64_42` `associate-/r/_binary64_24` `associate-/r_binary64_22`

Counts

82 → 67

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	785
1	250	764
2	791	764
3	2730	764

prune45.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	65	2	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	2	68

Error

Counts

68 → 2

Compiler

Compiled 724 to 152 computations (79% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 z y) x)

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_117`
1×	`sum-log_binary64_169` `pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `flip3-+_binary64_81` `*-un-lft-identity_binary64_78` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 z y) x)

Compiler

Compiled 191 to 53 computations (72.3% saved)

series106.0ms (2.9%)

Error

Counts

1 → 18

Calls

1 calls:

97.0ms

(+.f64 (*.f64 z y) x)

Compiler

Compiled 398 to 213 computations (46.5% saved)

simplify147.0ms (4%)

Algorithm

1×	egg-herbie

Rules

465×	`associate-l_binary64_19`
444×	`unswap-sqr_binary64_46`
412×	`distribute-rgt-in_binary64_28`
359×	`sub-neg_binary64_71`
332×	`distribute-lft-in_binary64_27`
324×	`associate-+l+_binary64_11`
307×	`associate-r_binary64_18`
298×	`times-frac_binary64_84`
244×	`distribute-rgt-out_binary64_31`
238×	`associate-+r+_binary64_10`
148×	`exp-prod_binary64_130`
146×	`neg-mul-1_binary64_74`
134×	`associate-+l-_binary64_13`
126×	`neg-sub0_binary64_73` `unsub-neg_binary64_72`
118×	`sqr-pow_binary64_50`
116×	`cancel-sign-sub-inv_binary64_44`
115×	`distribute-lft-out_binary64_29`
99×	`swap-sqr_binary64_45`
98×	`associate--r+_binary64_14`
93×	`*-commutative_binary64_9`
83×	`distribute-rgt-out--_binary64_32`
78×	`distribute-rgt-neg-in_binary64_36`
72×	`associate-+r-_binary64_12`
70×	`distribute-lft-neg-out_binary64_37`
64×	`pow-sqr_binary64_51`
57×	`distribute-lft-neg-in_binary64_35`
56×	`distribute-rgt-neg-out_binary64_38`
52×	`cube-prod_binary64_106`
47×	`distribute-neg-in_binary64_39` `associate-/l/_binary64_25`
45×	`sub0-neg_binary64_65`
38×	`associate--l-_binary64_16`
35×	`associate-/l*_binary64_23` `+-commutative_binary64_8`
31×	`cube-unmult_binary64_115`
30×	`mul0-lft_binary64_60`
29×	`mul0-rgt_binary64_61`
27×	`cancel-sign-sub_binary64_43` `associate--r-_binary64_17`
26×	`remove-double-neg_binary64_66`
25×	`pow-plus_binary64_141`
24×	`exp-sum_binary64_124` `distribute-neg-out_binary64_40` `associate-*r/_binary64_20`
19×	`count-2_binary64_26`
17×	`unpow3_binary64_144` `distribute-rgt1-in_binary64_34`
15×	`exp-diff_binary64_126`
13×	`+-rgt-identity_binary64_63`
10×	`associate--l+_binary64_15`
9×	`+-inverses_binary64_57`
8×	`div-sub_binary64_83` `--rgt-identity_binary64_64` `associate-/r/_binary64_24`
7×	`associate-*l/_binary64_21`
6×	`cube-mult_binary64_108` `cube-neg_binary64_105` `/-rgt-identity_binary64_69` `+-lft-identity_binary64_62` `distribute-lft-out--_binary64_30`
5×	`exp-neg_binary64_125` `sqr-neg_binary64_92` `difference-of-squares_binary64_47`
2×	`cube-div_binary64_107` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `associate-/r*_binary64_22`
1×	`log-prod_binary64_164` `exp-lft-sqr_binary64_133` `exp-sqrt_binary64_131` `prod-exp_binary64_127` `1-exp_binary64_122` `*-inverses_binary64_58`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow2_binary64_143` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `div-exp_binary64_129` `rec-exp_binary64_128` `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-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `div0_binary64_59` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-lft1-in_binary64_33`

Counts

29 → 16

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	244
1	86	229
2	224	226
3	522	226
4	1166	226
5	2878	226
6	4120	226

prune17.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	16	2	18

Error

Counts

18 → 2

Compiler

Compiled 345 to 88 computations (74.5% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite82.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_109`
23×	`add-sqr-sqrt_binary64_100`
15×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
11×	`pow1_binary64_139`
9×	`pow1/3_binary64_160`
6×	`add-exp-log_binary64_116` `swap-sqr_binary64_45` `associate-l_binary64_19` `associate-r_binary64_18`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `unswap-sqr_binary64_46`
2×	`pow-prod-down_binary64_149` `pow-prod-up_binary64_148` `pow-sqr_binary64_51`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `*-commutative_binary64_9`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1378 to 316 computations (77.1% saved)

series493.0ms (13.5%)

Error

Counts

4 → 12

Calls

4 calls:

130.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
118.0ms	(cbrt.f64 y)
118.0ms	(cbrt.f64 y)
117.0ms	(cbrt.f64 y)

Compiler

Compiled 591 to 400 computations (32.3% saved)

simplify325.0ms (8.9%)

Algorithm

1×	egg-herbie

Rules

545×	`log-prod_binary64_164`
427×	`log-div_binary64_165`
416×	`associate-/l*_binary64_23`
347×	`associate-l_binary64_19`
293×	`associate-/r*_binary64_22`
231×	`associate-r_binary64_18`
203×	`*-commutative_binary64_9`
184×	`associate-/r/_binary64_24`
150×	`distribute-rgt-neg-in_binary64_36`
144×	`distribute-lft-neg-in_binary64_35`
140×	`exp-prod_binary64_130`
128×	`distribute-rgt-in_binary64_28`
123×	`unswap-sqr_binary64_46`
112×	`cube-prod_binary64_106`
95×	`distribute-lft-in_binary64_27`
86×	`swap-sqr_binary64_45`
80×	`associate-/l/_binary64_25`
77×	`sqr-pow_binary64_50`
55×	`log-pow_binary64_167` `distribute-rgt-out_binary64_31`
52×	`times-frac_binary64_84`
47×	`cancel-sign-sub-inv_binary64_44`
42×	`associate-+l+_binary64_11`
39×	`associate-+r+_binary64_10`
38×	`associate-*l/_binary64_21`
37×	`pow-sqr_binary64_51`
30×	`distribute-lft-out_binary64_29`
29×	`cube-div_binary64_107`
28×	`distribute-neg-frac_binary64_42`
24×	`log-rec_binary64_166` `*-rgt-identity_binary64_68`
23×	`*-lft-identity_binary64_67`
22×	`pow-plus_binary64_141`
21×	`associate-*r/_binary64_20`
19×	`exp-sqrt_binary64_131`
18×	`rem-sqrt-square_binary64_91`
15×	`cube-unmult_binary64_115`
13×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
12×	`associate-+l-_binary64_13`
9×	`exp-lft-sqr_binary64_133` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37`
8×	`distribute-rgt1-in_binary64_34` `count-2_binary64_26`
6×	`unpow3_binary64_144` `associate--l-_binary64_16` `associate--l+_binary64_15`
5×	`associate-+r-_binary64_12` `+-commutative_binary64_8`
4×	`div-exp_binary64_129` `prod-exp_binary64_127` `distribute-rgt-out--_binary64_32`
3×	`unpow1/3_binary64_145` `unpow2_binary64_143` `sub-neg_binary64_71` `distribute-lft-out--_binary64_30`
2×	`unpow1_binary64_136` `rec-exp_binary64_128` `exp-sum_binary64_124` `cube-mult_binary64_108` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `/-rgt-identity_binary64_69` `distribute-lft1-in_binary64_33`
1×	`pow-base-1_binary64_138` `exp-diff_binary64_126` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-log-exp_binary64_119` `rem-3cbrt-rft_binary64_104` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `mul0-lft_binary64_60` `*-inverses_binary64_58` `distribute-neg-out_binary64_40`
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` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `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` `unsub-neg_binary64_72` `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` `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_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-in_binary64_39` `associate--r-_binary64_17` `associate--r+_binary64_14`

Counts

85 → 83

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	718
1	97	656
2	345	636
3	1343	633
4	4059	633

prune78.0ms (2.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	83	2	85

Error

Counts

85 → 2

Compiler

Compiled 1579 to 384 computations (75.7% saved)

regimes139.0ms (3.8%)

Accuracy

Total 0.0b remaining (77.6%)

Threshold costs 0.0b (77.6%)

Compiler

Compiled 913 to 654 computations (28.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary64_9`
5×	`+-commutative_binary64_8`
3×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73` `sub-neg_binary64_71`
2×	`cancel-sign-sub-inv_binary64_44`
1×	`unsub-neg_binary64_72` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `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` `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` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	19	13
2	27	13
3	33	13
4	36	13
5	37	13

Proof

(+ f64 (+ f64 (* f64 h0 h1) h2) (=> (* f64 (neg f64 h2) h1)))
distribute-lft-neg-out_binary64_37 =>
(=> (+ f64 (+ f64 (* f64 h0 h1) h2) (neg f64 (* f64 h2 h1))))
unsub-neg_binary64_72 =>
(- f64 (+ f64 (* f64 h0 h1) h2) (=> (* f64 h2 h1)))
*-commutative_binary64_9 =>
(- f64 (+ f64 (* f64 h0 h1) h2) (* f64 h1 h2))

end0.0ms (0%)

sample701.0ms (19.1%)

Algorithm

1×

intervals

Results

186.0ms	8000×	body	128	valid
21.0ms	573×	body	128	invalid

Compiler

Compiled 226 to 164 computations (27.4% saved)

Details

analyze255.0ms (7%)

sample23.0ms (0.6%)

simplify673.0ms (18.4%)

prune1.0ms (0%)

localize5.0ms (0.1%)

rewrite55.0ms (1.5%)

series339.0ms (9.3%)

simplify144.0ms (3.9%)

prune45.0ms (1.2%)

localize7.0ms (0.2%)

rewrite13.0ms (0.4%)

series106.0ms (2.9%)

simplify147.0ms (4%)

prune17.0ms (0.5%)

localize9.0ms (0.2%)

rewrite82.0ms (2.2%)

series493.0ms (13.5%)

simplify325.0ms (8.9%)

prune78.0ms (2.1%)

regimes139.0ms (3.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample701.0ms (19.1%)

Profiling