Details

analyze424.0ms (13.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

167×	`unsub-neg_binary64_72`
143×	`distribute-rgt-in_binary64_28`
113×	`sub-neg_binary64_71`
108×	`cancel-sign-sub-inv_binary64_44`
96×	`associate--r+_binary64_14`
71×	`neg-mul-1_binary64_74`
66×	`distribute-lft-in_binary64_27`
63×	`associate-+l-_binary64_13`
58×	`associate-r_binary64_18`
54×	`distribute-neg-out_binary64_40`
52×	`neg-sub0_binary64_73`
48×	`distribute-lft-neg-out_binary64_37`
45×	`distribute-rgt-neg-out_binary64_38`
43×	`distribute-rgt-neg-in_binary64_36`
42×	`distribute-lft-neg-in_binary64_35`
40×	`associate-+r+_binary64_10` `+-commutative_binary64_8`
37×	`*-commutative_binary64_9`
35×	`associate-l_binary64_19`
30×	`associate--l+_binary64_15`
28×	`associate-+l+_binary64_11`
24×	`sub0-neg_binary64_65`
23×	`distribute-neg-in_binary64_39`
22×	`associate--l-_binary64_16`
21×	`associate--r-_binary64_17`
20×	`distribute-rgt-out--_binary64_32`
18×	`mul0-rgt_binary64_61`
16×	`mul0-lft_binary64_60`
15×	`remove-double-neg_binary64_66`
13×	`associate-+r-_binary64_12`
11×	`distribute-rgt-out_binary64_31`
9×	`*-rgt-identity_binary64_68`
7×	`*-lft-identity_binary64_67` `+-rgt-identity_binary64_63` `distribute-lft1-in_binary64_33`
3×	`+-lft-identity_binary64_62` `distribute-lft-out--_binary64_30`
1×	`1-exp_binary64_122` `distribute-lft-out_binary64_29`
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` `--rgt-identity_binary64_64` `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-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-rgt1-in_binary64_34` `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`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	40
1	31	40
2	65	40
3	113	40
4	184	40
5	402	40
6	622	40
7	801	40
8	875	40
9	838	40
10	779	40
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
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)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify20.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

71×	`cancel-sign-sub-inv_binary64_44`
55×	`distribute-rgt-in_binary64_28`
45×	`sub-neg_binary64_71`
43×	`unsub-neg_binary64_72`
33×	`distribute-lft-in_binary64_27` `associate--r+_binary64_14`
23×	`associate-l_binary64_19`
22×	`neg-mul-1_binary64_74` `distribute-lft-neg-out_binary64_37`
21×	`associate-r_binary64_18` `*-commutative_binary64_9`
20×	`associate-+l-_binary64_13`
19×	`distribute-neg-in_binary64_39` `distribute-rgt-neg-in_binary64_36`
17×	`neg-sub0_binary64_73` `distribute-rgt-neg-out_binary64_38`
15×	`associate--l+_binary64_15` `+-commutative_binary64_8`
14×	`sub0-neg_binary64_65`
13×	`associate-+l+_binary64_11`
12×	`associate-+r+_binary64_10`
10×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
8×	`distribute-lft-neg-in_binary64_35` `associate--r-_binary64_17` `associate-+r-_binary64_12`
7×	`+-lft-identity_binary64_62` `distribute-rgt-out--_binary64_32`
6×	`remove-double-neg_binary64_66`
5×	`*-lft-identity_binary64_67`
4×	`*-rgt-identity_binary64_68` `--rgt-identity_binary64_64`
2×	`+-rgt-identity_binary64_63` `distribute-rgt-out_binary64_31`
1×	`1-exp_binary64_122` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-lft-out--_binary64_30` `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` `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` `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-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `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`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	41	10
4	65	10
5	104	10
6	159	10
7	264	10
8	330	10
9	344	10
10	344	10
11	301	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite60.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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)

series361.0ms (11.7%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

199.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
144.0ms	(*.f64 y (-.f64 z x))

Compiler

Compiled 618 to 364 computations (41.1% saved)

simplify91.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

518×	`neg-mul-1_binary64_74`
445×	`distribute-rgt-in_binary64_28`
433×	`distribute-lft-in_binary64_27`
283×	`distribute-rgt-neg-out_binary64_38`
262×	`exp-prod_binary64_130`
260×	`unsub-neg_binary64_72`
254×	`distribute-lft-neg-out_binary64_37`
196×	`*-commutative_binary64_9`
156×	`times-frac_binary64_84`
150×	`associate--r+_binary64_14`
145×	`cancel-sign-sub-inv_binary64_44`
130×	`distribute-rgt-neg-in_binary64_36`
122×	`distribute-neg-in_binary64_39`
114×	`associate--l+_binary64_15`
102×	`sub-neg_binary64_71`
100×	`exp-sum_binary64_124`
88×	`neg-sub0_binary64_73`
86×	`distribute-lft-neg-in_binary64_35` `associate-l_binary64_19`
74×	`distribute-rgt-out_binary64_31`
73×	`associate-r_binary64_18`
70×	`exp-diff_binary64_126`
65×	`sqr-pow_binary64_50` `associate-+l+_binary64_11`
54×	`cube-prod_binary64_106`
53×	`associate-+r+_binary64_10`
51×	`distribute-rgt-out--_binary64_32`
50×	`swap-sqr_binary64_45`
48×	`div-sub_binary64_83`
39×	`+-commutative_binary64_8`
37×	`*-lft-identity_binary64_67`
34×	`log-prod_binary64_164` `*-rgt-identity_binary64_68`
24×	`remove-double-neg_binary64_66`
20×	`sqr-neg_binary64_92` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `unswap-sqr_binary64_46`
18×	`associate-+l-_binary64_13`
16×	`associate--r-_binary64_17`
15×	`associate-+r-_binary64_12`
12×	`+-rgt-identity_binary64_63`
11×	`cube-neg_binary64_105` `distribute-neg-out_binary64_40` `distribute-lft-out_binary64_29`
10×	`unpow3_binary64_144` `difference-of-squares_binary64_47` `associate-/l*_binary64_23` `associate--l-_binary64_16`
9×	`exp-neg_binary64_125`
8×	`sub0-neg_binary64_65`
7×	`cube-unmult_binary64_115` `distribute-lft-out--_binary64_30`
6×	`mul-1-neg_binary64_70` `pow-sqr_binary64_51`
5×	`unpow1/2_binary64_142` `rem-sqrt-square_binary64_91` `distribute-rgt1-in_binary64_34`
4×	`cube-mult_binary64_108` `distribute-lft1-in_binary64_33` `associate-*r/_binary64_20`
3×	`cancel-sign-sub_binary64_43` `associate-*l/_binary64_21`
2×	`pow-plus_binary64_141`
1×	`div-exp_binary64_129` `prod-exp_binary64_127` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-3cbrt-lft_binary64_103` `rem-square-sqrt_binary64_90` `--rgt-identity_binary64_64` `distribute-frac-neg_binary64_41` `count-2_binary64_26` `associate-/l/_binary64_25`
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` `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` `rec-exp_binary64_128` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `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` `/-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 → 54

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	101	785
1	243	764
2	775	764
3	2409	764
4	4355	764
5	5323	764

prune32.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	52	2	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	3	55

Error

0.0b

Counts

55 → 3

Compiler

Compiled 534 to 110 computations (79.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite35.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-log-exp_binary64_117`
4×	`sum-log_binary64_169`
2×	`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`
1×	`distribute-lft-neg-out_binary64_37` `unsub-neg_binary64_72` `associate-+l+_binary64_11`

Counts

2 → 25

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 z y) x) (.f64 (neg.f64 x) y))
4.0ms	(+.f64 (*.f64 z y) x)

Compiler

Compiled 465 to 93 computations (80% saved)

series288.0ms (9.3%)

Error

0.0b

Counts

2 → 36

Calls

2 calls:

173.0ms	(+.f64 (+.f64 (.f64 z y) x) (.f64 (neg.f64 x) y))
95.0ms	(+.f64 (*.f64 z y) x)

Compiler

Compiled 719 to 404 computations (43.8% saved)

simplify84.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

710×	`neg-mul-1_binary64_74`
479×	`distribute-rgt-neg-out_binary64_38`
408×	`associate-l_binary64_19`
396×	`distribute-lft-neg-out_binary64_37`
375×	`associate-r_binary64_18`
371×	`unsub-neg_binary64_72`
329×	`distribute-rgt-in_binary64_28`
296×	`distribute-lft-in_binary64_27`
250×	`times-frac_binary64_84`
151×	`distribute-neg-in_binary64_39`
142×	`sub-neg_binary64_71`
139×	`distribute-neg-out_binary64_40`
117×	`neg-sub0_binary64_73`
115×	`cancel-sign-sub-inv_binary64_44`
112×	`exp-prod_binary64_130`
107×	`cancel-sign-sub_binary64_43`
98×	`*-commutative_binary64_9`
85×	`associate-+l+_binary64_11`
75×	`exp-sum_binary64_124`
64×	`distribute-rgt-neg-in_binary64_36`
63×	`sqr-pow_binary64_50`
60×	`associate-+r+_binary64_10`
56×	`exp-diff_binary64_126` `cube-prod_binary64_106`
54×	`unswap-sqr_binary64_46`
50×	`distribute-lft-neg-in_binary64_35`
44×	`+-commutative_binary64_8`
36×	`distribute-rgt-out_binary64_31`
30×	`associate-+l-_binary64_13`
29×	`swap-sqr_binary64_45`
26×	`associate-+r-_binary64_12`
24×	`distribute-rgt-out--_binary64_32`
22×	`div-sub_binary64_83` `*-rgt-identity_binary64_68` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `distribute-lft-out_binary64_29`
18×	`remove-double-neg_binary64_66`
17×	`sqr-neg_binary64_92`
15×	`associate--l+_binary64_15`
13×	`unpow3_binary64_144` `+-rgt-identity_binary64_63`
11×	`cube-neg_binary64_105` `sub0-neg_binary64_65` `difference-of-squares_binary64_47` `associate--r+_binary64_14`
10×	`cube-unmult_binary64_115` `associate--r-_binary64_17`
9×	`mul-1-neg_binary64_70`
8×	`cube-mult_binary64_108`
7×	`exp-neg_binary64_125` `pow-sqr_binary64_51`
6×	`distribute-lft-out--_binary64_30` `associate--l-_binary64_16`
5×	`prod-exp_binary64_127`
4×	`log-prod_binary64_164` `--rgt-identity_binary64_64`
3×	`associate-l/_binary64_21` `associate-r/_binary64_20`
2×	`div-exp_binary64_129` `-lft-identity_binary64_67` `distribute-frac-neg_binary64_41` `distribute-rgt1-in_binary64_34` `associate-/l_binary64_23`
1×	`pow-plus_binary64_141` `1-exp_binary64_122` `exp-1-e_binary64_121` `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` `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-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `rec-exp_binary64_128` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `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` `/-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` `count-2_binary64_26` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/r_binary64_22`

Counts

61 → 48

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	67	684
1	211	597
2	661	576
3	2713	576
4	4294	576
5	5494	576

prune29.0ms (0.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	48	3	51

Error

0.0b

Counts

51 → 3

Compiler

Compiled 535 to 84 computations (84.3% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (sqrt.f64 x) (sqrt.f64 z))
0.0b	(-.f64 (sqrt.f64 z) (sqrt.f64 x))
0.1b	(*.f64 y (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
0.1b	(.f64 (.f64 y (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (-.f64 (sqrt.f64 z) (sqrt.f64 x)))

rewrite147.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_100`
29×	`*-un-lft-identity_binary64_78`
25×	`sqrt-prod_binary64_94`
18×	`cancel-sign-sub-inv_binary64_44`
14×	`associate-r_binary64_18`
13×	`add-cube-cbrt_binary64_113`
11×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
10×	`associate-*r/_binary64_20`
8×	`add-log-exp_binary64_117` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `difference-of-squares_binary64_47`
5×	`flip3-+_binary64_81` `flip-+_binary64_52`
4×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `flip3--_binary64_82` `frac-times_binary64_88` `flip--_binary64_53` `associate-l_binary64_19` `distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29`
3×	`sub-neg_binary64_71`
2×	`associate-l/_binary64_21` `-commutative_binary64_9`
1×	`unswap-sqr_binary64_46` `diff-log_binary64_170` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

4 → 106

Calls

4 calls:

19.0ms	(.f64 (.f64 y (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (-.f64 (sqrt.f64 z) (sqrt.f64 x)))
10.0ms	(*.f64 y (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
7.0ms	(-.f64 (sqrt.f64 z) (sqrt.f64 x))
6.0ms	(+.f64 (sqrt.f64 x) (sqrt.f64 z))

Compiler

Compiled 2627 to 486 computations (81.5% saved)

series496.0ms (16%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

281.0ms	(.f64 (.f64 y (+.f64 (sqrt.f64 x) (sqrt.f64 z))) (-.f64 (sqrt.f64 z) (sqrt.f64 x)))
108.0ms	(*.f64 y (+.f64 (sqrt.f64 x) (sqrt.f64 z)))
47.0ms	(-.f64 (sqrt.f64 z) (sqrt.f64 x))
40.0ms	(+.f64 (sqrt.f64 x) (sqrt.f64 z))

Compiler

Compiled 1328 to 794 computations (40.2% saved)

simplify104.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

374×	`associate-+r+_binary64_10`
370×	`associate-+l+_binary64_11`
290×	`associate-l_binary64_19`
223×	`associate-r_binary64_18`
193×	`exp-prod_binary64_130`
174×	`+-commutative_binary64_8`
156×	`unsub-neg_binary64_72`
155×	`neg-sub0_binary64_73`
152×	`*-commutative_binary64_9`
151×	`neg-mul-1_binary64_74`
150×	`distribute-rgt-in_binary64_28`
144×	`distribute-rgt-neg-in_binary64_36`
142×	`distribute-lft-in_binary64_27`
123×	`distribute-rgt-neg-out_binary64_38`
120×	`distribute-lft-neg-in_binary64_35`
109×	`distribute-lft-neg-out_binary64_37`
89×	`exp-sum_binary64_124` `sub-neg_binary64_71`
83×	`sqr-pow_binary64_50`
78×	`cancel-sign-sub-inv_binary64_44`
63×	`associate-+l-_binary64_13`
62×	`associate-+r-_binary64_12`
60×	`*-lft-identity_binary64_67`
58×	`associate--r+_binary64_14`
48×	`distribute-rgt-out_binary64_31`
37×	`*-rgt-identity_binary64_68`
35×	`exp-diff_binary64_126` `unswap-sqr_binary64_46`
34×	`distribute-neg-in_binary64_39`
28×	`log-prod_binary64_164`
25×	`swap-sqr_binary64_45`
24×	`cube-prod_binary64_106`
22×	`distribute-lft-out_binary64_29`
17×	`distribute-neg-out_binary64_40`
16×	`distribute-rgt-out--_binary64_32`
15×	`exp-neg_binary64_125`
14×	`+-rgt-identity_binary64_63` `associate-/l*_binary64_23`
13×	`pow-sqr_binary64_51`
12×	`difference-of-squares_binary64_47`
11×	`div-sub_binary64_83` `sub0-neg_binary64_65` `associate--l+_binary64_15`
7×	`cube-unmult_binary64_115`
6×	`unpow3_binary64_144`
5×	`rem-sqrt-square_binary64_91` `associate--r-_binary64_17`
4×	`cube-mult_binary64_108`
3×	`unpow1/2_binary64_142` `rem-square-sqrt_binary64_90` `associate-/l/_binary64_25` `associate-*r/_binary64_20`
2×	`count-2_binary64_26`
1×	`unpow2_binary64_143` `unpow1_binary64_136` `div-exp_binary64_129` `prod-exp_binary64_127` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-3cbrt-lft_binary64_103` `mul-1-neg_binary64_70` `cancel-sign-sub_binary64_43` `associate-/r/_binary64_24` `associate-/r*_binary64_22`
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` `pow-plus_binary64_141` `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` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-div_binary64_107` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `times-frac_binary64_84` `/-rgt-identity_binary64_69` `remove-double-neg_binary64_66` `--rgt-identity_binary64_64` `+-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-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-lft-out--_binary64_30` `associate-l/_binary64_21` `associate--l-_binary64_16`

Counts

136 → 104

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	2172
1	443	1993
2	1742	1993
3	2586	1991
4	5026	1991

prune86.0ms (2.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	104	3	107

Error

0.0b

Counts

107 → 3

Compiler

Compiled 1982 to 310 computations (84.4% saved)

regimes122.0ms (3.9%)

Accuracy

Total 0.0b remaining (64.6%)

Threshold costs 0.0b (64.6%)

Compiler

Compiled 576 to 526 computations (8.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64_9` `+-commutative_binary64_8`
4×	`sub-neg_binary64_71`
3×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
2×	`cancel-sign-sub-inv_binary64_44` `distribute-rgt-neg-in_binary64_36`
1×	`distribute-lft-neg-out_binary64_37` `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` `unsub-neg_binary64_72` `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` `distribute-rgt-neg-out_binary64_38`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	16	13
2	26	13
3	32	13
4	36	13
5	37	13
6	37	13

end0.0ms (0%)

sample674.0ms (21.8%)

Algorithm

1×

intervals

Results

192.0ms	8000×	body	128	valid
13.0ms	579×	body	128	invalid

Compiler

Compiled 156 to 141 computations (9.6% saved)

Iter	Nodes	Cost
0	16	40
1	31	40
2	65	40
3	113	40
4	184	40
5	402	40
6	622	40
7	801	40
8	875	40
9	838	40
10	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	41	10
4	65	10
5	104	10
6	159	10
7	264	10
8	330	10
9	344	10
10	344	10
11	301	10

Iter	Nodes	Cost
0	16	40
1	31	40
2	65	40
3	113	40
4	184	40
5	402	40
6	622	40
7	801	40
8	875	40
9	838	40
10	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	41	10
4	65	10
5	104	10
6	159	10
7	264	10
8	330	10
9	344	10
10	344	10
11	301	10

Details

analyze424.0ms (13.7%)

sample17.0ms (0.5%)

simplify20.0ms (0.7%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite60.0ms (1.9%)

series361.0ms (11.7%)

simplify91.0ms (2.9%)

prune32.0ms (1%)

localize7.0ms (0.2%)

rewrite35.0ms (1.1%)

series288.0ms (9.3%)

simplify84.0ms (2.7%)

prune29.0ms (0.9%)

localize12.0ms (0.4%)

rewrite147.0ms (4.8%)

series496.0ms (16%)

simplify104.0ms (3.3%)

prune86.0ms (2.8%)

regimes122.0ms (3.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample674.0ms (21.8%)

Profiling

Iter	Nodes	Cost
0	16	40
1	31	40
2	65	40
3	113	40
4	184	40
5	402	40
6	622	40
7	801	40
8	875	40
9	838	40
10	779	40
0	3	3
1	3	3

Iter	Nodes	Cost
0	7	10
1	11	10
2	22	10
3	41	10
4	65	10
5	104	10
6	159	10
7	264	10
8	330	10
9	344	10
10	344	10
11	301	10