Details

analyze250.0ms (1.8%)

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
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample21.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify247.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

754×	`unsub-neg_binary64_72`
536×	`sub-neg_binary64_71`
532×	`neg-mul-1_binary64_74`
517×	`neg-sub0_binary64_73`
512×	`div-sub_binary64_83`
509×	`times-frac_binary64_84`
412×	`distribute-lft-neg-out_binary64_37`
322×	`distribute-neg-frac_binary64_42`
321×	`associate-/l*_binary64_23`
264×	`distribute-neg-out_binary64_40`
258×	`remove-double-neg_binary64_66`
247×	`distribute-frac-neg_binary64_41`
246×	`distribute-rgt-in_binary64_28`
217×	`associate-/r*_binary64_22`
195×	`distribute-rgt-out--_binary64_32`
192×	`distribute-neg-in_binary64_39`
187×	`associate-r_binary64_18`
176×	`distribute-lft-in_binary64_27`
159×	`associate-l_binary64_19`
151×	`associate-/r/_binary64_24`
146×	`associate-*l/_binary64_21`
140×	`+-commutative_binary64_8`
138×	`distribute-rgt-out_binary64_31`
137×	`associate-/l/_binary64_25`
106×	`associate-*r/_binary64_20`
99×	`unswap-sqr_binary64_46`
77×	`swap-sqr_binary64_45`
70×	`cancel-sign-sub-inv_binary64_44`
68×	`associate--l-_binary64_16` `associate-+l-_binary64_13`
66×	`associate-+l+_binary64_11`
60×	`distribute-lft-out--_binary64_30`
59×	`distribute-rgt-neg-out_binary64_38`
51×	`*-commutative_binary64_9`
42×	`distribute-rgt-neg-in_binary64_36`
41×	`*-rgt-identity_binary64_68` `mul0-rgt_binary64_61`
38×	`distribute-lft-out_binary64_29`
37×	`/-rgt-identity_binary64_69`
35×	`associate--l+_binary64_15`
34×	`mul0-lft_binary64_60` `associate-+r-_binary64_12`
32×	`div0_binary64_59`
31×	`sqr-neg_binary64_92`
30×	`associate-+r+_binary64_10`
25×	`distribute-lft-neg-in_binary64_35` `associate--r-_binary64_17`
22×	`+-lft-identity_binary64_62`
18×	`*-lft-identity_binary64_67` `associate--r+_binary64_14`
16×	`sub0-neg_binary64_65`
15×	`mul-1-neg_binary64_70` `remove-double-div_binary64_54` `distribute-rgt1-in_binary64_34`
9×	`--rgt-identity_binary64_64`
7×	`+-rgt-identity_binary64_63`
5×	`count-2_binary64_26`
3×	`distribute-lft1-in_binary64_33`
2×	`*-inverses_binary64_58` `lft-mult-inverse_binary64_56`
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` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `+-inverses_binary64_57` `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` `cancel-sign-sub_binary64_43`

Counts

1 → 1

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	30	18
2	81	18
3	183	18
4	302	18
5	348	18
6	463	18
7	695	18
8	1110	16
9	3301	16
10	3694	16
11	4088	16
12	4978	16
13	4978	16
14	4954	16
15	4942	16

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 -1 (/.f64 u t1))
0.0b	(/.f64 v (+.f64 t1 u))
2.0b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite268.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

233×	`times-frac_binary64_84`
194×	`add-sqr-sqrt_binary64_100`
184×	`*-un-lft-identity_binary64_78`
94×	`add-cube-cbrt_binary64_113`
40×	`difference-of-squares_binary64_47`
25×	`distribute-lft-out_binary64_29`
21×	`associate-/l*_binary64_23`
20×	`distribute-lft-out--_binary64_30`
18×	`associate-/r/_binary64_24`
13×	`cancel-sign-sub-inv_binary64_44`
10×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `div-inv_binary64_75` `associate-/r*_binary64_22`
8×	`flip3-+_binary64_81` `flip-+_binary64_52`
5×	`add-log-exp_binary64_117`
4×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
3×	`pow1_binary64_139`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `flip3--_binary64_82` `flip--_binary64_53`
1×	`associate-/l/_binary64_25` `diff-log_binary64_170` `sub-neg_binary64_71`

Counts

3 → 209

Calls

3 calls:

16.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
9.0ms	(/.f64 v (+.f64 t1 u))
7.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 5020 to 1792 computations (64.3% saved)

series465.0ms (3.4%)

Error

0.5b

Counts

3 → 60

Calls

3 calls:

221.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
123.0ms	(/.f64 v (+.f64 t1 u))
66.0ms	(-.f64 -1 (/.f64 u t1))

Compiler

Compiled 2502 to 1718 computations (31.3% saved)

simplify233.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Counts

269 → 228

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	369	7243
1	965	7083
2	2753	7032
3	4459	7026
4	5286	7026

prune219.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	221	7	228
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	221	9	230

Error

0.5b

Counts

230 → 9

Compiler

Compiled 5203 to 1928 computations (62.9% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 v)
0.6b	(cbrt.f64 v)
0.7b	(.f64 (/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (*.f64 (cbrt.f64 (+.f64 t1 u)) (cbrt.f64 (+.f64 t1 u)))) (/.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1))))
0.8b	(/.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))

rewrite1.4s (10.3%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

1244×	`times-frac_binary64_84`
977×	`add-sqr-sqrt_binary64_100`
806×	`*-un-lft-identity_binary64_78`
599×	`cbrt-prod_binary64_109`
456×	`add-cube-cbrt_binary64_113`
294×	`associate-r_binary64_18`
194×	`difference-of-squares_binary64_47`
97×	`distribute-lft-out--_binary64_30`
78×	`add-exp-log_binary64_116` `distribute-lft-out_binary64_29`
48×	`associate-/l*_binary64_23`
42×	`add-cbrt-cube_binary64_114`
38×	`cbrt-div_binary64_110` `associate-/r/_binary64_24`
30×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
27×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111`
19×	`flip3-+_binary64_81` `flip-+_binary64_52`
16×	`div-inv_binary64_75`
13×	`associate-l_binary64_19`
12×	`unswap-sqr_binary64_46`
6×	`pow1_binary64_139` `associate-/r*_binary64_22`
5×	`frac-times_binary64_88`
4×	`add-log-exp_binary64_117`
3×	`associate-l/_binary64_21` `associate-r/_binary64_20`
2×	`flip3--_binary64_82` `flip--_binary64_53` `pow1/3_binary64_160`
1×	`frac-2neg_binary64_89` `clear-num_binary64_77` `associate-/l/_binary64_25` `pow-prod-down_binary64_149` `*-commutative_binary64_9`

Counts

4 → 742

Calls

4 calls:

134.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (*.f64 (cbrt.f64 (+.f64 t1 u)) (cbrt.f64 (+.f64 t1 u)))) (/.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1))))
24.0ms	(/.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
1.0ms	(cbrt.f64 v)
1.0ms	(cbrt.f64 v)

Compiler

Compiled 35372 to 8056 computations (77.2% saved)

series883.0ms (6.4%)

Error

0.3b

Counts

4 → 46

Calls

4 calls:

405.0ms	(/.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
270.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (*.f64 (cbrt.f64 (+.f64 t1 u)) (cbrt.f64 (+.f64 t1 u)))) (/.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1))))
76.0ms	(cbrt.f64 v)
73.0ms	(cbrt.f64 v)

Compiler

Compiled 3507 to 2276 computations (35.1% saved)

simplify593.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

918×	`associate-/l*_binary64_23`
547×	`times-frac_binary64_84`
308×	`*-commutative_binary64_9`
268×	`associate-/l/_binary64_25`
265×	`associate-*r/_binary64_20`
235×	`associate-*l/_binary64_21`
110×	`associate-/r/_binary64_24`
79×	`sub-neg_binary64_71`
57×	`associate-/r*_binary64_22`
47×	`/-rgt-identity_binary64_69`
40×	`neg-sub0_binary64_73`
38×	`sqr-pow_binary64_50`
36×	`distribute-rgt-in_binary64_28`
34×	`distribute-lft-in_binary64_27`
33×	`unswap-sqr_binary64_46`
27×	`cancel-sign-sub-inv_binary64_44`
26×	`div-sub_binary64_83` `neg-mul-1_binary64_74`
22×	`log-div_binary64_165` `+-commutative_binary64_8`
21×	`associate-l_binary64_19`
20×	`exp-prod_binary64_130` `mul-1-neg_binary64_70`
15×	`associate-r_binary64_18`
14×	`distribute-rgt-neg-in_binary64_36`
13×	`distribute-neg-frac_binary64_42`
12×	`distribute-neg-in_binary64_39` `associate-+l-_binary64_13`
11×	`log-prod_binary64_164` `distribute-lft-neg-in_binary64_35`
10×	`exp-sum_binary64_124` `*-lft-identity_binary64_67`
9×	`cube-unmult_binary64_115`
8×	`associate--r+_binary64_14`
7×	`*-rgt-identity_binary64_68`
6×	`unpow1/3_binary64_145` `distribute-lft-neg-out_binary64_37`
4×	`log-rec_binary64_166` `unpow3_binary64_144` `cube-mult_binary64_108` `swap-sqr_binary64_45` `associate-+r-_binary64_12`
3×	`unsub-neg_binary64_72` `distribute-rgt-neg-out_binary64_38` `associate--l+_binary64_15`
2×	`unpow2_binary64_143` `unpow1_binary64_136` `rem-3cbrt-lft_binary64_103` `rem-sqrt-square_binary64_91` `distribute-neg-out_binary64_40` `count-2_binary64_26`
1×	`log-pow_binary64_167` `pow-plus_binary64_141` `1-exp_binary64_122` `cube-div_binary64_107` `rem-3cbrt-rft_binary64_104` `rem-cube-cbrt_binary64_101` `remove-double-neg_binary64_66` `*-inverses_binary64_58` `pow-sqr_binary64_51` `difference-of-squares_binary64_47` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30` `associate--l-_binary64_16` `associate-+r+_binary64_10`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `pow-base-0_binary64_162` `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` `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-prod_binary64_106` `cube-neg_binary64_105` `rem-cbrt-cube_binary64_102` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `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_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-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-rgt-out_binary64_31` `distribute-lft-out_binary64_29` `associate--r-_binary64_17` `associate-+l+_binary64_11`

Counts

788 → 1009

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	925	36999
1	2801	33441
2	5669	33441

prune1.7s (12.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	1006	3	1009
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	1008	10	1018

Error

0.2b

Counts

1018 → 10

Compiler

Compiled 45012 to 11224 computations (75.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.6b	(cbrt.f64 t1)
0.7b	(pow.f64 (cbrt.f64 t1) 3)
2.0b	(/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 -1 (neg.f64 (/.f64 u (pow.f64 (cbrt.f64 t1) 3)))))

rewrite305.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

206×	`*-un-lft-identity_binary64_78`
174×	`times-frac_binary64_84`
86×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100`
60×	`distribute-lft-out_binary64_29`
21×	`associate-/l*_binary64_23`
19×	`distribute-rgt-neg-in_binary64_36`
16×	`associate-/r/_binary64_24`
12×	`add-exp-log_binary64_116`
11×	`add-cbrt-cube_binary64_114`
9×	`associate-/r*_binary64_22` `cbrt-prod_binary64_109`
8×	`div-inv_binary64_75` `flip3-+_binary64_81` `flip-+_binary64_52`
6×	`unpow-prod-down_binary64_157` `cube-prod_binary64_106`
5×	`pow1_binary64_139`
4×	`div-exp_binary64_129` `add-log-exp_binary64_117` `cbrt-undiv_binary64_112`
3×	`pow-unpow_binary64_155`
2×	`frac-2neg_binary64_89` `clear-num_binary64_77` `pow1/3_binary64_160` `pow-pow_binary64_150`
1×	`associate-/l/_binary64_25` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `unpow3_binary64_144` `cube-mult_binary64_108` `rem-cube-cbrt_binary64_101` `sqr-pow_binary64_50`

Counts

4 → 204

Calls

4 calls:

39.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 -1 (neg.f64 (/.f64 u (pow.f64 (cbrt.f64 t1) 3)))))
5.0ms	(/.f64 v (+.f64 t1 u))
3.0ms	(pow.f64 (cbrt.f64 t1) 3)
1.0ms	(cbrt.f64 t1)

Compiler

Compiled 5508 to 2677 computations (51.4% saved)

series646.0ms (4.7%)

Error

0.2b

Counts

4 → 54

Calls

4 calls:

280.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (+.f64 -1 (neg.f64 (/.f64 u (pow.f64 (cbrt.f64 t1) 3)))))
138.0ms	(/.f64 v (+.f64 t1 u))
101.0ms	(pow.f64 (cbrt.f64 t1) 3)
75.0ms	(cbrt.f64 t1)

Compiler

Compiled 2864 to 2082 computations (27.3% saved)

simplify210.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

292×	`cancel-sign-sub-inv_binary64_44`
263×	`distribute-rgt-in_binary64_28`
225×	`distribute-lft-in_binary64_27`
214×	`log-prod_binary64_164`
196×	`exp-prod_binary64_130`
192×	`associate-/l/_binary64_25`
145×	`distribute-rgt-neg-in_binary64_36`
134×	`associate-/r*_binary64_22`
132×	`sub-neg_binary64_71`
131×	`div-sub_binary64_83`
129×	`distribute-lft-neg-in_binary64_35`
110×	`associate-/l*_binary64_23`
94×	`*-commutative_binary64_9`
88×	`times-frac_binary64_84` `associate-r_binary64_18`
83×	`sqr-pow_binary64_50`
82×	`associate-l_binary64_19`
77×	`distribute-neg-frac_binary64_42`
75×	`distribute-rgt-neg-out_binary64_38`
70×	`associate-*l/_binary64_21`
68×	`unpow3_binary64_144`
67×	`cube-prod_binary64_106`
66×	`distribute-lft-neg-out_binary64_37`
54×	`neg-sub0_binary64_73`
49×	`+-commutative_binary64_8`
45×	`unsub-neg_binary64_72`
43×	`associate-*r/_binary64_20`
42×	`distribute-frac-neg_binary64_41`
41×	`neg-mul-1_binary64_74`
40×	`*-rgt-identity_binary64_68` `associate-/r/_binary64_24`
34×	`swap-sqr_binary64_45`
31×	`log-pow_binary64_167` `distribute-neg-in_binary64_39`
25×	`associate--r+_binary64_14`
24×	`distribute-rgt-out_binary64_31`
23×	`unswap-sqr_binary64_46`
22×	`/-rgt-identity_binary64_69`
21×	`difference-of-squares_binary64_47`
19×	`associate--l+_binary64_15`
18×	`pow-plus_binary64_141`
16×	`mul-1-neg_binary64_70` `*-lft-identity_binary64_67` `pow-sqr_binary64_51` `distribute-lft-out_binary64_29`
15×	`log-div_binary64_165`
14×	`cube-mult_binary64_108` `cube-div_binary64_107` `rem-sqrt-square_binary64_91` `associate-+l+_binary64_11`
13×	`distribute-neg-out_binary64_40`
10×	`distribute-rgt-out--_binary64_32`
9×	`cube-unmult_binary64_115`
8×	`associate-+r+_binary64_10`
6×	`rem-cube-cbrt_binary64_101`
5×	`remove-double-neg_binary64_66` `distribute-lft-out--_binary64_30`
4×	`cube-neg_binary64_105` `div0_binary64_59` `associate-+l-_binary64_13`
3×	`unpow1/2_binary64_142` `unpow1_binary64_136` `distribute-rgt1-in_binary64_34`
2×	`unpow1/3_binary64_145` `unpow2_binary64_143` `rem-cbrt-cube_binary64_102` `sqr-neg_binary64_92` `sub0-neg_binary64_65`
1×	`log-rec_binary64_166` `exp-diff_binary64_126` `1-exp_binary64_122` `rem-3cbrt-lft_binary64_103` `rem-square-sqrt_binary64_90` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `associate--l-_binary64_16` `associate-+r-_binary64_12`
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` `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` `rem-3cbrt-rft_binary64_104` `sqr-abs_binary64_93` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `associate--r-_binary64_17`

Counts

258 → 516

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	5927
1	800	5748
2	2479	5672
3	4603	5672
4	4973	5672

prune576.0ms (4.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	516	0	516
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	516	10	526

Error

0.2b

Counts

526 → 10

Compiler

Compiled 13132 to 5341 computations (59.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))))
0.6b	(cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))))
0.6b	(cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))))
0.7b	(.f64 (/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (+.f64 t1 u)) (cbrt.f64 (+.f64 t1 u)))) (.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u)))) (cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))))) (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u)))) (-.f64 -1 (/.f64 u t1)))))

rewrite547.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

279×	`cbrt-prod_binary64_109`
134×	`add-exp-log_binary64_116`
127×	`times-frac_binary64_84`
122×	`*-un-lft-identity_binary64_78`
86×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100`
75×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111`
64×	`add-cbrt-cube_binary64_114`
37×	`cbrt-div_binary64_110`
30×	`div-exp_binary64_129` `cbrt-undiv_binary64_112`
21×	`frac-times_binary64_88`
18×	`distribute-lft-out_binary64_29`
15×	`associate-*r/_binary64_20`
14×	`associate-/r/_binary64_24`
13×	`pow1_binary64_139` `associate-l/_binary64_21` `associate-l*_binary64_19`
9×	`flip3-+_binary64_81` `flip-+_binary64_52`
6×	`pow-prod-down_binary64_149`
4×	`add-log-exp_binary64_117` `div-inv_binary64_75`
3×	`pow1/3_binary64_160`
1×	`associate-r_binary64_18` `*-commutative_binary64_9`

Counts

4 → 261

Calls

4 calls:

77.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (+.f64 t1 u)) (cbrt.f64 (+.f64 t1 u)))) (.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u)))) (cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))))) (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u)))) (-.f64 -1 (/.f64 u t1)))))
8.0ms	(cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))))
8.0ms	(cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))))
8.0ms	(cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))))

Compiler

Compiled 16744 to 2432 computations (85.5% saved)

series1.4s (9.9%)

Error

0.2b

Counts

4 → 75

Calls

4 calls:

327.0ms	(cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))))
321.0ms	(cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))))
306.0ms	(cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))))
301.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 v) (cbrt.f64 v)) (.f64 (cbrt.f64 (+.f64 t1 u)) (cbrt.f64 (+.f64 t1 u)))) (.f64 (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u)))) (cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u))))) (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 v) (cbrt.f64 (+.f64 t1 u)))) (-.f64 -1 (/.f64 u t1)))))

Compiler

Compiled 9390 to 4943 computations (47.4% saved)

simplify407.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

374×	`associate-r_binary64_18`
364×	`associate-l_binary64_19`
247×	`associate-*l/_binary64_21`
230×	`*-commutative_binary64_9`
197×	`associate-*r/_binary64_20`
186×	`log-prod_binary64_164`
171×	`times-frac_binary64_84`
168×	`associate-/l*_binary64_23`
149×	`cancel-sign-sub-inv_binary64_44`
131×	`sub-neg_binary64_71`
120×	`distribute-rgt-in_binary64_28`
119×	`unswap-sqr_binary64_46`
105×	`associate-/r*_binary64_22`
89×	`log-div_binary64_165`
82×	`distribute-rgt-neg-in_binary64_36`
81×	`exp-prod_binary64_130`
80×	`sqr-pow_binary64_50`
77×	`distribute-lft-neg-in_binary64_35`
71×	`distribute-neg-frac_binary64_42`
59×	`swap-sqr_binary64_45`
55×	`+-commutative_binary64_8`
52×	`neg-sub0_binary64_73`
46×	`neg-mul-1_binary64_74`
43×	`associate-/l/_binary64_25`
39×	`unpow3_binary64_144`
37×	`exp-sum_binary64_124`
33×	`associate-+l-_binary64_13`
32×	`distribute-lft-in_binary64_27`
30×	`cube-prod_binary64_106` `div-sub_binary64_83`
28×	`unsub-neg_binary64_72`
27×	`associate-/r/_binary64_24`
21×	`log-pow_binary64_167` `distribute-lft-neg-out_binary64_37`
20×	`associate--l+_binary64_15` `associate-+r+_binary64_10`
19×	`associate-+l+_binary64_11`
18×	`exp-diff_binary64_126` `distribute-neg-in_binary64_39`
17×	`pow-plus_binary64_141` `cube-div_binary64_107` `associate--r+_binary64_14`
16×	`distribute-rgt-neg-out_binary64_38`
15×	`mul-1-neg_binary64_70`
14×	`cube-unmult_binary64_115`
13×	`associate-+r-_binary64_12`
12×	`pow-sqr_binary64_51`
11×	`*-rgt-identity_binary64_68`
9×	`*-lft-identity_binary64_67` `distribute-lft-out_binary64_29`
8×	`exp-neg_binary64_125` `distribute-neg-out_binary64_40`
7×	`exp-to-pow_binary64_140`
6×	`/-rgt-identity_binary64_69` `distribute-frac-neg_binary64_41`
5×	`distribute-rgt-out--_binary64_32`
4×	`log-rec_binary64_166`
3×	`cube-mult_binary64_108` `rem-3cbrt-lft_binary64_103` `difference-of-squares_binary64_47` `distribute-rgt-out_binary64_31` `count-2_binary64_26` `associate--r-_binary64_17`
2×	`unpow2_binary64_143` `unpow1/2_binary64_142` `unpow1_binary64_136` `rem-3cbrt-rft_binary64_104` `associate--l-_binary64_16`
1×	`unpow1/3_binary64_145` `1-exp_binary64_122` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `rem-sqrt-square_binary64_91` `remove-double-neg_binary64_66` `*-inverses_binary64_58` `distribute-lft1-in_binary64_33` `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` `pow-base-0_binary64_162` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `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_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-rgt1-in_binary64_34`

Counts

336 → 476

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	452	14415
1	1041	10520
2	3338	9700
3	4798	9647
4	4987	9647
5	4953	9647

prune889.0ms (6.4%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	476	0	476
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	476	10	486

Error

0.2b

Counts

486 → 10

Compiler

Compiled 21056 to 5746 computations (72.7% saved)

regimes597.0ms (4.3%)

Accuracy

Total 1.1b remaining (87.5%)

Threshold costs 0b (0%)

Compiler

Compiled 8342 to 5242 computations (37.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64_8`
3×	`sub-neg_binary64_71`
2×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73` `*-commutative_binary64_9`
1×	`distribute-neg-frac_binary64_42`
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-inv_binary64_44` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	13	16
2	19	16
3	23	16
4	26	16
5	27	16
6	27	16

end0.0ms (0%)

sample1.9s (14%)

Algorithm

1×

intervals

Results

255.0ms	8000×	body	128	valid
11.0ms	250×	body	128	invalid

Compiler

Compiled 2102 to 1323 computations (37.1% saved)

Details

analyze250.0ms (1.8%)

sample21.0ms (0.2%)

simplify247.0ms (1.8%)

prune4.0ms (0%)

localize7.0ms (0.1%)

rewrite268.0ms (1.9%)

series465.0ms (3.4%)

simplify233.0ms (1.7%)

prune219.0ms (1.6%)

localize18.0ms (0.1%)

rewrite1.4s (10.3%)

series883.0ms (6.4%)

simplify593.0ms (4.3%)

prune1.7s (12.3%)

localize13.0ms (0.1%)

rewrite305.0ms (2.2%)

series646.0ms (4.7%)

simplify210.0ms (1.5%)

prune576.0ms (4.2%)

localize21.0ms (0.2%)

rewrite547.0ms (3.9%)

series1.4s (9.9%)

simplify407.0ms (2.9%)

prune889.0ms (6.4%)

regimes597.0ms (4.3%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.9s (14%)

Profiling