Details

analyze1.0s (14%)

Algorithm

1×	search
2×	egg-herbie

Rules

1842×	`div-sub_binary64_83`
1407×	`associate-/l*_binary64_23`
934×	`sub-neg_binary64_71`
776×	`unsub-neg_binary64_72`
575×	`distribute-rgt-in_binary64_28`
537×	`distribute-lft-in_binary64_27`
531×	`associate-/r*_binary64_22`
480×	`times-frac_binary64_84`
409×	`associate-/r/_binary64_24`
408×	`*-commutative_binary64_9`
371×	`distribute-rgt-neg-in_binary64_36`
342×	`cancel-sign-sub-inv_binary64_44`
311×	`neg-mul-1_binary64_74`
282×	`distribute-rgt-out--_binary64_32`
274×	`distribute-lft-neg-in_binary64_35`
262×	`distribute-neg-in_binary64_39`
258×	`neg-sub0_binary64_73`
221×	`associate-*l/_binary64_21`
205×	`distribute-lft-neg-out_binary64_37`
203×	`+-commutative_binary64_8`
202×	`associate-/l/_binary64_25`
195×	`associate--r-_binary64_17`
181×	`associate--l-_binary64_16`
179×	`associate--r+_binary64_14`
155×	`distribute-neg-frac_binary64_42`
154×	`distribute-rgt-out_binary64_31`
127×	`distribute-rgt-neg-out_binary64_38`
105×	`remove-double-neg_binary64_66`
90×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
86×	`associate--l+_binary64_15`
75×	`distribute-neg-out_binary64_40`
74×	`associate-+l-_binary64_13`
72×	`distribute-frac-neg_binary64_41`
59×	`associate-+l+_binary64_11`
55×	`associate-+r+_binary64_10`
54×	`associate-r_binary64_18`
53×	`/-rgt-identity_binary64_69`
49×	`+-lft-identity_binary64_62`
48×	`div0_binary64_59` `associate-+r-_binary64_12`
43×	`--rgt-identity_binary64_64`
39×	`associate-l_binary64_19`
36×	`sub0-neg_binary64_65` `cancel-sign-sub_binary64_43`
35×	`*-lft-identity_binary64_67`
34×	`*-rgt-identity_binary64_68`
31×	`distribute-lft-out--_binary64_30`
26×	`distribute-lft1-in_binary64_33`
22×	`distribute-rgt1-in_binary64_34`
17×	`mul-1-neg_binary64_70`
16×	`distribute-lft-out_binary64_29`
12×	`remove-double-div_binary64_54` `associate-*r/_binary64_20`
7×	`+-rgt-identity_binary64_63`
1×	`1-exp_binary64_122`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `log-prod_binary64_164` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow3_binary64_144` `unpow2_binary64_143` `unpow1/2_binary64_142` `pow-plus_binary64_141` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-prod_binary64_130` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-unmult_binary64_115` `cube-mult_binary64_108` `cube-div_binary64_107` `cube-prod_binary64_106` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `pow-sqr_binary64_51` `sqr-pow_binary64_50` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `unswap-sqr_binary64_46` `swap-sqr_binary64_45` `count-2_binary64_26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	72
1	63	72
2	109	72
3	177	72
4	272	72
5	399	72
6	526	72
7	631	72
8	954	72
9	1739	72
10	2977	72
11	3109	72
12	3297	72
13	3467	72
14	3497	72
15	2873	72
16	3102	72
17	2966	72
18	2990	72
19	3002	72
20	3008	72
21	3008	72
22	3008	60
23	4052	60
24	3828	60
25	3882	60
26	3982	60
27	4058	60
28	4126	60
29	4060	60
30	4060	60
31	4060	60
32	3538	60
33	3538	60
34	4494	60
35	5109	60
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
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	46×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

218×	`distribute-rgt-in_binary64_28`
208×	`cancel-sign-sub-inv_binary64_44`
151×	`distribute-lft-in_binary64_27`
124×	`sub-neg_binary64_71`
120×	`unsub-neg_binary64_72`
93×	`associate-/l*_binary64_23`
83×	`div-sub_binary64_83`
75×	`distribute-rgt-neg-in_binary64_36`
69×	`distribute-neg-in_binary64_39`
54×	`distribute-lft-neg-in_binary64_35` `associate-l/_binary64_21` `associate-r*_binary64_18`
50×	`associate--r+_binary64_14`
47×	`associate-/r*_binary64_22`
43×	`distribute-rgt-out--_binary64_32`
42×	`associate--r-_binary64_17`
38×	`distribute-lft-neg-out_binary64_37` `associate--l-_binary64_16`
36×	`associate-/r/_binary64_24`
35×	`neg-mul-1_binary64_74`
33×	`*-commutative_binary64_9`
31×	`neg-sub0_binary64_73` `distribute-neg-frac_binary64_42`
30×	`associate-l_binary64_19`
28×	`associate--l+_binary64_15`
27×	`associate-+l-_binary64_13`
26×	`associate-/l/_binary64_25`
25×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60` `+-commutative_binary64_8`
24×	`distribute-rgt-neg-out_binary64_38`
22×	`associate-+r-_binary64_12`
21×	`associate-*r/_binary64_20`
18×	`+-lft-identity_binary64_62`
17×	`distribute-rgt-out_binary64_31`
16×	`*-lft-identity_binary64_67`
15×	`*-rgt-identity_binary64_68`
12×	`associate-+r+_binary64_10`
11×	`sub0-neg_binary64_65` `--rgt-identity_binary64_64`
9×	`distribute-neg-out_binary64_40` `distribute-lft-out--_binary64_30` `associate-+l+_binary64_11`
8×	`remove-double-neg_binary64_66` `div0_binary64_59`
7×	`distribute-lft1-in_binary64_33`
6×	`distribute-rgt1-in_binary64_34`
4×	`/-rgt-identity_binary64_69`
3×	`+-rgt-identity_binary64_63` `distribute-lft-out_binary64_29`
2×	`mul-1-neg_binary64_70`
1×	`1-exp_binary64_122`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `log-prod_binary64_164` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow3_binary64_144` `unpow2_binary64_143` `unpow1/2_binary64_142` `pow-plus_binary64_141` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-prod_binary64_130` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-unmult_binary64_115` `cube-mult_binary64_108` `cube-div_binary64_107` `cube-prod_binary64_106` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `times-frac_binary64_84` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `pow-sqr_binary64_51` `sqr-pow_binary64_50` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `unswap-sqr_binary64_46` `swap-sqr_binary64_45` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `count-2_binary64_26`

Counts

1 → 1

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	20	18
2	37	18
3	60	18
4	92	18
5	139	18
6	184	18
7	221	18
8	327	18
9	461	18
10	797	15
11	820	15
12	885	15
13	847	15
14	839	15
15	839	15
16	738	15

prune4.0ms (0.1%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
2.8b	(*.f64 (/.f64 x y) z)

rewrite76.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_100`
13×	`associate-l_binary64_19`
10×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `times-frac_binary64_84`
7×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`pow1_binary64_139` `add-log-exp_binary64_117`
3×	`associate-l/_binary64_21` `associate-r*_binary64_18`
2×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
1×	`pow-prod-down_binary64_149` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `div-inv_binary64_75` `*-commutative_binary64_9` `diff-log_binary64_170` `frac-sub_binary64_87` `sub-div_binary64_85` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`

Counts

2 → 46

Calls

2 calls:

10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)

Compiler

Compiled 910 to 423 computations (53.5% saved)

series492.0ms (6.8%)

Error

0.0b

Counts

2 → 24

Calls

2 calls:

327.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
147.0ms	(*.f64 (/.f64 x y) z)

Compiler

Compiled 812 to 584 computations (28.1% saved)

simplify103.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

641×	`distribute-rgt-in_binary64_28`
353×	`associate-l_binary64_19`
317×	`distribute-rgt-neg-in_binary64_36`
309×	`associate-*l/_binary64_21`
292×	`distribute-lft-neg-in_binary64_35`
281×	`associate-r_binary64_18`
251×	`associate-*r/_binary64_20`
228×	`distribute-neg-frac_binary64_42`
216×	`cancel-sign-sub-inv_binary64_44`
192×	`associate-/l*_binary64_23`
129×	`exp-prod_binary64_130`
120×	`distribute-lft-neg-out_binary64_37`
115×	`*-commutative_binary64_9`
114×	`distribute-rgt-neg-out_binary64_38`
99×	`sub-neg_binary64_71`
87×	`distribute-lft-in_binary64_27`
76×	`times-frac_binary64_84`
68×	`neg-sub0_binary64_73`
64×	`div-sub_binary64_83`
62×	`log-prod_binary64_164`
56×	`neg-mul-1_binary64_74`
52×	`sqr-pow_binary64_50`
49×	`associate-/r*_binary64_22`
42×	`distribute-rgt-out_binary64_31` `+-commutative_binary64_8`
40×	`unsub-neg_binary64_72`
36×	`associate-/r/_binary64_24`
34×	`-rgt-identity_binary64_68` `-lft-identity_binary64_67` `unswap-sqr_binary64_46`
33×	`swap-sqr_binary64_45`
30×	`log-div_binary64_165`
26×	`cube-prod_binary64_106`
25×	`distribute-neg-in_binary64_39`
23×	`distribute-rgt-out--_binary64_32`
21×	`associate-+l+_binary64_11`
20×	`unpow3_binary64_144`
19×	`cube-div_binary64_107` `associate-+l-_binary64_13`
17×	`difference-of-squares_binary64_47` `associate-+r+_binary64_10`
16×	`exp-sum_binary64_124` `associate-/l/_binary64_25` `associate-+r-_binary64_12`
14×	`+-rgt-identity_binary64_63`
9×	`exp-diff_binary64_126` `mul-1-neg_binary64_70` `associate--l+_binary64_15`
8×	`/-rgt-identity_binary64_69`
7×	`cube-mult_binary64_108` `sub0-neg_binary64_65`
6×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60` `associate--r+_binary64_14`
5×	`pow-sqr_binary64_51` `distribute-frac-neg_binary64_41` `distribute-rgt1-in_binary64_34` `distribute-lft-out_binary64_29`
4×	`log-rec_binary64_166` `cube-unmult_binary64_115` `remove-double-neg_binary64_66`
3×	`unpow1/2_binary64_142` `sqr-neg_binary64_92`
2×	`cube-neg_binary64_105` `div0_binary64_59` `distribute-neg-out_binary64_40` `distribute-lft1-in_binary64_33` `distribute-lft-out--_binary64_30` `associate--r-_binary64_17`
1×	`div-exp_binary64_129` `1-exp_binary64_122` `exp-1-e_binary64_121`
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` `unpow2_binary64_143` `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` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `count-2_binary64_26` `associate--l-_binary64_16`

Counts

70 → 50

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	116	935
1	292	875
2	818	869
3	2705	839
4	4875	839
5	4991	839
6	4945	839

prune62.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Error

0.0b

Counts

52 → 6

Compiler

Compiled 884 to 445 computations (49.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.1b	(*.f64 z (/.f64 (cbrt.f64 x) y))
2.8b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))

rewrite195.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`add-exp-log_binary64_116`
35×	`add-cbrt-cube_binary64_114`
33×	`prod-exp_binary64_127`
30×	`add-sqr-sqrt_binary64_100`
23×	`times-frac_binary64_84` `associate-r_binary64_18`
22×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
20×	`cbrt-unprod_binary64_111`
18×	`div-exp_binary64_129`
16×	`cbrt-prod_binary64_109`
11×	`pow1_binary64_139`
10×	`cbrt-undiv_binary64_112` `associate-l_binary64_19`
6×	`1-exp_binary64_122`
4×	`pow-prod-down_binary64_149` `add-log-exp_binary64_117` `associate-*r/_binary64_20`
3×	`unswap-sqr_binary64_46`
2×	`div-inv_binary64_75` `*-commutative_binary64_9` `pow1/3_binary64_160`
1×	`frac-times_binary64_88` `associate-*l/_binary64_21`

Counts

4 → 109

Calls

4 calls:

13.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))
10.0ms	(*.f64 z (/.f64 (cbrt.f64 x) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 3137 to 1250 computations (60.2% saved)

series845.0ms (11.8%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

424.0ms	(*.f64 z (/.f64 (cbrt.f64 x) y))
177.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 z (/.f64 (cbrt.f64 x) y)))
112.0ms	(cbrt.f64 x)
110.0ms	(cbrt.f64 x)

Compiler

Compiled 1380 to 982 computations (28.8% saved)

simplify132.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

426×	`*-commutative_binary64_9`
350×	`associate-/l/_binary64_25`
344×	`log-prod_binary64_164`
340×	`associate-/r*_binary64_22`
289×	`log-div_binary64_165`
237×	`associate-l_binary64_19`
233×	`associate-r_binary64_18`
216×	`associate-/r/_binary64_24`
200×	`sub-neg_binary64_71`
197×	`unswap-sqr_binary64_46`
163×	`cube-div_binary64_107`
147×	`cube-prod_binary64_106`
123×	`exp-prod_binary64_130`
121×	`associate-/l*_binary64_23`
114×	`sqr-pow_binary64_50`
108×	`unpow3_binary64_144`
102×	`associate-+l+_binary64_11`
90×	`associate-+r+_binary64_10`
89×	`associate-*r/_binary64_20`
85×	`associate-*l/_binary64_21`
84×	`associate-+l-_binary64_13`
70×	`*-lft-identity_binary64_67`
66×	`associate--l+_binary64_15`
64×	`times-frac_binary64_84`
60×	`/-rgt-identity_binary64_69`
56×	`associate--r+_binary64_14`
48×	`associate--l-_binary64_16`
46×	`swap-sqr_binary64_45`
43×	`unsub-neg_binary64_72` `associate-+r-_binary64_12`
36×	`neg-mul-1_binary64_74` `*-rgt-identity_binary64_68`
35×	`neg-sub0_binary64_73`
32×	`associate--r-_binary64_17`
29×	`+-commutative_binary64_8`
25×	`div-sub_binary64_83`
24×	`distribute-rgt-neg-in_binary64_36`
22×	`log-rec_binary64_166` `cube-mult_binary64_108`
20×	`log-pow_binary64_167` `distribute-lft-neg-in_binary64_35`
17×	`pow-sqr_binary64_51`
14×	`+-lft-identity_binary64_62` `cancel-sign-sub-inv_binary64_44`
13×	`distribute-neg-in_binary64_39`
12×	`distribute-neg-frac_binary64_42`
10×	`cube-unmult_binary64_115` `sub0-neg_binary64_65` `--rgt-identity_binary64_64`
9×	`remove-double-neg_binary64_66`
7×	`pow-plus_binary64_141` `mul-1-neg_binary64_70`
5×	`rem-sqrt-square_binary64_91`
4×	`distribute-rgt-in_binary64_28` `count-2_binary64_26`
3×	`remove-double-div_binary64_54`
2×	`unpow1/3_binary64_145` `unpow1/2_binary64_142` `exp-diff_binary64_126` `cube-neg_binary64_105` `sqr-neg_binary64_92` `distribute-frac-neg_binary64_41` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-out_binary64_31` `distribute-lft-out_binary64_29` `distribute-lft-in_binary64_27`
1×	`exp-sum_binary64_124` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-3cbrt-lft_binary64_103` `rem-cube-cbrt_binary64_101` `div0_binary64_59` `+-inverses_binary64_57` `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` `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` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90` `+-rgt-identity_binary64_63` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `*-inverses_binary64_58` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `cancel-sign-sub_binary64_43` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30`

Counts

133 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	178	2053
1	379	1273
2	1633	1267
3	3621	1267
4	4587	1267
5	4999	1267
6	4944	1267

prune98.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	86	6	92

Error

Counts

92 → 6

Compiler

Compiled 1820 to 833 computations (54.2% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.5b	(.f64 (/.f64 z (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 x) (cbrt.f64 y)))
2.8b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (.f64 (/.f64 z (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))

rewrite374.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

198×	`add-exp-log_binary64_116`
97×	`prod-exp_binary64_127`
79×	`add-cbrt-cube_binary64_114`
70×	`div-exp_binary64_129`
63×	`add-sqr-sqrt_binary64_100`
60×	`cbrt-unprod_binary64_111`
55×	`times-frac_binary64_84`
50×	`cbrt-prod_binary64_109`
42×	`cbrt-undiv_binary64_112`
41×	`associate-r_binary64_18`
35×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
14×	`1-exp_binary64_122` `associate-l_binary64_19`
11×	`pow1_binary64_139`
10×	`unswap-sqr_binary64_46`
6×	`frac-times_binary64_88` `associate-*r/_binary64_20`
4×	`pow-prod-down_binary64_149` `add-log-exp_binary64_117` `associate-*l/_binary64_21`
3×	`div-inv_binary64_75`
2×	`*-commutative_binary64_9` `pow1/3_binary64_160`

Counts

4 → 184

Calls

4 calls:

23.0ms	(.f64 (/.f64 z (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 x) (cbrt.f64 y)))
21.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (.f64 (/.f64 z (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 7103 to 2101 computations (70.4% saved)

series908.0ms (12.6%)

Error

Counts

4 → 24

Calls

4 calls:

432.0ms	(.f64 (/.f64 z (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 x) (cbrt.f64 y)))
226.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (.f64 (/.f64 z (.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
119.0ms	(cbrt.f64 x)
104.0ms	(cbrt.f64 x)

Compiler

Compiled 1548 to 1065 computations (31.2% saved)

simplify217.0ms (3%)

Algorithm

1×	egg-herbie

Rules

439×	`log-prod_binary64_164`
386×	`associate-*r/_binary64_20`
341×	`associate-*l/_binary64_21`
315×	`associate-l_binary64_19`
311×	`log-div_binary64_165`
297×	`times-frac_binary64_84`
279×	`associate-r_binary64_18`
274×	`associate-/l*_binary64_23`
266×	`associate-/r*_binary64_22`
208×	`*-commutative_binary64_9`
109×	`associate-/l/_binary64_25`
102×	`/-rgt-identity_binary64_69`
75×	`sub-neg_binary64_71`
70×	`exp-prod_binary64_130`
68×	`unpow3_binary64_144`
66×	`swap-sqr_binary64_45`
56×	`distribute-rgt-neg-in_binary64_36`
54×	`*-lft-identity_binary64_67`
52×	`unswap-sqr_binary64_46`
51×	`distribute-neg-frac_binary64_42`
49×	`cube-div_binary64_107` `cube-prod_binary64_106` `distribute-lft-neg-in_binary64_35`
46×	`*-rgt-identity_binary64_68`
43×	`associate-+l-_binary64_13`
40×	`cancel-sign-sub-inv_binary64_44`
32×	`sqr-pow_binary64_50`
27×	`associate-/r/_binary64_24`
23×	`distribute-neg-in_binary64_39`
22×	`neg-sub0_binary64_73`
20×	`log-rec_binary64_166`
19×	`associate-+r+_binary64_10`
17×	`distribute-rgt-neg-out_binary64_38`
15×	`log-pow_binary64_167`
14×	`neg-mul-1_binary64_74` `mul-1-neg_binary64_70` `distribute-lft-neg-out_binary64_37` `associate-+l+_binary64_11`
12×	`distribute-frac-neg_binary64_41` `+-commutative_binary64_8`
11×	`associate--l+_binary64_15`
10×	`cube-unmult_binary64_115` `associate-+r-_binary64_12`
7×	`associate--l-_binary64_16`
6×	`associate--r+_binary64_14`
5×	`pow-plus_binary64_141` `sub0-neg_binary64_65` `pow-sqr_binary64_51` `associate--r-_binary64_17`
4×	`rem-sqrt-square_binary64_91` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62`
3×	`div-sub_binary64_83` `unsub-neg_binary64_72`
2×	`unpow1/3_binary64_145` `rem-3cbrt-lft_binary64_103` `remove-double-neg_binary64_66` `count-2_binary64_26`
1×	`exp-diff_binary64_126` `1-exp_binary64_122` `exp-1-e_binary64_121` `cube-mult_binary64_108` `cube-neg_binary64_105` `rem-cube-cbrt_binary64_101` `sqr-neg_binary64_92` `*-inverses_binary64_58` `cancel-sign-sub_binary64_43` `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` `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` `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-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `sqr-abs_binary64_93` `rem-square-sqrt_binary64_90` `+-rgt-identity_binary64_63` `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` `difference-of-squares_binary64_47` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-rgt-out--_binary64_32` `distribute-rgt-out_binary64_31` `distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27`

Counts

208 → 150

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	6363
1	710	2983
2	3773	2969
3	4433	2969
4	4946	2969
5	4996	2969
6	5009	2969

prune171.0ms (2.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	150	6	156

Error

Counts

156 → 6

Compiler

Compiled 3389 to 1344 computations (60.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
6.9b	(*.f64 x (/.f64 z y))

rewrite67.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_100`
13×	`associate-r_binary64_18`
10×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `times-frac_binary64_84`
7×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
4×	`pow1_binary64_139` `add-log-exp_binary64_117`
3×	`associate-r/_binary64_20` `associate-l*_binary64_19`
2×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46`
1×	`pow-prod-down_binary64_149` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `div-inv_binary64_75` `*-commutative_binary64_9` `diff-log_binary64_170` `frac-sub_binary64_87` `sub-div_binary64_85` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`

Counts

2 → 46

Calls

2 calls:

10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
8.0ms	(*.f64 x (/.f64 z y))

Compiler

Compiled 910 to 423 computations (53.5% saved)

series516.0ms (7.2%)

Error

Counts

2 → 24

Calls

2 calls:

351.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
148.0ms	(*.f64 x (/.f64 z y))

Compiler

Compiled 812 to 584 computations (28.1% saved)

simplify66.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

617×	`distribute-rgt-in_binary64_28`
390×	`associate-l_binary64_19`
326×	`associate-r_binary64_18`
324×	`distribute-rgt-neg-in_binary64_36`
303×	`associate-*r/_binary64_20`
285×	`distribute-lft-neg-in_binary64_35`
272×	`associate-*l/_binary64_21`
243×	`cancel-sign-sub-inv_binary64_44`
223×	`distribute-neg-frac_binary64_42`
217×	`associate-/l*_binary64_23`
128×	`distribute-lft-neg-out_binary64_37`
124×	`*-commutative_binary64_9`
116×	`times-frac_binary64_84`
97×	`sub-neg_binary64_71`
96×	`distribute-rgt-neg-out_binary64_38`
95×	`distribute-lft-in_binary64_27`
72×	`associate-/l/_binary64_25`
67×	`neg-sub0_binary64_73`
65×	`associate-/r/_binary64_24`
63×	`div-sub_binary64_83`
59×	`associate-/r*_binary64_22`
55×	`neg-mul-1_binary64_74` `distribute-rgt-out_binary64_31`
53×	`sqr-pow_binary64_50`
51×	`unsub-neg_binary64_72` `*-lft-identity_binary64_67`
46×	`exp-prod_binary64_130` `*-rgt-identity_binary64_68`
40×	`+-commutative_binary64_8`
36×	`unswap-sqr_binary64_46`
33×	`cube-prod_binary64_106`
32×	`log-prod_binary64_164`
29×	`swap-sqr_binary64_45`
26×	`distribute-neg-in_binary64_39`
24×	`associate-+l+_binary64_11`
23×	`cube-div_binary64_107`
20×	`associate-+l-_binary64_13` `associate-+r+_binary64_10`
19×	`log-div_binary64_165` `distribute-lft-out_binary64_29`
17×	`/-rgt-identity_binary64_69` `difference-of-squares_binary64_47` `distribute-rgt-out--_binary64_32` `associate-+r-_binary64_12`
16×	`exp-sum_binary64_124`
14×	`+-rgt-identity_binary64_63`
12×	`unpow3_binary64_144`
11×	`associate--l+_binary64_15`
9×	`cube-mult_binary64_108` `mul-1-neg_binary64_70` `mul0-rgt_binary64_61` `mul0-lft_binary64_60`
8×	`exp-diff_binary64_126` `sub0-neg_binary64_65`
7×	`associate--r+_binary64_14`
5×	`pow-sqr_binary64_51` `distribute-frac-neg_binary64_41`
4×	`cube-unmult_binary64_115`
3×	`sqr-neg_binary64_92` `remove-double-neg_binary64_66` `distribute-lft-out--_binary64_30`
2×	`log-rec_binary64_166` `cube-neg_binary64_105` `div0_binary64_59` `remove-double-div_binary64_54` `distribute-rgt1-in_binary64_34` `associate--r-_binary64_17`
1×	`unpow1/2_binary64_142` `div-exp_binary64_129` `1-exp_binary64_122` `exp-1-e_binary64_121` `cancel-sign-sub_binary64_43` `distribute-neg-out_binary64_40` `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` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow2_binary64_143` `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` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `count-2_binary64_26` `associate--l-_binary64_16`

Counts

70 → 44

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	118	944
1	298	914
2	957	887
3	3007	851
4	5035	851

prune36.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	44	6	50

Error

Counts

50 → 6

Compiler

Compiled 659 to 323 computations (51% saved)

regimes378.0ms (5.3%)

Accuracy

Total 0.7b remaining (99.4%)

Threshold costs 0.7b (99.4%)

Compiler

Compiled 3737 to 2646 computations (29.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64_9` `+-commutative_binary64_8`
8×	`sub-neg_binary64_71`
7×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
5×	`distribute-rgt-neg-in_binary64_36`
4×	`distribute-lft-neg-in_binary64_35`
2×	`cancel-sign-sub-inv_binary64_44` `distribute-neg-frac_binary64_42`
1×	`distribute-lft-neg-out_binary64_37`
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-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	17	42
1	25	42
2	37	42
3	54	42
4	67	42
5	75	42
6	78	42
7	78	42

end0.0ms (0%)

sample1.3s (18.2%)

Algorithm

1×

intervals

Results

309.0ms	8000×	body	128	valid
43.0ms	1168×	body	128	invalid

Compiler

Compiled 776 to 548 computations (29.4% saved)

Iter	Nodes	Cost
0	11	18
1	20	18
2	37	18
3	60	18
4	92	18
5	139	18
6	184	18
7	221	18
8	327	18
9	461	18
10	797	15
11	820	15
12	885	15
13	847	15
14	839	15
15	839	15
16	738	15

Iter	Nodes	Cost
0	11	18
1	20	18
2	37	18
3	60	18
4	92	18
5	139	18
6	184	18
7	221	18
8	327	18
9	461	18
10	797	15
11	820	15
12	885	15
13	847	15
14	839	15
15	839	15
16	738	15

Details

analyze1.0s (14%)

sample23.0ms (0.3%)

simplify54.0ms (0.8%)

prune4.0ms (0.1%)

localize8.0ms (0.1%)

rewrite76.0ms (1.1%)

series492.0ms (6.8%)

simplify103.0ms (1.4%)

prune62.0ms (0.9%)

localize14.0ms (0.2%)

rewrite195.0ms (2.7%)

series845.0ms (11.8%)

simplify132.0ms (1.8%)

prune98.0ms (1.4%)

localize20.0ms (0.3%)

rewrite374.0ms (5.2%)

series908.0ms (12.6%)

simplify217.0ms (3%)

prune171.0ms (2.4%)

localize10.0ms (0.1%)

rewrite67.0ms (0.9%)

series516.0ms (7.2%)

simplify66.0ms (0.9%)

prune36.0ms (0.5%)

regimes378.0ms (5.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (18.2%)

Profiling

Iter	Nodes	Cost
0	11	18
1	20	18
2	37	18
3	60	18
4	92	18
5	139	18
6	184	18
7	221	18
8	327	18
9	461	18
10	797	15
11	820	15
12	885	15
13	847	15
14	839	15
15	839	15
16	738	15