Details

analyze996.0ms (14.1%)

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)

sample22.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	40×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify55.0ms (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)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b	(/.f64 (+.f64 x 4) y)
3.0b	(*.f64 (/.f64 x y) z)

rewrite136.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`*-un-lft-identity_binary64_78`
25×	`add-sqr-sqrt_binary64_100`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
13×	`associate-l_binary64_19`
10×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`pow1_binary64_139` `add-log-exp_binary64_117`
4×	`distribute-lft-out_binary64_29` `associate-/l*_binary64_23`
3×	`associate-l/_binary64_21` `associate-r_binary64_18` `associate-/r_binary64_22`
2×	`div-exp_binary64_129` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `unswap-sqr_binary64_46` `div-inv_binary64_75` `associate-/l/_binary64_25`
1×	`pow-prod-down_binary64_149` `*-commutative_binary64_9` `frac-2neg_binary64_89` `clear-num_binary64_77` `flip3-+_binary64_81` `flip-+_binary64_52` `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

3 → 79

Calls

3 calls:

13.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)
6.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1434 to 693 computations (51.7% saved)

series615.0ms (8.7%)

Error

0.0b

Counts

3 → 33

Calls

3 calls:

358.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
142.0ms	(*.f64 (/.f64 x y) z)
98.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 896 to 689 computations (23.1% saved)

simplify104.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

392×	`associate-l_binary64_19`
341×	`associate-*l/_binary64_21`
322×	`distribute-rgt-neg-in_binary64_36`
312×	`div-sub_binary64_83`
302×	`associate-r_binary64_18`
294×	`distribute-lft-neg-in_binary64_35`
268×	`associate-*r/_binary64_20`
241×	`associate-/l*_binary64_23`
234×	`cancel-sign-sub-inv_binary64_44`
232×	`distribute-neg-frac_binary64_42`
136×	`*-commutative_binary64_9`
135×	`distribute-rgt-in_binary64_28`
128×	`distribute-lft-neg-out_binary64_37` `distribute-lft-in_binary64_27`
122×	`sub-neg_binary64_71`
121×	`exp-prod_binary64_130`
117×	`distribute-rgt-neg-out_binary64_38`
98×	`times-frac_binary64_84`
78×	`associate-/r*_binary64_22`
73×	`neg-sub0_binary64_73`
63×	`associate-/l/_binary64_25`
60×	`neg-mul-1_binary64_74`
55×	`cube-prod_binary64_106`
54×	`log-prod_binary64_164` `associate-/r/_binary64_24`
52×	`sqr-pow_binary64_50` `+-commutative_binary64_8`
50×	`unsub-neg_binary64_72`
46×	`exp-sum_binary64_124`
43×	`*-rgt-identity_binary64_68`
40×	`*-lft-identity_binary64_67`
39×	`exp-diff_binary64_126`
38×	`cube-div_binary64_107`
36×	`log-div_binary64_165`
34×	`unswap-sqr_binary64_46`
33×	`associate-+l+_binary64_11`
31×	`swap-sqr_binary64_45`
28×	`distribute-neg-in_binary64_39`
26×	`associate-+r+_binary64_10`
25×	`associate-+l-_binary64_13`
20×	`unpow3_binary64_144`
19×	`associate-+r-_binary64_12`
17×	`difference-of-squares_binary64_47`
16×	`+-rgt-identity_binary64_63` `distribute-rgt-out_binary64_31`
14×	`sqr-neg_binary64_92` `/-rgt-identity_binary64_69`
13×	`cube-mult_binary64_108`
11×	`cube-neg_binary64_105`
9×	`mul-1-neg_binary64_70` `sub0-neg_binary64_65` `associate--l+_binary64_15`
8×	`cube-unmult_binary64_115`
7×	`log-rec_binary64_166` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `associate--r+_binary64_14`
6×	`distribute-rgt-out--_binary64_32`
5×	`pow-sqr_binary64_51` `distribute-frac-neg_binary64_41`
4×	`remove-double-neg_binary64_66` `distribute-lft-out_binary64_29`
3×	`unpow1/2_binary64_142`
2×	`exp-neg_binary64_125` `rem-sqrt-square_binary64_91` `div0_binary64_59` `remove-double-div_binary64_54` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34` `associate--r-_binary64_17` `associate--l-_binary64_16`
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` `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-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` `cancel-sign-sub_binary64_43` `distribute-lft1-in_binary64_33` `distribute-lft-out--_binary64_30` `count-2_binary64_26`

Counts

112 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	161	1432
1	393	1370
2	1035	1361
3	3181	1334
4	4539	1334
5	5171	1334

prune74.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	60	5	65

Error

Counts

65 → 5

Compiler

Compiled 849 to 431 computations (49.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
0.0b	(+.f64 (/.f64 4 y) (/.f64 x y))
3.0b	(*.f64 (/.f64 x y) z)

rewrite145.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64_78`
18×	`add-sqr-sqrt_binary64_100`
16×	`times-frac_binary64_84`
13×	`add-cube-cbrt_binary64_113` `associate-l_binary64_19`
10×	`add-log-exp_binary64_117`
8×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`pow1_binary64_139`
4×	`associate-*l/_binary64_21` `distribute-lft-out_binary64_29`
3×	`div-inv_binary64_75` `associate-r_binary64_18` `frac-sub_binary64_87`
2×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `sum-log_binary64_169` `frac-add_binary64_86` `flip3-+_binary64_81` `flip-+_binary64_52` `diff-log_binary64_170`
1×	`pow-prod-down_binary64_149` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `*-commutative_binary64_9` `distribute-rgt-out_binary64_31` `+-commutative_binary64_8` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `associate--l+_binary64_15`

Counts

3 → 66

Calls

3 calls:

20.0ms	(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
12.0ms	(+.f64 (/.f64 4 y) (/.f64 x y))
7.0ms	(*.f64 (/.f64 x y) z)

Compiler

Compiled 1474 to 621 computations (57.9% saved)

series639.0ms (9%)

Error

Counts

3 → 33

Calls

3 calls:

346.0ms	(-.f64 (+.f64 (/.f64 4 y) (/.f64 x y)) (*.f64 (/.f64 x y) z))
140.0ms	(*.f64 (/.f64 x y) z)
138.0ms	(+.f64 (/.f64 4 y) (/.f64 x y))

Compiler

Compiled 934 to 707 computations (24.3% saved)

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

770×	`times-frac_binary64_84`
372×	`associate-*l/_binary64_21`
327×	`distribute-rgt-in_binary64_28`
305×	`distribute-lft-in_binary64_27`
303×	`associate-*r/_binary64_20`
245×	`*-commutative_binary64_9`
205×	`associate-/l*_binary64_23`
169×	`cancel-sign-sub-inv_binary64_44`
144×	`distribute-rgt-neg-in_binary64_36`
115×	`distribute-lft-neg-in_binary64_35`
88×	`associate-l_binary64_19`
86×	`associate-+l+_binary64_11`
77×	`associate-r_binary64_18`
72×	`+-commutative_binary64_8`
65×	`exp-prod_binary64_130`
63×	`associate-+r+_binary64_10`
61×	`sub-neg_binary64_71` `distribute-neg-frac_binary64_42`
49×	`associate-/r*_binary64_22`
44×	`neg-sub0_binary64_73`
41×	`neg-mul-1_binary64_74`
37×	`distribute-lft-neg-out_binary64_37`
33×	`exp-sum_binary64_124` `associate-/r/_binary64_24`
29×	`sqr-pow_binary64_50` `distribute-rgt-out_binary64_31` `associate--l+_binary64_15`
28×	`cube-prod_binary64_106`
27×	`associate-+l-_binary64_13`
26×	`distribute-neg-in_binary64_39`
25×	`cube-div_binary64_107`
24×	`log-prod_binary64_164` `associate-+r-_binary64_12`
21×	`log-div_binary64_165`
20×	`associate--r+_binary64_14`
18×	`exp-diff_binary64_126`
16×	`associate-/l/_binary64_25`
15×	`unswap-sqr_binary64_46` `distribute-rgt-out--_binary64_32`
12×	`distribute-rgt-neg-out_binary64_38`
11×	`unpow3_binary64_144` `distribute-lft-out_binary64_29`
10×	`*-lft-identity_binary64_67` `swap-sqr_binary64_45`
9×	`div-sub_binary64_83` `*-rgt-identity_binary64_68` `distribute-lft-out--_binary64_30`
8×	`cube-mult_binary64_108` `unsub-neg_binary64_72`
6×	`sqr-neg_binary64_92`
5×	`div-exp_binary64_129` `mul-1-neg_binary64_70`
4×	`cube-neg_binary64_105` `difference-of-squares_binary64_47` `distribute-rgt1-in_binary64_34` `associate--r-_binary64_17`
3×	`+-rgt-identity_binary64_63`
2×	`log-rec_binary64_166` `exp-neg_binary64_125`
1×	`unpow2_binary64_143` `unpow1/2_binary64_142` `prod-exp_binary64_127` `1-exp_binary64_122` `exp-1-e_binary64_121` `cube-unmult_binary64_115` `/-rgt-identity_binary64_69` `remove-double-neg_binary64_66` `pow-sqr_binary64_51` `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` `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` `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` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `*-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `cancel-sign-sub_binary64_43` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `count-2_binary64_26` `associate--l-_binary64_16`

Counts

99 → 63

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1465
1	393	1354
2	1232	1297
3	3863	1297
4	4960	1297

prune70.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	63	5	68

Error

Counts

68 → 5

Compiler

Compiled 1010 to 472 computations (53.3% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))
9.0b	(cbrt.f64 (/.f64 x y))
9.0b	(cbrt.f64 (/.f64 x y))
9.0b	(cbrt.f64 (/.f64 x y))

rewrite202.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

39×	`cbrt-prod_binary64_109`
27×	`times-frac_binary64_84`
25×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
16×	`pow1_binary64_139` `add-exp-log_binary64_116`
15×	`cbrt-div_binary64_110`
10×	`add-cbrt-cube_binary64_114`
8×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
7×	`associate-*r/_binary64_20`
5×	`frac-times_binary64_88` `associate-*l/_binary64_21`
4×	`add-log-exp_binary64_117`
3×	`pow1/3_binary64_160` `div-inv_binary64_75`
1×	`associate-l_binary64_19` `associate-r_binary64_18` `*-commutative_binary64_9`

Counts

4 → 95

Calls

4 calls:

16.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))
3.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))
2.0ms	(cbrt.f64 (/.f64 x y))

Compiler

Compiled 2753 to 813 computations (70.5% saved)

series1.2s (16.5%)

Error

Counts

4 → 27

Calls

4 calls:

314.0ms	(cbrt.f64 (/.f64 x y))
305.0ms	(cbrt.f64 (/.f64 x y))
299.0ms	(cbrt.f64 (/.f64 x y))
220.0ms	(.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (*.f64 z (cbrt.f64 (/.f64 x y))))

Compiler

Compiled 1826 to 1277 computations (30.1% saved)

simplify139.0ms (2%)

Algorithm

1×	egg-herbie

Rules

545×	`associate-/r/_binary64_24`
286×	`log-div_binary64_165`
264×	`associate-*l/_binary64_21`
212×	`*-commutative_binary64_9`
203×	`associate-*r/_binary64_20`
202×	`log-prod_binary64_164`
156×	`associate-/l*_binary64_23`
141×	`times-frac_binary64_84`
129×	`associate-l_binary64_19`
107×	`associate-r_binary64_18`
106×	`associate-/r*_binary64_22`
105×	`associate--r+_binary64_14`
101×	`exp-sum_binary64_124`
95×	`sub-neg_binary64_71`
87×	`div-sub_binary64_83`
85×	`distribute-rgt-in_binary64_28`
81×	`sqr-pow_binary64_50`
80×	`associate--l+_binary64_15`
75×	`distribute-lft-in_binary64_27`
71×	`distribute-neg-frac_binary64_42`
68×	`exp-diff_binary64_126`
58×	`associate--r-_binary64_17`
56×	`exp-prod_binary64_130`
54×	`distribute-rgt-neg-in_binary64_36`
49×	`cube-div_binary64_107`
48×	`unswap-sqr_binary64_46`
47×	`cancel-sign-sub-inv_binary64_44` `associate--l-_binary64_16`
46×	`distribute-lft-neg-in_binary64_35`
43×	`neg-sub0_binary64_73`
40×	`neg-mul-1_binary64_74`
38×	`unpow3_binary64_144` `unsub-neg_binary64_72`
33×	`log-pow_binary64_167`
30×	`cube-prod_binary64_106`
29×	`associate-/l/_binary64_25`
22×	`log-rec_binary64_166` `distribute-neg-in_binary64_39`
21×	`associate-+r-_binary64_12`
19×	`swap-sqr_binary64_45` `distribute-rgt-neg-out_binary64_38`
18×	`distribute-frac-neg_binary64_41`
17×	`+-commutative_binary64_8`
15×	`pow-sqr_binary64_51`
14×	`cube-mult_binary64_108` `associate-+r+_binary64_10`
12×	`exp-neg_binary64_125` `distribute-neg-out_binary64_40` `distribute-lft-neg-out_binary64_37`
11×	`unpow1/3_binary64_145` `associate-+l-_binary64_13`
9×	`exp-to-pow_binary64_140` `associate-+l+_binary64_11`
8×	`rem-exp-log_binary64_118` `cube-unmult_binary64_115`
7×	`remove-double-neg_binary64_66`
6×	`sub0-neg_binary64_65`
5×	`mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `*-rgt-identity_binary64_68` `+-rgt-identity_binary64_63`
4×	`--rgt-identity_binary64_64`
3×	`pow-plus_binary64_141` `rem-3cbrt-lft_binary64_103` `count-2_binary64_26`
2×	`rem-sqrt-square_binary64_91` `*-lft-identity_binary64_67` `distribute-lft-out_binary64_29`
1×	`1-exp_binary64_122` `rem-3cbrt-rft_binary64_104` `rem-cube-cbrt_binary64_101` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `distribute-rgt-out--_binary64_32`
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` `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` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `cube-neg_binary64_105` `rem-cbrt-cube_binary64_102` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `+-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` `difference-of-squares_binary64_47` `cancel-sign-sub_binary64_43` `distribute-rgt-out_binary64_31` `distribute-lft-out--_binary64_30`

Counts

122 → 70

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	137	2091
1	281	1653
2	749	1611
3	2439	1467
4	4613	1461
5	4927	1461
6	5044	1461

prune65.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	70	5	75

Error

Counts

75 → 5

Compiler

Compiled 1009 to 395 computations (60.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
0.0b	(/.f64 (+.f64 x 4) y)
7.7b	(*.f64 x (/.f64 z y))

rewrite139.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`*-un-lft-identity_binary64_78`
25×	`add-sqr-sqrt_binary64_100`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
13×	`associate-r_binary64_18`
10×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
5×	`pow1_binary64_139` `add-log-exp_binary64_117`
4×	`distribute-lft-out_binary64_29` `associate-/l*_binary64_23`
3×	`associate-r/_binary64_20` `associate-l_binary64_19` `associate-/r_binary64_22`
2×	`div-exp_binary64_129` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `unswap-sqr_binary64_46` `div-inv_binary64_75` `associate-/l/_binary64_25`
1×	`pow-prod-down_binary64_149` `*-commutative_binary64_9` `frac-2neg_binary64_89` `clear-num_binary64_77` `flip3-+_binary64_81` `flip-+_binary64_52` `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

3 → 79

Calls

3 calls:

10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
9.0ms	(*.f64 x (/.f64 z y))
5.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 1434 to 693 computations (51.7% saved)

series593.0ms (8.4%)

Error

Counts

3 → 33

Calls

3 calls:

347.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
132.0ms	(*.f64 x (/.f64 z y))
96.0ms	(/.f64 (+.f64 x 4) y)

Compiler

Compiled 896 to 697 computations (22.2% saved)

simplify110.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

466×	`div-sub_binary64_83`
383×	`associate-r_binary64_18`
317×	`associate-*r/_binary64_20`
300×	`associate-*l/_binary64_21`
298×	`distribute-rgt-neg-in_binary64_36`
270×	`associate-/l*_binary64_23`
243×	`cancel-sign-sub-inv_binary64_44`
241×	`distribute-neg-frac_binary64_42`
167×	`*-commutative_binary64_9`
146×	`distribute-lft-neg-out_binary64_37`
145×	`distribute-rgt-in_binary64_28`
140×	`distribute-lft-in_binary64_27`
138×	`times-frac_binary64_84`
119×	`associate-/l/_binary64_25`
118×	`sub-neg_binary64_71`
104×	`distribute-rgt-neg-out_binary64_38`
93×	`associate-l_binary64_19`
89×	`exp-prod_binary64_130`
87×	`associate-/r*_binary64_22`
83×	`associate-/r/_binary64_24`
73×	`distribute-lft-neg-in_binary64_35`
72×	`neg-sub0_binary64_73`
68×	`neg-mul-1_binary64_74`
64×	`*-lft-identity_binary64_67`
61×	`log-prod_binary64_164` `unsub-neg_binary64_72`
60×	`cube-prod_binary64_106`
53×	`sqr-pow_binary64_50`
52×	`exp-sum_binary64_124`
51×	`*-rgt-identity_binary64_68`
50×	`+-commutative_binary64_8`
38×	`cube-div_binary64_107`
37×	`exp-diff_binary64_126`
36×	`associate-+l+_binary64_11`
35×	`log-div_binary64_165`
31×	`distribute-neg-in_binary64_39`
28×	`unswap-sqr_binary64_46` `associate-+r+_binary64_10`
27×	`distribute-frac-neg_binary64_41`
25×	`swap-sqr_binary64_45`
24×	`associate-+l-_binary64_13`
22×	`/-rgt-identity_binary64_69`
20×	`unpow3_binary64_144` `associate-+r-_binary64_12`
17×	`difference-of-squares_binary64_47`
16×	`+-rgt-identity_binary64_63`
15×	`sqr-neg_binary64_92` `distribute-rgt-out_binary64_31`
14×	`cube-mult_binary64_108`
12×	`cube-neg_binary64_105`
11×	`associate--l+_binary64_15`
10×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
9×	`mul-1-neg_binary64_70` `sub0-neg_binary64_65`
8×	`associate--r+_binary64_14`
7×	`distribute-rgt-out--_binary64_32`
6×	`log-rec_binary64_166`
5×	`cube-unmult_binary64_115` `pow-sqr_binary64_51`
4×	`distribute-lft-out_binary64_29`
3×	`exp-neg_binary64_125` `remove-double-neg_binary64_66` `remove-double-div_binary64_54`
2×	`unpow1/2_binary64_142` `rem-sqrt-square_binary64_91` `div0_binary64_59` `associate--r-_binary64_17` `associate--l-_binary64_16`
1×	`div-exp_binary64_129` `1-exp_binary64_122` `exp-1-e_binary64_121` `cancel-sign-sub_binary64_43` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34`
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` `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-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` `distribute-lft1-in_binary64_33` `distribute-lft-out--_binary64_30` `count-2_binary64_26`

Counts

112 → 57

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	159	1441
1	393	1409
2	1180	1379
3	3304	1350
4	4679	1346
5	5547	1346

prune47.0ms (0.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	57	5	62

Error

Counts

62 → 5

Compiler

Compiled 614 to 310 computations (49.5% saved)

regimes686.0ms (9.7%)

Accuracy

Total 0.1b remaining (82.2%)

Threshold costs 0.1b (82.2%)

Compiler

Compiled 4613 to 3468 computations (24.8% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64_8`
10×	`sub-neg_binary64_71` `*-commutative_binary64_9`
6×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73` `cancel-sign-sub-inv_binary64_44`
4×	`distribute-rgt-neg-in_binary64_36`
2×	`distribute-neg-frac_binary64_42` `distribute-lft-neg-out_binary64_37` `distribute-lft-neg-in_binary64_35`
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` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `unpow1_binary64_136` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `unsub-neg_binary64_72` `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	32	102
1	55	102
2	75	102
3	88	102
4	95	102
5	96	102
6	95	102

end3.0ms (0%)

Compiler: Compiled 68 to 40 computations (41.2% saved)

sample945.0ms (13.3%)

Algorithm

1×

intervals

Results

446.0ms	8000×	body	128	valid
51.0ms	1176×	body	128	invalid

Compiler

Compiled 161 to 120 computations (25.5% 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

analyze996.0ms (14.1%)

sample22.0ms (0.3%)

simplify55.0ms (0.8%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite136.0ms (1.9%)

series615.0ms (8.7%)

simplify104.0ms (1.5%)

prune74.0ms (1%)

localize9.0ms (0.1%)

rewrite145.0ms (2%)

series639.0ms (9%)

simplify80.0ms (1.1%)

prune70.0ms (1%)

localize16.0ms (0.2%)

rewrite202.0ms (2.8%)

series1.2s (16.5%)

simplify139.0ms (2%)

prune65.0ms (0.9%)

localize8.0ms (0.1%)

rewrite139.0ms (2%)

series593.0ms (8.4%)

simplify110.0ms (1.5%)

prune47.0ms (0.7%)

regimes686.0ms (9.7%)

bsearch4.0ms (0.1%)

simplify9.0ms (0.1%)

end3.0ms (0%)

sample945.0ms (13.3%)

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