Details

analyze449.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Rules

943×	`associate--r-_binary64_17`
577×	`associate--l-_binary64_16`
492×	`sub-neg_binary64_71`
480×	`distribute-rgt-in_binary64_28`
408×	`distribute-lft-in_binary64_27`
390×	`associate--r+_binary64_14`
379×	`unsub-neg_binary64_72`
332×	`*-commutative_binary64_9`
316×	`+-commutative_binary64_8`
306×	`distribute-neg-in_binary64_39`
289×	`associate--l+_binary64_15`
258×	`distribute-rgt-out--_binary64_32`
215×	`cancel-sign-sub-inv_binary64_44`
144×	`neg-sub0_binary64_73`
132×	`neg-mul-1_binary64_74`
120×	`associate-r_binary64_18`
111×	`associate-l_binary64_19`
96×	`associate-+l-_binary64_13`
84×	`distribute-rgt-neg-in_binary64_36`
73×	`distribute-lft-neg-out_binary64_37`
67×	`associate-+r-_binary64_12`
60×	`mul-1-neg_binary64_70`
58×	`distribute-rgt-neg-out_binary64_38`
53×	`distribute-lft-neg-in_binary64_35`
48×	`distribute-neg-out_binary64_40`
34×	`associate-+l+_binary64_11`
29×	`remove-double-neg_binary64_66` `associate-+r+_binary64_10`
27×	`--rgt-identity_binary64_64`
24×	`log-prod_binary64_164` `sub0-neg_binary64_65`
16×	`+-rgt-identity_binary64_63`
14×	`*-rgt-identity_binary64_68` `mul0-rgt_binary64_61` `mul0-lft_binary64_60`
11×	`*-lft-identity_binary64_67`
10×	`distribute-lft-out--_binary64_30`
8×	`distribute-rgt-out_binary64_31`
2×	`distribute-rgt1-in_binary64_34`
1×	`1-exp_binary64_122` `count-2_binary64_26`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow3_binary64_144` `unpow2_binary64_143` `unpow1/2_binary64_142` `pow-plus_binary64_141` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-prod_binary64_130` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-unmult_binary64_115` `cube-mult_binary64_108` `cube-div_binary64_107` `cube-prod_binary64_106` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `times-frac_binary64_84` `div-sub_binary64_83` `/-rgt-identity_binary64_69` `+-lft-identity_binary64_62` `div0_binary64_59` `-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `pow-sqr_binary64_51` `sqr-pow_binary64_50` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `unswap-sqr_binary64_46` `swap-sqr_binary64_45` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-lft1-in_binary64_33` `distribute-lft-out_binary64_29` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-*r/_binary64_20`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	48
1	42	48
2	91	48
3	207	48
4	331	48
5	673	48
6	1007	48
7	1723	48
8	2310	48
9	2374	48
10	2496	48
11	2581	48
12	2587	48
13	2603	48
14	2607	48
15	5139	48
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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify317.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

3341×	`associate--r-_binary64_17`
940×	`distribute-rgt-in_binary64_28`
897×	`unsub-neg_binary64_72`
773×	`distribute-lft-in_binary64_27`
394×	`sub-neg_binary64_71`
359×	`distribute-neg-in_binary64_39`
242×	`+-commutative_binary64_8`
183×	`associate-+r-_binary64_12`
171×	`cancel-sign-sub-inv_binary64_44`
165×	`associate-l_binary64_19`
155×	`associate-+l-_binary64_13`
152×	`*-commutative_binary64_9`
143×	`associate--l-_binary64_16`
140×	`neg-sub0_binary64_73`
135×	`distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36`
124×	`associate-+r+_binary64_10`
123×	`associate-r_binary64_18`
118×	`distribute-rgt-out_binary64_31`
115×	`distribute-neg-out_binary64_40` `associate-+l+_binary64_11`
112×	`distribute-lft-neg-in_binary64_35`
108×	`neg-mul-1_binary64_74`
106×	`associate--r+_binary64_14`
83×	`distribute-rgt-out--_binary64_32`
79×	`associate--l+_binary64_15`
59×	`-rgt-identity_binary64_68` `-lft-identity_binary64_67`
52×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
43×	`distribute-lft-out--_binary64_30`
32×	`remove-double-neg_binary64_66`
17×	`--rgt-identity_binary64_64` `distribute-lft-out_binary64_29`
14×	`distribute-rgt1-in_binary64_34`
13×	`+-rgt-identity_binary64_63`
12×	`sub0-neg_binary64_65`
8×	`log-prod_binary64_164`
7×	`mul-1-neg_binary64_70` `distribute-lft1-in_binary64_33`
4×	`count-2_binary64_26`
3×	`+-lft-identity_binary64_62`
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` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow3_binary64_144` `unpow2_binary64_143` `unpow1/2_binary64_142` `pow-plus_binary64_141` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-prod_binary64_130` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-unmult_binary64_115` `cube-mult_binary64_108` `cube-div_binary64_107` `cube-prod_binary64_106` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `times-frac_binary64_84` `div-sub_binary64_83` `/-rgt-identity_binary64_69` `div0_binary64_59` `-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `pow-sqr_binary64_51` `sqr-pow_binary64_50` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `unswap-sqr_binary64_46` `swap-sqr_binary64_45` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-*r/_binary64_20`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	15	12
2	32	12
3	67	12
4	108	12
5	185	12
6	281	12
7	793	12
8	1979	12
9	1995	12
10	2285	12
11	2491	12
12	2613	12
13	2660	12
14	2660	12
15	2677	12
16	2681	12
17	2681	12
18	3069	12
19	3329	12
20	3232	12
21	3302	12
22	3250	12
23	3248	12
24	3248	12
25	3248	12
26	5786	12

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

1 → 1

Compiler

Compiled 8 to 7 computations (12.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
0.2b	(*.f64 x (log.f64 y))

rewrite60.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`associate--l+_binary64_15`
14×	`add-sqr-sqrt_binary64_100`
12×	`*-un-lft-identity_binary64_78` `log-prod_binary64_164`
10×	`add-cube-cbrt_binary64_113`
7×	`add-log-exp_binary64_117`
6×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `cancel-sign-sub-inv_binary64_44`
5×	`pow1_binary64_139`
4×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `associate-r_binary64_18`
3×	`associate-l_binary64_19` `diff-log_binary64_170`
2×	`sub-neg_binary64_71`
1×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `log-pow_binary64_167` `*-commutative_binary64_9` `flip3--_binary64_82` `flip--_binary64_53` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `associate--l-_binary64_16`

Counts

2 → 53

Calls

2 calls:

9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
5.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 771 to 231 computations (70% saved)

series525.0ms (8.9%)

Error

0.1b

Counts

2 → 23

Calls

2 calls:

315.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
194.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 461 to 329 computations (28.6% saved)

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

76 → 61

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	886
1	242	821
2	588	813
3	1711	813
4	3542	813
5	4908	813

prune49.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	4	62

Error

0.0b

Counts

62 → 4

Compiler

Compiled 734 to 180 computations (75.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite235.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`cbrt-prod_binary64_109` `log-prod_binary64_164` `associate-+r+_binary64_10`
11×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
9×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
6×	`add-log-exp_binary64_117` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27`
3×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-l_binary64_19`
2×	`pow1/3_binary64_160`
1×	`sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `distribute-lft-out_binary64_29` `+-commutative_binary64_8` `associate-r_binary64_18` `*-commutative_binary64_9`

Counts

4 → 64

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1551 to 628 computations (59.5% saved)

series1.0s (17.6%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

411.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
407.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
105.0ms	(cbrt.f64 y)
102.0ms	(cbrt.f64 y)

Compiler

Compiled 936 to 729 computations (22.1% saved)

simplify118.0ms (2%)

Algorithm

1×	egg-herbie

Rules

380×	`distribute-rgt-out_binary64_31`
378×	`cancel-sign-sub-inv_binary64_44`
360×	`*-commutative_binary64_9`
268×	`distribute-rgt-neg-in_binary64_36`
250×	`log-prod_binary64_164`
242×	`distribute-lft-neg-in_binary64_35`
182×	`distribute-rgt-in_binary64_28`
163×	`distribute-lft-in_binary64_27`
162×	`exp-prod_binary64_130`
159×	`exp-sum_binary64_124`
133×	`associate-l_binary64_19`
132×	`associate-r_binary64_18`
130×	`distribute-neg-in_binary64_39`
117×	`associate--l+_binary64_15`
115×	`count-2_binary64_26`
111×	`distribute-lft-out_binary64_29`
110×	`log-div_binary64_165`
93×	`log-pow_binary64_167`
84×	`sqr-pow_binary64_50` `distribute-rgt-out--_binary64_32`
70×	`exp-to-pow_binary64_140`
66×	`unswap-sqr_binary64_46`
63×	`sub-neg_binary64_71`
62×	`cube-prod_binary64_106`
58×	`swap-sqr_binary64_45`
47×	`neg-sub0_binary64_73` `distribute-lft-out--_binary64_30` `+-commutative_binary64_8`
46×	`neg-mul-1_binary64_74` `distribute-lft-neg-out_binary64_37`
42×	`associate-/r*_binary64_22`
28×	`exp-diff_binary64_126` `distribute-rgt1-in_binary64_34`
24×	`associate-+l+_binary64_11`
23×	`distribute-rgt-neg-out_binary64_38` `associate-/l*_binary64_23`
20×	`associate-+r+_binary64_10`
19×	`associate--r-_binary64_17`
17×	`unpow3_binary64_144`
16×	`distribute-lft1-in_binary64_33` `associate-/l/_binary64_25`
15×	`log-rec_binary64_166` `unsub-neg_binary64_72` `pow-sqr_binary64_51`
9×	`cube-mult_binary64_108`
8×	`unpow1/3_binary64_145`
7×	`prod-exp_binary64_127` `div-sub_binary64_83` `associate-+r-_binary64_12`
6×	`exp-lft-sqr_binary64_133` `+-rgt-identity_binary64_63` `associate-*r/_binary64_20` `associate-+l-_binary64_13`
5×	`cube-unmult_binary64_115`
4×	`pow-plus_binary64_141` `exp-neg_binary64_125` `rem-sqrt-square_binary64_91` `difference-of-squares_binary64_47` `associate--l-_binary64_16`
3×	`exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `sub0-neg_binary64_65` `associate--r+_binary64_14`
2×	`unpow1_binary64_136` `associate-/r/_binary64_24`
1×	`unpow1/2_binary64_142` `exp-lft-cube_binary64_134` `1-exp_binary64_122` `rem-exp-log_binary64_118` `rem-3cbrt-lft_binary64_103` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `*-rgt-identity_binary64_68` `remove-double-neg_binary64_66` `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` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-cbrt_binary64_132` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `cube-div_binary64_107` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `times-frac_binary64_84` `-lft-identity_binary64_67` `--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-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `associate-*l/_binary64_21`

Counts

82 → 60

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	124	1194
1	293	967
2	909	805
3	2413	797
4	4289	775
5	4915	775
6	4881	775

prune66.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	58	6	64

Error

Counts

64 → 6

Compiler

Compiled 1174 to 504 computations (57.1% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (pow.f64 y 2/3))
6.1b	(pow.f64 y 2/3)

rewrite87.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`cbrt-prod_binary64_109`
10×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
6×	`unpow-prod-down_binary64_157`
5×	`pow1_binary64_139` `add-exp-log_binary64_116`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114`
3×	`pow-unpow_binary64_155` `pow1/3_binary64_160`
2×	`sqr-pow_binary64_50`
1×	`pow-pow_binary64_150` `pow-to-exp_binary64_147` `pow-exp_binary64_146`

Counts

4 → 54

Calls

4 calls:

2.0ms	(pow.f64 y 2/3)
2.0ms	(cbrt.f64 (pow.f64 y 2/3))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1507 to 848 computations (43.7% saved)

series478.0ms (8.1%)

Error

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt.f64 y)
119.0ms	(cbrt.f64 y)
112.0ms	(cbrt.f64 (pow.f64 y 2/3))
107.0ms	(pow.f64 y 2/3)

Compiler

Compiled 918 to 696 computations (24.2% saved)

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

960×	`log-prod_binary64_164`
568×	`unswap-sqr_binary64_46`
377×	`exp-sum_binary64_124`
272×	`*-commutative_binary64_9`
253×	`log-div_binary64_165`
193×	`sqr-pow_binary64_50`
191×	`associate-l_binary64_19`
155×	`distribute-rgt-in_binary64_28`
149×	`log-pow_binary64_167`
147×	`associate-r_binary64_18`
144×	`distribute-lft-in_binary64_27`
143×	`associate-/r*_binary64_22`
119×	`exp-prod_binary64_130`
114×	`sub-neg_binary64_71`
110×	`associate-+r+_binary64_10`
88×	`distribute-rgt-neg-in_binary64_36`
86×	`associate-+l+_binary64_11`
85×	`distribute-lft-neg-in_binary64_35`
73×	`div-sub_binary64_83`
65×	`exp-diff_binary64_126` `associate--r+_binary64_14`
61×	`pow-sqr_binary64_51`
57×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73` `cancel-sign-sub-inv_binary64_44`
55×	`cube-prod_binary64_106`
54×	`unsub-neg_binary64_72`
38×	`pow-plus_binary64_141`
36×	`distribute-neg-in_binary64_39`
34×	`cube-unmult_binary64_115`
27×	`associate-/l/_binary64_25`
24×	`exp-to-pow_binary64_140`
22×	`rem-sqrt-square_binary64_91`
21×	`distribute-rgt-out_binary64_31`
18×	`swap-sqr_binary64_45` `associate-/l*_binary64_23`
16×	`*-rgt-identity_binary64_68`
15×	`*-lft-identity_binary64_67`
14×	`+-commutative_binary64_8`
13×	`+-lft-identity_binary64_62`
11×	`unpow3_binary64_144`
10×	`distribute-lft-out_binary64_29` `count-2_binary64_26` `associate--r-_binary64_17`
9×	`distribute-rgt-neg-out_binary64_38`
8×	`unpow1/3_binary64_145` `sub0-neg_binary64_65` `distribute-lft-neg-out_binary64_37`
7×	`+-rgt-identity_binary64_63` `associate-*r/_binary64_20`
5×	`pow-base-1_binary64_138` `cube-mult_binary64_108` `remove-double-neg_binary64_66` `associate--l-_binary64_16`
4×	`prod-exp_binary64_127` `times-frac_binary64_84` `mul-1-neg_binary64_70`
3×	`log-rec_binary64_166` `unpow2_binary64_143` `associate-*l/_binary64_21` `associate-+l-_binary64_13`
2×	`exp-neg_binary64_125` `rem-exp-log_binary64_118` `rem-3cbrt-lft_binary64_103` `/-rgt-identity_binary64_69` `associate-/r/_binary64_24` `associate--l+_binary64_15`
1×	`log-E_binary64_168` `unpow1/2_binary64_142` `unpow1_binary64_136` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-cbrt-cube_binary64_102` `--rgt-identity_binary64_64` `+-inverses_binary64_57` `distribute-neg-out_binary64_40` `distribute-rgt1-in_binary64_34` `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` `pow-base-0_binary64_162` `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` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `cube-div_binary64_107` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `div0_binary64_59` `*-inverses_binary64_58` `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-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-lft1-in_binary64_33` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30`

Counts

66 → 40

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	467
1	118	457
2	284	447
3	1008	447
4	3124	423
5	4509	423
6	5590	423

prune60.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	40	6	46

Error

Counts

46 → 6

Compiler

Compiled 1115 to 601 computations (46.1% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite71.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-prod_binary64_109`
9×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
4×	`pow1/3_binary64_160` `pow1_binary64_139` `add-log-exp_binary64_117` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`

Counts

4 → 47

Calls

4 calls:

3.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 1292 to 462 computations (64.2% saved)

series494.0ms (8.3%)

Error

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt.f64 (cbrt.f64 y))
123.0ms	(cbrt.f64 y)
114.0ms	(cbrt.f64 y)
99.0ms	(cbrt.f64 y)

Compiler

Compiled 921 to 639 computations (30.6% saved)

simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

513×	`log-prod_binary64_164`
450×	`unswap-sqr_binary64_46`
391×	`associate-+l+_binary64_11`
359×	`associate-+r+_binary64_10`
347×	`distribute-rgt-in_binary64_28`
341×	`distribute-lft-in_binary64_27`
328×	`distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35`
214×	`distribute-rgt-out_binary64_31`
192×	`*-commutative_binary64_9`
149×	`distribute-lft-out_binary64_29`
137×	`cancel-sign-sub-inv_binary64_44`
126×	`sqr-pow_binary64_50`
123×	`associate-l_binary64_19`
88×	`associate-r_binary64_18`
84×	`log-pow_binary64_167`
51×	`neg-sub0_binary64_73`
50×	`neg-mul-1_binary64_74`
38×	`pow-sqr_binary64_51`
34×	`rem-sqrt-square_binary64_91`
33×	`exp-prod_binary64_130`
28×	`sub-neg_binary64_71`
27×	`pow-plus_binary64_141`
24×	`unpow3_binary64_144` `unsub-neg_binary64_72`
23×	`cube-prod_binary64_106`
22×	`cube-unmult_binary64_115`
19×	`distribute-rgt1-in_binary64_34`
15×	`distribute-lft1-in_binary64_33`
14×	`count-2_binary64_26`
9×	`unpow2_binary64_143` `distribute-rgt-neg-out_binary64_38` `distribute-lft-neg-out_binary64_37`
8×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
7×	`cube-mult_binary64_108`
5×	`associate-/l/_binary64_25` `associate-*r/_binary64_20`
4×	`associate-/l*_binary64_23`
3×	`unpow1/3_binary64_145` `unpow1_binary64_136` `+-commutative_binary64_8`
2×	`rem-3cbrt-lft_binary64_103` `swap-sqr_binary64_45` `associate-/r/_binary64_24`
1×	`unpow1/2_binary64_142` `1-exp_binary64_122` `rem-cbrt-cube_binary64_102` `times-frac_binary64_84` `mul-1-neg_binary64_70` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `associate-/r*_binary64_22` `associate-+l-_binary64_13`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-rec_binary64_166` `log-div_binary64_165` `pow-base-0_binary64_162` `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` `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-div_binary64_107` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-square-sqrt_binary64_90` `div-sub_binary64_83` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `div0_binary64_59` `-inverses_binary64_58` `+-inverses_binary64_57` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `remove-double-div_binary64_54` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-out--_binary64_32` `distribute-lft-out--_binary64_30` `associate-l/_binary64_21` `associate--r-_binary64_17` `associate--l-_binary64_16` `associate--l+_binary64_15` `associate--r+_binary64_14` `associate-+r-_binary64_12`

Counts

59 → 22

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	424
1	63	424
2	158	424
3	489	376
4	976	376
5	3453	376
6	4795	376
7	4957	376
8	4718	376

prune29.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	22	6	28

Error

Counts

28 → 6

Compiler

Compiled 573 to 223 computations (61.1% saved)

regimes299.0ms (5.1%)

Accuracy

Total 0.1b remaining (96.1%)

Threshold costs 0.1b (96.1%)

Compiler

Compiled 2602 to 1872 computations (28.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg_binary64_71` `+-commutative_binary64_8`
3×	`*-commutative_binary64_9`
2×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
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-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `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	8	12
1	13	12
2	21	12
3	25	12
4	27	12
5	27	12

end0.0ms (0%)

sample1.2s (20.4%)

Algorithm

1×

intervals

Results

320.0ms	7997×	body	128	valid
1.0ms	31×	body	128	nan
1.0ms	22×	body	128	invalid
0.0ms	1×	body	2048	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 662 to 478 computations (27.8% saved)

Details

analyze449.0ms (7.6%)

sample21.0ms (0.4%)

simplify317.0ms (5.4%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite60.0ms (1%)

series525.0ms (8.9%)

simplify76.0ms (1.3%)

prune49.0ms (0.8%)

localize12.0ms (0.2%)

rewrite235.0ms (4%)

series1.0s (17.6%)

simplify118.0ms (2%)

prune66.0ms (1.1%)

localize21.0ms (0.3%)

rewrite87.0ms (1.5%)

series478.0ms (8.1%)

simplify84.0ms (1.4%)

prune60.0ms (1%)

localize17.0ms (0.3%)

rewrite71.0ms (1.2%)

series494.0ms (8.3%)

simplify98.0ms (1.6%)

prune29.0ms (0.5%)

regimes299.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (20.4%)

Profiling