Details

analyze152.0ms (1.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

28×	`sub-neg_binary64_71`
25×	`cancel-sign-sub-inv_binary64_44`
18×	`distribute-rgt-in_binary64_28`
16×	`neg-mul-1_binary64_74`
15×	`associate--r+_binary64_14`
14×	`unsub-neg_binary64_72`
12×	`associate--r-_binary64_17`
10×	`neg-sub0_binary64_73` `distribute-lft-in_binary64_27`
8×	`*-lft-identity_binary64_67` `sub0-neg_binary64_65` `distribute-neg-in_binary64_39` `+-commutative_binary64_8`
7×	`distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `associate-+l-_binary64_13`
6×	`+-lft-identity_binary64_62` `associate-+l+_binary64_11`
5×	`distribute-rgt-neg-out_binary64_38` `*-commutative_binary64_9`
4×	`*-rgt-identity_binary64_68`
2×	`--rgt-identity_binary64_64` `associate--l+_binary64_15` `associate-+r-_binary64_12` `associate-+r+_binary64_10`
1×	`1-exp_binary64_122` `remove-double-neg_binary64_66` `+-rgt-identity_binary64_63` `distribute-lft-neg-in_binary64_35`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `log-prod_binary64_164` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow3_binary64_144` `unpow2_binary64_143` `unpow1/2_binary64_142` `pow-plus_binary64_141` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-prod_binary64_130` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-unmult_binary64_115` `cube-mult_binary64_108` `cube-div_binary64_107` `cube-prod_binary64_106` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `times-frac_binary64_84` `div-sub_binary64_83` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `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` `pow-sqr_binary64_51` `sqr-pow_binary64_50` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `unswap-sqr_binary64_46` `swap-sqr_binary64_45` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-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` `count-2_binary64_26` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-r/_binary64_20` `associate-l_binary64_19` `associate-r*_binary64_18` `associate--l-_binary64_16`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	14	22
2	22	22
3	33	22
4	42	22
5	66	22
6	99	22
7	116	22
8	139	22
9	143	22
10	131	22
11	117	22
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample84.0ms (0.9%)

Algorithm

1×

intervals

Results

35.0ms	135×	body	1024	valid
29.0ms	57×	body	2048	valid
8.0ms	43×	body	512	valid
2.0ms	16×	body	256	valid
0.0ms	5×	body	128	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

15×	`sub-neg_binary64_71`
14×	`cancel-sign-sub-inv_binary64_44`
10×	`distribute-rgt-in_binary64_28`
9×	`neg-mul-1_binary64_74`
8×	`associate--r+_binary64_14`
7×	`unsub-neg_binary64_72`
6×	`neg-sub0_binary64_73` `associate--r-_binary64_17`
5×	`distribute-neg-in_binary64_39` `distribute-lft-neg-out_binary64_37` `distribute-rgt-neg-in_binary64_36` `distribute-lft-in_binary64_27` `+-commutative_binary64_8`
4×	`*-lft-identity_binary64_67` `sub0-neg_binary64_65` `associate-+l-_binary64_13`
3×	`+-lft-identity_binary64_62` `distribute-rgt-neg-out_binary64_38` `associate-+l+_binary64_11` `*-commutative_binary64_9`
2×	`*-rgt-identity_binary64_68`
1×	`1-exp_binary64_122` `remove-double-neg_binary64_66` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `distribute-lft-neg-in_binary64_35` `associate--l+_binary64_15` `associate-+r-_binary64_12` `associate-+r+_binary64_10`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `log-div_binary64_165` `log-prod_binary64_164` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow3_binary64_144` `unpow2_binary64_143` `unpow1/2_binary64_142` `pow-plus_binary64_141` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow1_binary64_136` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-prod_binary64_130` `div-exp_binary64_129` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-diff_binary64_126` `exp-neg_binary64_125` `exp-sum_binary64_124` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-unmult_binary64_115` `cube-mult_binary64_108` `cube-div_binary64_107` `cube-prod_binary64_106` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `rem-sqrt-square_binary64_91` `rem-square-sqrt_binary64_90` `times-frac_binary64_84` `div-sub_binary64_83` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `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` `pow-sqr_binary64_51` `sqr-pow_binary64_50` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `difference-of-squares_binary64_47` `unswap-sqr_binary64_46` `swap-sqr_binary64_45` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-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` `count-2_binary64_26` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/l_binary64_23` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-r/_binary64_20` `associate-l_binary64_19` `associate-r*_binary64_18` `associate--l-_binary64_16`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11

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

38.5b

Counts

1 → 1

Compiler

Compiled 7 to 6 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.7b	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
3.7b	(cos.f64 (+.f64 x eps))

rewrite47.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

14.5b

Rules

5×	`add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
4×	`add-log-exp_binary64_117`
3×	`add-cube-cbrt_binary64_113` `cancel-sign-sub-inv_binary64_44`
2×	`cos-sum_binary64_212` `pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
1×	`diff-cos_binary64_229` `diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `associate--l-_binary64_16`

Counts

2 → 26

Calls

2 calls:

7.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
4.0ms	(cos.f64 (+.f64 x eps))

Compiler

Compiled 382 to 101 computations (73.6% saved)

series204.0ms (2.2%)

Error

14.1b

Counts

2 → 24

Calls

2 calls:

116.0ms	(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
56.0ms	(cos.f64 (+.f64 x eps))

Compiler

Compiled 702 to 440 computations (37.3% saved)

simplify79.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

303×	`distribute-rgt-in_binary64_28`
294×	`associate-+l-_binary64_13`
288×	`associate-+l+_binary64_11`
287×	`sub-neg_binary64_71`
256×	`associate--l+_binary64_15`
250×	`distribute-lft-in_binary64_27`
225×	`associate-l_binary64_19`
217×	`associate-r_binary64_18`
209×	`neg-mul-1_binary64_74`
167×	`associate--r+_binary64_14`
152×	`cancel-sign-sub-inv_binary64_44`
128×	`distribute-rgt-neg-in_binary64_36`
126×	`distribute-lft-neg-in_binary64_35`
100×	`associate-+r-_binary64_12`
97×	`distribute-lft-out_binary64_29`
92×	`distribute-lft-out--_binary64_30`
87×	`*-commutative_binary64_9` `+-commutative_binary64_8`
86×	`unswap-sqr_binary64_46`
79×	`distribute-rgt-out--_binary64_32`
77×	`distribute-rgt-out_binary64_31`
53×	`unsub-neg_binary64_72`
51×	`distribute-lft-neg-out_binary64_37`
48×	`associate--l-_binary64_16`
46×	`distribute-rgt-neg-out_binary64_38`
43×	`sqr-pow_binary64_50`
42×	`neg-sub0_binary64_73`
40×	`associate-+r+_binary64_10`
28×	`+-rgt-identity_binary64_63`
23×	`exp-sum_binary64_124`
22×	`exp-prod_binary64_130`
20×	`sub0-neg_binary64_65`
17×	`distribute-neg-in_binary64_39`
16×	`cube-unmult_binary64_115`
15×	`exp-diff_binary64_126`
14×	`unpow3_binary64_144`
13×	`div-sub_binary64_83`
12×	`pow-plus_binary64_141` `difference-of-squares_binary64_47`
10×	`cube-prod_binary64_106` `swap-sqr_binary64_45`
9×	`times-frac_binary64_84`
8×	`associate--r-_binary64_17`
7×	`mul0-rgt_binary64_61` `mul0-lft_binary64_60`
6×	`sqr-neg_binary64_92`
5×	`cancel-sign-sub_binary64_43` `associate-/l*_binary64_23`
4×	`cube-mult_binary64_108` `rem-sqrt-square_binary64_91` `mul-1-neg_binary64_70` `pow-sqr_binary64_51` `distribute-rgt1-in_binary64_34`
2×	`unpow2_binary64_143` `unpow1/2_binary64_142` `unpow1_binary64_136` `cube-neg_binary64_105` `+-inverses_binary64_57` `distribute-neg-frac_binary64_42` `count-2_binary64_26`
1×	`cos-neg_binary64_209` `sin-neg_binary64_208` `div-exp_binary64_129` `1-exp_binary64_122` `rem-3cbrt-lft_binary64_103` `rem-square-sqrt_binary64_90` `--rgt-identity_binary64_64` `distribute-lft1-in_binary64_33` `associate-/r/_binary64_24` `associate-/r*_binary64_22`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `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` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `rec-exp_binary64_128` `prod-exp_binary64_127` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-div_binary64_107` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `+-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-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `associate-/l/_binary64_25` `associate-l/_binary64_21` `associate-*r/_binary64_20`

Counts

50 → 40

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	854
1	265	829
2	627	787
3	1951	764
4	4868	764
5	5016	764

prune53.0ms (0.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	34	6	40
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	6	41

Error

0.2b

Counts

41 → 6

Compiler

Compiled 632 to 249 computations (60.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sin.f64 (/.f64 eps 2))
0.0b	(+.f64 x (+.f64 eps x))
0.3b	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
3.7b	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))

rewrite94.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

11×	`*-un-lft-identity_binary64_78`
9×	`add-log-exp_binary64_117`
8×	`add-sqr-sqrt_binary64_100`
6×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113`
3×	`associate-l_binary64_19` `associate-r_binary64_18` `sum-log_binary64_169` `distribute-lft-out_binary64_29`
1×	`sin-mult_binary64_233` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `*-commutative_binary64_9` `flip3-+_binary64_81` `flip-+_binary64_52` `associate-+r+_binary64_10` `+-commutative_binary64_8`

Counts

4 → 48

Calls

4 calls:

12.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
8.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
6.0ms	(+.f64 x (+.f64 eps x))
2.0ms	(sin.f64 (/.f64 eps 2))

Compiler

Compiled 1113 to 683 computations (38.6% saved)

series420.0ms (4.6%)

Error

0.2b

Counts

4 → 40

Calls

4 calls:

189.0ms	(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)))
93.0ms	(+.f64 x (+.f64 eps x))
73.0ms	(sin.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))
22.0ms	(sin.f64 (/.f64 eps 2))

Compiler

Compiled 1714 to 1437 computations (16.2% saved)

simplify130.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

577×	`distribute-rgt-neg-in_binary64_36`
538×	`distribute-lft-neg-in_binary64_35`
417×	`associate-l_binary64_19`
409×	`associate-r_binary64_18`
348×	`cancel-sign-sub-inv_binary64_44`
255×	`sub-neg_binary64_71`
201×	`*-commutative_binary64_9`
199×	`distribute-rgt-out_binary64_31`
145×	`distribute-rgt-out--_binary64_32`
135×	`distribute-rgt-in_binary64_28`
119×	`unswap-sqr_binary64_46`
111×	`distribute-lft-in_binary64_27`
93×	`neg-sub0_binary64_73`
92×	`neg-mul-1_binary64_74`
91×	`associate-+l+_binary64_11`
83×	`+-commutative_binary64_8`
78×	`associate-+r+_binary64_10`
67×	`unsub-neg_binary64_72`
66×	`associate--l+_binary64_15`
53×	`distribute-neg-in_binary64_39`
49×	`sqr-pow_binary64_50`
47×	`associate--r+_binary64_14`
45×	`associate-+r-_binary64_12`
44×	`associate-+l-_binary64_13`
41×	`exp-prod_binary64_130` `distribute-lft-neg-out_binary64_37`
35×	`+-rgt-identity_binary64_63`
34×	`cube-prod_binary64_106`
26×	`unpow3_binary64_144`
20×	`sub0-neg_binary64_65`
16×	`cube-unmult_binary64_115` `difference-of-squares_binary64_47`
14×	`distribute-rgt-neg-out_binary64_38`
11×	`exp-sum_binary64_124`
10×	`swap-sqr_binary64_45`
9×	`log-prod_binary64_164` `pow-plus_binary64_141` `cancel-sign-sub_binary64_43`
8×	`-rgt-identity_binary64_68` `-lft-identity_binary64_67`
7×	`pow-sqr_binary64_51`
6×	`unpow1/2_binary64_142` `distribute-neg-out_binary64_40`
5×	`cube-mult_binary64_108` `rem-sqrt-square_binary64_91` `+-inverses_binary64_57` `distribute-rgt1-in_binary64_34` `distribute-lft-out--_binary64_30`
4×	`prod-exp_binary64_127`
3×	`unpow2_binary64_143` `unpow1_binary64_136` `exp-diff_binary64_126`
2×	`distribute-lft1-in_binary64_33`
1×	`cos-neg_binary64_209` `exp-lft-sqr_binary64_133` `1-exp_binary64_122` `exp-1-e_binary64_121` `+-lft-identity_binary64_62` `mul0-lft_binary64_60` `distribute-neg-frac_binary64_42` `count-2_binary64_26` `associate-/l*_binary64_23`
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` `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` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `div-exp_binary64_129` `rec-exp_binary64_128` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-div_binary64_107` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-3cbrt-lft_binary64_103` `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` `div-sub_binary64_83` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `remove-double-neg_binary64_66` `--rgt-identity_binary64_64` `mul0-rgt_binary64_61` `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-frac-neg_binary64_41` `distribute-lft-out_binary64_29` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-/r_binary64_22` `associate-l/_binary64_21` `associate-r/_binary64_20` `associate--r-_binary64_17` `associate--l-_binary64_16`

Counts

88 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	138	1630
1	369	1486
2	977	1396
3	2995	1378
4	4914	1378
5	4990	1378
6	4915	1378

prune90.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	59	4	63
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	60	9	69

Error

0.2b

Counts

69 → 9

Compiler

Compiled 1443 to 964 computations (33.2% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (cos.f64 eps) (cos.f64 x))
0.2b	(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
0.2b	(*.f64 (sin.f64 eps) (sin.f64 x))
2.0b	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))

rewrite118.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`add-sqr-sqrt_binary64_100`
11×	`add-log-exp_binary64_117` `*-un-lft-identity_binary64_78`
9×	`add-cube-cbrt_binary64_113`
8×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
6×	`associate-l_binary64_19` `associate-r_binary64_18`
5×	`cancel-sign-sub-inv_binary64_44`
4×	`diff-log_binary64_170`
3×	`sub-neg_binary64_71` `sin-mult_binary64_233` `cos-mult_binary64_232`
2×	`flip3--_binary64_82` `flip--_binary64_53` `associate--l+_binary64_15` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `*-commutative_binary64_9`
1×	`difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `associate--l-_binary64_16` `frac-sub_binary64_87` `sub-div_binary64_85`

Counts

4 → 72

Calls

4 calls:

12.0ms	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
6.0ms	(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
5.0ms	(*.f64 (sin.f64 eps) (sin.f64 x))
5.0ms	(*.f64 (cos.f64 eps) (cos.f64 x))

Compiler

Compiled 1615 to 313 computations (80.6% saved)

series809.0ms (8.9%)

Error

0.2b

Counts

4 → 44

Calls

4 calls:

278.0ms	(-.f64 (-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x))) (cos.f64 x))
223.0ms	(-.f64 (.f64 (cos.f64 eps) (cos.f64 x)) (.f64 (sin.f64 eps) (sin.f64 x)))
142.0ms	(*.f64 (sin.f64 eps) (sin.f64 x))
127.0ms	(*.f64 (cos.f64 eps) (cos.f64 x))

Compiler

Compiled 1806 to 1016 computations (43.7% saved)

simplify134.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

474×	`sub-neg_binary64_71`
440×	`times-frac_binary64_84`
393×	`cancel-sign-sub-inv_binary64_44`
375×	`distribute-rgt-neg-in_binary64_36`
337×	`*-commutative_binary64_9`
172×	`distribute-lft-neg-in_binary64_35`
158×	`distribute-rgt-in_binary64_28`
149×	`distribute-lft-in_binary64_27`
148×	`unsub-neg_binary64_72`
147×	`associate-r_binary64_18`
142×	`associate-l_binary64_19`
134×	`+-commutative_binary64_8`
131×	`neg-mul-1_binary64_74`
130×	`neg-sub0_binary64_73`
118×	`associate-+l+_binary64_11`
117×	`associate--l+_binary64_15`
109×	`unswap-sqr_binary64_46`
105×	`sqr-pow_binary64_50`
101×	`distribute-lft-neg-out_binary64_37`
99×	`associate-+r+_binary64_10`
98×	`associate-+l-_binary64_13`
94×	`associate--r+_binary64_14`
84×	`distribute-rgt-neg-out_binary64_38`
83×	`exp-prod_binary64_130`
71×	`associate-+r-_binary64_12`
63×	`exp-sum_binary64_124`
56×	`distribute-neg-in_binary64_39`
52×	`distribute-rgt-out_binary64_31`
47×	`+-rgt-identity_binary64_63`
43×	`sub0-neg_binary64_65`
40×	`cube-prod_binary64_106`
39×	`log-prod_binary64_164`
36×	`exp-diff_binary64_126`
33×	`difference-of-squares_binary64_47`
28×	`distribute-rgt-out--_binary64_32`
27×	`swap-sqr_binary64_45`
21×	`-rgt-identity_binary64_68` `-lft-identity_binary64_67`
19×	`distribute-lft-out_binary64_29`
18×	`distribute-lft-out--_binary64_30`
17×	`cancel-sign-sub_binary64_43`
16×	`unpow3_binary64_144`
14×	`cube-unmult_binary64_115` `mul0-rgt_binary64_61` `mul0-lft_binary64_60`
12×	`pow-sqr_binary64_51`
10×	`sqr-neg_binary64_92`
9×	`rem-sqrt-square_binary64_91`
7×	`unpow1/2_binary64_142` `pow-plus_binary64_141` `distribute-neg-out_binary64_40` `associate-/l*_binary64_23`
6×	`cube-mult_binary64_108` `cube-neg_binary64_105` `remove-double-neg_binary64_66` `distribute-rgt1-in_binary64_34` `associate--r-_binary64_17`
5×	`associate--l-_binary64_16`
4×	`div-exp_binary64_129`
3×	`associate-/r*_binary64_22`
2×	`unpow2_binary64_143` `unpow1_binary64_136`
1×	`cos-neg_binary64_209` `log-pow_binary64_167` `prod-exp_binary64_127` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-3cbrt-lft_binary64_103` `rem-square-sqrt_binary64_90` `mul-1-neg_binary64_70` `--rgt-identity_binary64_64` `+-inverses_binary64_57` `distribute-lft1-in_binary64_33` `associate-/l/_binary64_25`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `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` `unpow1/3_binary64_145` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `rec-exp_binary64_128` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-div_binary64_107` `rem-3cbrt-rft_binary64_104` `rem-cbrt-cube_binary64_102` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `div-sub_binary64_83` `/-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-frac-neg_binary64_41` `count-2_binary64_26` `associate-/r/_binary64_24` `associate-l/_binary64_21` `associate-*r/_binary64_20`

Counts

116 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2276
1	532	2205
2	1518	2044
3	3441	2044
4	4713	2044
5	5486	2044

prune116.0ms (1.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	76	10	86
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	80	15	95

Error

0.1b

Counts

95 → 15

Compiler

Compiled 2071 to 734 computations (64.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
0.1b	(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
0.2b	(*.f64 (sin.f64 x) (sin.f64 eps))
1.5b	(+.f64 -1 (cos.f64 eps))

rewrite114.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
8×	`add-log-exp_binary64_117` `pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113`
7×	`associate-r_binary64_18`
6×	`associate-l_binary64_19`
4×	`associate-*r/_binary64_20`
3×	`flip3-+_binary64_81` `flip-+_binary64_52` `sin-mult_binary64_233`
2×	`distribute-lft-out_binary64_29` `pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `*-commutative_binary64_9` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `frac-sub_binary64_87` `associate--l+_binary64_15`
1×	`sum-log_binary64_169` `+-commutative_binary64_8` `diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`

Counts

4 → 70

Calls

4 calls:

8.0ms	(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
7.0ms	(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
7.0ms	(+.f64 -1 (cos.f64 eps))
5.0ms	(*.f64 (sin.f64 x) (sin.f64 eps))

Compiler

Compiled 1490 to 601 computations (59.7% saved)

series650.0ms (7.1%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

273.0ms	(-.f64 (.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps))) (.f64 (sin.f64 x) (sin.f64 eps)))
179.0ms	(*.f64 (cos.f64 x) (+.f64 -1 (cos.f64 eps)))
142.0ms	(*.f64 (sin.f64 x) (sin.f64 eps))
24.0ms	(+.f64 -1 (cos.f64 eps))

Compiler

Compiled 1604 to 1058 computations (34% saved)

simplify101.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

441×	`distribute-rgt-in_binary64_28`
402×	`distribute-lft-in_binary64_27`
368×	`cancel-sign-sub-inv_binary64_44`
241×	`neg-sub0_binary64_73`
239×	`associate--r+_binary64_14`
230×	`neg-mul-1_binary64_74`
222×	`associate--l+_binary64_15`
184×	`distribute-rgt-neg-in_binary64_36`
164×	`sub-neg_binary64_71` `associate-l_binary64_19`
157×	`distribute-lft-neg-in_binary64_35`
148×	`associate-r_binary64_18`
118×	`*-commutative_binary64_9`
78×	`+-commutative_binary64_8`
73×	`distribute-neg-in_binary64_39`
69×	`distribute-lft-neg-out_binary64_37`
59×	`exp-prod_binary64_130`
54×	`distribute-rgt-neg-out_binary64_38`
53×	`distribute-rgt-out_binary64_31`
49×	`sqr-pow_binary64_50`
48×	`unsub-neg_binary64_72`
33×	`cube-prod_binary64_106`
32×	`associate-+l+_binary64_11`
28×	`distribute-rgt-out--_binary64_32`
27×	`distribute-lft-out_binary64_29`
26×	`exp-sum_binary64_124`
25×	`associate-+r+_binary64_10`
24×	`*-lft-identity_binary64_67` `unswap-sqr_binary64_46`
21×	`log-prod_binary64_164`
19×	`associate--l-_binary64_16`
17×	`exp-diff_binary64_126` `*-rgt-identity_binary64_68`
15×	`times-frac_binary64_84`
13×	`unpow3_binary64_144`
12×	`swap-sqr_binary64_45`
11×	`mul-1-neg_binary64_70` `distribute-lft-out--_binary64_30`
7×	`cube-unmult_binary64_115`
6×	`sqr-neg_binary64_92`
5×	`cube-mult_binary64_108` `div-sub_binary64_83` `distribute-neg-out_binary64_40` `associate-+r-_binary64_12`
4×	`unpow1/2_binary64_142` `pow-plus_binary64_141` `+-rgt-identity_binary64_63` `difference-of-squares_binary64_47` `distribute-rgt1-in_binary64_34` `associate--r-_binary64_17`
3×	`cube-neg_binary64_105`
2×	`unpow2_binary64_143` `unpow1_binary64_136` `div-exp_binary64_129` `exp-neg_binary64_125` `rem-sqrt-square_binary64_91` `pow-sqr_binary64_51` `associate-/l*_binary64_23`
1×	`1-sub-cos_binary64_173` `prod-exp_binary64_127` `1-exp_binary64_122` `exp-1-e_binary64_121` `remove-double-neg_binary64_66` `difference-of-sqr--1_binary64_49` `difference-of-sqr-1_binary64_48` `distribute-lft1-in_binary64_33` `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` `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` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `rec-exp_binary64_128` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-log-exp_binary64_119` `rem-exp-log_binary64_118` `cube-div_binary64_107` `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_69` `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` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `count-2_binary64_26` `associate-/l/_binary64_25` `associate-/r/_binary64_24` `associate-l/_binary64_21` `associate-*r/_binary64_20`

Counts

106 → 83

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	206	1976
1	559	1901
2	1725	1827
3	4691	1827
4	5024	1827

prune93.0ms (1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	85	13	98

Error

0.0b

Counts

98 → 13

Compiler

Compiled 1638 to 682 computations (58.4% saved)

regimes744.0ms (8.2%)

Accuracy

Total 0.6b remaining (92.9%)

Threshold costs 0.6b (92.9%)

Compiler

Compiled 7578 to 4969 computations (34.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`sub-neg_binary64_71` `*-commutative_binary64_9` `+-commutative_binary64_8`
4×	`neg-mul-1_binary64_74` `neg-sub0_binary64_73`
2×	`cancel-sign-sub-inv_binary64_44` `distribute-rgt-neg-in_binary64_36`
1×	`distribute-lft-neg-out_binary64_37` `distribute-lft-neg-in_binary64_35`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `unpow1_binary64_136` `e-exp-1_binary64_123` `1-exp_binary64_122` `exp-1-e_binary64_121` `exp-0_binary64_120` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `unsub-neg_binary64_72` `mul-1-neg_binary64_70` `/-rgt-identity_binary64_69` `-rgt-identity_binary64_68` `-lft-identity_binary64_67` `remove-double-neg_binary64_66` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-rgt-identity_binary64_63` `+-lft-identity_binary64_62` `cancel-sign-sub_binary64_43` `distribute-neg-frac_binary64_42` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	23	31
2	35	31
3	43	31
4	48	31
5	49	31
6	49	31

end0.0ms (0%)

sample4.8s (52.8%)

Algorithm

1×

intervals

Results

1.0s	1954×	body	2048	valid
1.0s	3959×	body	1024	valid
234.0ms	1331×	body	512	valid
60.0ms	513×	body	256	valid
15.0ms	241×	body	128	valid
2.0ms	2×	body	4096	valid

Compiler

Compiled 2529 to 1660 computations (34.4% saved)

Iter	Nodes	Cost
0	11	22
1	14	22
2	22	22
3	33	22
4	42	22
5	66	22
6	99	22
7	116	22
8	139	22
9	143	22
10	131	22
11	117	22
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11

Iter	Nodes	Cost
0	11	22
1	14	22
2	22	22
3	33	22
4	42	22
5	66	22
6	99	22
7	116	22
8	139	22
9	143	22
10	131	22
11	117	22
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11

Details

analyze152.0ms (1.7%)

sample84.0ms (0.9%)

simplify12.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite47.0ms (0.5%)

series204.0ms (2.2%)

simplify79.0ms (0.9%)

prune53.0ms (0.6%)

localize11.0ms (0.1%)

rewrite94.0ms (1%)

series420.0ms (4.6%)

simplify130.0ms (1.4%)

prune90.0ms (1%)

localize11.0ms (0.1%)

rewrite118.0ms (1.3%)

series809.0ms (8.9%)

simplify134.0ms (1.5%)

prune116.0ms (1.3%)

localize12.0ms (0.1%)

rewrite114.0ms (1.3%)

series650.0ms (7.1%)

simplify101.0ms (1.1%)

prune93.0ms (1%)

regimes744.0ms (8.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.8s (52.8%)

Profiling

Iter	Nodes	Cost
0	11	22
1	14	22
2	22	22
3	33	22
4	42	22
5	66	22
6	99	22
7	116	22
8	139	22
9	143	22
10	131	22
11	117	22
0	2	2
1	2	2

Iter	Nodes	Cost
0	7	11
1	10	11
2	15	11
3	21	11
4	27	11
5	42	11
6	65	11
7	78	11
8	90	11
9	92	11
10	86	11
11	72	11