Details

analyze468.0ms (2.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample46.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	38×	body	2048	valid
8.0ms	166×	body	128	valid
5.0ms	24×	body	1024	valid
4.0ms	15×	body	4096	valid
1.0ms	24×	body	128	nan
1.0ms	6×	body	512	valid
1.0ms	14×	body	128	invalid
1.0ms	7×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify566.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

813×	`exp-prod_binary64_130`
737×	`div-sub_binary64_83`
227×	`*-commutative_binary64_9`
194×	`sub-neg_binary64_71`
181×	`neg-mul-1_binary64_74`
173×	`distribute-rgt-in_binary64_28`
170×	`distribute-rgt-neg-in_binary64_36`
158×	`neg-sub0_binary64_73`
132×	`distribute-lft-neg-in_binary64_35`
128×	`associate-/l/_binary64_25`
122×	`associate-r_binary64_18`
120×	`distribute-rgt1-in_binary64_34`
119×	`associate-/l*_binary64_23`
99×	`exp-sum_binary64_124`
95×	`cancel-sign-sub-inv_binary64_44`
89×	`unsub-neg_binary64_72` `sqr-pow_binary64_50`
81×	`pow-plus_binary64_141`
79×	`pow-sqr_binary64_51`
72×	`times-frac_binary64_84`
69×	`distribute-rgt-out_binary64_31`
54×	`distribute-lft-in_binary64_27`
50×	`distribute-rgt-out--_binary64_32` `+-commutative_binary64_8`
48×	`exp-diff_binary64_126`
47×	`distribute-neg-frac_binary64_42`
41×	`associate-l_binary64_19`
38×	`associate--r+_binary64_14`
35×	`associate-+l+_binary64_11`
33×	`associate-+l-_binary64_13`
32×	`associate-/r*_binary64_22`
28×	`sub0-neg_binary64_65`
26×	`associate-+r+_binary64_10`
25×	`associate--l+_binary64_15`
21×	`distribute-lft-neg-out_binary64_37`
20×	`associate-/r/_binary64_24`
18×	`exp-lft-sqr_binary64_133`
17×	`remove-double-neg_binary64_66`
15×	`swap-sqr_binary64_45`
13×	`*-rgt-identity_binary64_68` `distribute-neg-in_binary64_39` `distribute-rgt-neg-out_binary64_38` `associate--l-_binary64_16` `associate-+r-_binary64_12`
11×	`+-lft-identity_binary64_62` `mul0-lft_binary64_60` `distribute-frac-neg_binary64_41` `distribute-neg-out_binary64_40`
10×	`exp-sqrt_binary64_131` `--rgt-identity_binary64_64` `associate-*r/_binary64_20`
9×	`div0_binary64_59`
8×	`cube-prod_binary64_106` `mul0-rgt_binary64_61` `count-2_binary64_26` `associate-*l/_binary64_21`
7×	`cube-unmult_binary64_115` `+-inverses_binary64_57` `associate--r-_binary64_17`
6×	`*-lft-identity_binary64_67` `distribute-lft1-in_binary64_33`
5×	`+-rgt-identity_binary64_63` `remove-double-div_binary64_54` `distribute-lft-out--_binary64_30` `distribute-lft-out_binary64_29`
4×	`exp-neg_binary64_125` `cube-div_binary64_107` `unswap-sqr_binary64_46`
3×	`sqr-neg_binary64_92` `/-rgt-identity_binary64_69`
2×	`*-inverses_binary64_58`
1×	`1-exp_binary64_122` `exp-1-e_binary64_121` `cube-neg_binary64_105` `rem-sqrt-square_binary64_91` `difference-of-sqr-1_binary64_48`
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` `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-cbrt_binary64_132` `div-exp_binary64_129` `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` `cube-mult_binary64_108` `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` `mul-1-neg_binary64_70` `lft-mult-inverse_binary64_56` `rgt-mult-inverse_binary64_55` `difference-of-sqr--1_binary64_49` `difference-of-squares_binary64_47` `cancel-sign-sub_binary64_43`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	32	24
2	64	24
3	130	24
4	183	24
5	354	24
6	1317	24
7	2376	24

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

34.1b

Counts

3 → 1

Compiler

Compiled 49 to 35 computations (28.6% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
0.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
22.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite166.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

33.9b

Rules

21×	`add-sqr-sqrt_binary64_100`
14×	`*-un-lft-identity_binary64_78`
9×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113`
6×	`sqrt-prod_binary64_94` `difference-of-squares_binary64_47` `times-frac_binary64_84` `associate-/l*_binary64_23`
5×	`pow1_binary64_139`
4×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`
3×	`distribute-lft-out--_binary64_30`
2×	`sqrt-div_binary64_95` `diff-log_binary64_170` `sub-neg_binary64_71` `div-exp_binary64_129` `cbrt-undiv_binary64_112` `associate-/l/_binary64_25`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `frac-2neg_binary64_89` `div-sub_binary64_83` `clear-num_binary64_77` `div-inv_binary64_75` `associate-/r*_binary64_22`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2100 to 1088 computations (48.2% saved)

series1.1s (5.8%)

Error

6.4b

Counts

4 → 68

Calls

4 calls:

312.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
244.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
231.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
200.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3015 to 2294 computations (23.9% saved)

simplify259.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

610×	`times-frac_binary64_84`
454×	`associate-/l*_binary64_23`
348×	`associate-/r*_binary64_22`
206×	`distribute-rgt-in_binary64_28`
198×	`distribute-lft-in_binary64_27`
158×	`associate-*l/_binary64_21`
151×	`cancel-sign-sub-inv_binary64_44`
139×	`distribute-rgt-neg-in_binary64_36`
115×	`distribute-lft-neg-in_binary64_35`
102×	`associate-l_binary64_19`
101×	`sub-neg_binary64_71` `associate-r_binary64_18`
95×	`associate-/l/_binary64_25`
81×	`associate-/r/_binary64_24` `*-commutative_binary64_9`
67×	`distribute-lft-neg-out_binary64_37`
59×	`neg-sub0_binary64_73`
57×	`div-sub_binary64_83`
53×	`neg-mul-1_binary64_74`
49×	`sqr-pow_binary64_50`
44×	`unswap-sqr_binary64_46` `+-commutative_binary64_8`
42×	`exp-prod_binary64_130`
39×	`distribute-neg-frac_binary64_42`
37×	`distribute-rgt-out_binary64_31`
36×	`distribute-rgt-neg-out_binary64_38`
24×	`pow-sqr_binary64_51`
23×	`associate-*r/_binary64_20`
18×	`cube-prod_binary64_106`
14×	`pow-plus_binary64_141` `swap-sqr_binary64_45` `distribute-lft-out_binary64_29`
13×	`distribute-neg-in_binary64_39`
11×	`associate--l+_binary64_15` `associate-+r-_binary64_12`
10×	`+-rgt-identity_binary64_63`
9×	`unpow3_binary64_144` `difference-of-squares_binary64_47`
8×	`exp-sum_binary64_124` `cube-unmult_binary64_115` `cube-mult_binary64_108` `unsub-neg_binary64_72`
7×	`associate--r+_binary64_14` `associate-+l+_binary64_11`
6×	`exp-diff_binary64_126` `mul-1-neg_binary64_70`
5×	`distribute-lft-out--_binary64_30` `associate-+r+_binary64_10`
4×	`log-div_binary64_165`
3×	`unpow2_binary64_143` `unpow1_binary64_136` `exp-sqrt_binary64_131` `rem-sqrt-square_binary64_91` `distribute-frac-neg_binary64_41` `distribute-rgt-out--_binary64_32` `associate-+l-_binary64_13`
2×	`log-prod_binary64_164` `div-exp_binary64_129` `cube-div_binary64_107` `rem-square-sqrt_binary64_90` `-rgt-identity_binary64_68` `-inverses_binary64_58`
1×	`1-exp_binary64_122` `rem-3cbrt-lft_binary64_103` `*-lft-identity_binary64_67` `remove-double-neg_binary64_66` `div0_binary64_59` `cancel-sign-sub_binary64_43` `distribute-neg-out_binary64_40` `count-2_binary64_26` `associate--r-_binary64_17` `associate--l-_binary64_16`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_341` `erf-erfc_binary64_340` `erf-odd_binary64_339` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `not-gte_binary64_330` `not-lte_binary64_329` `not-gt_binary64_328` `not-lt_binary64_327` `gte-same_binary64_326` `lte-same_binary64_325` `gt-same_binary64_324` `lt-same_binary64_323` `sinh---cosh_binary64_270` `sinh-+-cosh_binary64_269` `sinh-cosh_binary64_268` `tanh-def-c_binary64_267` `tanh-def-b_binary64_266` `tanh-def-a_binary64_265` `cosh-def_binary64_264` `sinh-def_binary64_263` `tan-neg_binary64_210` `cos-neg_binary64_209` `sin-neg_binary64_208` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `hang-m-tan_binary64_204` `hang-p-tan_binary64_203` `hang-m0-tan_binary64_202` `hang-p0-tan_binary64_201` `hang-0m-tan_binary64_200` `hang-0p-tan_binary64_199` `tan-+PI/2_binary64_198` `tan-+PI_binary64_197` `tan-PI_binary64_196` `tan-PI/3_binary64_195` `tan-PI/4_binary64_194` `tan-PI/6_binary64_193` `cos-+PI/2_binary64_192` `cos-+PI_binary64_191` `cos-PI_binary64_190` `cos-PI/2_binary64_189` `cos-PI/3_binary64_188` `cos-PI/4_binary64_187` `cos-PI/6_binary64_186` `sin-+PI/2_binary64_185` `sin-+PI_binary64_184` `sin-PI_binary64_183` `sin-PI/2_binary64_182` `sin-PI/3_binary64_181` `sin-PI/4_binary64_180` `sin-PI/6_binary64_179` `sub-1-sin_binary64_178` `sub-1-cos_binary64_177` `-1-add-sin_binary64_176` `-1-add-cos_binary64_175` `1-sub-sin_binary64_174` `1-sub-cos_binary64_173` `cos-sin-sum_binary64_172` `log-E_binary64_168` `log-pow_binary64_167` `log-rec_binary64_166` `pow-base-0_binary64_162` `unpow1/3_binary64_145` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `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-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` `/-rgt-identity_binary64_69` `sub0-neg_binary64_65` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `+-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` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33`

Counts

142 → 206

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	3036
1	513	2818
2	1622	2812

prune278.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	197	9	206
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	198	9	207

Error

6.3b

Counts

207 → 9

Compiler

Compiled 4707 to 2444 computations (48.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 (/.f64 1 a) 2))
0.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
22.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite265.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

71×	`times-frac_binary64_84`
63×	`add-sqr-sqrt_binary64_100`
47×	`*-un-lft-identity_binary64_78`
43×	`associate-r_binary64_18`
42×	`add-cube-cbrt_binary64_113`
19×	`add-exp-log_binary64_116`
13×	`add-cbrt-cube_binary64_114`
8×	`add-log-exp_binary64_117`
7×	`pow1_binary64_139`
6×	`div-exp_binary64_129` `associate-l_binary64_19`
5×	`flip3--_binary64_82` `flip--_binary64_53` `sqrt-prod_binary64_94` `prod-exp_binary64_127`
4×	`difference-of-squares_binary64_47` `cancel-sign-sub-inv_binary64_44` `unswap-sqr_binary64_46` `div-inv_binary64_75`
3×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112`
2×	`sqrt-div_binary64_95` `diff-log_binary64_170` `sub-neg_binary64_71` `distribute-lft-out--_binary64_30` `frac-times_binary64_88` `associate-*l/_binary64_21`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `pow-prod-down_binary64_149` `1-exp_binary64_122` `rec-exp_binary64_128` `associate-r/_binary64_20` `-commutative_binary64_9`

Counts

4 → 119

Calls

4 calls:

26.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 (/.f64 1 a) 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3699 to 2186 computations (40.9% saved)

series1.1s (5.9%)

Error

6.3b

Counts

4 → 68

Calls

4 calls:

325.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 (/.f64 1 a) 2))
244.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
227.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
221.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3277 to 2556 computations (22% saved)

simplify592.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

416×	`distribute-rgt-in_binary64_28`
411×	`distribute-lft-in_binary64_27`
179×	`associate-l_binary64_19`
172×	`associate-/l*_binary64_23`
155×	`associate-r_binary64_18`
148×	`div-sub_binary64_83`
142×	`cancel-sign-sub-inv_binary64_44` `*-commutative_binary64_9`
137×	`associate-*r/_binary64_20`
130×	`distribute-rgt-neg-in_binary64_36`
127×	`associate-*l/_binary64_21`
116×	`associate-/l/_binary64_25`
108×	`distribute-lft-neg-in_binary64_35`
102×	`sub-neg_binary64_71`
94×	`times-frac_binary64_84` `distribute-lft-neg-out_binary64_37`
70×	`associate-/r*_binary64_22`
63×	`distribute-rgt-neg-out_binary64_38`
61×	`unswap-sqr_binary64_46`
56×	`exp-prod_binary64_130` `sqr-pow_binary64_50`
51×	`neg-sub0_binary64_73`
48×	`+-commutative_binary64_8`
47×	`neg-mul-1_binary64_74`
46×	`*-rgt-identity_binary64_68`
38×	`*-lft-identity_binary64_67`
37×	`distribute-neg-frac_binary64_42`
33×	`distribute-rgt-out_binary64_31` `associate-/r/_binary64_24`
28×	`/-rgt-identity_binary64_69`
26×	`pow-sqr_binary64_51`
24×	`cube-prod_binary64_106`
23×	`log-div_binary64_165`
20×	`unsub-neg_binary64_72`
17×	`swap-sqr_binary64_45`
15×	`pow-plus_binary64_141` `cube-div_binary64_107`
13×	`log-prod_binary64_164` `associate-+r-_binary64_12`
12×	`exp-sum_binary64_124` `distribute-neg-out_binary64_40`
11×	`associate--l+_binary64_15`
10×	`cube-unmult_binary64_115` `+-rgt-identity_binary64_63` `distribute-lft-out_binary64_29`
9×	`log-rec_binary64_166` `unpow3_binary64_144` `difference-of-squares_binary64_47`
8×	`cube-mult_binary64_108` `distribute-neg-in_binary64_39` `associate-+l+_binary64_11`
6×	`exp-diff_binary64_126` `mul-1-neg_binary64_70` `associate-+l-_binary64_13`
5×	`distribute-lft-out--_binary64_30` `associate-+r+_binary64_10`
4×	`rem-sqrt-square_binary64_91` `associate--r+_binary64_14`
3×	`unpow2_binary64_143` `unpow1_binary64_136` `exp-sqrt_binary64_131` `div-exp_binary64_129` `sub0-neg_binary64_65` `distribute-frac-neg_binary64_41` `distribute-rgt-out--_binary64_32` `associate--l-_binary64_16`
2×	`rem-square-sqrt_binary64_90` `*-inverses_binary64_58` `remove-double-div_binary64_54` `cancel-sign-sub_binary64_43`
1×	`log-pow_binary64_167` `rec-exp_binary64_128` `prod-exp_binary64_127` `1-exp_binary64_122` `exp-1-e_binary64_121` `rem-log-exp_binary64_119` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `div0_binary64_59`
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` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-0_binary64_120` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `remove-double-neg_binary64_66` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `+-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-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33` `count-2_binary64_26` `associate--r-_binary64_17`

Counts

187 → 481

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	301	4708
1	771	4429
2	2847	4205

prune1.1s (6.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	479	2	481
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	482	8	490

Error

6.3b

Counts

490 → 8

Compiler

Compiled 14227 to 8331 computations (41.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b) (sqrt.f64 2))
0.5b	(/.f64 (/.f64 1 a) (sqrt.f64 2))
1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
22.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

rewrite569.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Rules

177×	`times-frac_binary64_84`
137×	`add-sqr-sqrt_binary64_100`
120×	`*-un-lft-identity_binary64_78`
104×	`add-cube-cbrt_binary64_113`
74×	`sqrt-prod_binary64_94`
19×	`associate-/l*_binary64_23`
16×	`difference-of-squares_binary64_47`
15×	`add-exp-log_binary64_116`
12×	`associate-/r*_binary64_22`
11×	`add-cbrt-cube_binary64_114`
9×	`div-inv_binary64_75`
8×	`distribute-lft-out--_binary64_30`
7×	`div-exp_binary64_129`
6×	`add-log-exp_binary64_117`
5×	`pow1_binary64_139`
4×	`cbrt-undiv_binary64_112`
3×	`flip3--_binary64_82` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `associate-/l/_binary64_25`
2×	`sqrt-div_binary64_95` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `diff-log_binary64_170` `sub-neg_binary64_71` `1-exp_binary64_122` `rec-exp_binary64_128` `div-sub_binary64_83`

Counts

4 → 209

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b) (sqrt.f64 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
8.0ms	(/.f64 (/.f64 1 a) (sqrt.f64 2))
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))

Compiler

Compiled 7216 to 5077 computations (29.6% saved)

series938.0ms (5.1%)

Error

6.3b

Counts

4 → 53

Calls

4 calls:

329.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b) (sqrt.f64 2))
246.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a)))) b)
226.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 c (*.f64 4 a))))
66.0ms	(/.f64 (/.f64 1 a) (sqrt.f64 2))

Compiler

Compiled 3597 to 2948 computations (18% saved)

simplify643.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

650×	`associate-/r/_binary64_24`
485×	`associate-*l/_binary64_21`
250×	`associate-/l/_binary64_25`
207×	`cancel-sign-sub-inv_binary64_44`
178×	`distribute-rgt-neg-in_binary64_36`
158×	`distribute-lft-neg-in_binary64_35`
151×	`associate-/l*_binary64_23`
140×	`associate-/r*_binary64_22`
123×	`times-frac_binary64_84`
122×	`distribute-rgt-in_binary64_28`
117×	`distribute-lft-in_binary64_27`
103×	`sub-neg_binary64_71`
96×	`associate-r_binary64_18` `*-commutative_binary64_9`
92×	`associate-l_binary64_19`
80×	`distribute-neg-frac_binary64_42`
66×	`div-sub_binary64_83`
62×	`neg-mul-1_binary64_74`
60×	`neg-sub0_binary64_73`
57×	`unswap-sqr_binary64_46`
54×	`distribute-lft-neg-out_binary64_37`
53×	`associate-+l-_binary64_13`
49×	`distribute-rgt-out_binary64_31`
47×	`/-rgt-identity_binary64_69` `associate-*r/_binary64_20`
44×	`sqr-pow_binary64_50` `+-commutative_binary64_8`
39×	`*-rgt-identity_binary64_68`
34×	`associate--l-_binary64_16`
28×	`cube-prod_binary64_106`
24×	`distribute-lft-out_binary64_29`
23×	`distribute-rgt-neg-out_binary64_38`
21×	`pow-sqr_binary64_51`
20×	`exp-prod_binary64_130` `associate--l+_binary64_15`
19×	`swap-sqr_binary64_45`
18×	`log-div_binary64_165`
15×	`pow-plus_binary64_141` `unsub-neg_binary64_72`
12×	`distribute-neg-out_binary64_40` `distribute-rgt-out--_binary64_32`
11×	`log-prod_binary64_164` `distribute-neg-in_binary64_39` `associate-+r-_binary64_12`
10×	`unpow3_binary64_144` `+-rgt-identity_binary64_63` `distribute-lft-out--_binary64_30` `associate--r+_binary64_14`
9×	`cube-unmult_binary64_115` `cube-mult_binary64_108` `cube-div_binary64_107` `*-lft-identity_binary64_67` `difference-of-squares_binary64_47`
8×	`associate-+l+_binary64_11`
7×	`rem-sqrt-square_binary64_91`
5×	`associate-+r+_binary64_10`
4×	`log-rec_binary64_166` `exp-diff_binary64_126` `exp-sum_binary64_124` `associate--r-_binary64_17`
3×	`unpow2_binary64_143` `unpow1_binary64_136` `rem-square-sqrt_binary64_90` `*-inverses_binary64_58`
2×	`div-exp_binary64_129` `sub0-neg_binary64_65`
1×	`log-pow_binary64_167` `rec-exp_binary64_128` `prod-exp_binary64_127` `1-exp_binary64_122` `rem-log-exp_binary64_119` `rem-3cbrt-lft_binary64_103` `rem-cbrt-cube_binary64_102` `remove-double-neg_binary64_66` `div0_binary64_59` `cancel-sign-sub_binary64_43` `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` `unpow1/2_binary64_142` `exp-to-pow_binary64_140` `pow-base-1_binary64_138` `unpow0_binary64_137` `unpow-1_binary64_135` `exp-lft-cube_binary64_134` `exp-lft-sqr_binary64_133` `exp-cbrt_binary64_132` `exp-sqrt_binary64_131` `exp-neg_binary64_125` `e-exp-1_binary64_123` `exp-1-e_binary64_121` `exp-0_binary64_120` `rem-exp-log_binary64_118` `cube-neg_binary64_105` `rem-3cbrt-rft_binary64_104` `rem-cube-cbrt_binary64_101` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `mul-1-neg_binary64_70` `--rgt-identity_binary64_64` `+-lft-identity_binary64_62` `mul0-rgt_binary64_61` `mul0-lft_binary64_60` `+-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` `distribute-frac-neg_binary64_41` `distribute-rgt1-in_binary64_34` `distribute-lft1-in_binary64_33`

Counts

262 → 1188

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	364	7248
1	862	7029
2	2536	6439

prune5.3s (28.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	1186	2	1188
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	1187	9	1196

Error

6.3b

Counts

1196 → 9

Compiler

Compiled 43305 to 29854 computations (31.1% saved)

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

6.3b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 6.3b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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 1-exp_binary64_122 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 neg-mul-1_binary64_74 neg-sub0_binary64_73 unsub-neg_binary64_72 sub-neg_binary64_71 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 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-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 distribute-rgt1-in_binary64_34 distribute-lft1-in_binary64_33 distribute-rgt-out--_binary64_32 distribute-rgt-out_binary64_31 distribute-lft-out--_binary64_30 distribute-lft-out_binary64_29 distribute-rgt-in_binary64_28 distribute-lft-in_binary64_27 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--r-_binary64_17 associate--l-_binary64_16 associate--l+_binary64_15 associate--r+_binary64_14 associate-+l-_binary64_13 associate-+r-_binary64_12 associate-+l+_binary64_11 associate-+r+_binary64_10 *-commutative_binary64_9 +-commutative_binary64_8

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	2	2
Total	9	9

Error

6.3b

Counts

9 → 9

Compiler

Compiled 0 to 0 computations (0% saved)

regimes1.8s (9.7%)

Accuracy

Total 4.4b remaining (45.1%)

Threshold costs 0b (0%)

Compiler

Compiled 9000 to 6826 computations (24.2% saved)

bsearch80.0ms (0.4%)

Steps

Iters	Range		Point
7	6.236573126095383e-99	1.4912671704871023e-96	5.069966420643414e-97
9	-1.2205848484568382e+96	-4.500510373359614e+90	-2.4500501173801923e+95

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64_9` `+-commutative_binary64_8`
10×	`sub-neg_binary64_71`
8×	`neg-sub0_binary64_73`
7×	`neg-mul-1_binary64_74`
4×	`distribute-rgt-neg-in_binary64_36`
3×	`distribute-lft-neg-in_binary64_35`
2×	`cancel-sign-sub-inv_binary64_44` `distribute-neg-frac_binary64_42`
1×	`unsub-neg_binary64_72` `mul-1-neg_binary64_70` `distribute-lft-neg-out_binary64_37`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_338` `if-if-and_binary64_337` `if-if-or-not_binary64_336` `if-if-or_binary64_335` `if-not_binary64_334` `if-same_binary64_333` `if-false_binary64_332` `if-true_binary64_331` `tan-0_binary64_207` `cos-0_binary64_206` `sin-0_binary64_205` `unpow1_binary64_136` `e-exp-1_binary64_123` `1-exp_binary64_122` `exp-1-e_binary64_121` `exp-0_binary64_120` `sqr-abs_binary64_93` `sqr-neg_binary64_92` `/-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: 1 (0.0ms)

Iter	Nodes	Cost
0	27	54
1	43	52
2	66	52
3	80	52
4	90	52
5	93	52

Proof

(if real (<= f64 h0 -245005011738019233397028577631624591020984539095068514612318380061497347745157708480335721791488) (- f64 (/ f64 h1 h0) (/ f64 h0 h2)) (if real (<= f64 h0 4877120320354095/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/ f64 (+ f64 (neg f64 h0) (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 4 h2) h1)))) (* f64 2 h2)) (=> (* f64 -1 (/ f64 h1 h0)))))
mul-1-neg_binary64_70 =>
(if real (<= f64 h0 -245005011738019233397028577631624591020984539095068514612318380061497347745157708480335721791488) (- f64 (/ f64 h1 h0) (/ f64 h0 h2)) (if real (<= f64 h0 4877120320354095/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/ f64 (+ f64 (neg f64 h0) (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 4 h2) h1)))) (=> (* f64 2 h2))) (neg f64 (/ f64 h1 h0))))
*-commutative_binary64_9 =>
(if real (<= f64 h0 -245005011738019233397028577631624591020984539095068514612318380061497347745157708480335721791488) (- f64 (/ f64 h1 h0) (/ f64 h0 h2)) (if real (<= f64 h0 4877120320354095/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/ f64 (=> (+ f64 (neg f64 h0) (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 4 h2) h1))))) (* f64 h2 2)) (neg f64 (/ f64 h1 h0))))
+-commutative_binary64_8 =>
(if real (<= f64 h0 -245005011738019233397028577631624591020984539095068514612318380061497347745157708480335721791488) (- f64 (/ f64 h1 h0) (/ f64 h0 h2)) (if real (<= f64 h0 4877120320354095/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/ f64 (=> (+ f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 (* f64 4 h2) h1))) (neg f64 h0))) (* f64 h2 2)) (neg f64 (/ f64 h1 h0))))
unsub-neg_binary64_72 =>
(if real (<= f64 h0 -245005011738019233397028577631624591020984539095068514612318380061497347745157708480335721791488) (- f64 (/ f64 h1 h0) (/ f64 h0 h2)) (if real (<= f64 h0 4877120320354095/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/ f64 (- f64 (sqrt f64 (- f64 (* f64 h0 h0) (=> (* f64 (* f64 4 h2) h1)))) h0) (* f64 h2 2)) (neg f64 (/ f64 h1 h0))))
*-commutative_binary64_9 =>
(if real (<= f64 h0 -245005011738019233397028577631624591020984539095068514612318380061497347745157708480335721791488) (- f64 (/ f64 h1 h0) (/ f64 h0 h2)) (if real (<= f64 h0 4877120320354095/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/ f64 (- f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 h1 (=> (* f64 4 h2))))) h0) (* f64 h2 2)) (neg f64 (/ f64 h1 h0))))
*-commutative_binary64_9 =>
(if real (<= f64 h0 -245005011738019233397028577631624591020984539095068514612318380061497347745157708480335721791488) (- f64 (/ f64 h1 h0) (/ f64 h0 h2)) (if real (<= f64 h0 4877120320354095/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/ f64 (- f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 h1 (* f64 h2 4)))) h0) (* f64 h2 2)) (=> (neg f64 (/ f64 h1 h0)))))
distribute-neg-frac_binary64_42 =>
(if real (<= f64 h0 -245005011738019233397028577631624591020984539095068514612318380061497347745157708480335721791488) (- f64 (/ f64 h1 h0) (/ f64 h0 h2)) (if real (<= f64 h0 4877120320354095/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696) (/ f64 (- f64 (sqrt f64 (- f64 (* f64 h0 h0) (* f64 h1 (* f64 h2 4)))) h0) (* f64 h2 2)) (/ f64 (neg f64 h1) h0)))

end0.0ms (0%)

sample3.1s (17%)

Algorithm

1×

intervals

Results

295.0ms	1150×	body	2048	valid
282.0ms	5191×	body	128	valid
139.0ms	722×	body	1024	valid
124.0ms	409×	body	4096	valid
53.0ms	349×	body	512	valid
33.0ms	664×	body	128	nan
22.0ms	436×	body	128	invalid
20.0ms	179×	body	256	valid

Compiler

Compiled 2293 to 1737 computations (24.2% saved)

Details

analyze468.0ms (2.6%)

sample46.0ms (0.2%)

simplify566.0ms (3.1%)

prune5.0ms (0%)

localize15.0ms (0.1%)

rewrite166.0ms (0.9%)

series1.1s (5.8%)

simplify259.0ms (1.4%)

prune278.0ms (1.5%)

localize12.0ms (0.1%)

rewrite265.0ms (1.4%)

series1.1s (5.9%)

simplify592.0ms (3.2%)

prune1.1s (6.1%)

localize14.0ms (0.1%)

rewrite569.0ms (3.1%)

series938.0ms (5.1%)

simplify643.0ms (3.5%)

prune5.3s (28.7%)

localize3.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0%)

prune1.0ms (0%)

regimes1.8s (9.7%)

bsearch80.0ms (0.4%)

simplify8.0ms (0%)

end0.0ms (0%)

sample3.1s (17%)

Profiling