Details

analyze613.0ms (8.7%)

Algorithm

1×	search
2×	egg-herbie

Rules

715×	`div-sub_binary64`
690×	`sub-neg_binary64`
581×	`neg-mul-1_binary64`
491×	`neg-sub0_binary64`
476×	`associate-/r*_binary64`
402×	`distribute-neg-frac_binary64`
321×	`distribute-rgt-neg-in_binary64`
280×	`distribute-rgt-neg-out_binary64`
252×	`distribute-lft-neg-out_binary64`
251×	`distribute-lft-neg-in_binary64`
232×	`+-commutative_binary64`
226×	`associate-/r/_binary64`
220×	`associate-/l*_binary64`
217×	`associate-*l/_binary64`
201×	`associate-+l-_binary64`
198×	`remove-double-neg_binary64`
195×	`distribute-rgt-in_binary64`
184×	`cancel-sign-sub-inv_binary64`
144×	`times-frac_binary64`
141×	`unsub-neg_binary64`
131×	`associate-/l/_binary64`
119×	`associate-*r/_binary64`
117×	`associate--r+_binary64`
106×	`distribute-lft-in_binary64`
93×	`distribute-frac-neg_binary64`
88×	`sub0-neg_binary64`
76×	`cancel-sign-sub_binary64`
72×	`*-lft-identity_binary64`
71×	`associate--l-_binary64`
68×	`distribute-neg-in_binary64`
63×	`*-commutative_binary64`
61×	`+-lft-identity_binary64`
57×	`associate--r-_binary64`
54×	`/-rgt-identity_binary64`
53×	`+-rgt-identity_binary64`
45×	`associate-r_binary64`
41×	`associate-+r-_binary64`
40×	`associate-+l+_binary64`
36×	`div0_binary64`
26×	`associate-l_binary64`
24×	`--rgt-identity_binary64`
18×	`mul0-rgt_binary64` `mul0-lft_binary64` `associate--l+_binary64`
17×	`associate-+r+_binary64`
6×	`*-rgt-identity_binary64`
3×	`sqr-neg_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	104
1	95	96
2	171	96
3	323	96
4	480	96
5	786	96
6	1384	96
7	2448	96
8	3546	96
9	4339	96
10	4614	96
11	4871	96
12	4961	96
13	5132	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
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)

sample41.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	31×	body	2048	valid
9.0ms	180×	body	128	valid
4.0ms	20×	body	1024	valid
4.0ms	11×	body	4096	valid
1.0ms	8×	body	512	valid
1.0ms	16×	body	128	nan
1.0ms	12×	body	128	invalid
1.0ms	6×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify344.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

1261×	`associate-/l*_binary64`
1150×	`div-sub_binary64`
772×	`distribute-rgt-in_binary64`
702×	`distribute-lft-in_binary64`
619×	`times-frac_binary64`
576×	`associate-/r*_binary64`
479×	`associate-/r/_binary64`
467×	`cancel-sign-sub-inv_binary64`
429×	`*-commutative_binary64`
426×	`sub-neg_binary64`
423×	`unsub-neg_binary64`
407×	`associate-/l/_binary64`
225×	`distribute-rgt-neg-in_binary64`
208×	`distribute-rgt-out--_binary64`
201×	`neg-mul-1_binary64`
197×	`distribute-lft-neg-in_binary64`
192×	`distribute-neg-frac_binary64`
188×	`associate-*l/_binary64`
163×	`neg-sub0_binary64`
156×	`distribute-rgt-out_binary64`
136×	`distribute-rgt-neg-out_binary64`
121×	`associate--r+_binary64`
112×	`+-commutative_binary64`
99×	`distribute-lft-neg-out_binary64`
80×	`distribute-lft-out_binary64`
77×	`associate--r-_binary64`
73×	`distribute-frac-neg_binary64`
72×	`distribute-lft-out--_binary64`
68×	`*-lft-identity_binary64` `distribute-neg-out_binary64`
66×	`associate-*r/_binary64`
62×	`mul0-rgt_binary64`
60×	`associate-r_binary64`
59×	`associate--l-_binary64`
55×	`div0_binary64`
54×	`mul0-lft_binary64`
51×	`associate-l_binary64`
33×	`remove-double-neg_binary64`
32×	`associate-+r-_binary64`
30×	`+-lft-identity_binary64`
28×	`/-rgt-identity_binary64` `associate--l+_binary64`
27×	`remove-double-div_binary64`
22×	`distribute-neg-in_binary64`
19×	`sub0-neg_binary64` `--rgt-identity_binary64`
17×	`*-rgt-identity_binary64`
14×	`mul-1-neg_binary64` `associate-+l+_binary64`
13×	`associate-+l-_binary64`
7×	`associate-+r+_binary64`
5×	`+-rgt-identity_binary64`
3×	`swap-sqr_binary64`
1×	`1-exp_binary64` `sqr-neg_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	32	24
2	65	24
3	128	24
4	178	24
5	287	24
6	460	24
7	754	24
8	1120	24
9	1142	24
10	1799	24
11	2162	24
12	1953	24
13	2041	24
14	2105	24
15	2131	24
16	2843	24
17	2603	24
18	2841	24
19	2951	24
20	3071	24
21	3113	24
22	3183	24
23	3171	24
24	3171	24
25	2191	24
26	2141	24
27	2105	24
28	2107	24
29	2107	24
30	2107	24
31	2107	24
32	1834	24

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

30.7b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
19.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite168.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

30.4b

Rules

21×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`sqrt-prod_binary64` `difference-of-squares_binary64` `times-frac_binary64` `associate-/l*_binary64`
5×	`pow1_binary64`
4×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
3×	`distribute-lft-out--_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 74

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 1900 to 1105 computations (41.8% saved)

series203.0ms (2.9%)

Error

5.4b

Counts

4 → 62

Calls

4 calls:

55.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
43.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
40.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
40.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2137 to 1757 computations (17.8% saved)

simplify117.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

530×	`times-frac_binary64`
413×	`associate-/l*_binary64`
328×	`div-sub_binary64`
314×	`associate-/r*_binary64`
181×	`distribute-rgt-in_binary64`
177×	`distribute-lft-in_binary64`
164×	`cancel-sign-sub-inv_binary64`
156×	`associate-*l/_binary64`
145×	`distribute-rgt-neg-in_binary64`
131×	`distribute-lft-neg-in_binary64`
128×	`exp-prod_binary64`
93×	`associate-l_binary64`
91×	`associate-r_binary64`
86×	`sub-neg_binary64` `associate-/l/_binary64`
83×	`*-commutative_binary64`
78×	`associate-/r/_binary64`
54×	`neg-sub0_binary64`
52×	`neg-mul-1_binary64`
45×	`cube-prod_binary64` `unswap-sqr_binary64`
41×	`sqr-pow_binary64`
38×	`distribute-neg-frac_binary64`
37×	`+-commutative_binary64`
32×	`distribute-rgt-out_binary64`
27×	`distribute-lft-neg-out_binary64`
25×	`exp-sum_binary64`
23×	`associate-*r/_binary64`
16×	`unpow3_binary64` `exp-diff_binary64` `distribute-lft-out_binary64`
14×	`swap-sqr_binary64`
13×	`distribute-neg-in_binary64`
12×	`distribute-rgt-neg-out_binary64`
10×	`cube-unmult_binary64` `cube-mult_binary64`
9×	`pow-plus_binary64` `unsub-neg_binary64` `associate-+r-_binary64`
8×	`+-rgt-identity_binary64` `difference-of-squares_binary64` `associate--r+_binary64`
7×	`log-div_binary64` `associate-+l+_binary64`
6×	`rem-sqrt-square_binary64` `associate--l+_binary64`
5×	`unpow2_binary64` `cube-div_binary64` `mul-1-neg_binary64` `associate-+r+_binary64`
4×	`log-prod_binary64` `exp-sqrt_binary64` `pow-sqr_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `exp-lft-sqr_binary64` `distribute-lft-out--_binary64` `associate-+l-_binary64`
2×	`log-pow_binary64` `div-exp_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `distribute-rgt-out--_binary64`
1×	`prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `rec-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

136 → 113

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2877
1	483	2627
2	1475	2621
3	4689	2621
4	5536	2621

prune77.0ms (1.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	104	9	113
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	104	10	114

Error

5.3b

Counts

114 → 10

Compiler

Compiled 1728 to 967 computations (44% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
0.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
19.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite122.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

28×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64`
6×	`associate-l_binary64`
5×	`flip3--_binary64` `flip--_binary64` `sqrt-prod_binary64`
4×	`cancel-sign-sub-inv_binary64` `difference-of-squares_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

15.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2199 to 1286 computations (41.5% saved)

series199.0ms (2.8%)

Error

5.3b

Counts

4 → 62

Calls

4 calls:

54.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
43.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
41.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
40.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)

Compiler

Compiled 2137 to 1757 computations (17.8% saved)

simplify125.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

437×	`times-frac_binary64`
380×	`associate-/l*_binary64`
291×	`distribute-rgt-in_binary64`
285×	`distribute-lft-in_binary64`
152×	`cancel-sign-sub-inv_binary64`
134×	`distribute-rgt-neg-in_binary64`
125×	`associate-l_binary64`
123×	`distribute-lft-neg-in_binary64`
119×	`associate-r_binary64`
118×	`exp-prod_binary64`
106×	`*-commutative_binary64`
82×	`associate-/r/_binary64`
78×	`sub-neg_binary64`
60×	`associate-/l/_binary64`
58×	`associate-*r/_binary64`
47×	`sqr-pow_binary64`
45×	`cube-prod_binary64` `neg-sub0_binary64`
43×	`neg-mul-1_binary64` `unswap-sqr_binary64`
41×	`distribute-lft-neg-out_binary64`
39×	`+-commutative_binary64`
38×	`div-sub_binary64` `associate-*l/_binary64`
35×	`distribute-neg-frac_binary64`
34×	`exp-sum_binary64`
28×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64`
25×	`log-prod_binary64` `associate-/r*_binary64`
19×	`*-rgt-identity_binary64`
18×	`*-lft-identity_binary64`
17×	`unpow3_binary64`
16×	`swap-sqr_binary64`
13×	`log-div_binary64` `exp-diff_binary64` `cube-div_binary64`
12×	`cube-mult_binary64` `distribute-lft-out_binary64`
10×	`cube-unmult_binary64` `associate-+r-_binary64`
9×	`pow-plus_binary64`
8×	`unsub-neg_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `distribute-neg-in_binary64` `associate-+l+_binary64`
6×	`associate--l+_binary64`
5×	`unpow2_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64` `associate--r+_binary64` `associate-+r+_binary64`
4×	`unpow1/2_binary64` `rem-sqrt-square_binary64` `associate-+l-_binary64`
3×	`unpow1_binary64` `exp-neg_binary64` `distribute-lft-out--_binary64`
2×	`log-pow_binary64` `log-rec_binary64` `div-exp_binary64` `rem-square-sqrt_binary64` `distribute-rgt-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `div0_binary64` `*-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `count-2_binary64` `associate--l-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64`

Counts

145 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	3119
1	516	2873
2	1702	2867
3	4778	2867
4	4954	2867

prune79.0ms (1.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	121	10	131

Error

5.3b

Counts

131 → 10

Compiler

Compiled 1939 to 1078 computations (44.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.9b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
5.6b	(/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b))) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
17.5b	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))
19.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite123.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

28×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64` `times-frac_binary64`
11×	`add-log-exp_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
5×	`pow1_binary64`
4×	`associate-/l_binary64` `associate-/r_binary64`
3×	`flip3--_binary64` `flip--_binary64` `sqrt-prod_binary64` `cancel-sign-sub-inv_binary64`
2×	`sqrt-div_binary64` `sum-log_binary64` `diff-log_binary64` `associate-/l/_binary64` `flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sub-neg_binary64` `associate--r+_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `+-commutative_binary64`

Counts

4 → 85

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b))) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
8.0ms	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))
6.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3677 to 1675 computations (54.4% saved)

series224.0ms (3.2%)

Error

5.3b

Counts

4 → 58

Calls

4 calls:

66.0ms	(/.f64 (-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b))) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
55.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
54.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
27.0ms	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))

Compiler

Compiled 3600 to 2443 computations (32.1% saved)

simplify147.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

747×	`times-frac_binary64`
440×	`div-sub_binary64`
305×	`distribute-rgt-in_binary64`
285×	`distribute-lft-in_binary64`
183×	`cancel-sign-sub-inv_binary64`
139×	`distribute-rgt-neg-in_binary64`
122×	`distribute-lft-neg-in_binary64`
112×	`exp-prod_binary64`
96×	`sub-neg_binary64`
87×	`cube-prod_binary64`
81×	`associate-/l/_binary64`
72×	`*-commutative_binary64`
67×	`associate-r_binary64`
66×	`associate-/l*_binary64`
60×	`associate-l_binary64`
53×	`neg-mul-1_binary64`
52×	`neg-sub0_binary64`
49×	`exp-sum_binary64` `unswap-sqr_binary64`
46×	`distribute-rgt-out_binary64`
43×	`+-commutative_binary64`
42×	`distribute-neg-frac_binary64`
41×	`sqr-pow_binary64`
32×	`distribute-neg-in_binary64`
27×	`associate-/r*_binary64`
25×	`associate-*l/_binary64`
23×	`log-prod_binary64` `exp-diff_binary64` `associate-*r/_binary64`
22×	`distribute-lft-neg-out_binary64`
19×	`unpow3_binary64`
15×	`cube-mult_binary64` `difference-of-squares_binary64` `associate-+r+_binary64`
14×	`associate-/r/_binary64` `associate--r+_binary64` `associate-+l+_binary64`
12×	`swap-sqr_binary64`
11×	`rem-sqrt-square_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64`
9×	`distribute-frac-neg_binary64`
8×	`cube-unmult_binary64` `/-rgt-identity_binary64`
7×	`cube-div_binary64` `unsub-neg_binary64` `associate-+r-_binary64`
6×	`*-rgt-identity_binary64` `distribute-rgt-out--_binary64`
5×	`unpow2_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
4×	`unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `sqr-neg_binary64`
3×	`log-div_binary64` `div-exp_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `div0_binary64` `pow-sqr_binary64` `associate--r-_binary64` `associate-+l-_binary64`
2×	`prod-exp_binary64` `remove-double-neg_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_binary64` `count-2_binary64`
1×	`log-pow_binary64` `exp-neg_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `-inverses_binary64` `+-inverses_binary64` `associate--l-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

143 → 101

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	4370
1	517	4083
2	1440	3446
3	4465	3446
4	5330	3446

prune68.0ms (1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	101	10	111

Error

5.3b

Counts

111 → 10

Compiler

Compiled 2340 to 1238 computations (47.1% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.9b	(+.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.5b	(.f64 (-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (*.f64 b b))) (/.f64 1/2 a))
17.5b	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))
19.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite124.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

22×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`
11×	`add-log-exp_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
4×	`flip3--_binary64` `flip--_binary64` `associate-l_binary64`
3×	`sqrt-prod_binary64` `cancel-sign-sub-inv_binary64`
2×	`sqrt-div_binary64` `sum-log_binary64` `diff-log_binary64` `difference-of-squares_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sub-neg_binary64` `associate--r+_binary64` `pow-prod-down_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

14.0ms	(.f64 (-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (*.f64 b b))) (/.f64 1/2 a))
9.0ms	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))
7.0ms	(+.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3373 to 1641 computations (51.3% saved)

series175.0ms (2.5%)

Error

5.3b

Counts

4 → 54

Calls

4 calls:

56.0ms	(+.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
51.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
27.0ms	(-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (.f64 b b)))
22.0ms	(.f64 (-.f64 (.f64 b b) (+.f64 (.f64 4 (.f64 a c)) (*.f64 b b))) (/.f64 1/2 a))

Compiler

Compiled 3157 to 2149 computations (31.9% saved)

simplify119.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

350×	`associate-*r/_binary64`
343×	`associate-*l/_binary64`
330×	`associate-/l*_binary64`
297×	`times-frac_binary64`
271×	`div-sub_binary64`
171×	`cancel-sign-sub-inv_binary64`
164×	`associate-/r*_binary64`
144×	`associate-l_binary64`
131×	`associate-r_binary64`
123×	`distribute-rgt-neg-in_binary64`
122×	`exp-prod_binary64`
113×	`distribute-lft-neg-in_binary64`
92×	`*-commutative_binary64`
82×	`cube-prod_binary64`
77×	`distribute-rgt-in_binary64`
75×	`sub-neg_binary64` `unswap-sqr_binary64`
71×	`distribute-lft-in_binary64`
64×	`log-prod_binary64`
62×	`associate-/r/_binary64`
60×	`associate-/l/_binary64`
58×	`distribute-lft-neg-out_binary64`
57×	`distribute-rgt-out_binary64`
48×	`sqr-pow_binary64`
46×	`distribute-rgt-neg-out_binary64`
45×	`+-commutative_binary64`
37×	`exp-sum_binary64`
36×	`neg-mul-1_binary64`
35×	`neg-sub0_binary64`
25×	`log-div_binary64` `cube-div_binary64`
22×	`unpow3_binary64` `*-rgt-identity_binary64` `distribute-neg-in_binary64`
21×	`*-lft-identity_binary64` `distribute-neg-frac_binary64`
20×	`swap-sqr_binary64`
18×	`exp-diff_binary64`
17×	`distribute-lft-out_binary64`
16×	`cube-mult_binary64` `associate-+l+_binary64`
15×	`associate-+r+_binary64`
13×	`difference-of-squares_binary64`
11×	`cube-unmult_binary64`
9×	`associate--r+_binary64`
8×	`rem-sqrt-square_binary64`
7×	`pow-plus_binary64`
6×	`exp-neg_binary64` `associate-+l-_binary64` `associate-+r-_binary64`
5×	`/-rgt-identity_binary64` `distribute-rgt-out--_binary64`
4×	`unpow2_binary64` `unpow1/2_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `pow-sqr_binary64` `associate--l+_binary64`
3×	`unpow1_binary64` `div-exp_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64`
2×	`log-pow_binary64` `log-rec_binary64` `rem-square-sqrt_binary64` `+-rgt-identity_binary64` `count-2_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `mul-1-neg_binary64` `sub0-neg_binary64` `*-inverses_binary64` `+-inverses_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `remove-double-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `associate--r-_binary64` `associate--l-_binary64`

Counts

135 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	199	3021
1	500	2739
2	1807	2217
3	4582	2217
4	5391	2217

prune68.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	3	3	6
Picked	0	1	1
Done	2	1	3
Total	110	8	118

Error

5.3b

Counts

118 → 8

Compiler

Compiled 2333 to 1241 computations (46.8% saved)

regimes2.3s (32.2%)

Accuracy

Total 1.2b remaining (17.2%)

Threshold costs 0b (0%)

Compiler

Compiled 15210 to 11352 computations (25.4% saved)

bsearch83.0ms (1.2%)

Steps

Iters	Range		Point
5	3.048485934279892e+98	1.168883344469775e+99	7.80695497130973e+98
9	-1.333959561777415e-222	-1.255860561126537e-228	-2.0438562332290375e-228
8	-4.11816941919053e+158	-4.4396660372921e+144	-3.215444035007023e+149

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
11×	`+-commutative_binary64`
10×	`sub-neg_binary64`
8×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`
4×	`distribute-rgt-neg-in_binary64`
3×	`distribute-neg-frac_binary64` `distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`
1×	`mul-1-neg_binary64` `distribute-lft-neg-out_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	84
1	53	84
2	78	84
3	92	84
4	101	84
5	103	84
6	102	84

end1.0ms (0%)

Compiler: Compiled 56 to 38 computations (32.1% saved)

sample1.5s (21.3%)

Algorithm

1×

intervals

Results

277.0ms	5227×	body	128	valid
273.0ms	1099×	body	2048	valid
143.0ms	740×	body	1024	valid
118.0ms	375×	body	4096	valid
55.0ms	385×	body	512	valid
32.0ms	672×	body	128	nan
23.0ms	400×	body	128	invalid
17.0ms	174×	body	256	valid

Compiler

Compiled 274 to 219 computations (20.1% saved)

Details

analyze613.0ms (8.7%)

sample41.0ms (0.6%)

simplify344.0ms (4.9%)

prune3.0ms (0%)

localize11.0ms (0.2%)

rewrite168.0ms (2.4%)

series203.0ms (2.9%)

simplify117.0ms (1.7%)

prune77.0ms (1.1%)

localize13.0ms (0.2%)

rewrite122.0ms (1.7%)

series199.0ms (2.8%)

simplify125.0ms (1.8%)

prune79.0ms (1.1%)

localize15.0ms (0.2%)

rewrite123.0ms (1.7%)

series224.0ms (3.2%)

simplify147.0ms (2.1%)

prune68.0ms (1%)

localize17.0ms (0.2%)

rewrite124.0ms (1.8%)

series175.0ms (2.5%)

simplify119.0ms (1.7%)

prune68.0ms (1%)

regimes2.3s (32.2%)

bsearch83.0ms (1.2%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample1.5s (21.3%)

Profiling