Details

analyze606.0ms (6.2%)

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)

sample44.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	165×	body	128	valid
9.0ms	39×	body	2048	valid
5.0ms	24×	body	1024	valid
4.0ms	13×	body	4096	valid
1.0ms	10×	body	512	valid
1.0ms	21×	body	128	nan
1.0ms	12×	body	128	invalid
0.0ms	5×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify339.0ms (3.5%)

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

33.9b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

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))
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite172.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

33.6b

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:

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

Compiler

Compiled 1900 to 1105 computations (41.8% saved)

series278.0ms (2.9%)

Error

6.7b

Counts

4 → 87

Calls

4 calls:

77.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
63.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
52.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
42.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 3191 to 2532 computations (20.7% saved)

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

854×	`associate-/l*_binary64`
251×	`cancel-sign-sub-inv_binary64`
237×	`distribute-rgt-in_binary64`
202×	`distribute-lft-in_binary64`
198×	`distribute-rgt-neg-in_binary64`
182×	`distribute-lft-neg-in_binary64`
156×	`associate-/r/_binary64`
145×	`sub-neg_binary64`
135×	`associate-r_binary64`
124×	`associate-/l/_binary64`
115×	`associate-l_binary64`
108×	`*-commutative_binary64`
104×	`unswap-sqr_binary64`
102×	`times-frac_binary64`
89×	`distribute-neg-frac_binary64`
79×	`neg-sub0_binary64`
77×	`neg-mul-1_binary64`
76×	`+-commutative_binary64`
74×	`associate-/r*_binary64`
67×	`distribute-neg-in_binary64`
60×	`div-sub_binary64` `sqr-pow_binary64`
46×	`exp-prod_binary64`
37×	`associate-*l/_binary64`
36×	`associate-*r/_binary64`
35×	`distribute-rgt-out_binary64`
34×	`unsub-neg_binary64`
31×	`distribute-lft-neg-out_binary64` `associate--r+_binary64`
28×	`associate--l+_binary64`
26×	`associate-+l+_binary64`
24×	`associate-+r+_binary64`
20×	`cube-prod_binary64`
18×	`distribute-lft-out_binary64`
15×	`swap-sqr_binary64` `distribute-rgt-neg-out_binary64`
13×	`associate-+r-_binary64`
11×	`+-rgt-identity_binary64`
9×	`unpow3_binary64` `cube-mult_binary64` `difference-of-squares_binary64`
8×	`exp-sum_binary64`
7×	`exp-diff_binary64`
6×	`cube-unmult_binary64`
5×	`mul-1-neg_binary64` `distribute-lft-out--_binary64`
4×	`log-div_binary64` `rem-sqrt-square_binary64`
3×	`log-prod_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `exp-sqrt_binary64` `rem-square-sqrt_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
2×	`div-exp_binary64` `cube-div_binary64` `distribute-neg-out_binary64`
1×	`log-pow_binary64` `exp-lft-sqr_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `div0_binary64` `*-inverses_binary64` `cancel-sign-sub_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` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_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` `/-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

161 → 136

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	248	4107
1	682	3836
2	2264	3785
3	5621	3785

prune99.0ms (1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	126	10	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	10	137

Error

6.7b

Counts

137 → 10

Compiler

Compiled 2176 to 1234 computations (43.3% saved)

localize11.0ms (0.1%)

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))
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite113.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

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×	`difference-of-squares_binary64` `cancel-sign-sub-inv_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:

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

series458.0ms (4.7%)

Error

6.7b

Counts

4 → 87

Calls

4 calls:

241.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
79.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
61.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
41.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 3191 to 2532 computations (20.7% saved)

simplify184.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

347×	`distribute-rgt-in_binary64`
310×	`distribute-lft-in_binary64`
239×	`cancel-sign-sub-inv_binary64`
187×	`distribute-rgt-neg-in_binary64`
174×	`distribute-lft-neg-in_binary64`
162×	`associate-r_binary64`
146×	`associate-l_binary64`
137×	`sub-neg_binary64`
133×	`exp-prod_binary64`
131×	`*-commutative_binary64`
102×	`unswap-sqr_binary64` `associate-/l*_binary64`
86×	`distribute-neg-frac_binary64`
78×	`+-commutative_binary64`
73×	`times-frac_binary64`
71×	`associate-*r/_binary64`
70×	`neg-sub0_binary64`
68×	`neg-mul-1_binary64`
66×	`sqr-pow_binary64`
62×	`distribute-neg-in_binary64`
51×	`associate-/r*_binary64`
50×	`associate-*l/_binary64`
45×	`distribute-lft-neg-out_binary64`
38×	`div-sub_binary64`
34×	`exp-sum_binary64`
33×	`unsub-neg_binary64`
31×	`distribute-rgt-neg-out_binary64` `distribute-rgt-out_binary64`
28×	`associate--l+_binary64` `associate--r+_binary64`
27×	`associate-+l+_binary64`
24×	`associate-+r+_binary64`
21×	`cube-prod_binary64`
20×	`unpow3_binary64`
19×	`*-rgt-identity_binary64`
18×	`log-prod_binary64` `*-lft-identity_binary64`
17×	`swap-sqr_binary64`
14×	`cube-mult_binary64` `distribute-lft-out_binary64` `associate-/l/_binary64` `associate-+r-_binary64`
12×	`exp-diff_binary64`
11×	`pow-plus_binary64` `+-rgt-identity_binary64`
10×	`cube-unmult_binary64` `associate-/r/_binary64`
9×	`difference-of-squares_binary64`
7×	`log-div_binary64` `cube-div_binary64`
5×	`unpow2_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `distribute-lft-out--_binary64`
4×	`unpow1/2_binary64` `exp-neg_binary64` `pow-sqr_binary64` `associate-+l-_binary64`
3×	`log-pow_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `distribute-rgt-out--_binary64`
2×	`div-exp_binary64` `distribute-neg-out_binary64`
1×	`unpow-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `div0_binary64` `*-inverses_binary64` `cancel-sign-sub_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` `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` `count-2_binary64` `associate--r-_binary64`

Counts

170 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	4349
1	714	4082
2	2486	4031
3	4851	4031
4	4989	4031
5	4948	4031

prune94.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	143	11	154

Error

6.7b

Counts

154 → 11

Compiler

Compiled 2420 to 1371 computations (43.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
0.6b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite440.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

693×	`times-frac_binary64`
439×	`add-sqr-sqrt_binary64`
364×	`*-un-lft-identity_binary64`
290×	`add-cube-cbrt_binary64`
74×	`difference-of-squares_binary64`
71×	`associate-/r*_binary64`
40×	`sqrt-prod_binary64`
37×	`distribute-lft-out--_binary64`
25×	`add-exp-log_binary64`
17×	`div-inv_binary64`
15×	`div-exp_binary64`
13×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64`
5×	`associate-/r/_binary64`
4×	`cancel-sign-sub-inv_binary64`
3×	`flip3--_binary64` `flip--_binary64` `1-exp_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 356

Calls

4 calls:

25.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 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 11057 to 6512 computations (41.1% saved)

series269.0ms (2.8%)

Error

6.7b

Counts

4 → 86

Calls

4 calls:

77.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
62.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
52.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
43.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 3342 to 2700 computations (19.2% saved)

simplify498.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

480×	`associate-/r/_binary64`
341×	`*-commutative_binary64`
334×	`associate-*l/_binary64`
279×	`associate-/l/_binary64`
275×	`associate-*r/_binary64`
224×	`associate-/l*_binary64`
221×	`associate-/r*_binary64`
182×	`associate-r_binary64`
140×	`times-frac_binary64`
111×	`associate-l_binary64`
75×	`sub-neg_binary64`
51×	`cancel-sign-sub-inv_binary64`
49×	`distribute-rgt-in_binary64`
46×	`exp-prod_binary64`
43×	`distribute-lft-in_binary64`
39×	`neg-mul-1_binary64` `neg-sub0_binary64`
37×	`distribute-rgt-neg-in_binary64`
33×	`distribute-lft-neg-in_binary64` `associate--r+_binary64`
31×	`associate-+r+_binary64`
30×	`sqr-pow_binary64` `distribute-neg-in_binary64`
25×	`log-div_binary64` `log-prod_binary64` `unpow3_binary64` `cube-prod_binary64`
23×	`associate--l+_binary64` `associate-+l+_binary64`
20×	`+-commutative_binary64`
18×	`associate-+r-_binary64`
17×	`remove-double-div_binary64`
14×	`unswap-sqr_binary64`
11×	`div-sub_binary64`
9×	`cube-mult_binary64` `distribute-neg-frac_binary64`
8×	`cube-div_binary64` `/-rgt-identity_binary64` `swap-sqr_binary64`
7×	`log-rec_binary64` `cube-unmult_binary64`
6×	`exp-sum_binary64` `unsub-neg_binary64`
5×	`exp-diff_binary64` `mul-1-neg_binary64` `difference-of-squares_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64`
4×	`distribute-lft-neg-out_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `rem-square-sqrt_binary64` `associate--r-_binary64` `associate-+l-_binary64`
2×	`log-pow_binary64` `div-exp_binary64` `rem-sqrt-square_binary64` `*-rgt-identity_binary64`
1×	`exp-sqrt_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `*-lft-identity_binary64` `sub0-neg_binary64` `pow-sqr_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out_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` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_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` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_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` `count-2_binary64`

Counts

442 → 380

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	19142
1	1369	18228
2	4840	18227
3	4972	18227
4	4955	18227

prune207.0ms (2.1%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	379	1	380
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	379	12	391

Error

6.7b

Counts

391 → 12

Compiler

Compiled 6647 to 3768 computations (43.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.7b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite98.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

18×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64` `cancel-sign-sub-inv_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `difference-of-squares_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64`

Counts

4 → 64

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
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	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2482 to 1287 computations (48.1% saved)

series306.0ms (3.1%)

Error

6.7b

Counts

4 → 90

Calls

4 calls:

70.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
70.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
60.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
58.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5960 to 4256 computations (28.6% saved)

simplify101.0ms (1%)

Algorithm

1×	egg-herbie

Rules

697×	`associate-l_binary64`
686×	`times-frac_binary64`
328×	`associate-/l*_binary64`
289×	`associate-/r*_binary64`
142×	`distribute-rgt-neg-in_binary64`
141×	`cancel-sign-sub-inv_binary64`
132×	`distribute-lft-neg-in_binary64`
92×	`associate-*l/_binary64`
86×	`sub-neg_binary64`
76×	`distribute-rgt-in_binary64`
74×	`associate-*r/_binary64`
69×	`associate-r_binary64`
59×	`distribute-lft-in_binary64` `associate-/r/_binary64`
53×	`unswap-sqr_binary64`
50×	`+-commutative_binary64`
49×	`*-commutative_binary64`
43×	`neg-mul-1_binary64` `sqr-pow_binary64`
42×	`distribute-neg-frac_binary64`
41×	`neg-sub0_binary64`
36×	`distribute-neg-in_binary64`
31×	`distribute-rgt-out_binary64`
23×	`associate-/l/_binary64`
19×	`associate--r+_binary64`
16×	`associate-+l+_binary64`
15×	`cube-prod_binary64` `unsub-neg_binary64` `swap-sqr_binary64` `associate--l+_binary64`
14×	`distribute-lft-neg-out_binary64` `associate-+r+_binary64`
12×	`exp-prod_binary64` `associate-+r-_binary64`
10×	`+-rgt-identity_binary64`
9×	`unpow3_binary64` `cube-mult_binary64` `difference-of-squares_binary64`
8×	`distribute-lft-out_binary64`
7×	`distribute-rgt-neg-out_binary64`
4×	`rem-sqrt-square_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-sum_binary64` `cube-unmult_binary64` `rem-square-sqrt_binary64` `distribute-rgt-out--_binary64` `associate-+l-_binary64`
2×	`pow-plus_binary64` `exp-diff_binary64` `distribute-lft-out--_binary64`
1×	`div-exp_binary64` `1-exp_binary64` `rem-3cbrt-lft_binary64` `pow-sqr_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_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-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_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` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-div_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_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` `count-2_binary64` `associate--r-_binary64`

Counts

154 → 94

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	134	3802
1	368	3596
2	1132	3566
3	5029	3566

prune64.0ms (0.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	94	12	106

Error

6.7b

Counts

106 → 12

Compiler

Compiled 2232 to 1211 computations (45.7% saved)

regimes3.6s (36.5%)

Accuracy

Total 4.2b remaining (43.5%)

Threshold costs 0b (0%)

Compiler

Compiled 19582 to 15336 computations (21.7% saved)

bsearch62.0ms (0.6%)

Steps

Iters	Range		Point
9	2.4408851467417982e-88	1.8436035360959096e-81	2.5891433554624712e-82
6	-7.194646523807251e+161	-1.4713342230876064e+139	-7.168205120737859e+150

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`sub-neg_binary64` `*-commutative_binary64` `+-commutative_binary64`
7×	`neg-mul-1_binary64` `neg-sub0_binary64`
4×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`
1×	`1-exp_binary64` `distribute-neg-frac_binary64` `distribute-frac-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` `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` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `unsub-neg_binary64` `mul-1-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-neg-out_binary64` `distribute-neg-in_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	48
1	48	48
2	63	48
3	78	48
4	85	48
5	88	48
6	89	48
7	86	48

end1.0ms (0%)

Compiler: Compiled 32 to 23 computations (28.1% saved)

sample1.6s (16.2%)

Algorithm

1×

intervals

Results

288.0ms	1105×	body	2048	valid
281.0ms	5221×	body	128	valid
145.0ms	727×	body	1024	valid
128.0ms	399×	body	4096	valid
54.0ms	367×	body	512	valid
35.0ms	654×	body	128	nan
19.0ms	373×	body	128	invalid
18.0ms	181×	body	256	valid

Compiler

Compiled 255 to 214 computations (16.1% saved)

Details

analyze606.0ms (6.2%)

sample44.0ms (0.5%)

simplify339.0ms (3.5%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite172.0ms (1.8%)

series278.0ms (2.9%)

simplify110.0ms (1.1%)

prune99.0ms (1%)

localize11.0ms (0.1%)

rewrite113.0ms (1.2%)

series458.0ms (4.7%)

simplify184.0ms (1.9%)

prune94.0ms (1%)

localize12.0ms (0.1%)

rewrite440.0ms (4.5%)

series269.0ms (2.8%)

simplify498.0ms (5.1%)

prune207.0ms (2.1%)

localize15.0ms (0.2%)

rewrite98.0ms (1%)

series306.0ms (3.1%)

simplify101.0ms (1%)

prune64.0ms (0.7%)

regimes3.6s (36.5%)

bsearch62.0ms (0.6%)

simplify6.0ms (0.1%)

end1.0ms (0%)

sample1.6s (16.2%)

Profiling