Details

analyze613.0ms (9.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

715×	`div-sub_binary64`
690×	`sub-neg_binary64`
580×	`neg-mul-1_binary64`
490×	`neg-sub0_binary64`
476×	`associate-/r*_binary64`
402×	`distribute-neg-frac_binary64`
320×	`distribute-rgt-neg-in_binary64`
280×	`distribute-rgt-neg-out_binary64`
254×	`distribute-lft-neg-in_binary64`
248×	`distribute-lft-neg-out_binary64`
231×	`+-commutative_binary64`
226×	`associate-/r/_binary64`
220×	`associate-/l*_binary64`
217×	`associate-*l/_binary64`
200×	`associate-+l-_binary64`
198×	`remove-double-neg_binary64`
189×	`distribute-rgt-in_binary64`
185×	`cancel-sign-sub-inv_binary64`
144×	`times-frac_binary64`
140×	`unsub-neg_binary64`
131×	`associate-/l/_binary64`
119×	`associate-*r/_binary64`
117×	`associate--r+_binary64`
100×	`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`
65×	`*-commutative_binary64`
61×	`+-lft-identity_binary64`
57×	`associate--r-_binary64`
54×	`/-rgt-identity_binary64`
53×	`+-rgt-identity_binary64`
48×	`associate-r_binary64`
40×	`associate-+r-_binary64` `associate-+l+_binary64`
36×	`div0_binary64`
34×	`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	39	104
1	82	96
2	160	96
3	321	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)

sample38.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	180×	body	128	valid
7.0ms	31×	body	2048	valid
4.0ms	20×	body	1024	valid
3.0ms	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)

simplify336.0ms (5%)

Algorithm

1×	egg-herbie

Rules

1228×	`associate-/l*_binary64`
1150×	`div-sub_binary64`
630×	`distribute-rgt-in_binary64`
619×	`times-frac_binary64`
588×	`associate-/r*_binary64`
554×	`distribute-lft-in_binary64`
519×	`unsub-neg_binary64`
479×	`associate-/r/_binary64`
457×	`cancel-sign-sub-inv_binary64`
434×	`sub-neg_binary64`
393×	`*-commutative_binary64`
381×	`associate-/l/_binary64`
225×	`distribute-rgt-neg-in_binary64`
224×	`associate-*l/_binary64`
212×	`distribute-rgt-out--_binary64`
198×	`distribute-lft-neg-in_binary64`
184×	`distribute-neg-frac_binary64`
179×	`neg-mul-1_binary64`
156×	`distribute-rgt-out_binary64`
141×	`neg-sub0_binary64`
121×	`associate--r+_binary64`
120×	`distribute-rgt-neg-out_binary64`
101×	`associate--r-_binary64` `+-commutative_binary64`
98×	`associate-*r/_binary64`
87×	`distribute-lft-neg-out_binary64`
86×	`mul0-rgt_binary64`
80×	`mul0-lft_binary64`
69×	`distribute-frac-neg_binary64`
68×	`distribute-neg-out_binary64`
64×	`distribute-lft-out_binary64`
62×	`div0_binary64`
61×	`associate--l-_binary64`
60×	`*-lft-identity_binary64`
57×	`associate-r_binary64`
51×	`associate-l_binary64`
48×	`distribute-lft-out--_binary64`
30×	`+-lft-identity_binary64` `distribute-neg-in_binary64`
28×	`associate--l+_binary64`
27×	`remove-double-neg_binary64`
26×	`/-rgt-identity_binary64`
24×	`associate-+r-_binary64`
19×	`sub0-neg_binary64` `--rgt-identity_binary64`
17×	`*-rgt-identity_binary64`
16×	`mul-1-neg_binary64`
14×	`remove-double-div_binary64` `associate-+l+_binary64`
13×	`associate-+l-_binary64`
7×	`associate-+r+_binary64`
5×	`+-rgt-identity_binary64`
1×	`1-exp_binary64` `swap-sqr_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` `sqr-neg_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	33	24
2	62	24
3	121	24
4	172	24
5	282	24
6	460	24
7	748	24
8	1084	24
9	1128	24
10	1799	24
11	2594	24
12	2001	24
13	2089	24
14	2153	24
15	2179	24
16	2431	24
17	2909	24
18	2913	24
19	2991	24
20	3053	24
21	3065	24
22	3035	24
23	3211	24
24	3211	24
25	2043	24
26	2195	24
27	2097	24
28	2107	24
29	2107	24
30	2107	24
31	2107	24
32	1834	24

prune6.0ms (0.1%)

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

rewrite162.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

30.5b

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:

10.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
7.0ms	(-.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 1900 to 985 computations (48.2% saved)

series201.0ms (3%)

Error

5.4b

Counts

4 → 62

Calls

4 calls:

54.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
42.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
41.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
40.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2137 to 1757 computations (17.8% saved)

simplify118.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

552×	`times-frac_binary64`
422×	`associate-/l*_binary64`
329×	`div-sub_binary64`
316×	`associate-/r*_binary64`
178×	`distribute-rgt-in_binary64`
174×	`distribute-lft-in_binary64`
156×	`associate-*l/_binary64`
144×	`cancel-sign-sub-inv_binary64`
136×	`distribute-rgt-neg-in_binary64`
120×	`distribute-lft-neg-in_binary64`
115×	`exp-prod_binary64`
86×	`associate-/l/_binary64`
84×	`sub-neg_binary64` `*-commutative_binary64`
83×	`associate-l_binary64`
82×	`associate-r_binary64`
78×	`associate-/r/_binary64`
51×	`neg-sub0_binary64`
48×	`neg-mul-1_binary64`
43×	`cube-prod_binary64`
37×	`sqr-pow_binary64` `distribute-neg-frac_binary64` `+-commutative_binary64`
35×	`unswap-sqr_binary64`
34×	`distribute-rgt-out_binary64`
23×	`distribute-lft-neg-out_binary64` `associate-*r/_binary64`
21×	`exp-sum_binary64`
16×	`unpow3_binary64`
15×	`exp-diff_binary64` `swap-sqr_binary64`
13×	`distribute-neg-in_binary64`
11×	`cube-mult_binary64` `distribute-rgt-neg-out_binary64`
10×	`distribute-lft-out_binary64`
9×	`cube-unmult_binary64` `unsub-neg_binary64` `associate-+r-_binary64`
8×	`pow-plus_binary64` `+-rgt-identity_binary64` `difference-of-squares_binary64` `associate--r+_binary64`
7×	`log-div_binary64` `associate-+l+_binary64`
6×	`rem-sqrt-square_binary64` `mul-1-neg_binary64` `associate--l+_binary64`
5×	`cube-div_binary64` `associate-+r+_binary64`
4×	`log-prod_binary64` `unpow2_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 → 86

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	182	2871
1	476	2627
2	1426	2621
3	4633	2621
4	5476	2621

prune56.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	76	10	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	10	87

Error

5.3b

Counts

87 → 10

Compiler

Compiled 1157 to 662 computations (42.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite106.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

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`
3×	`cancel-sign-sub-inv_binary64` `distribute-lft-out--_binary64`
2×	`flip3-+_binary64` `sqrt-div_binary64` `flip-+_binary64` `flip3--_binary64` `flip--_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `+-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r*_binary64`

Counts

4 → 73

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4)))) b) (.f64 a 2))
7.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))) b)
4.0ms	(+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))
4.0ms	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))

Compiler

Compiled 1882 to 1094 computations (41.9% saved)

series188.0ms (2.8%)

Error

5.3b

Counts

4 → 62

Calls

4 calls:

53.0ms	(/.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (.f64 c -4)))) b) (.f64 a 2))
41.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))) b)
41.0ms	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))
40.0ms	(+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))

Compiler

Compiled 2137 to 1757 computations (17.8% saved)

simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

534×	`times-frac_binary64`
251×	`distribute-rgt-in_binary64`
239×	`cancel-sign-sub-inv_binary64`
237×	`div-sub_binary64`
235×	`distribute-lft-in_binary64`
210×	`distribute-rgt-neg-in_binary64`
159×	`distribute-lft-neg-in_binary64`
153×	`exp-prod_binary64`
135×	`associate-r_binary64`
123×	`associate-l_binary64`
119×	`cube-prod_binary64`
91×	`sub-neg_binary64`
88×	`*-commutative_binary64`
86×	`associate-/l/_binary64`
82×	`distribute-lft-neg-out_binary64`
78×	`associate-/r/_binary64`
70×	`distribute-rgt-neg-out_binary64`
68×	`neg-sub0_binary64`
66×	`distribute-rgt-out_binary64`
62×	`associate-/l*_binary64`
60×	`unswap-sqr_binary64`
58×	`neg-mul-1_binary64`
48×	`associate-/r*_binary64`
45×	`sqr-pow_binary64`
37×	`distribute-neg-frac_binary64`
35×	`swap-sqr_binary64` `+-commutative_binary64`
25×	`associate-*l/_binary64`
24×	`exp-sum_binary64` `unsub-neg_binary64`
23×	`exp-diff_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64`
22×	`unpow3_binary64`
21×	`distribute-rgt-out--_binary64`
15×	`cube-mult_binary64`
13×	`distribute-neg-in_binary64`
11×	`cube-neg_binary64` `distribute-lft-out--_binary64`
10×	`cube-unmult_binary64` `associate-+r-_binary64`
8×	`sqr-neg_binary64` `associate--r+_binary64` `associate-+l+_binary64`
7×	`pow-plus_binary64` `remove-double-neg_binary64` `+-rgt-identity_binary64` `associate--l+_binary64`
6×	`rem-sqrt-square_binary64` `mul-1-neg_binary64`
5×	`log-div_binary64` `difference-of-squares_binary64` `associate-+l-_binary64`
4×	`log-prod_binary64` `exp-sqrt_binary64` `pow-sqr_binary64` `distribute-neg-out_binary64` `associate-+r+_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `cube-div_binary64`
2×	`log-pow_binary64` `exp-lft-sqr_binary64` `rem-square-sqrt_binary64` `sub0-neg_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `--rgt-identity_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64` `distribute-rgt1-in_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-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` `+-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-frac-neg_binary64` `distribute-lft1-in_binary64`

Counts

135 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	2863
1	497	2613
2	1686	2598
3	4536	2598
4	5192	2598

prune61.0ms (0.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	111	10	121

Error

5.3b

Counts

121 → 10

Compiler

Compiled 1700 to 959 computations (43.6% 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)))))
3.1b	(/.f64 (/.f64 (+.f64 (.f64 a (.f64 c -4)) 0) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
10.2b	(/.f64 (+.f64 (.f64 a (.f64 c -4)) 0) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
19.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite176.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

54×	`times-frac_binary64`
52×	`*-un-lft-identity_binary64`
31×	`add-sqr-sqrt_binary64`
30×	`add-cube-cbrt_binary64`
21×	`associate-/l*_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`distribute-lft-out_binary64`
7×	`div-exp_binary64` `cbrt-undiv_binary64`
6×	`add-log-exp_binary64` `associate-/r/_binary64`
5×	`pow1_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/r*_binary64`
4×	`div-inv_binary64`
3×	`sqrt-prod_binary64` `associate-/l/_binary64`
2×	`sqrt-div_binary64` `frac-2neg_binary64` `clear-num_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `flip3--_binary64` `flip--_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `+-commutative_binary64`

Counts

4 → 118

Calls

4 calls:

15.0ms	(/.f64 (/.f64 (+.f64 (.f64 a (.f64 c -4)) 0) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
12.0ms	(/.f64 (+.f64 (.f64 a (.f64 c -4)) 0) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
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 4501 to 2680 computations (40.5% saved)

series251.0ms (3.8%)

Error

5.3b

Counts

4 → 63

Calls

4 calls:

64.0ms	(/.f64 (+.f64 (.f64 a (.f64 c -4)) 0) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
60.0ms	(/.f64 (/.f64 (+.f64 (.f64 a (.f64 c -4)) 0) (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))) (.f64 a 2))
52.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
49.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3382 to 2607 computations (22.9% saved)

simplify185.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

539×	`associate-/r/_binary64`
277×	`distribute-rgt-in_binary64`
236×	`distribute-lft-in_binary64`
222×	`cancel-sign-sub-inv_binary64`
211×	`div-sub_binary64`
194×	`associate-/l*_binary64`
156×	`distribute-rgt-neg-in_binary64`
150×	`log-prod_binary64`
140×	`times-frac_binary64`
139×	`distribute-lft-neg-in_binary64`
122×	`*-commutative_binary64`
118×	`associate-l_binary64` `associate-r_binary64`
106×	`sub-neg_binary64` `associate-/r*_binary64`
97×	`associate-/l/_binary64`
82×	`log-div_binary64`
68×	`unswap-sqr_binary64`
61×	`associate-*l/_binary64`
53×	`associate-*r/_binary64`
52×	`distribute-neg-frac_binary64`
51×	`cube-prod_binary64`
50×	`neg-sub0_binary64`
46×	`neg-mul-1_binary64`
45×	`distribute-frac-neg_binary64`
44×	`+-commutative_binary64`
43×	`swap-sqr_binary64`
42×	`distribute-rgt-out_binary64`
37×	`sqr-pow_binary64`
33×	`distribute-lft-neg-out_binary64`
32×	`distribute-rgt-neg-out_binary64`
21×	`cube-div_binary64`
19×	`div0_binary64` `distribute-neg-in_binary64`
16×	`*-rgt-identity_binary64`
15×	`associate--r+_binary64`
13×	`exp-prod_binary64` `unsub-neg_binary64`
11×	`mul0-rgt_binary64`
10×	`associate--l+_binary64` `associate-+l+_binary64`
9×	`mul0-lft_binary64` `distribute-lft-out_binary64`
8×	`unpow3_binary64` `cube-mult_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64`
6×	`cube-unmult_binary64` `/-rgt-identity_binary64` `distribute-rgt-out--_binary64` `associate-+r-_binary64`
5×	`log-pow_binary64` `associate--l-_binary64`
4×	`log-rec_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `unpow1_binary64` `mul-1-neg_binary64`
3×	`exp-diff_binary64` `rem-sqrt-square_binary64` `+-rgt-identity_binary64` `associate-+l-_binary64`
2×	`rem-square-sqrt_binary64` `pow-sqr_binary64` `distribute-neg-out_binary64` `associate--r-_binary64`
1×	`exp-sqrt_binary64` `prod-exp_binary64` `1-exp_binary64` `cube-neg_binary64` `-lft-identity_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `-inverses_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64` `count-2_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` `div-exp_binary64` `rec-exp_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` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `+-lft-identity_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

181 → 143

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	5868
1	685	5310
2	2366	5160
3	4907	5160
4	4954	5160

prune101.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	5	3	8
Picked	1	0	1
Done	0	1	1
Total	147	6	153

Error

5.3b

Counts

153 → 6

Compiler

Compiled 3364 to 1979 computations (41.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 1 (.f64 c -4)) (/.f64 1/2 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.9b	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
19.9b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite119.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

37×	`add-exp-log_binary64`
25×	`add-cbrt-cube_binary64`
22×	`prod-exp_binary64`
21×	`*-un-lft-identity_binary64`
18×	`associate-r_binary64`
14×	`pow1_binary64` `add-sqr-sqrt_binary64`
13×	`add-cube-cbrt_binary64`
12×	`cbrt-unprod_binary64` `times-frac_binary64`
8×	`add-log-exp_binary64`
6×	`pow-prod-down_binary64`
5×	`div-exp_binary64`
4×	`distribute-lft-out_binary64` `1-exp_binary64`
3×	`sqrt-prod_binary64` `cbrt-undiv_binary64`
2×	`flip3--_binary64` `sqrt-div_binary64` `flip--_binary64` `flip3-+_binary64` `flip-+_binary64` `associate-/r/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sum-log_binary64` `+-commutative_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64` `associate-r/_binary64` `associate-l_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 86

Calls

4 calls:

14.0ms	(.f64 (.f64 1 (.f64 c -4)) (/.f64 1/2 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
6.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
5.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2711 to 1623 computations (40.1% saved)

series224.0ms (3.4%)

Error

5.3b

Counts

4 → 68

Calls

4 calls:

58.0ms	(.f64 (.f64 1 (.f64 c -4)) (/.f64 1/2 (+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))))))
52.0ms	(+.f64 b (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))
47.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
44.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2928 to 2416 computations (17.5% saved)

simplify130.0ms (2%)

Algorithm

1×	egg-herbie

Rules

778×	`times-frac_binary64`
611×	`associate-/l*_binary64`
223×	`associate-l_binary64`
197×	`associate-r_binary64`
172×	`cancel-sign-sub-inv_binary64`
138×	`div-sub_binary64`
125×	`distribute-rgt-neg-in_binary64`
115×	`associate-/r/_binary64`
112×	`distribute-lft-neg-in_binary64`
108×	`*-commutative_binary64`
96×	`exp-prod_binary64`
85×	`distribute-rgt-in_binary64`
76×	`associate-/l/_binary64`
72×	`distribute-lft-in_binary64`
66×	`cube-prod_binary64`
63×	`associate-*r/_binary64`
62×	`sub-neg_binary64`
53×	`sqr-pow_binary64`
51×	`unswap-sqr_binary64`
46×	`+-commutative_binary64`
36×	`neg-sub0_binary64` `distribute-neg-frac_binary64` `associate-*l/_binary64`
35×	`associate-+l+_binary64`
34×	`log-prod_binary64`
32×	`neg-mul-1_binary64`
31×	`distribute-rgt-out_binary64`
30×	`associate-/r*_binary64`
26×	`associate-+r+_binary64`
25×	`*-lft-identity_binary64`
22×	`unpow3_binary64` `*-rgt-identity_binary64` `swap-sqr_binary64`
18×	`log-div_binary64` `cube-mult_binary64` `cube-div_binary64`
14×	`exp-sum_binary64` `distribute-lft-neg-out_binary64`
12×	`distribute-neg-in_binary64`
10×	`cube-unmult_binary64` `associate-+r-_binary64`
9×	`pow-plus_binary64`
8×	`unsub-neg_binary64` `+-lft-identity_binary64` `associate--r+_binary64`
7×	`exp-diff_binary64` `rem-sqrt-square_binary64` `difference-of-squares_binary64` `distribute-lft-out_binary64`
6×	`distribute-rgt-neg-out_binary64`
5×	`unpow2_binary64` `unpow1/2_binary64` `/-rgt-identity_binary64` `pow-sqr_binary64` `distribute-rgt-out--_binary64` `associate--l+_binary64`
4×	`unpow1_binary64` `mul-1-neg_binary64` `+-rgt-identity_binary64` `distribute-frac-neg_binary64` `distribute-lft-out--_binary64`
3×	`count-2_binary64` `associate-+l-_binary64`
2×	`log-pow_binary64` `log-rec_binary64` `cube-neg_binary64` `rem-square-sqrt_binary64`
1×	`div-exp_binary64` `prod-exp_binary64` `1-exp_binary64` `exp-1-e_binary64` `sqr-neg_binary64` `remove-double-neg_binary64` `+-inverses_binary64` `cancel-sign-sub_binary64` `distribute-neg-out_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` `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` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_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-rgt1-in_binary64` `distribute-lft1-in_binary64`

Counts

154 → 114

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	3502
1	540	2938
2	1892	2903
3	4756	2903
4	5176	2903

prune59.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	114	6	120

Error

5.3b

Counts

120 → 6

Compiler

Compiled 1523 to 896 computations (41.2% saved)

regimes1.8s (27.3%)

Accuracy

Total 1.2b remaining (17.3%)

Threshold costs 0b (0%)

Compiler

Compiled 12062 to 9128 computations (24.3% saved)

bsearch70.0ms (1%)

Steps

Iters	Range		Point
5	3.048485934279892e+98	1.168883344469775e+99	1.0477879590735767e+99
6	-3.5600314525181544e-237	-5.960546571586093e-238	-6.380181084755399e-238
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

13×	`*-commutative_binary64`
11×	`+-commutative_binary64`
9×	`sub-neg_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×	`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` `1-exp_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	37	78
1	61	78
2	76	78
3	91	78
4	98	78
5	101	78
6	102	78
7	101	78

end1.0ms (0%)

Compiler: Compiled 52 to 35 computations (32.7% saved)

sample1.4s (21.8%)

Algorithm

1×

intervals

Results

270.0ms	5227×	body	128	valid
269.0ms	1099×	body	2048	valid
153.0ms	740×	body	1024	valid
117.0ms	375×	body	4096	valid
57.0ms	385×	body	512	valid
35.0ms	672×	body	128	nan
20.0ms	400×	body	128	invalid
17.0ms	174×	body	256	valid

Compiler

Compiled 191 to 158 computations (17.3% saved)

Details

analyze613.0ms (9.2%)

sample38.0ms (0.6%)

simplify336.0ms (5%)

prune6.0ms (0.1%)

localize11.0ms (0.2%)

rewrite162.0ms (2.4%)

series201.0ms (3%)

simplify118.0ms (1.8%)

prune56.0ms (0.8%)

localize13.0ms (0.2%)

rewrite106.0ms (1.6%)

series188.0ms (2.8%)

simplify121.0ms (1.8%)

prune61.0ms (0.9%)

localize15.0ms (0.2%)

rewrite176.0ms (2.6%)

series251.0ms (3.8%)

simplify185.0ms (2.8%)

prune101.0ms (1.5%)

localize13.0ms (0.2%)

rewrite119.0ms (1.8%)

series224.0ms (3.4%)

simplify130.0ms (2%)

prune59.0ms (0.9%)

regimes1.8s (27.3%)

bsearch70.0ms (1%)

simplify7.0ms (0.1%)

end1.0ms (0%)

sample1.4s (21.8%)

Profiling