Details

analyze915.0ms (9.7%)

Algorithm

1×

Search

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

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample69.0ms (0.7%)

Algorithm

1×

intervals

Results

19.0ms	43×	body	2048	valid
16.0ms	169×	body	128	valid
7.0ms	18×	body	1024	valid
4.0ms	8×	body	4096	valid
4.0ms	15×	body	512	valid
2.0ms	23×	body	128	nan
1.0ms	13×	body	128	invalid
1.0ms	3×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify406.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	927	24
1	927	24

prune7.0ms (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

Merged error: 33.8b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 4 a) c)
0.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
1.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
23.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite58.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_435`
10×	`pow1_binary64_472`
9×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
8×	`*-un-lft-identity_binary64_414` `add-log-exp_binary64_450`
6×	`add-cube-cbrt_binary64_446`
4×	`sqrt-prod_binary64_429`
3×	`flip3--_binary64_418` `prod-exp_binary64_460` `pow-prod-down_binary64_482` `associate-r_binary64_356` `flip--_binary64_389` `cbrt-unprod_binary64_444`
2×	`sqrt-div_binary64_430` `difference-of-squares_binary64_383` `diff-log_binary64_503` `sub-neg_binary64_407`
1×	`distribute-lft-out--_binary64_368` `-commutative_binary64_347` `sqrt-pow1_binary64_431` `associate-l*_binary64_357` `pow1/2_binary64_491` `rem-sqrt-square_binary64_427`

Counts

4 → 58

Calls

4 calls:

18.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
11.0ms	(.f64 (.f64 4 a) c)
9.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
9.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

series664.0ms (7%)

Counts

4 → 12

Calls

4 calls:

260.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
226.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
121.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
56.0ms	(.f64 (.f64 4 a) c)

simplify134.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4886	1207
1	4886	1207

prune191.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	7	71

Merged error: 11.5b

Counts

71 → 7

Compiler

Compiled 1654 to 1004 computations (39.3% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 a (.f64 c -4))
0.6b	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))) b)
1.8b	(+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))
23.3b	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))

rewrite56.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_435`
10×	`pow1_binary64_472`
9×	`add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
8×	`*-un-lft-identity_binary64_414` `add-log-exp_binary64_450`
6×	`add-cube-cbrt_binary64_446`
4×	`sqrt-prod_binary64_429`
3×	`prod-exp_binary64_460` `pow-prod-down_binary64_482` `associate-l_binary64_357` `cbrt-unprod_binary64_444`
2×	`sqrt-div_binary64_430` `flip3-+_binary64_417` `difference-of-squares_binary64_383` `flip-+_binary64_388`
1×	`flip3--_binary64_418` `distribute-lft-out--_binary64_368` `diff-log_binary64_503` `-commutative_binary64_347` `sqrt-pow1_binary64_431` `+-commutative_binary64_346` `sub-neg_binary64_407` `associate-r*_binary64_356` `pow1/2_binary64_491` `flip--_binary64_389` `sum-log_binary64_502` `rem-sqrt-square_binary64_427`

Counts

4 → 58

Calls

4 calls:

16.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))) b)
10.0ms	(.f64 a (.f64 c -4))
10.0ms	(+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))
9.0ms	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))

series669.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

245.0ms	(sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4))))
241.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))) b)
127.0ms	(+.f64 (.f64 b b) (.f64 a (*.f64 c -4)))
56.0ms	(.f64 a (.f64 c -4))

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5098	1198

prune146.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	70	7	77

Merged error: 11.5b

Counts

77 → 7

Compiler

Compiled 1640 to 996 computations (39.3% saved)

localize32.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
23.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
23.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
23.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite55.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_435`
9×	`sqrt-prod_binary64_429`
7×	`pow1_binary64_472` `add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
6×	`sqrt-div_binary64_430` `add-log-exp_binary64_450`
4×	`flip3--_binary64_418` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `flip--_binary64_389`
3×	`sqrt-pow1_binary64_431` `pow1/2_binary64_491` `rem-sqrt-square_binary64_427`
1×	`diff-log_binary64_503` `sub-neg_binary64_407`

Counts

4 → 56

Calls

4 calls:

10.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
9.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
9.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
9.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

series832.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
237.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
228.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
126.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

simplify102.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5020	1313

prune274.0ms (2.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	68	7	75

Merged error: 11.5b

Counts

75 → 7

Compiler

Compiled 3588 to 2130 computations (40.6% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
9.2b	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))) b)
24.1b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
24.1b	(cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite60.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_450`
6×	`add-cube-cbrt_binary64_446` `cbrt-prod_binary64_442` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
4×	`flip3--_binary64_418` `pow1_binary64_472` `cbrt-div_binary64_443` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447` `flip--_binary64_389`
2×	`diff-log_binary64_503` `sub-neg_binary64_407` `pow1/3_binary64_493`

Counts

4 → 48

Calls

4 calls:

20.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))) b)
9.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
9.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
9.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

series1.2s (12.6%)

Counts

4 → 12

Calls

4 calls:

414.0ms	(-.f64 (.f64 (fabs.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))) b)
334.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
323.0ms	(cbrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
119.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

simplify126.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4999	1644
1	4999	1644

prune171.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	60	7	67

Merged error: 11.5b

Counts

67 → 7

Compiler

Compiled 2228 to 1359 computations (39% saved)

regimes234.0ms (2.5%)

Compiler: Compiled 504 to 390 computations (22.6% saved)

bsearch210.0ms (2.2%)

Steps

Iters	Range		Point
10	2.280424095808452e+123	5.468651752235575e+139	7.001585617859764e+131
8	9.358276511716319e-94	3.542000859155614e-91	9.437780463281094e-94
9	-2.446630830708919e+159	-3.984572029981834e+151	-1.330798537410596e+154

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	102	110
1	102	110

end0.0ms (0%)

sample2.6s (28%)

Algorithm

1×

intervals

Results

565.0ms	1144×	body	2048	valid
530.0ms	5245×	body	128	valid
272.0ms	689×	body	1024	valid
235.0ms	388×	body	4096	valid
107.0ms	365×	body	512	valid
64.0ms	661×	body	128	nan
39.0ms	390×	body	128	invalid
32.0ms	169×	body	256	valid

Compiler

Compiled 258 to 190 computations (26.4% saved)

Details

analyze915.0ms (9.7%)

sample69.0ms (0.7%)

simplify406.0ms (4.3%)

prune7.0ms (0.1%)

localize22.0ms (0.2%)

rewrite58.0ms (0.6%)

series664.0ms (7%)

simplify134.0ms (1.4%)

prune191.0ms (2%)

localize23.0ms (0.2%)

rewrite56.0ms (0.6%)

series669.0ms (7.1%)

simplify123.0ms (1.3%)

prune146.0ms (1.5%)

localize32.0ms (0.3%)

rewrite55.0ms (0.6%)

series832.0ms (8.8%)

simplify102.0ms (1.1%)

prune274.0ms (2.9%)

localize30.0ms (0.3%)

rewrite60.0ms (0.6%)

series1.2s (12.6%)

simplify126.0ms (1.3%)

prune171.0ms (1.8%)

regimes234.0ms (2.5%)

bsearch210.0ms (2.2%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample2.6s (28%)

Profiling