Details

analyze70.0ms (4.4%)

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
25%	74.9%	0.1%	5
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
64%	31.2%	4.8%	8
70.2%	21.9%	7.9%	9
75.7%	15.2%	9.1%	10
78.8%	10.5%	10.6%	11
81.6%	7.5%	10.9%	12
83.1%	5.2%	11.7%	13
84.5%	3.7%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample13.0ms (0.8%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify103.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	10
1	45	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (*.f64 x y) x) y)
0.0b	(+.f64 (*.f64 x y) x)

rewrite28.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_3527`
4×	`sum-log_binary64_3579` `*-un-lft-identity_binary64_3488`
2×	`pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `add-sqr-sqrt_binary64_3510` `flip3-+_binary64_3491` `flip-+_binary64_3462` `+-commutative_binary64_3418`
1×	`distribute-lft-out_binary64_3439` `associate-+l+_binary64_3421`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
4.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 363 to 90 computations (75.2% saved)

series132.0ms (8.2%)

Error

Counts

2 → 21

Calls

2 calls:

72.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
49.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 322 to 197 computations (38.8% saved)

simplify49.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4983	484
1	4983	484

prune31.0ms (1.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	2	47

Error

Counts

47 → 2

Compiler

Compiled 455 to 254 computations (44.2% saved)

localize7.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 y 1) x)) (sqrt.f64 (*.f64 (+.f64 y 1) x))) y)
0.0b	(sqrt.f64 (*.f64 (+.f64 y 1) x))
0.0b	(sqrt.f64 (*.f64 (+.f64 y 1) x))
0.3b	(.f64 (sqrt.f64 (.f64 (+.f64 y 1) x)) (sqrt.f64 (*.f64 (+.f64 y 1) x)))

rewrite159.0ms (9.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

59×	`pow1_binary64_3549`
32×	`sqrt-pow1_binary64_3506`
22×	`pow-prod-down_binary64_3559`
18×	`associate-*l/_binary64_3431`
16×	`sqrt-div_binary64_3505`
12×	`pow1/2_binary64_3568`
10×	`pow-prod-up_binary64_3558` `add-sqr-sqrt_binary64_3510`
9×	`flip3-+_binary64_3491` `flip-+_binary64_3462`
8×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
6×	`add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `add-cbrt-cube_binary64_3524` `pow-sqr_binary64_3461` `sqrt-prod_binary64_3504`
4×	`frac-times_binary64_3498` `swap-sqr_binary64_3455` `associate-l_binary64_3429` `associate-r_binary64_3428`
2×	`associate-*r/_binary64_3430`
1×	`pow2_binary64_3569` `pow-plus_binary64_3551` `prod-exp_binary64_3537` `cbrt-unprod_binary64_3521` `sqrt-unprod_binary64_3508` `rem-square-sqrt_binary64_3500` `unswap-sqr_binary64_3456` `*-commutative_binary64_3419` `sum-log_binary64_3579` `+-commutative_binary64_3418`

Counts

4 → 94

Calls

4 calls:

18.0ms	(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 y 1) x)) (sqrt.f64 (*.f64 (+.f64 y 1) x))) y)
14.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 y 1) x)) (sqrt.f64 (*.f64 (+.f64 y 1) x)))
5.0ms	(sqrt.f64 (*.f64 (+.f64 y 1) x))
5.0ms	(sqrt.f64 (*.f64 (+.f64 y 1) x))

Compiler

Compiled 2126 to 1508 computations (29.1% saved)

series270.0ms (16.8%)

Error

Counts

4 → 38

Calls

4 calls:

78.0ms	(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 y 1) x)) (sqrt.f64 (*.f64 (+.f64 y 1) x))) y)
61.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 y 1) x)) (sqrt.f64 (*.f64 (+.f64 y 1) x)))
55.0ms	(sqrt.f64 (*.f64 (+.f64 y 1) x))
52.0ms	(sqrt.f64 (*.f64 (+.f64 y 1) x))

Compiler

Compiled 1472 to 1010 computations (31.4% saved)

simplify72.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4975	1389
1	4975	1389

prune93.0ms (5.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	132	2	134

Error

Counts

134 → 2

Compiler

Compiled 1892 to 931 computations (50.8% saved)

regimes57.0ms (3.6%)

Accuracy

Total 0.0b remaining (84.1%)

Threshold costs 0.0b (84.1%)

Compiler

Compiled 249 to 207 computations (16.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample509.0ms (31.8%)

Algorithm

1×

intervals

Results

170.0ms	7999×	body	128	valid
2.0ms	88×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 92 to 76 computations (17.4% saved)

Details

analyze70.0ms (4.4%)

sample13.0ms (0.8%)

simplify103.0ms (6.4%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite28.0ms (1.7%)

series132.0ms (8.2%)

simplify49.0ms (3.1%)

prune31.0ms (1.9%)

localize7.0ms (0.5%)

rewrite159.0ms (9.9%)

series270.0ms (16.8%)

simplify72.0ms (4.5%)

prune93.0ms (5.8%)

regimes57.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample509.0ms (31.8%)

Profiling