Details

analyze471.0ms (15.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample28.0ms (0.9%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify14.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

prune6.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize12.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.5b	(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
14×	`sqrt-prod_binary64`
10×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64`
6×	`associate-r_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64`
4×	`unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `difference-of-squares_binary64` `sqrt-div_binary64` `associate-*l/_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `difference-of-sqr-1_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 36

Calls

1 calls:

24.0ms

(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series80.0ms (2.6%)

Counts

1 → 6

Calls

1 calls:

79.0ms

(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 70 to 61 computations (12.9% saved)

simplify168.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4856	553
1	4856	553

prune83.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	3	43

Error

Counts

43 → 3

Compiler

Compiled 515 to 334 computations (35.1% saved)

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 x 1))
0.5b	(cbrt.f64 (-.f64 x 1))
0.5b	(cbrt.f64 (-.f64 x 1))
0.5b	(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))

rewrite73.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`cbrt-prod_binary64`
55×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
16×	`difference-of-squares_binary64`
15×	`add-cube-cbrt_binary64`
14×	`swap-sqr_binary64`
11×	`pow1_binary64`
10×	`associate-r_binary64` `associate-l_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `difference-of-sqr-1_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 115

Calls

4 calls:

29.0ms	(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
7.0ms	(cbrt.f64 (-.f64 x 1))
7.0ms	(cbrt.f64 (-.f64 x 1))
7.0ms	(cbrt.f64 (-.f64 x 1))

series416.0ms (13.6%)

Counts

4 → 27

Calls

4 calls:

169.0ms	(*.f64 (cbrt.f64 (-.f64 x 1)) (cbrt.f64 (-.f64 x 1)))
84.0ms	(cbrt.f64 (-.f64 x 1))
83.0ms	(cbrt.f64 (-.f64 x 1))
79.0ms	(cbrt.f64 (-.f64 x 1))

Compiler

Compiled 1009 to 888 computations (12% saved)

simplify102.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5022	2292

prune341.0ms (11.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	142	3	145

Error

Counts

145 → 3

Compiler

Compiled 3567 to 2638 computations (26% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes78.0ms (2.5%)

Accuracy

Total 0.5b remaining (99.9%)

Threshold costs 0.5b (99.9%)

Compiler

Compiled 392 to 310 computations (20.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	11
1	18	11

end0.0ms (0%)

sample1.1s (36.6%)

Algorithm

1×

intervals

Results

450.0ms	8000×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 203 to 162 computations (20.2% saved)

Details

analyze471.0ms (15.4%)

sample28.0ms (0.9%)

simplify14.0ms (0.5%)

prune6.0ms (0.2%)

localize12.0ms (0.4%)

rewrite30.0ms (1%)

series80.0ms (2.6%)

simplify168.0ms (5.5%)

prune83.0ms (2.7%)

localize19.0ms (0.6%)

rewrite73.0ms (2.4%)

series416.0ms (13.6%)

simplify102.0ms (3.3%)

prune341.0ms (11.1%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify12.0ms (0.4%)

prune2.0ms (0.1%)

regimes78.0ms (2.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (36.6%)

Profiling