Details

analyze205.0ms (8.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	11	18
0	2	2
1	2	2

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
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	50%	6.3%	6
43.7%	43.7%	12.6%	7
59.3%	26.5%	14.1%	8
59.3%	22.6%	18%	9
67.1%	13.7%	19.2%	10
67.1%	11.5%	21.4%	11
71%	6.9%	22%	12
71%	5.8%	23.2%	13
73%	3.5%	23.5%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample25.0ms (1%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	11×	body	128	nan

Compiler

Compiled 13 to 13 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

prune2.0ms (0.1%)

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

20.3b

Counts

2 → 1

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x x) y)
18.9b	(sqrt.f64 (+.f64 (*.f64 x x) y))

rewrite34.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

20.3b

Rules

4×	`add-log-exp_binary64_13075` `add-sqr-sqrt_binary64_13058`
3×	`pow1_binary64_13097` `add-cube-cbrt_binary64_13071` `sqrt-prod_binary64_13052` `*-un-lft-identity_binary64_13036`
2×	`add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072` `flip3-+_binary64_13039` `sqrt-div_binary64_13053` `flip-+_binary64_13010`
1×	`pow1/2_binary64_13116` `sqrt-pow1_binary64_13054` `rem-sqrt-square_binary64_13049` `sum-log_binary64_13127` `+-commutative_binary64_12966`

Counts

2 → 26

Calls

2 calls:

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

Compiler

Compiled 355 to 89 computations (74.9% saved)

series176.0ms (7.2%)

Error

0.0b

Counts

2 → 26

Calls

2 calls:

84.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
74.0ms	(+.f64 (*.f64 x x) y)

Compiler

Compiled 498 to 410 computations (17.7% saved)

simplify36.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4963	546
1	4963	546

prune31.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	4	53

Error

0.0b

Counts

53 → 4

Compiler

Compiled 493 to 164 computations (66.7% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

18.9b	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 y (.f64 x x))) (cbrt.f64 (+.f64 y (.f64 x x)))) (cbrt.f64 (+.f64 y (*.f64 x x)))))
19.7b	(cbrt.f64 (+.f64 y (*.f64 x x)))
19.7b	(cbrt.f64 (+.f64 y (*.f64 x x)))
19.7b	(cbrt.f64 (+.f64 y (*.f64 x x)))

rewrite158.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

60×	`cbrt-div_binary64_13068`
30×	`flip3-+_binary64_13039` `flip-+_binary64_13010`
28×	`frac-times_binary64_13046`
26×	`sqrt-div_binary64_13053`
24×	`pow1_binary64_13097`
15×	`sqrt-pow1_binary64_13054`
14×	`associate-*l/_binary64_12979`
12×	`pow1/3_binary64_13118`
9×	`cbrt-prod_binary64_13067` `pow-prod-up_binary64_13106`
8×	`associate-*r/_binary64_12978`
7×	`add-cube-cbrt_binary64_13071` `add-sqr-sqrt_binary64_13058` `*-un-lft-identity_binary64_13036`
6×	`pow-plus_binary64_13099`
5×	`pow-prod-down_binary64_13107`
4×	`add-log-exp_binary64_13075` `add-exp-log_binary64_13074` `add-cbrt-cube_binary64_13072`
3×	`pow-sqr_binary64_13009`
2×	`pow2_binary64_13117`
1×	`pow1/2_binary64_13116` `pow3_binary64_13119` `sqrt-prod_binary64_13052`

Counts

4 → 89

Calls

4 calls:

19.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 y (.f64 x x))) (cbrt.f64 (+.f64 y (.f64 x x)))) (cbrt.f64 (+.f64 y (*.f64 x x)))))
5.0ms	(cbrt.f64 (+.f64 y (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 y (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 y (*.f64 x x)))

Compiler

Compiled 3257 to 588 computations (81.9% saved)

series572.0ms (23.4%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

153.0ms	(cbrt.f64 (+.f64 y (*.f64 x x)))
145.0ms	(cbrt.f64 (+.f64 y (*.f64 x x)))
136.0ms	(cbrt.f64 (+.f64 y (*.f64 x x)))
93.0ms	(sqrt.f64 (.f64 (.f64 (cbrt.f64 (+.f64 y (.f64 x x))) (cbrt.f64 (+.f64 y (.f64 x x)))) (cbrt.f64 (+.f64 y (*.f64 x x)))))

Compiler

Compiled 2862 to 1816 computations (36.5% saved)

simplify116.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4923	2969
1	4923	2969

prune139.0ms (5.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	136	4	140

Error

0.0b

Counts

140 → 4

Compiler

Compiled 3371 to 976 computations (71% saved)

localize9.0ms (0.4%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series1.0ms (0%)

Error: 0.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

0.0b

Counts

4 → 4

Compiler

Compiled 1 to 2 computations (-100% saved)

localize1.0ms (0%)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series1.0ms (0%)

Error: 0.0b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify11.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Error

0.0b

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes167.0ms (6.8%)

Accuracy

Total 0.1b remaining (94.6%)

Threshold costs 0.1b (94.6%)

Compiler

Compiled 654 to 409 computations (37.5% saved)

bsearch29.0ms (1.2%)

Steps

Iters	Range		Point
7	2.0107352593196325e+110	3.7184339992157633e+111	3.678899280452693e+111
9	-3.941421055227814e+154	-1.4017346459640663e+148	-1.3326463043900548e+154

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	32
1	29	32

end0.0ms (0%)

sample697.0ms (28.5%)

Algorithm

1×

intervals

Results

251.0ms	8000×	body	128	valid
5.0ms	173×	body	128	nan

Compiler

Compiled 158 to 104 computations (34.2% saved)

Details

analyze205.0ms (8.4%)

sample25.0ms (1%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite34.0ms (1.4%)

series176.0ms (7.2%)

simplify36.0ms (1.5%)

prune31.0ms (1.3%)

localize9.0ms (0.4%)

rewrite158.0ms (6.5%)

series572.0ms (23.4%)

simplify116.0ms (4.7%)

prune139.0ms (5.7%)

localize9.0ms (0.4%)

rewrite1.0ms (0%)

series1.0ms (0%)

simplify13.0ms (0.5%)

prune2.0ms (0.1%)

localize1.0ms (0%)

rewrite1.0ms (0%)

series1.0ms (0%)

simplify11.0ms (0.4%)

prune0.0ms (0%)

regimes167.0ms (6.8%)

bsearch29.0ms (1.2%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample697.0ms (28.5%)

Profiling