Details

analyze504.0ms (10.9%)

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
0%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample15.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	234×	body	128	valid
1.0ms	8×	body	1024	valid
0.0ms	7×	body	512	valid
0.0ms	4×	body	2048	valid
0.0ms	3×	body	256	valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	148	13
1	148	13

prune5.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 38 to 32 computations (15.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

series40.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

40.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5313	299

prune43.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	12	5	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	6	18

Merged error: 0.1b

Counts

18 → 6

Compiler

Compiled 755 to 511 computations (32.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
0.0b	(+.f64 x (*.f64 (+.f64 x y) 2))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)
4.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))

series78.0ms (1.7%)

Counts

2 → 6

Calls

2 calls:

43.0ms	(+.f64 x (*.f64 (+.f64 x y) 2))
35.0ms	(+.f64 (+.f64 x (*.f64 (+.f64 x y) 2)) z)

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4845	511
1	4845	511

prune57.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	32	5	37

Merged error: 0.1b

Counts

37 → 5

Compiler

Compiled 1062 to 676 computations (36.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

11.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
5.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

series1.2s (25.9%)

Counts

4 → 12

Calls

4 calls:

353.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 (+.f64 x y) 2))) (cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2))))
288.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
284.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
276.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

simplify101.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4873	2249
1	4873	2249

prune236.0ms (5.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	95	9	104

Merged error: 0.0b

Counts

104 → 9

Compiler

Compiled 5097 to 3131 computations (38.6% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
0.6b	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

series1.1s (23.1%)

Counts

4 → 12

Calls

4 calls:

277.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
276.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
265.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))
254.0ms	(cbrt.f64 (+.f64 x (*.f64 (+.f64 x y) 2)))

simplify84.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4873	1304
1	4873	1304

prune178.0ms (3.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	64	9	73

Merged error: 0.0b

Counts

73 → 9

Compiler

Compiled 3774 to 2447 computations (35.2% saved)

regimes81.0ms (1.7%)

Compiler: Compiled 894 to 621 computations (30.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample690.0ms (14.9%)

Algorithm

1×

intervals

Results

211.0ms	7427×	body	128	valid
21.0ms	190×	body	1024	valid
18.0ms	202×	body	512	valid
10.0ms	82×	body	2048	valid
8.0ms	99×	body	256	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 317 to 221 computations (30.3% saved)

Details

analyze504.0ms (10.9%)

sample15.0ms (0.3%)

simplify10.0ms (0.2%)

prune5.0ms (0.1%)

localize6.0ms (0.1%)

rewrite10.0ms (0.2%)

series40.0ms (0.9%)

simplify59.0ms (1.3%)

prune43.0ms (0.9%)

localize6.0ms (0.1%)

rewrite12.0ms (0.3%)

series78.0ms (1.7%)

simplify65.0ms (1.4%)

prune57.0ms (1.2%)

localize10.0ms (0.2%)

rewrite33.0ms (0.7%)

series1.2s (25.9%)

simplify101.0ms (2.2%)

prune236.0ms (5.1%)

localize19.0ms (0.4%)

rewrite21.0ms (0.5%)

series1.1s (23.1%)

simplify84.0ms (1.8%)

prune178.0ms (3.8%)

regimes81.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample690.0ms (14.9%)

Profiling