Details

analyze2.2s (22.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 16 to 16 computations (0% saved)

sample49.0ms (0.5%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
9.0ms	183×	body	128	invalid

Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

prune5.0ms (0%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 30 to 30 computations (0% saved)

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_2504`
10×	`sum-log_binary64_2556`
3×	`flip3-+_binary64_2468` `*-un-lft-identity_binary64_2465` `+-commutative_binary64_2395` `flip-+_binary64_2439` `add-cube-cbrt_binary64_2500` `add-exp-log_binary64_2503` `add-sqr-sqrt_binary64_2487` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
2×	`associate-+l+_binary64_2398`

Counts

3 → 38

Calls

3 calls:

13.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
8.0ms	(+.f64 (.f64 x y) (.f64 z t))

series481.0ms (4.9%)

Counts

3 → 9

Calls

3 calls:

333.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
86.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
62.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify113.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5206	1004

prune84.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Error

0.0b

Counts

48 → 3

Compiler

Compiled 1074 to 184 computations (82.9% saved)

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

rewrite79.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_2496`
23×	`add-sqr-sqrt_binary64_2487`
18×	`cbrt-div_binary64_2497`
15×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
11×	`pow1_binary64_2526`
9×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `pow1/3_binary64_2547`
6×	`swap-sqr_binary64_2432` `add-exp-log_binary64_2503` `associate-r_binary64_2405` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `frac-times_binary64_2475` `unswap-sqr_binary64_2433` `add-cbrt-cube_binary64_2501`
2×	`associate-l/_binary64_2408` `associate-r/_binary64_2407` `pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `pow2_binary64_2546` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`

Counts

4 → 87

Calls

4 calls:

33.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
11.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
10.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
10.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

series1.0s (10.2%)

Counts

4 → 12

Calls

4 calls:

418.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
231.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
183.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
172.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

simplify109.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4946	3006
1	4946	3006

prune171.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Error

0.0b

Counts

102 → 4

Compiler

Compiled 4975 to 608 computations (87.8% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

rewrite62.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_2496`
8×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `cbrt-div_binary64_2497` `add-sqr-sqrt_binary64_2487`
4×	`flip3-+_binary64_2468` `add-log-exp_binary64_2504` `flip-+_binary64_2439` `add-exp-log_binary64_2503` `pow1/3_binary64_2547` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`

Counts

4 → 52

Calls

4 calls:

12.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
11.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
11.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
7.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

series978.0ms (10%)

Counts

4 → 12

Calls

4 calls:

303.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
235.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
225.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
215.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4968	1700
1	4968	1700

prune191.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	64	4	68

Error

0.0b

Counts

68 → 4

Compiler

Compiled 4448 to 614 computations (86.2% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_2496`
8×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500` `cbrt-div_binary64_2497` `add-sqr-sqrt_binary64_2487`
4×	`flip3-+_binary64_2468` `add-log-exp_binary64_2504` `flip-+_binary64_2439` `add-exp-log_binary64_2503` `pow1/3_binary64_2547` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`

Counts

4 → 52

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

series953.0ms (9.7%)

Counts

4 → 12

Calls

4 calls:

288.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
238.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
216.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
211.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))

simplify106.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4968	1700
1	4968	1700

prune160.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Error

0.0b

Counts

68 → 4

Compiler

Compiled 6124 to 691 computations (88.7% saved)

regimes605.0ms (6.2%)

Accuracy

Total 0.0b remaining (42%)

Threshold costs 0.0b (42%)

Compiler

Compiled 6061 to 3458 computations (42.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms (0%)

sample2.0s (20.8%)

Algorithm

1×

intervals

Results

524.0ms	8000×	body	128	valid
370.0ms	5734×	body	128	invalid

Compiler

Compiled 428 to 251 computations (41.4% saved)

Details

analyze2.2s (22.1%)

sample49.0ms (0.5%)

simplify138.0ms (1.4%)

prune5.0ms (0%)

localize24.0ms (0.2%)

rewrite34.0ms (0.3%)

series481.0ms (4.9%)

simplify113.0ms (1.1%)

prune84.0ms (0.9%)

localize33.0ms (0.3%)

rewrite79.0ms (0.8%)

series1.0s (10.2%)

simplify109.0ms (1.1%)

prune171.0ms (1.7%)

localize22.0ms (0.2%)

rewrite62.0ms (0.6%)

series978.0ms (10%)

simplify111.0ms (1.1%)

prune191.0ms (1.9%)

localize53.0ms (0.5%)

rewrite36.0ms (0.4%)

series953.0ms (9.7%)

simplify106.0ms (1.1%)

prune160.0ms (1.6%)

regimes605.0ms (6.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.0s (20.8%)

Profiling