Details

analyze2.1s (24.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.5%	0.5%	0
0%	99.5%	0.5%	1
0%	99.5%	0.5%	2
0%	99.5%	0.5%	3
0%	99.5%	0.5%	4
0%	99.5%	0.5%	5
0%	99.5%	0.5%	6
0%	99.5%	0.5%	7
0%	99.5%	0.5%	8
0%	99.5%	0.5%	9
0%	99.5%	0.5%	10
0%	99.5%	0.5%	11
0%	99.5%	0.5%	12
0%	99.5%	0.5%	13
0%	99.5%	0.5%	14

sample91.0ms (1%)

Algorithm

1×

intervals

Results

27.0ms	256×	body	80	valid
24.0ms	280×	body	80	invalid

simplify334.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (331.0ms)

Iter	Nodes	Cost
0	3114	29
1	3114	29

prune22.0ms (0.3%)

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

Merged error: 4.6b

Counts

2 → 2

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 j 27.0) k)
0.2b	(.f64 (.f64 x 18.0) y)
4.2b	(.f64 (.f64 (*.f64 x 18.0) y) z)
6.7b	(.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t)

rewrite31.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
22×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
12×	`associate-r_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 81

Calls

4 calls:

10.0ms	(.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t)
7.0ms	(.f64 (.f64 (*.f64 x 18.0) y) z)
5.0ms	(.f64 (.f64 x 18.0) y)
5.0ms	(.f64 (.f64 j 27.0) k)

series36.0ms (0.4%)

Counts

4 → 12

Calls

4 calls:

15.0ms	(.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t)
9.0ms	(.f64 (.f64 (*.f64 x 18.0) y) z)
7.0ms	(.f64 (.f64 j 27.0) k)
5.0ms	(.f64 (.f64 x 18.0) y)

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5551	678

prune216.0ms (2.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	84	9	93
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	85	10	95

Merged error: 1.0b

Counts

95 → 10

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 j 27.0) k)
0.2b	(.f64 (.f64 x 18.0) y)
2.8b	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18.0) y) z) (*.f64 a 4.0)))
4.2b	(.f64 (.f64 (*.f64 x 18.0) y) z)

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
12×	`associate-r_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`flip3--_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `flip--_binary64`

Counts

4 → 79

Calls

4 calls:

10.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18.0) y) z) (*.f64 a 4.0)))
7.0ms	(.f64 (.f64 (*.f64 x 18.0) y) z)
5.0ms	(.f64 (.f64 x 18.0) y)
5.0ms	(.f64 (.f64 j 27.0) k)

series52.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

34.0ms	(.f64 t (-.f64 (.f64 (.f64 (.f64 x 18.0) y) z) (*.f64 a 4.0)))
9.0ms	(.f64 (.f64 (*.f64 x 18.0) y) z)
5.0ms	(.f64 (.f64 x 18.0) y)
5.0ms	(.f64 (.f64 j 27.0) k)

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5055	792

prune212.0ms (2.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	85	6	91
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	91	10	101

Merged error: 1.0b

Counts

101 → 10

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.7b	(.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t)
14.4b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t))
14.4b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t))
14.4b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `cbrt-prod_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 51

Calls

4 calls:

12.0ms	(.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t)
7.0ms	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t))
7.0ms	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t))
7.0ms	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t))

series146.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t))
43.0ms	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t))
43.0ms	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t))
15.0ms	(.f64 (.f64 (.f64 (.f64 x 18.0) y) z) t)

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5064	680

prune205.0ms (2.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	63	10	73

Merged error: 1.0b

Counts

73 → 10

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

6.7b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 18.0) y)) (cbrt.f64 (.f64 (.f64 x 18.0) y))) (cbrt.f64 (.f64 (.f64 x 18.0) y))) z) t)
11.4b	(cbrt.f64 (.f64 (.f64 x 18.0) y))
11.4b	(cbrt.f64 (.f64 (.f64 x 18.0) y))
11.4b	(cbrt.f64 (.f64 (.f64 x 18.0) y))

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary64` `add-exp-log_binary64`
14×	`add-cbrt-cube_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64`
3×	`associate-r_binary64` `pow1/3_binary64` `cbrt-prod_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

4 → 51

Calls

4 calls:

16.0ms	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 18.0) y)) (cbrt.f64 (.f64 (.f64 x 18.0) y))) (cbrt.f64 (.f64 (.f64 x 18.0) y))) z) t)
4.0ms	(cbrt.f64 (.f64 (.f64 x 18.0) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 18.0) y))
4.0ms	(cbrt.f64 (.f64 (.f64 x 18.0) y))

series90.0ms (1%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt.f64 (.f64 (.f64 x 18.0) y))
23.0ms	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 18.0) y)) (cbrt.f64 (.f64 (.f64 x 18.0) y))) (cbrt.f64 (.f64 (.f64 x 18.0) y))) z) t)
22.0ms	(cbrt.f64 (.f64 (.f64 x 18.0) y))
21.0ms	(cbrt.f64 (.f64 (.f64 x 18.0) y))

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5075	500

prune106.0ms (1.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	63	10	73

Merged error: 1.0b

Counts

73 → 10

regimes2.4s (26.9%)

Accuracy

Total 3.2b remaining (79.5%)

Threshold costs 0b (0%)

bsearch102.0ms (1.1%)

Steps

Iters	Range		Point
8	6.885510359332803e-166	2.9502300466235537e-162	3.4508747398414224e-163
8	-2.2923010385800002e+64	-2.1860611240340117e+60	-1.82309640805326e+61

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	191	69
1	191	69

end0.0ms (0%)

sample2.3s (26%)

Algorithm

1×

intervals

Results

735.0ms	8137×	body	80	invalid
710.0ms	8000×	body	80	valid

Details

analyze2.1s (24.1%)

sample91.0ms (1%)

simplify334.0ms (3.7%)

prune22.0ms (0.3%)

localize22.0ms (0.2%)

rewrite31.0ms (0.3%)

series36.0ms (0.4%)

simplify52.0ms (0.6%)

prune216.0ms (2.4%)

localize24.0ms (0.3%)

rewrite29.0ms (0.3%)

series52.0ms (0.6%)

simplify46.0ms (0.5%)

prune212.0ms (2.4%)

localize27.0ms (0.3%)

rewrite35.0ms (0.4%)

series146.0ms (1.6%)

simplify57.0ms (0.6%)

prune205.0ms (2.3%)

localize30.0ms (0.3%)

rewrite30.0ms (0.3%)

series90.0ms (1%)

simplify50.0ms (0.6%)

prune106.0ms (1.2%)

regimes2.4s (26.9%)

bsearch102.0ms (1.1%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.3s (26%)

Profiling