Details

analyze946.0ms (19.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample39.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	80	valid
2.0ms	39×	body	80	nan
2.0ms	34×	body	80	invalid

simplify273.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (269.0ms)

Iter	Nodes	Cost
0	3717	16
1	3717	16

prune9.0ms (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

Merged error: 0.1b

Counts

2 → 1

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 0.5) b))
0.0b	(*.f64 (-.f64 a 0.5) b)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.2b	(*.f64 z (log.f64 t))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-log-exp_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `add-cube-cbrt_binary64`
10×	`sum-log_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-r_binary64`
6×	`associate--r+_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `associate-*l/_binary64`
4×	`frac-add_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate--l+_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `log-pow_binary64` `associate-+l-_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 88

Calls

4 calls:

13.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 0.5) b))
10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
7.0ms	(*.f64 (-.f64 a 0.5) b)
5.0ms	(*.f64 z (log.f64 t))

series78.0ms (1.6%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 0.5) b))
14.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
9.0ms	(*.f64 z (log.f64 t))
8.0ms	(*.f64 (-.f64 a 0.5) b)

simplify32.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5444	1311

prune150.0ms (3.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	5	101

Merged error: 0.0b

Counts

101 → 5

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow1/3_binary64`
2×	`log-pow_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 96

Calls

4 calls:

9.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
5.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series90.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

26.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
25.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
20.0ms	(cbrt.f64 t)
19.0ms	(cbrt.f64 t)

simplify41.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5306	858

prune153.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(.f64 z (.f64 (log.f64 t) 2/3))
0.4b	(*.f64 (log.f64 t) 2/3)
0.5b	(cbrt.f64 t)

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`pow1_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`log-prod_binary64`
10×	`associate-l_binary64`
9×	`associate-r_binary64` `cbrt-prod_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`log-pow_binary64` `*-commutative_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64`

Counts

4 → 80

Calls

4 calls:

5.0ms	(.f64 z (.f64 (log.f64 t) 2/3))
5.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
4.0ms	(*.f64 (log.f64 t) 2/3)
1.0ms	(cbrt.f64 t)

series68.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
20.0ms	(cbrt.f64 t)
14.0ms	(*.f64 (log.f64 t) 2/3)
10.0ms	(.f64 z (.f64 (log.f64 t) 2/3))

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5067	580

prune125.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (-.f64 a 0.5) b)) (cbrt.f64 (*.f64 (-.f64 a 0.5) b)))
0.5b	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))
0.5b	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))
0.5b	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*l/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-*r/_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 a 0.5) b)) (cbrt.f64 (*.f64 (-.f64 a 0.5) b)))
5.0ms	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))
5.0ms	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))
5.0ms	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))

series87.0ms (1.8%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(.f64 (cbrt.f64 (.f64 (-.f64 a 0.5) b)) (cbrt.f64 (*.f64 (-.f64 a 0.5) b)))
21.0ms	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))
19.0ms	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))
19.0ms	(cbrt.f64 (*.f64 (-.f64 a 0.5) b))

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5302	982

prune123.0ms (2.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	84	6	90

Merged error: 0.0b

Counts

90 → 6

regimes1.3s (26.7%)

Accuracy

Total 0.1b remaining (71%)

Threshold costs 0.1b (71%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	96	24
1	96	24

end0.0ms (0%)

sample976.0ms (20.5%)

Algorithm

1×

intervals

Results

484.0ms	8000×	body	80	valid
72.0ms	1199×	body	80	invalid
62.0ms	1195×	body	80	nan

Details

analyze946.0ms (19.9%)

sample39.0ms (0.8%)

simplify273.0ms (5.7%)

prune9.0ms (0.2%)

localize13.0ms (0.3%)

rewrite36.0ms (0.8%)

series78.0ms (1.6%)

simplify32.0ms (0.7%)

prune150.0ms (3.1%)

localize18.0ms (0.4%)

rewrite20.0ms (0.4%)

series90.0ms (1.9%)

simplify41.0ms (0.9%)

prune153.0ms (3.2%)

localize21.0ms (0.4%)

rewrite19.0ms (0.4%)

series68.0ms (1.4%)

simplify55.0ms (1.2%)

prune125.0ms (2.6%)

localize17.0ms (0.4%)

rewrite26.0ms (0.5%)

series87.0ms (1.8%)

simplify65.0ms (1.4%)

prune123.0ms (2.6%)

regimes1.3s (26.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample976.0ms (20.5%)

Profiling