Details

analyze480.0ms (11.1%)

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%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
10.9%	45.6%	43.4%	10
18.3%	31.4%	50.3%	11
19.1%	29.5%	51.3%	12
21.4%	24.8%	53.8%	13
25.8%	16.7%	57.5%	14

sample35.0ms (0.8%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	80	valid
2.0ms	26×	body	80	invalid
1.0ms	21×	body	80	nan

simplify130.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	5577	24

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 7.5b

Counts

2 → 1

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 0.5) (log.f64 x)) x) 0.91893853320467)
0.2b	(*.f64 (-.f64 x 0.5) (log.f64 x))
0.2b	(-.f64 (*.f64 (-.f64 x 0.5) (log.f64 x)) x)
6.9b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite253.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
20×	`add-cube-cbrt_binary64`
18×	`log-prod_binary64`
12×	`associate--l+_binary64`
11×	`add-log-exp_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64` `associate-+l+_binary64`
5×	`associate-l_binary64`
4×	`associate-r_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `flip-+_binary64` `associate-*l/_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `*-commutative_binary64`

Counts

4 → 96

Calls

4 calls:

221.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 0.5) (log.f64 x)) x) 0.91893853320467)
13.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
8.0ms	(-.f64 (*.f64 (-.f64 x 0.5) (log.f64 x)) x)
8.0ms	(*.f64 (-.f64 x 0.5) (log.f64 x))

series120.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 0.5) (log.f64 x)) x) 0.91893853320467)
33.0ms	(-.f64 (*.f64 (-.f64 x 0.5) (log.f64 x)) x)
29.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
21.0ms	(*.f64 (-.f64 x 0.5) (log.f64 x))

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5016	1424

prune231.0ms (5.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	98	10	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	10	109

Merged error: 4.3b

Counts

109 → 10

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
6.9b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64` `cbrt-prod_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r_binary64` `pow1/3_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

4 → 62

Calls

4 calls:

13.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series92.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
20.0ms	(cbrt.f64 x)
20.0ms	(cbrt.f64 x)
20.0ms	(cbrt.f64 x)

simplify38.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4949	763
1	4949	763

prune168.0ms (3.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	74	10	84

Merged error: 4.3b

Counts

84 → 10

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (-.f64 x 0.5) (.f64 2 (log.f64 (cbrt.f64 x)))) (*.f64 (-.f64 x 0.5) (log.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
6.9b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite38.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
26×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`associate-+l+_binary64` `cbrt-prod_binary64`
12×	`associate-+r+_binary64`
9×	`times-frac_binary64`
8×	`associate-*l/_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `flip3--_binary64` `frac-add_binary64` `flip--_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `pow1/3_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 103

Calls

4 calls:

17.0ms	(+.f64 (.f64 (-.f64 x 0.5) (.f64 2 (log.f64 (cbrt.f64 x)))) (*.f64 (-.f64 x 0.5) (log.f64 (cbrt.f64 x))))
13.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series183.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(+.f64 (.f64 (-.f64 x 0.5) (.f64 2 (log.f64 (cbrt.f64 x)))) (*.f64 (-.f64 x 0.5) (log.f64 (cbrt.f64 x))))
34.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
20.0ms	(cbrt.f64 x)
20.0ms	(cbrt.f64 x)

simplify59.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5880	1434

prune262.0ms (6.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	115	10	125

Merged error: 4.3b

Counts

125 → 10

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 (log.f64 (cbrt.f64 x)) (-.f64 (.f64 x 3) 1.5)) x)
0.4b	(.f64 (log.f64 (cbrt.f64 x)) (-.f64 (.f64 x 3) 1.5))
0.6b	(cbrt.f64 x)
6.9b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64`
5×	`sub-neg_binary64` `associate-l_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-/l_binary64` `cbrt-prod_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-*r/_binary64` `pow1/3_binary64` `log-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
8.0ms	(-.f64 (.f64 (log.f64 (cbrt.f64 x)) (-.f64 (.f64 x 3) 1.5)) x)
8.0ms	(.f64 (log.f64 (cbrt.f64 x)) (-.f64 (.f64 x 3) 1.5))
1.0ms	(cbrt.f64 x)

series228.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

113.0ms	(-.f64 (.f64 (log.f64 (cbrt.f64 x)) (-.f64 (.f64 x 3) 1.5)) x)
67.0ms	(.f64 (log.f64 (cbrt.f64 x)) (-.f64 (.f64 x 3) 1.5))
28.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
20.0ms	(cbrt.f64 x)

simplify82.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4924	1184
1	4924	1184

prune149.0ms (3.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	89	10	99

Merged error: 4.3b

Counts

99 → 10

regimes601.0ms (13.9%)

Accuracy

Total 0.3b remaining (7.2%)

Threshold costs 0.3b (7.2%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	119	78
1	119	78

end0.0ms (0%)

sample963.0ms (22.3%)

Algorithm

1×

intervals

Results

581.0ms	8000×	body	80	valid
94.0ms	1262×	body	80	invalid
50.0ms	718×	body	80	nan

Details

analyze480.0ms (11.1%)

sample35.0ms (0.8%)

simplify130.0ms (3%)

prune8.0ms (0.2%)

localize16.0ms (0.4%)

rewrite253.0ms (5.9%)

series120.0ms (2.8%)

simplify49.0ms (1.1%)

prune231.0ms (5.4%)

localize25.0ms (0.6%)

rewrite19.0ms (0.4%)

series92.0ms (2.1%)

simplify38.0ms (0.9%)

prune168.0ms (3.9%)

localize23.0ms (0.5%)

rewrite38.0ms (0.9%)

series183.0ms (4.3%)

simplify59.0ms (1.4%)

prune262.0ms (6.1%)

localize20.0ms (0.5%)

rewrite35.0ms (0.8%)

series228.0ms (5.3%)

simplify82.0ms (1.9%)

prune149.0ms (3.5%)

regimes601.0ms (13.9%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample963.0ms (22.3%)

Profiling