Details

analyze184.0ms (7.3%)

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%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample22.0ms (0.9%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	13×	body	80	invalid
0.0ms	6×	body	80	nan

simplify141.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

Iter	Nodes	Cost
0	4855	12
1	4855	12

prune6.0ms (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: 0.1b

Counts

2 → 1

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 1.0 z) (log.f64 z))
0.0b	(+.f64 (.f64 x 0.5) (.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z))))
0.2b	(*.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z)))

rewrite26.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `distribute-lft-out_binary64` `add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+r+_binary64`
4×	`log-pow_binary64` `distribute-lft-out--_binary64`
3×	`flip3-+_binary64` `log-prod_binary64` `associate-l_binary64` `flip-+_binary64` `sum-log_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 60

Calls

3 calls:

10.0ms	(*.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z)))
8.0ms	(+.f64 (-.f64 1.0 z) (log.f64 z))
6.0ms	(+.f64 (.f64 x 0.5) (.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z))))

series47.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

18.0ms	(*.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z)))
17.0ms	(+.f64 (.f64 x 0.5) (.f64 y (+.f64 (-.f64 1.0 z) (log.f64 z))))
12.0ms	(+.f64 (-.f64 1.0 z) (log.f64 z))

simplify48.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5055	687

prune102.0ms (4.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Merged error: 0b

Counts

70 → 6

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 1.0 z))
0.0b	(+.f64 (.f64 x 0.5) (+.f64 (.f64 y (-.f64 1.0 z)) (*.f64 y (log.f64 z))))
0.2b	(+.f64 (.f64 y (-.f64 1.0 z)) (.f64 y (log.f64 z)))
0.3b	(*.f64 y (log.f64 z))

rewrite32.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `add-cube-cbrt_binary64`
11×	`add-log-exp_binary64`
9×	`pow1_binary64` `associate-r_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
7×	`associate-+r+_binary64`
6×	`associate-l_binary64`
4×	`sub-neg_binary64` `sum-log_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 82

Calls

4 calls:

9.0ms	(+.f64 (.f64 x 0.5) (+.f64 (.f64 y (-.f64 1.0 z)) (*.f64 y (log.f64 z))))
8.0ms	(+.f64 (.f64 y (-.f64 1.0 z)) (.f64 y (log.f64 z)))
7.0ms	(*.f64 y (-.f64 1.0 z))
5.0ms	(*.f64 y (log.f64 z))

series50.0ms (2%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(+.f64 (.f64 y (-.f64 1.0 z)) (.f64 y (log.f64 z)))
16.0ms	(+.f64 (.f64 x 0.5) (+.f64 (.f64 y (-.f64 1.0 z)) (*.f64 y (log.f64 z))))
10.0ms	(*.f64 y (log.f64 z))
6.0ms	(*.f64 y (-.f64 1.0 z))

simplify57.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4942	841
1	4942	841

prune121.0ms (4.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 0b

Counts

100 → 6

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 (log.f64 (cbrt.f64 z)) 2) (-.f64 1.0 z)))
0.2b	(*.f64 y (log.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite20.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`log-prod_binary64` `cbrt-prod_binary64`
9×	`pow1_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 76

Calls

4 calls:

10.0ms	(.f64 y (+.f64 (.f64 (log.f64 (cbrt.f64 z)) 2) (-.f64 1.0 z)))
5.0ms	(*.f64 y (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series101.0ms (4%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(.f64 y (+.f64 (.f64 (log.f64 (cbrt.f64 z)) 2) (-.f64 1.0 z)))
24.0ms	(*.f64 y (log.f64 (cbrt.f64 z)))
18.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)

simplify36.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5719	683

prune116.0ms (4.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	88	6	94

Merged error: 0b

Counts

94 → 6

localize14.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1.0 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.2b	(+.f64 (+.f64 (-.f64 1.0 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite28.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
9×	`cbrt-prod_binary64`
8×	`pow1_binary64`
6×	`log-prod_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+r+_binary64`
5×	`associate-r_binary64` `sum-log_binary64`
4×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `pow1/3_binary64` `log-pow_binary64` `associate-+l-_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `*-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

13.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1.0 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
11.0ms	(+.f64 (+.f64 (-.f64 1.0 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series124.0ms (5%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(+.f64 (+.f64 (-.f64 1.0 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
41.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1.0 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
19.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)

simplify45.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4955	636
1	4955	636

prune93.0ms (3.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	81	6	87

Merged error: 0b

Counts

87 → 6

regimes483.0ms (19.3%)

Accuracy

Total 0.1b remaining (85.7%)

Threshold costs 0.1b (85.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	21
1	33	21

end0.0ms (0%)

sample571.0ms (22.8%)

Algorithm

1×

intervals

Results

376.0ms	8000×	body	80	valid
13.0ms	300×	body	80	invalid
3.0ms	65×	body	80	nan

Details

analyze184.0ms (7.3%)

sample22.0ms (0.9%)

simplify141.0ms (5.6%)

prune6.0ms (0.3%)

localize10.0ms (0.4%)

rewrite26.0ms (1%)

series47.0ms (1.9%)

simplify48.0ms (1.9%)

prune102.0ms (4.1%)

localize11.0ms (0.4%)

rewrite32.0ms (1.3%)

series50.0ms (2%)

simplify57.0ms (2.3%)

prune121.0ms (4.8%)

localize15.0ms (0.6%)

rewrite20.0ms (0.8%)

series101.0ms (4%)

simplify36.0ms (1.5%)

prune116.0ms (4.6%)

localize14.0ms (0.6%)

rewrite28.0ms (1.1%)

series124.0ms (5%)

simplify45.0ms (1.8%)

prune93.0ms (3.7%)

regimes483.0ms (19.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample571.0ms (22.8%)

Profiling