Details

analyze365.0ms (24.4%)

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%	99.9%	0.1%	5
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

sample18.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify17.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	345	9
1	345	9

prune6.0ms (0.4%)

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: 0.0b

Counts

2 → 1

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 33

Calls

2 calls:

7.0ms	(*.f64 (-.f64 x 1.0) z)
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1.0) z))

series15.0ms (1%)

Counts

2 → 6

Calls

2 calls:

9.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1.0) z))
5.0ms	(*.f64 (-.f64 x 1.0) z)

simplify47.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5186	345

prune47.0ms (3.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (cbrt.f64 (pow.f64 (.f64 (-.f64 x 1.0) z) 3)))
0.0b	(*.f64 (-.f64 x 1.0) z)
0.1b	(pow.f64 (*.f64 (-.f64 x 1.0) z) 3)
37.4b	(cbrt.f64 (pow.f64 (*.f64 (-.f64 x 1.0) z) 3))

rewrite25.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-*l/_binary64`
5×	`associate-l_binary64`
4×	`cube-div_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 76

Calls

4 calls:

7.0ms	(*.f64 (-.f64 x 1.0) z)
7.0ms	(pow.f64 (*.f64 (-.f64 x 1.0) z) 3)
6.0ms	(+.f64 (.f64 x y) (cbrt.f64 (pow.f64 (.f64 (-.f64 x 1.0) z) 3)))
3.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 x 1.0) z) 3))

series31.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

9.0ms	(+.f64 (.f64 x y) (cbrt.f64 (pow.f64 (.f64 (-.f64 x 1.0) z) 3)))
9.0ms	(pow.f64 (*.f64 (-.f64 x 1.0) z) 3)
7.0ms	(cbrt.f64 (pow.f64 (*.f64 (-.f64 x 1.0) z) 3))
5.0ms	(*.f64 (-.f64 x 1.0) z)

simplify39.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4970	749
1	4970	749

prune95.0ms (6.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0.0b

Counts

91 → 3

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (*.f64 (-.f64 x 1.0) (sqrt.f64 z)) (sqrt.f64 z)))
0.1b	(*.f64 (-.f64 x 1.0) (sqrt.f64 z))
0.2b	(.f64 (.f64 (-.f64 x 1.0) (sqrt.f64 z)) (sqrt.f64 z))

rewrite25.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`
7×	`sqrt-prod_binary64`
6×	`associate-l_binary64` `associate-*l/_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 60

Calls

3 calls:

10.0ms	(.f64 (.f64 (-.f64 x 1.0) (sqrt.f64 z)) (sqrt.f64 z))
8.0ms	(*.f64 (-.f64 x 1.0) (sqrt.f64 z))
5.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 (-.f64 x 1.0) (sqrt.f64 z)) (sqrt.f64 z)))

series30.0ms (2%)

Counts

3 → 9

Calls

3 calls:

15.0ms	(+.f64 (.f64 x y) (.f64 (*.f64 (-.f64 x 1.0) (sqrt.f64 z)) (sqrt.f64 z)))
8.0ms	(.f64 (.f64 (-.f64 x 1.0) (sqrt.f64 z)) (sqrt.f64 z))
7.0ms	(*.f64 (-.f64 x 1.0) (sqrt.f64 z))

simplify50.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4992	619
1	4992	619

prune68.0ms (4.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Merged error: 0.0b

Counts

72 → 3

regimes170.0ms (11.4%)

Accuracy

Total 0.0b remaining (11%)

Threshold costs 0.0b (11%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	9
1	21	9

end0.0ms (0%)

sample413.0ms (27.6%)

Algorithm

1×

intervals

Results

226.0ms	8000×	body	80	valid
18.0ms	675×	body	80	invalid

Details

analyze365.0ms (24.4%)

sample18.0ms (1.2%)

simplify17.0ms (1.1%)

prune6.0ms (0.4%)

localize6.0ms (0.4%)

rewrite12.0ms (0.8%)

series15.0ms (1%)

simplify47.0ms (3.1%)

prune47.0ms (3.1%)

localize9.0ms (0.6%)

rewrite25.0ms (1.6%)

series31.0ms (2.1%)

simplify39.0ms (2.6%)

prune95.0ms (6.4%)

localize8.0ms (0.5%)

rewrite25.0ms (1.7%)

series30.0ms (2%)

simplify50.0ms (3.4%)

prune68.0ms (4.6%)

regimes170.0ms (11.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample413.0ms (27.6%)

Profiling