Details

analyze58.0ms (3.8%)

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

sample15.0ms (1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify57.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	950	9
1	950	9

prune5.0ms (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

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0)
0.1b	(.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0) y)

rewrite21.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`-un-lft-identity_binary64` `associate-l*_binary64`
6×	`associate-r_binary64` `associate-*l/_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`

Counts

2 → 43

Calls

2 calls:

11.0ms	(.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0) y)
9.0ms	(*.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0)

series13.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(.f64 (.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0) y)
5.0ms	(*.f64 (-.f64 x (/.f64 16.0 116.0)) 3.0)

simplify49.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4987	444
1	4987	444

prune76.0ms (5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (-.f64 x (/.f64 16.0 116.0)) (.f64 3.0 y))

rewrite11.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
4×	`*-un-lft-identity_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-cube-cbrt_binary64` `difference-of-squares_binary64` `associate-*l/_binary64`
1×	`add-log-exp_binary64` `flip3--_binary64` `associate-r_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

11.0ms

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 3.0 y))

series8.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 3.0 y))

simplify34.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5144	259

prune47.0ms (3.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	24	8	32

Merged error: 0b

Counts

32 → 8

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))

0.1b

(*.f64 (*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0)) y)

0.8b

(*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0))

rewrite52.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`pow1_binary64` `add-exp-log_binary64`
19×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`associate-*l/_binary64`
10×	`associate-r_binary64`
9×	`*-un-lft-identity_binary64`
8×	`associate-l_binary64`
7×	`add-cube-cbrt_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64` `cbrt-prod_binary64` `*-commutative_binary64`
2×	`difference-of-squares_binary64`
1×	`unswap-sqr_binary64` `distribute-lft-out--_binary64` `times-frac_binary64`

Counts

3 → 76

Calls

3 calls:

20.0ms

(*.f64 (*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0)) y)

16.0ms

(*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0))

13.0ms

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))

series49.0ms (3.2%)

Counts

3 → 9

Calls

3 calls:

18.0ms

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))

18.0ms

(*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0))

14.0ms

(*.f64 (*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (cbrt.f64 3.0)) y)

simplify64.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4967	847
1	4967	847

prune115.0ms (7.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	86	7	93

Merged error: 0b

Counts

93 → 7

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))

0.4b

(*.f64 (cbrt.f64 3.0) y)

0.5b

(*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (*.f64 (cbrt.f64 3.0) y))

rewrite37.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`pow1_binary64` `add-exp-log_binary64`
21×	`add-cbrt-cube_binary64`
19×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate-*l/_binary64`
5×	`associate-r_binary64`
4×	`cbrt-prod_binary64`
3×	`add-log-exp_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
1×	`distribute-lft-out--_binary64` `times-frac_binary64`

Counts

3 → 76

Calls

3 calls:

17.0ms

(*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (*.f64 (cbrt.f64 3.0) y))

13.0ms

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))

4.0ms

(*.f64 (cbrt.f64 3.0) y)

series39.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

19.0ms

(*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0)))

14.0ms

(*.f64 (*.f64 (-.f64 x (/.f64 16.0 116.0)) (*.f64 (cbrt.f64 3.0) (cbrt.f64 3.0))) (*.f64 (cbrt.f64 3.0) y))

6.0ms

(*.f64 (cbrt.f64 3.0) y)

simplify50.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5002	755

prune105.0ms (6.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes234.0ms (15.2%)

Accuracy

Total 0.2b remaining (91.2%)

Threshold costs 0.2b (91.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms (0%)

sample366.0ms (23.8%)

Algorithm

1×

intervals

Results

236.0ms	8000×	body	80	valid
2.0ms	77×	body	80	invalid

Details

analyze58.0ms (3.8%)

sample15.0ms (1%)

simplify57.0ms (3.7%)

prune5.0ms (0.3%)

localize6.0ms (0.4%)

rewrite21.0ms (1.4%)

series13.0ms (0.9%)

simplify49.0ms (3.2%)

prune76.0ms (5%)

localize6.0ms (0.4%)

rewrite11.0ms (0.7%)

series8.0ms (0.5%)

simplify34.0ms (2.2%)

prune47.0ms (3.1%)

localize9.0ms (0.6%)

rewrite52.0ms (3.3%)

series49.0ms (3.2%)

simplify64.0ms (4.1%)

prune115.0ms (7.5%)

localize9.0ms (0.6%)

rewrite37.0ms (2.4%)

series39.0ms (2.6%)

simplify50.0ms (3.3%)

prune105.0ms (6.8%)

regimes234.0ms (15.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample366.0ms (23.8%)

Profiling