Details

analyze292.0ms (14.5%)

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
45.2%	51.1%	3.7%	10
57.7%	33.5%	8.7%	11
59.7%	29.4%	10.9%	12
62%	25%	13%	13
68.3%	17.4%	14.4%	14

sample19.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	236×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	18×	body	80	invalid
1.0ms	5×	body	640	valid
0.0ms	6×	body	320	valid
0.0ms	4×	body	160	valid

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	42	7
1	42	7

prune9.0ms (0.5%)

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 → 2

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 d1 3.0) (.f64 d1 d2))
0.0b	(+.f64 (+.f64 (.f64 d1 3.0) (.f64 d1 d2)) (*.f64 d1 d3))

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
3×	`distribute-lft-out_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 26

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 d1 3.0) (.f64 d1 d2)) (*.f64 d1 d3))
7.0ms	(+.f64 (.f64 d1 3.0) (.f64 d1 d2))

series18.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 (+.f64 (.f64 d1 3.0) (.f64 d1 d2)) (*.f64 d1 d3))
8.0ms	(+.f64 (.f64 d1 3.0) (.f64 d1 d2))

simplify46.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5072	283

prune53.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64` `add-sqr-sqrt_binary64`
3×	`pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`associate-*r/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))

series9.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(*.f64 d1 (+.f64 d3 (+.f64 3.0 d2)))

simplify64.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4963	218
1	4963	218

prune43.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	27	4	31

Merged error: 0b

Counts

31 → 4

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
0.3b	(cbrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
0.4b	(*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))
0.4b	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))

rewrite61.0ms (3%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`*-un-lft-identity_binary64`
70×	`cbrt-div_binary64`
51×	`cbrt-prod_binary64`
35×	`flip3-+_binary64` `flip-+_binary64`
34×	`associate-*r/_binary64`
33×	`distribute-lft-out_binary64`
32×	`frac-times_binary64`
24×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64`
16×	`associate-r_binary64` `add-cube-cbrt_binary64` `associate-*l/_binary64`
15×	`add-exp-log_binary64`
14×	`swap-sqr_binary64`
9×	`associate-l_binary64`
8×	`pow-prod-down_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
7×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64` `*-commutative_binary64`
1×	`pow-plus_binary64` `pow2_binary64`

Counts

4 → 142

Calls

4 calls:

25.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))
15.0ms	(*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))
7.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
5.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3.0 d2)))

series112.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
37.0ms	(cbrt.f64 (+.f64 d3 (+.f64 3.0 d2)))
27.0ms	(*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))
10.0ms	(.f64 (.f64 d1 (*.f64 (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))) (cbrt.f64 (+.f64 d3 (+.f64 3.0 d2))))

simplify69.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4963	2685
1	4963	2685

prune270.0ms (13.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	154	4	158

Merged error: 0b

Counts

158 → 4

localize10.0ms (0.5%)

Local error

Found 3 expressions with local error:

2.8b

(-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2)))

6.2b

(*.f64 d1 (-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2))))

18.3b

(/.f64 (*.f64 d1 (-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2)))) (-.f64 d3 (+.f64 3.0 d2)))

rewrite27.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

13.0ms

(/.f64 (*.f64 d1 (-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2)))) (-.f64 d3 (+.f64 3.0 d2)))

7.0ms

(*.f64 d1 (-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2))))

5.0ms

(-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2)))

series76.0ms (3.8%)

Counts

3 → 9

Calls

3 calls:

36.0ms

(/.f64 (*.f64 d1 (-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2)))) (-.f64 d3 (+.f64 3.0 d2)))

30.0ms

(*.f64 d1 (-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2))))

10.0ms

(-.f64 (*.f64 d3 d3) (*.f64 (+.f64 3.0 d2) (+.f64 3.0 d2)))

simplify40.0ms (2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5157	1092

prune98.0ms (4.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	77	4	81

Merged error: 0b

Counts

81 → 4

regimes139.0ms (6.9%)

Accuracy

Total 0.1b remaining (85.1%)

Threshold costs 0.1b (85.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

end0.0ms (0%)

sample504.0ms (25%)

Algorithm

1×

intervals

Results

240.0ms	7444×	body	80	valid
22.0ms	204×	body	640	valid
20.0ms	659×	body	80	invalid
14.0ms	175×	body	320	valid
12.0ms	88×	body	1280	valid
6.0ms	89×	body	160	valid

Details

analyze292.0ms (14.5%)

sample19.0ms (0.9%)

simplify7.0ms (0.3%)

prune9.0ms (0.5%)

localize8.0ms (0.4%)

rewrite15.0ms (0.7%)

series18.0ms (0.9%)

simplify46.0ms (2.3%)

prune53.0ms (2.6%)

localize6.0ms (0.3%)

rewrite9.0ms (0.5%)

series9.0ms (0.5%)

simplify64.0ms (3.2%)

prune43.0ms (2.1%)

localize9.0ms (0.5%)

rewrite61.0ms (3%)

series112.0ms (5.6%)

simplify69.0ms (3.4%)

prune270.0ms (13.4%)

localize10.0ms (0.5%)

rewrite27.0ms (1.3%)

series76.0ms (3.8%)

simplify40.0ms (2%)

prune98.0ms (4.9%)

regimes139.0ms (6.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample504.0ms (25%)

Profiling