Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample62.0ms (2.1%)

Algorithm

1×

intervals

Results

39.0ms	81×	body	1280	valid
10.0ms	43×	body	640	valid
4.0ms	31×	body	320	valid
3.0ms	92×	body	80	valid
1.0ms	9×	body	160	valid

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

prune7.0ms (0.2%)

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: 38.7b

Counts

2 → 1

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.3b	(log.f64 (+.f64 1.0 x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `log-prod_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1.0 x))

series4.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

4.0ms

(log.f64 (+.f64 1.0 x))

simplify71.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4934	144
1	4934	144

prune31.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 0.2b

Counts

19 → 5

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))
0.0b	(-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
5×	`associate-r_binary64`
4×	`*-un-lft-identity_binary64` `pow1_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `div-exp_binary64`
3×	`associate-r/_binary64` `associate-l*_binary64`
2×	`diff-log_binary64` `unswap-sqr_binary64` `times-frac_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 45

Calls

2 calls:

12.0ms	(.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))
8.0ms	(-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))

series9.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

5.0ms	(-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))
4.0ms	(.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))

simplify27.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5365	674

prune78.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	50	6	56

Merged error: 0.2b

Counts

56 → 6

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1.0 x))
0.0b	(sqrt.f64 (+.f64 1.0 x))
3.3b	(log.f64 (sqrt.f64 (+.f64 1.0 x)))
3.3b	(log.f64 (sqrt.f64 (+.f64 1.0 x)))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
16×	`sqrt-prod_binary64`
14×	`log-prod_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-cube-cbrt_binary64`
8×	`sqrt-div_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1/2_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `log-div_binary64` `flip-+_binary64`
2×	`rem-log-exp_binary64` `rem-sqrt-square_binary64`

Counts

4 → 72

Calls

4 calls:

4.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 x)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 x)))
3.0ms	(sqrt.f64 (+.f64 1.0 x))
3.0ms	(sqrt.f64 (+.f64 1.0 x))

series29.0ms (1%)

Counts

4 → 12

Calls

4 calls:

12.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 x)))
8.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 x)))
5.0ms	(sqrt.f64 (+.f64 1.0 x))
5.0ms	(sqrt.f64 (+.f64 1.0 x))

simplify48.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5007	848

prune113.0ms (3.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	3	3
Picked	0	1	1
Done	1	1	2
Total	83	7	90

Merged error: 0.2b

Counts

90 → 7

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))
0.0b	(-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))
0.0b	(-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))
0.2b	(.f64 (sqrt.f64 (-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (sqrt.f64 (-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0))))))

rewrite50.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`sqrt-div_binary64`
30×	`associate-*r/_binary64`
26×	`add-sqr-sqrt_binary64` `frac-sub_binary64`
21×	`sqrt-prod_binary64`
20×	`pow1_binary64`
16×	`frac-times_binary64`
13×	`flip3-+_binary64` `*-un-lft-identity_binary64` `flip3--_binary64` `add-cube-cbrt_binary64` `flip--_binary64` `flip-+_binary64`
12×	`add-log-exp_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`swap-sqr_binary64`
6×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`diff-log_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`sub-neg_binary64` `associate--l+_binary64` `sum-log_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 120

Calls

4 calls:

19.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (sqrt.f64 (-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0))))))
10.0ms	(-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))
8.0ms	(-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))
7.0ms	(sqrt.f64 (-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))

series22.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt.f64 (-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0)))))
5.0ms	(.f64 (sqrt.f64 (-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))) (sqrt.f64 (-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0))))))
4.0ms	(-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))
4.0ms	(-.f64 (+.f64 (.f64 1.0 x) (log.f64 1.0)) (.f64 1/2 (/.f64 (.f64 x x) (.f64 1.0 1.0))))

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5910	3897

prune338.0ms (11.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	131	8	139

Merged error: 0.2b

Counts

139 → 8

regimes91.0ms (3.1%)

Accuracy

Total 0.2b remaining (59.5%)

Threshold costs 0.2b (59.5%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	33
1	63	33

end0.0ms (0%)

sample1.8s (61.7%)

Algorithm

1×

intervals

Results

1.1s	2336×	body	1280	valid
377.0ms	1641×	body	640	valid
98.0ms	794×	body	320	valid
79.0ms	2810×	body	80	valid
30.0ms	419×	body	160	valid

Details

analyze3.0ms (0.1%)

sample62.0ms (2.1%)

simplify5.0ms (0.2%)

prune7.0ms (0.2%)

localize3.0ms (0.1%)

rewrite4.0ms (0.1%)

series4.0ms (0.1%)

simplify71.0ms (2.4%)

prune31.0ms (1.1%)

localize9.0ms (0.3%)

rewrite21.0ms (0.7%)

series9.0ms (0.3%)

simplify27.0ms (0.9%)

prune78.0ms (2.7%)

localize6.0ms (0.2%)

rewrite17.0ms (0.6%)

series29.0ms (1%)

simplify48.0ms (1.6%)

prune113.0ms (3.9%)

localize11.0ms (0.4%)

rewrite50.0ms (1.7%)

series22.0ms (0.8%)

simplify58.0ms (2%)

prune338.0ms (11.5%)

regimes91.0ms (3.1%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.8s (61.7%)

Profiling