Details

analyze498.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.3%	24.4%	11
31.4%	44.3%	24.4%	12
31.4%	44%	24.5%	13
31.5%	43.8%	24.8%	14

sample64.0ms

Algorithm

intervals

Results

32.0ms	76×	body	1280	valid
13.0ms	53×	body	640	valid
4.0ms	30×	body	320	valid
4.0ms	85×	body	80	valid
1.0ms	12×	body	160	valid

simplify480.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4850	5
1	4850	5

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

2 → 28

Calls

2 calls:

13.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
6.0ms	(+.f64 1 (exp.f64 x))

series17.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(sqrt.f64 (+.f64 1 (exp.f64 x)))
12.0ms	(+.f64 1 (exp.f64 x))

simplify44.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4978	232
1	4978	232

prune27.0ms

Filtered

24 candidates to 34 candidates (-41.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	1	35

Merged error: 0b

Counts

35 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 x)))))
0.0b	(exp.f64 (exp.f64 x))
0.7b	(*.f64 E.f64 (exp.f64 (exp.f64 x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64`
3×	`associate-r_binary64` `associate-l_binary64` `exp-prod_binary64`
2×	`pow-prod-down_binary64` `log-pow_binary64` `prod-exp_binary64`
1×	`pow1/2_binary64` `cbrt-unprod_binary64` `rem-exp-log_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `e-exp-1_binary64` `*-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

4.0ms	(sqrt.f64 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 x)))))
2.0ms	(exp.f64 (exp.f64 x))
6.0ms	(*.f64 E.f64 (exp.f64 (exp.f64 x)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(sqrt.f64 (log.f64 (*.f64 E.f64 (exp.f64 (exp.f64 x)))))
9.0ms	(exp.f64 (exp.f64 x))
6.0ms	(*.f64 E.f64 (exp.f64 (exp.f64 x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5732	319

prune36.0ms

Filtered

37 candidates to 54 candidates (-45.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	1	55

Merged error: 0b

Counts

55 → 1

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

833.0ms	2283×	body	1280	valid
373.0ms	1610×	body	640	valid
129.0ms	841×	body	320	valid
126.0ms	2840×	body	80	valid
42.0ms	426×	body	160	valid
0.0ms	2×	body	80	invalid

Details

analyze498.0ms

sample64.0ms

simplify480.0ms

prune9.0ms

localize6.0ms

rewrite21.0ms

series17.0ms

simplify44.0ms

prune27.0ms

localize7.0ms

rewrite12.0ms

series35.0ms

simplify66.0ms

prune36.0ms

simplify2.0ms

end0.0ms

sample1.6s

Profiling