Details

analyze67.0ms

Algorithm

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
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

sample26.0ms

Algorithm

intervals

Results

10.0ms	231×	body	80	valid
3.0ms	9×	body	640	valid
3.0ms	5×	body	1280	valid
2.0ms	9×	body	320	valid
0.0ms	2×	body	160	valid
0.0ms	2×	body	80	invalid
0.0ms	1×	body	80	overflowed

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5973	9

prune3.0ms

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: 0.8b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1.0 (exp.f64 x))
0.0b	(-.f64 (log.f64 (+.f64 1.0 (exp.f64 x))) (*.f64 x y))
0.6b	(log.f64 (+.f64 1.0 (exp.f64 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
8×	`log-prod_binary64`
6×	`add-log-exp_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `log-div_binary64` `associate--l+_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
2×	`associate--l-_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 44

Calls

3 calls:

3.0ms	(+.f64 1.0 (exp.f64 x))
6.0ms	(-.f64 (log.f64 (+.f64 1.0 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1.0 (exp.f64 x)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+.f64 1.0 (exp.f64 x))
8.0ms	(-.f64 (log.f64 (+.f64 1.0 (exp.f64 x))) (*.f64 x y))
12.0ms	(log.f64 (+.f64 1.0 (exp.f64 x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	4842	504
1	4842	504

prune58.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	49	4	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	4	54

Merged error: 0.5b

Counts

54 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 3)
0.7b	(log.f64 (+.f64 (pow.f64 1.0 3) (pow.f64 (exp.f64 x) 3)))
5.1b	(-.f64 (exp.f64 x) 1.0)
5.7b	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
7×	`pow1_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64`
5×	`distribute-lft-out_binary64` `add-cbrt-cube_binary64`
4×	`pow-pow_binary64` `log-div_binary64`
3×	`pow-unpow_binary64` `exp-prod_binary64`
2×	`flip3-+_binary64` `rem-log-exp_binary64` `log-pow_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `sum-cubes_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 73

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 x) 3)
11.0ms	(log.f64 (+.f64 (pow.f64 1.0 3) (pow.f64 (exp.f64 x) 3)))
4.0ms	(-.f64 (exp.f64 x) 1.0)
4.0ms	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))))

series55.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(pow.f64 (exp.f64 x) 3)
21.0ms	(log.f64 (+.f64 (pow.f64 1.0 3) (pow.f64 (exp.f64 x) 3)))
2.0ms	(-.f64 (exp.f64 x) 1.0)
27.0ms	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5002	829

prune94.0ms

Filtered

57 candidates to 85 candidates (-49.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	85	4	89

Merged error: 0.5b

Counts

89 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0))) (*.f64 x y))
0.0b	(+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0))
6.6b	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
6×	`log-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `log-div_binary64`
3×	`flip3-+_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64`
2×	`associate--l-_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64` `+-commutative_binary64` `flip--_binary64` `associate-+r+_binary64`

Counts

3 → 43

Calls

3 calls:

13.0ms	(-.f64 (log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0))) (*.f64 x y))
9.0ms	(+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0))
8.0ms	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))

series18.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(-.f64 (log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0))) (*.f64 x y))
3.0ms	(+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0))
5.0ms	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4913	805
1	4913	805

prune82.0ms

Filtered

43 candidates to 52 candidates (-20.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	51	5	56

Merged error: 0.5b

Counts

56 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b	(cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0))))
6.6b	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))
6.6b	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))
6.6b	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`add-exp-log_binary64`
6×	`log-div_binary64`
4×	`add-log-exp_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
3×	`flip3-+_binary64` `rem-log-exp_binary64` `flip-+_binary64`
1×	`pow1/3_binary64`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0))))
8.0ms	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))
8.0ms	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))
10.0ms	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))

series34.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt.f64 (log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0))))
5.0ms	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))
5.0ms	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))
5.0ms	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5061	1144

prune108.0ms

Filtered

55 candidates to 66 candidates (-20.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	66	5	71

Merged error: 0.5b

Counts

71 → 5

regimes125.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	26
1	63	26

end0.0ms

sample687.0ms

Algorithm

intervals

Results

329.0ms	7285×	body	80	valid
86.0ms	279×	body	640	valid
73.0ms	134×	body	1280	valid
36.0ms	200×	body	320	valid
11.0ms	102×	body	160	valid
2.0ms	44×	body	80	invalid
0.0ms	10×	body	80	overflowed

Details

analyze67.0ms

sample26.0ms

simplify83.0ms

prune3.0ms

localize7.0ms

rewrite17.0ms

series22.0ms

simplify92.0ms

prune58.0ms

localize15.0ms

rewrite27.0ms

series55.0ms

simplify57.0ms

prune94.0ms

localize9.0ms

rewrite31.0ms

series18.0ms

simplify49.0ms

prune82.0ms

localize13.0ms

rewrite29.0ms

series34.0ms

simplify40.0ms

prune108.0ms

regimes125.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample687.0ms

Profiling