Details

analyze64.0ms

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

sample24.0ms

Algorithm

intervals

Results

10.0ms	231×	body	80	valid
3.0ms	5×	body	1280	valid
2.0ms	7×	body	640	valid
2.0ms	9×	body	320	valid
0.0ms	4×	body	160	valid
0.0ms	2×	body	80	invalid

simplify157.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4812	14
1	4812	14

prune5.0ms

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (+.f64 1 (exp.f64 x)))
0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(+.f64 1 (exp.f64 x))

rewrite15.0ms

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	(log.f64 (+.f64 1 (exp.f64 x)))
7.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
4.0ms	(+.f64 1 (exp.f64 x))

series100.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
44.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
6.0ms	(+.f64 1 (exp.f64 x))

simplify125.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4848	761
1	4848	761

prune39.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))) (*.f64 x y))
0.0b	(pow.f64 (exp.f64 x) 3)
4.4b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`log-prod_binary64` `associate--l+_binary64`
21×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
13×	`distribute-lft-out_binary64`
8×	`pow-pow_binary64`
7×	`add-log-exp_binary64` `unpow-prod-down_binary64`
6×	`pow-unpow_binary64` `pow1_binary64` `exp-prod_binary64`
5×	`add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
4×	`add-exp-log_binary64` `difference-of-squares_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-/r/_binary64` `flip--_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `associate--l-_binary64` `distribute-rgt-out--_binary64` `rem-cube-cbrt_binary64` `div-inv_binary64` `log-div_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 102

Calls

4 calls:

3.0ms	(pow.f64 (exp.f64 x) 2)
21.0ms	(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))) (*.f64 x y))
3.0ms	(pow.f64 (exp.f64 x) 3)
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

series210.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(pow.f64 (exp.f64 x) 2)
149.0ms	(-.f64 (log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))) (*.f64 x y))
26.0ms	(pow.f64 (exp.f64 x) 3)
22.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

simplify80.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4961	2196
1	4961	2196

prune106.0ms

Filtered

72 candidates to 114 candidates (-58.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	114	3	117

Merged error: 0b

Counts

117 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
0.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
0.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
14×	`log-prod_binary64`
8×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
4×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `log-div_binary64` `flip-+_binary64` `sqrt-div_binary64`
2×	`pow1/2_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 64

Calls

4 calls:

3.0ms	(+.f64 1 (exp.f64 x))
3.0ms	(+.f64 1 (exp.f64 x))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

series143.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 1 (exp.f64 x))
5.0ms	(+.f64 1 (exp.f64 x))
67.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
66.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

simplify82.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5022	988

prune62.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.7b	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
0.7b	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
0.7b	(*.f64 (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod_binary64`
29×	`pow1_binary64`
28×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
11×	`swap-sqr_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`log-pow_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`rem-sqrt-square_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

5.0ms	(+.f64 1 (exp.f64 x))
1.0ms	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
1.0ms	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
7.0ms	(*.f64 (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))))

series165.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 1 (exp.f64 x))
58.0ms	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
57.0ms	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
45.0ms	(*.f64 (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5186	1226

prune60.0ms

Filtered

54 candidates to 106 candidates (-96.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Merged error: 0b

Counts

109 → 3

regimes19.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	33
1	54	33

end0.0ms

sample670.0ms

Algorithm

intervals

Results

323.0ms	7305×	body	80	valid
78.0ms	253×	body	640	valid
66.0ms	121×	body	1280	valid
38.0ms	207×	body	320	valid
15.0ms	114×	body	160	valid
2.0ms	33×	body	80	invalid
0.0ms	10×	body	80	overflowed

Details

analyze64.0ms

sample24.0ms

simplify157.0ms

prune5.0ms

localize8.0ms

rewrite15.0ms

series100.0ms

simplify125.0ms

prune39.0ms

localize14.0ms

rewrite39.0ms

series210.0ms

simplify80.0ms

prune106.0ms

localize10.0ms

rewrite18.0ms

series143.0ms

simplify82.0ms

prune62.0ms

localize10.0ms

rewrite18.0ms

series165.0ms

simplify59.0ms

prune60.0ms

regimes19.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample670.0ms

Profiling