Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample84.0ms

Algorithm

intervals

Results

27.0ms	331×	body	80	nan
20.0ms	256×	body	80	valid
4.0ms	49×	body	80	invalid

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5223	21

prune6.0ms

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: 0.1b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
0.0b	(+.f64 (*.f64 x (log.f64 y)) z)
0.1b	(*.f64 (-.f64 b 0.5) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `log-prod_binary64`
14×	`add-cube-cbrt_binary64`
11×	`add-log-exp_binary64`
10×	`pow1_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-+l+_binary64`
4×	`sum-log_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `distribute-lft-out_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 85

Calls

4 calls:

7.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
6.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
7.0ms	(*.f64 (-.f64 b 0.5) (log.f64 c))
5.0ms	(*.f64 x (log.f64 y))

series44.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
14.0ms	(+.f64 (*.f64 x (log.f64 y)) z)
10.0ms	(*.f64 (-.f64 b 0.5) (log.f64 c))
8.0ms	(*.f64 x (log.f64 y))

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4949	799
1	4949	799

prune126.0ms

Filtered

63 candidates to 97 candidates (-54.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	91	6	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series82.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
23.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
17.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)

simplify56.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4944	606
1	4944	606

prune189.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	89	7	96

Merged error: 0.0b

Counts

96 → 7

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
4.9b	(pow.f64 y 1/3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64` `log-prod_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate-+r+_binary64`
10×	`pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 71

Calls

4 calls:

6.0ms	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
3.0ms	(pow.f64 y 1/3)

series87.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
36.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
17.0ms	(cbrt.f64 y)
16.0ms	(pow.f64 y 1/3)

simplify60.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5048	463

prune120.0ms

Filtered

60 candidates to 83 candidates (-38.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	83	7	90

Merged error: 0.0b

Counts

90 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (-.f64 b 0.5) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 0.5) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod_binary64`
16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-+r+_binary64` `cbrt-prod_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-*l/_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `frac-add_binary64` `flip--_binary64`
3×	`associate-l_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

5.0ms	(*.f64 x (log.f64 y))
13.0ms	(+.f64 (.f64 (-.f64 b 0.5) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 0.5) (log.f64 (cbrt.f64 c))))
1.0ms	(cbrt.f64 c)
2.0ms	(cbrt.f64 c)

series88.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 x (log.f64 y))
45.0ms	(+.f64 (.f64 (-.f64 b 0.5) (.f64 (log.f64 (cbrt.f64 c)) 2)) (*.f64 (-.f64 b 0.5) (log.f64 (cbrt.f64 c))))
18.0ms	(cbrt.f64 c)
17.0ms	(cbrt.f64 c)

simplify27.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5070	769

prune99.0ms

Filtered

71 candidates to 87 candidates (-22.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

regimes1.3s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	31
1	49	31

end0.0ms

sample2.3s

Algorithm

intervals

Results

725.0ms	9837×	body	80	nan
680.0ms	7998×	body	80	valid
104.0ms	1255×	body	80	invalid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze1.1s

sample84.0ms

simplify30.0ms

prune6.0ms

localize18.0ms

rewrite27.0ms

series44.0ms

simplify51.0ms

prune126.0ms

localize28.0ms

rewrite20.0ms

series82.0ms

simplify56.0ms

prune189.0ms

localize33.0ms

rewrite21.0ms

series87.0ms

simplify60.0ms

prune120.0ms

localize27.0ms

rewrite23.0ms

series88.0ms

simplify27.0ms

prune99.0ms

regimes1.3s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.3s

Profiling