Details

analyze43.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	18.7%	12.6%	7
68.7%	15.6%	15.7%	8
71.8%	9.4%	18.8%	9
71.8%	7.8%	20.4%	10
73.4%	4.7%	22%	11
73.4%	3.9%	22.7%	12
74.1%	2.3%	23.5%	13
74.1%	2%	23.9%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5006	6

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (.f64 (.f64 x y) y))
0.1b	(.f64 (.f64 x y) y)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`associate-l_binary64` `rem-exp-log_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `*-commutative_binary64`

Counts

2 → 28

Calls

2 calls:

2.0ms	(exp.f64 (.f64 (.f64 x y) y))
5.0ms	(.f64 (.f64 x y) y)

series17.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(exp.f64 (.f64 (.f64 x y) y))
8.0ms	(.f64 (.f64 x y) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5004	203

prune30.0ms

Filtered

20 candidates to 34 candidates (-70.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Merged error: 0.0b

Counts

35 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (.f64 y (.f64 x y)))
0.1b	(.f64 y (.f64 x y))
0.1b	(.f64 y (.f64 x y))
0.1b	(.f64 y (.f64 x y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
3×	`associate-r_binary64` `*-commutative_binary64`
1×	`rem-exp-log_binary64` `exp-to-pow_binary64` `exp-prod_binary64`

Counts

4 → 64

Calls

4 calls:

3.0ms	(exp.f64 (.f64 y (.f64 x y)))
5.0ms	(.f64 y (.f64 x y))
5.0ms	(.f64 y (.f64 x y))
5.0ms	(.f64 y (.f64 x y))

series17.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(exp.f64 (.f64 y (.f64 x y)))
4.0ms	(.f64 y (.f64 x y))
4.0ms	(.f64 y (.f64 x y))
4.0ms	(.f64 y (.f64 x y))

simplify55.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5100	431

prune57.0ms

Filtered

50 candidates to 76 candidates (-52.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (sqrt.f64 y) (.f64 x (pow.f64 y 3/2)))
0.1b	(.f64 y (.f64 x y))
0.1b	(.f64 y (.f64 x y))
4.4b	(*.f64 x (pow.f64 y 3/2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log_binary64`
21×	`add-cbrt-cube_binary64`
16×	`pow1_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`cbrt-unprod_binary64` `associate-r_binary64`
7×	`pow-prod-down_binary64`
4×	`add-log-exp_binary64` `unpow-prod-down_binary64` `*-commutative_binary64`
3×	`unswap-sqr_binary64` `sqrt-prod_binary64`
2×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 83

Calls

4 calls:

7.0ms	(.f64 (sqrt.f64 y) (.f64 x (pow.f64 y 3/2)))
5.0ms	(.f64 y (.f64 x y))
5.0ms	(.f64 y (.f64 x y))
6.0ms	(*.f64 x (pow.f64 y 3/2))

series34.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 y) (.f64 x (pow.f64 y 3/2)))
4.0ms	(.f64 y (.f64 x y))
4.0ms	(.f64 y (.f64 x y))
14.0ms	(*.f64 x (pow.f64 y 3/2))

simplify78.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4912	630
1	4912	630

prune75.0ms

Filtered

58 candidates to 95 candidates (-63.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	95	4	99

Merged error: 0.0b

Counts

99 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

4.4b	(*.f64 x (pow.f64 y 3/2))
12.8b	(cbrt.f64 (*.f64 x (pow.f64 y 3/2)))
12.8b	(cbrt.f64 (*.f64 x (pow.f64 y 3/2)))
12.8b	(cbrt.f64 (*.f64 x (pow.f64 y 3/2)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
6×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `unpow-prod-down_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `cbrt-prod_binary64`
2×	`sqr-pow_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 52

Calls

4 calls:

6.0ms	(*.f64 x (pow.f64 y 3/2))
4.0ms	(cbrt.f64 (*.f64 x (pow.f64 y 3/2)))
4.0ms	(cbrt.f64 (*.f64 x (pow.f64 y 3/2)))
4.0ms	(cbrt.f64 (*.f64 x (pow.f64 y 3/2)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(*.f64 x (pow.f64 y 3/2))
25.0ms	(cbrt.f64 (*.f64 x (pow.f64 y 3/2)))
25.0ms	(cbrt.f64 (*.f64 x (pow.f64 y 3/2)))
28.0ms	(cbrt.f64 (*.f64 x (pow.f64 y 3/2)))

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4958	700
1	4958	700

prune91.0ms

Filtered

54 candidates to 64 candidates (-18.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

regimes144.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

end0.0ms

sample323.0ms

Algorithm

intervals

Results

194.0ms	8000×	body	80	valid
2.0ms	102×	body	80	invalid

Details

analyze43.0ms

sample13.0ms

simplify54.0ms

prune5.0ms

localize4.0ms

rewrite9.0ms

series17.0ms

simplify65.0ms

prune30.0ms

localize8.0ms

rewrite21.0ms

series17.0ms

simplify55.0ms

prune57.0ms

localize20.0ms

rewrite27.0ms

series34.0ms

simplify78.0ms

prune75.0ms

localize22.0ms

rewrite18.0ms

series92.0ms

simplify50.0ms

prune91.0ms

regimes144.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample323.0ms

Profiling