Details

analyze712.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
6.2%	82.7%	11.1%	10
12.5%	73.7%	13.8%	11
15.6%	59.5%	25%	12
17.9%	53.3%	28.8%	13
22.4%	47.2%	30.4%	14

sample26.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
3.0ms	86×	body	80	invalid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	703	13
1	703	13

prune4.0ms

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: 5.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 z z) t)
0.0b	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
4.7b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-log-exp_binary64`
6×	`sub-neg_binary64` `add-sqr-sqrt_binary64`
4×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
2×	`associate--r+_binary64` `diff-log_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64`
1×	`associate-l_binary64` `*-commutative_binary64`

Counts

3 → 48

Calls

3 calls:

5.0ms	(-.f64 (*.f64 z z) t)
5.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
9.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

series45.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(-.f64 (*.f64 z z) t)
26.0ms	(-.f64 (.f64 x x) (.f64 (.f64 y 4) (-.f64 (.f64 z z) t)))
15.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify32.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4992	627
1	4992	627

prune75.0ms

Filtered

40 candidates to 57 candidates (-42.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	50	7	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	8	58

Merged error: 1.8b

Counts

58 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

2.0b	(.f64 (.f64 y 4) (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (*.f64 z z) t))))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64`
16×	`pow1_binary64` `add-exp-log_binary64`
12×	`add-cbrt-cube_binary64` `cbrt-prod_binary64`
10×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`pow1/3_binary64` `difference-of-squares_binary64`
2×	`associate-*l/_binary64`
1×	`associate-r_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

17.0ms	(.f64 (.f64 y 4) (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (*.f64 z z) t))))
7.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

series80.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(.f64 (.f64 y 4) (.f64 (cbrt.f64 (-.f64 (.f64 z z) t)) (cbrt.f64 (-.f64 (*.f64 z z) t))))
16.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
16.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
16.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

simplify39.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4950	952
1	4950	952

prune106.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	82	10	92

Merged error: 1.8b

Counts

92 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
4.7b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
4.7b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
4.7b	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`associate-*r/_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`sub-neg_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
3×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `*-commutative_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64` `cbrt-prod_binary64`

Counts

4 → 80

Calls

4 calls:

8.0ms	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
10.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

series83.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(cbrt.f64 (.f64 (.f64 y 4) (-.f64 (*.f64 z z) t)))
17.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
15.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))
15.0ms	(.f64 (.f64 y 4) (-.f64 (*.f64 z z) t))

simplify42.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5049	924

prune108.0ms

Filtered

61 candidates to 92 candidates (-50.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	92	10	102

Merged error: 1.8b

Counts

102 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.3b	(cbrt.f64 (-.f64 (*.f64 z z) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod_binary64`
12×	`add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `flip--_binary64`

Counts

4 → 56

Calls

4 calls:

5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
5.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
7.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

series65.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
16.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
16.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))
17.0ms	(cbrt.f64 (-.f64 (*.f64 z z) t))

simplify63.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4878	668
1	4878	668

prune83.0ms

Filtered

64 candidates to 68 candidates (-6.3%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	67	11	78

Merged error: 1.8b

Counts

78 → 11

regimes1.2s

Accuracy

85.3% (0.5b remaining)

Error of 3.1b against oracle of 2.5b and baseline of 6.1b

bsearch1.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	324	36
1	324	36

end0.0ms

sample738.0ms

Algorithm

intervals

Results

324.0ms	8000×	body	80	valid
120.0ms	2989×	body	80	invalid

Details

analyze712.0ms

sample26.0ms

simplify37.0ms

prune4.0ms

localize9.0ms

rewrite20.0ms

series45.0ms

simplify32.0ms

prune75.0ms

localize13.0ms

rewrite36.0ms

series80.0ms

simplify39.0ms

prune106.0ms

localize13.0ms

rewrite40.0ms

series83.0ms

simplify42.0ms

prune108.0ms

localize19.0ms

rewrite22.0ms

series65.0ms

simplify63.0ms

prune83.0ms

regimes1.2s

bsearch1.0ms

simplify6.0ms

end0.0ms

sample738.0ms

Profiling