Details

analyze1.4s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample32.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	121×	body	80	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

prune1.0ms

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 24

Calls

2 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

series108.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+.f64 (.f64 x y) (.f64 z t))
68.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

simplify58.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4975	546
1	4975	546

prune20.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0.0b

Counts

31 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
16.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))

series859.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
170.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
175.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
340.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))

simplify72.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5226	3217

prune94.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
0.6b	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))) 4)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod_binary64`
27×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`cbrt-div_binary64`
12×	`pow1_binary64`
9×	`pow1/3_binary64` `unpow-prod-down_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
7×	`add-exp-log_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-pow_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `sqr-pow_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
16.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
6.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
9.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))) 4)

series1.2s

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))
321.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))) (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
172.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))))
557.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))) 4)

simplify88.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5323	3574

prune124.0ms

Filtered

83 candidates to 113 candidates (-36.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Merged error: 0.0b

Counts

117 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
0.3b	(pow.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))) 3)
37.2b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
11×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `cube-div_binary64` `flip-+_binary64` `sum-log_binary64`
3×	`pow-unpow_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `+-commutative_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `associate-+r+_binary64` `pow-exp_binary64`

Counts

4 → 72

Calls

4 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
7.0ms	(pow.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))) 3)
7.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))) 3))

series3.0s

Counts

4 → 12

Calls

4 calls:

35.0ms	(+.f64 (.f64 x y) (.f64 z t))
65.0ms	(+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t)))
2.8s	(pow.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))) 3)
66.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))) 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4990	1912
1	4990	1912

prune42.0ms

Filtered

53 candidates to 84 candidates (-58.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	84	4	88

Merged error: 0.0b

Counts

88 → 4

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	16
1	17	16

end0.0ms

sample857.0ms

Algorithm

intervals

Results

298.0ms	8000×	body	80	valid
154.0ms	3994×	body	80	invalid

Details

analyze1.4s

sample32.0ms

simplify12.0ms

prune1.0ms

localize9.0ms

rewrite11.0ms

series108.0ms

simplify58.0ms

prune20.0ms

localize15.0ms

rewrite36.0ms

series859.0ms

simplify72.0ms

prune94.0ms

localize22.0ms

rewrite41.0ms

series1.2s

simplify88.0ms

prune124.0ms

localize12.0ms

rewrite28.0ms

series3.0s

simplify53.0ms

prune42.0ms

regimes139.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample857.0ms

Profiling