Details

analyze1.5s

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%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample49.0ms

Algorithm

intervals

Results

14.0ms	163×	body	80	invalid
12.0ms	256×	body	80	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

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

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 27

Calls

2 calls:

10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

series293.0ms

Counts

2 → 6

Calls

2 calls:

227.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
66.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))

simplify52.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5087	796

prune26.0ms

Filtered

25 candidates to 33 candidates (-32.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite49.0ms

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:

8.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
8.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
9.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
21.0ms	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (*.f64 c i))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
164.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
165.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
254.0ms	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (*.f64 c i))))

simplify94.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4888	3842
1	4888	3842

prune105.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	97	6	103

Merged error: 0b

Counts

103 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
0.6b	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) 2)
0.6b	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) 2)
0.6b	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) 2)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`unpow-prod-down_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`cbrt-prod_binary64`
9×	`pow-unpow_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`pow-pow_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-exp_binary64`
2×	`cbrt-div_binary64`
1×	`flip3-+_binary64` `flip-+_binary64`

Counts

4 → 79

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
10.0ms	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) 2)
10.0ms	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) 2)
10.0ms	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) 2)

series954.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
261.0ms	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) 2)
265.0ms	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) 2)
270.0ms	(pow.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) 2)

simplify61.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4914	2621
1	4914	2621

prune141.0ms

Filtered

69 candidates to 91 candidates (-31.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	91	6	97

Merged error: 0b

Counts

97 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

31×	`cbrt-prod_binary64`
26×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`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 → 98

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
8.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
21.0ms	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (*.f64 c i))))
11.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))) 4)

series1.0s

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
163.0ms	(cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))
258.0ms	(.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i))) (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (*.f64 c i))))
425.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))) (.f64 c i)))) 4)

simplify116.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4835	4261
1	4835	4261

prune134.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	110	6	116

Merged error: 0b

Counts

116 → 6

regimes276.0ms

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	23	22
1	23	22

end0.0ms

sample1.3s

Algorithm

intervals

Results

403.0ms	8000×	body	80	valid
303.0ms	5746×	body	80	invalid

Details

analyze1.5s

sample49.0ms

simplify13.0ms

prune1.0ms

localize12.0ms

rewrite17.0ms

series293.0ms

simplify52.0ms

prune26.0ms

localize21.0ms

rewrite49.0ms

series743.0ms

simplify94.0ms

prune105.0ms

localize25.0ms

rewrite41.0ms

series954.0ms

simplify61.0ms

prune141.0ms

localize23.0ms

rewrite51.0ms

series1.0s

simplify116.0ms

prune134.0ms

regimes276.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.3s

Profiling