Details

sample52.0ms

Algorithm

intervals

Results

26.0ms

427×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

3.0ms	(+ (* x y) (* z t))
8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series291.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x y) (* z t))
206.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
53.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify36.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune131.0ms

Filtered

47 candidates to 37 candidates (78.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	42	5	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	6	48

Merged error: 0.0b

Counts

48 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

15.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
5.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series531.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
111.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
115.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
119.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify111.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	309	1413
1	1083	1317
2	4413	1198
3	5002	1184

prune315.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

16.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
7.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series438.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
105.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
100.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
96.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify111.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	282	1777
1	1019	1653
2	4836	1516
3	5001	1506

prune440.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	98	7	105

Merged error: 0b

Counts

105 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(* (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
0.9b	(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod`
42×	`add-sqr-sqrt`
32×	`cbrt-div`
24×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
9×	`unpow-prod-down` `pow1/3` `swap-sqr` `associate-r` `associate-l` `unswap-sqr`
8×	`flip3-+` `flip-+`
7×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-to-exp` `pow-plus` `pow-exp` `prod-exp` `*-commutative` `cbrt-unprod` `sqr-pow`

Counts

4 → 118

Calls

4 calls:

8.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
8.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
23.0ms	(* (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
9.0ms	(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

series509.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
97.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
136.0ms	(* (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))
177.0ms	(pow (cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) 4)

simplify66.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	397	2566
1	1528	2238
2	5001	2139

prune457.0ms

Filtered

130 candidates to 93 candidates (71.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	130	7	137

Merged error: 0b

Counts

137 → 7

regimes653.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

640.0ms

13688×

body

valid

Details

sample52.0ms

simplify9.0ms

prune3.0ms

localize11.0ms

rewrite18.0ms

series291.0ms

simplify36.0ms

prune131.0ms

localize16.0ms

rewrite33.0ms

series531.0ms

simplify111.0ms

prune315.0ms

localize15.0ms

rewrite38.0ms

series438.0ms

simplify111.0ms

prune440.0ms

localize22.0ms

rewrite52.0ms

series509.0ms

simplify66.0ms

prune457.0ms

regimes653.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling