Details

sample107.0ms

Algorithm

intervals

Results

41.0ms

525×

body

valid

simplify156.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune22.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 7.2b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 18.0) y)
4.1b	(* (* (* x 18.0) y) z)
5.3b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* j 27.0) k)
5.0ms	(* (* x 18.0) y)
6.0ms	(* (* (* x 18.0) y) z)
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* j 27.0) k)
20.0ms	(* (* x 18.0) y)
26.0ms	(* (* (* x 18.0) y) z)
119.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	406	472
1	2141	393
2	5001	393

prune645.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	11	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Merged error: 3.7b

Counts

94 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* x (* 18.0 y))
4.1b	(* (* x (* 18.0 y)) z)
5.3b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

4.0ms	(* (* j 27.0) k)
4.0ms	(* x (* 18.0 y))
6.0ms	(* (* x (* 18.0 y)) z)
8.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* j 27.0) k)
19.0ms	(* x (* 18.0 y))
25.0ms	(* (* x (* 18.0 y)) z)
114.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	404	472
1	1946	393
2	5001	393

prune546.0ms

Filtered

93 candidates to 49 candidates (52.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	94	10	104

Merged error: 3.7b

Counts

104 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* (* x 18.0) y)
4.1b	(* (* (* x 18.0) y) z)
5.3b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

4.0ms	(* j (* 27.0 k))
5.0ms	(* (* x 18.0) y)
7.0ms	(* (* (* x 18.0) y) z)
11.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series177.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* j (* 27.0 k))
23.0ms	(* (* x 18.0) y)
25.0ms	(* (* (* x 18.0) y) z)
111.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	398	471
1	2030	392
2	5001	392

prune592.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	94	9	103

Merged error: 3.7b

Counts

103 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* 18.0 (* x (* z y)))
5.3b	(* x (* z y))
5.3b	(* t (- (* 18.0 (* x (* z y))) (* a 4.0)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* j 27.0) k)
6.0ms	(* 18.0 (* x (* z y)))
5.0ms	(* x (* z y))
9.0ms	(* t (- (* 18.0 (* x (* z y))) (* a 4.0)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* j 27.0) k)
28.0ms	(* 18.0 (* x (* z y)))
25.0ms	(* x (* z y))
119.0ms	(* t (- (* 18.0 (* x (* z y))) (* a 4.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	380	468
1	1668	389
2	5001	389

prune481.0ms

Filtered

93 candidates to 51 candidates (54.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	92	10	102

Merged error: 3.7b

Counts

102 → 10

regimes2.7s

Accuracy

19.3% (2.7b remaining)

Error of 4.8b against oracle of 2.1b and baseline of 5.5b

bsearch235.0ms

Steps

Iters	Range		Point
10	6.463666879765232e-146	1.0723515725238752e-130	1.6195694963543403e-134
4	-4.517181085862075e-107	-2.631326225468477e-107	-3.218053536389041e-107

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	25
1	65	25
2	68	25
3	68	25

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s

16216×

body

valid

Details

sample107.0ms

simplify156.0ms

prune22.0ms

localize21.0ms

rewrite27.0ms

series183.0ms

simplify66.0ms

prune645.0ms

localize20.0ms

rewrite26.0ms

series176.0ms

simplify57.0ms

prune546.0ms

localize20.0ms

rewrite29.0ms

series177.0ms

simplify59.0ms

prune592.0ms

localize21.0ms

rewrite27.0ms

series193.0ms

simplify49.0ms

prune481.0ms

regimes2.7s

bsearch235.0ms

simplify2.0ms

end0.0ms

sample2.9s

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