Details

sample85.0ms

Algorithm

intervals

Results

44.0ms

539×

body

valid

simplify138.0ms

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

prune20.0ms

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: 4.1b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.4b	(* (* x 18.0) y)
2.5b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.6b	(* (* (* x 18.0) y) z)

rewrite29.0ms

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	(* (* x 4.0) i)
5.0ms	(* (* x 18.0) y)
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series171.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 4.0) i)
19.0ms	(* (* x 18.0) y)
106.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	399	472
1	2129	393
2	5002	393

prune265.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	88	5	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	5	94

Merged error: 1.8b

Counts

94 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* (* x 4.0) i)
2.5b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.6b	(* (* x (* 18.0 y)) z)

rewrite28.0ms

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 4.0) i)
9.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
7.0ms	(* (* x (* 18.0 y)) z)

series192.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (* j 27.0) k)
19.0ms	(* (* x 4.0) i)
117.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
39.0ms	(* (* x (* 18.0 y)) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	475	473
1	2279	394
2	5002	394

prune256.0ms

Filtered

93 candidates to 50 candidates (53.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	92	6	98

Merged error: 1.5b

Counts

98 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* (* j 27.0) k)
2.5b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.6b	(* (* x (* 18.0 y)) z)

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-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:

5.0ms	(* x (* 18.0 y))
5.0ms	(* (* j 27.0) k)
9.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
7.0ms	(* (* x (* 18.0 y)) z)

series176.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* x (* 18.0 y))
16.0ms	(* (* j 27.0) k)
108.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
29.0ms	(* (* x (* 18.0 y)) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	404	472
1	1945	393
2	5002	393

prune253.0ms

Filtered

93 candidates to 51 candidates (54.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	94	5	99

Merged error: 1.5b

Counts

99 → 5

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* (* x 4.0) i)
2.5b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.6b	(* (* x (* 18.0 y)) z)

rewrite30.0ms

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:

5.0ms	(* x (* 18.0 y))
5.0ms	(* (* x 4.0) i)
10.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
8.0ms	(* (* x (* 18.0 y)) z)

series178.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (* 18.0 y))
23.0ms	(* (* x 4.0) i)
110.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
25.0ms	(* (* x (* 18.0 y)) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	397	472
1	1933	393
2	5001	393

prune256.0ms

Filtered

93 candidates to 51 candidates (54.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	92	6	98

Merged error: 1.5b

Counts

98 → 6

regimes742.0ms

Accuracy

25.8% (2.5b remaining)

Error of 4.9b against oracle of 2.4b and baseline of 5.8b

bsearch175.0ms

Steps

Iters	Range		Point
6	6.353498946936263e-127	7.551811015156232e-126	4.6774666768330566e-126
6	-2.1119258980394874e-10	-2.4363899941582188e-11	-2.7576542716747093e-11

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	25
1	76	25
2	79	25
3	79	25

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.3s

16150×

body

valid