Details

sample76.0ms

Algorithm

intervals

Results

38.0ms

520×

body

valid

simplify147.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune10.0ms

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: 6.1b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* 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	(* (* 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)

series174.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
107.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune276.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	86	7	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	7	94

Merged error: 2.5b

Counts

94 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.3b	(* x (* 18.0 y))
4.6b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
5.1b	(* (* 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	(* (* j 27.0) k)
5.0ms	(* x (* 18.0 y))
9.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
7.0ms	(* (* x (* 18.0 y)) z)

series172.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (* j 27.0) k)
19.0ms	(* x (* 18.0 y))
108.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
28.0ms	(* (* x (* 18.0 y)) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune238.0ms

Filtered

93 candidates to 49 candidates (52.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	93	7	100

Merged error: 2.5b

Counts

100 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* (* x 18.0) y) z)
11.2b	(cbrt (* (* j 27.0) k))
11.2b	(cbrt (* (* j 27.0) k))
11.2b	(cbrt (* (* j 27.0) k))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 48

Calls

4 calls:

9.0ms	(* (* (* x 18.0) y) z)
4.0ms	(cbrt (* (* j 27.0) k))
4.0ms	(cbrt (* (* j 27.0) k))
4.0ms	(cbrt (* (* j 27.0) k))

series302.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* (* x 18.0) y) z)
92.0ms	(cbrt (* (* j 27.0) k))
94.0ms	(cbrt (* (* j 27.0) k))
91.0ms	(cbrt (* (* j 27.0) k))

simplify35.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	235	317
1	974	268
2	5002	244

prune287.0ms

Filtered

60 candidates to 47 candidates (78.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	60	7	67

Merged error: 2.5b

Counts

67 → 7

localize33.0ms

Local error

Found 4 expressions with local error:

4.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.1b	(* (* (* x 18.0) y) z)
11.2b	(cbrt (* (* j 27.0) k))
11.2b	(cbrt (* (* j 27.0) k))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-r`
4×	`associate-l` `add-log-exp`
2×	`cbrt-prod` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `pow1/3` `associate-r/` `-commutative`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

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

series334.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms	(* (* (* x 18.0) y) z)
96.0ms	(cbrt (* (* j 27.0) k))
94.0ms	(cbrt (* (* j 27.0) k))

simplify53.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	366	464
1	1584	401
2	5001	385

prune349.0ms

Filtered

75 candidates to 53 candidates (70.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	75	7	82

Merged error: 2.5b

Counts

82 → 7

regimes712.0ms

Accuracy

27.3% (2.7b remaining)

Error of 4.8b against oracle of 2.2b and baseline of 5.8b

bsearch179.0ms

Steps

Iters	Range		Point
5	4.7255783565931987e-194	1.223746463382693e-193	9.572434128042683e-194
7	-1.3363040881542347e-200	-8.279422604866021e-202	-3.014858469198638e-201

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	49
1	89	49
2	92	49
3	92	49

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16042×

body

valid