Details

sample75.0ms

Algorithm

intervals

Results

37.0ms

520×

body

valid

simplify150.0ms

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

prune11.0ms

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: 5.9b

Counts

2 → 1

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
3.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.9b	(* (* (* 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 18.0) y)
5.0ms	(* (* j 27.0) k)
10.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series202.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
22.0ms	(* (* j 27.0) k)
128.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
30.0ms	(* (* (* x 18.0) y) z)

simplify69.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

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

prune326.0ms

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: 1.3b

Counts

94 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.3b	(* (* x 18.0) y)
3.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.9b	(* (* (* 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`
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)

series194.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* j (* 27.0 k))
22.0ms	(* (* x 18.0) y)
125.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify70.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (15.0ms)

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

prune309.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 1.3b

Counts

100 → 8

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt j)
0.6b	(cbrt j)
3.7b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.9b	(* (* (* x 18.0) y) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

1.0ms	(cbrt j)
1.0ms	(cbrt j)
10.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series550.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt j)
200.0ms	(cbrt j)
126.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify54.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	316	406
1	1497	351
2	5001	345

prune376.0ms

Filtered

79 candidates to 55 candidates (69.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	78	9	87

Merged error: 1.3b

Counts

87 → 9

localize35.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (* (* x 18.0) y) z)
4.1b	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.1b	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.1b	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`flip3--` `pow1/3` `associate-r` `flip--`
1×	`associate-l` `*-commutative`

Counts

4 → 60

Calls

4 calls:

7.0ms	(* (* (* x 18.0) y) z)
6.0ms	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))

series685.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* (* x 18.0) y) z)
221.0ms	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
213.0ms	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))
221.0ms	(cbrt (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	293	667
1	1284	607
2	5001	592

prune393.0ms

Filtered

72 candidates to 56 candidates (77.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	72	9	81

Merged error: 1.3b

Counts

81 → 9

regimes1.2s

Accuracy

31.3% (2.6b remaining)

Error of 4.5b against oracle of 2.0b and baseline of 5.7b

bsearch263.0ms

Steps

Iters	Range		Point
8	4.0788763279964675e-171	7.617570125143691e-168	2.1191774835562953e-168
8	-1.888200833399696e-30	-1.5455493923281505e-33	-6.08335225107628e-33

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	63
1	84	63
2	87	63
3	87	63

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16100×

body

valid