Details

sample72.0ms

Algorithm

intervals

Results

37.0ms

510×

body

valid

simplify139.0ms

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

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

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.4b	(* (* j 27.0) k)
3.1b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.5b	(* (* (* 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:

19.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
109.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune319.0ms

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: 1.6b

Counts

94 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
3.1b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.5b	(* (* (* 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	(* (* 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:

19.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
109.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
30.0ms	(* (* (* x 18.0) y) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune323.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Merged error: 1.6b

Counts

100 → 8

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.4b	(* (* j 27.0) k)
3.1b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
5.5b	(* (* 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`
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)

series183.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* 18.0 y))
17.0ms	(* (* j 27.0) k)
117.0ms	(* 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 (12.0ms)

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

prune303.0ms

Filtered

93 candidates to 50 candidates (53.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	91	2	93
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	94	7	101

Merged error: 1.6b

Counts

101 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

5.5b	(* (* (* x 18.0) y) z)
8.2b	(cbrt (* (* j 27.0) k))
8.2b	(cbrt (* (* j 27.0) k))
8.2b	(cbrt (* (* j 27.0) k))

rewrite20.0ms

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:

7.0ms	(* (* (* 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))

series307.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* (* x 18.0) y) z)
96.0ms	(cbrt (* (* j 27.0) k))
92.0ms	(cbrt (* (* j 27.0) k))
93.0ms	(cbrt (* (* j 27.0) k))

simplify37.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (32.0ms)

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

prune298.0ms

Filtered

60 candidates to 47 candidates (78.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	60	7	67

Merged error: 1.6b

Counts

67 → 7

regimes836.0ms

Accuracy

47.1% (1.5b remaining)

Error of 4.5b against oracle of 3.0b and baseline of 5.9b

bsearch220.0ms

Steps

Iters	Range		Point
9	5.633863048964624e-132	5.6274658287191175e-126	1.4234722482215616e-131
6	-2.7036907453770258e-114	-1.6902579985282683e-115	-2.42866793610458e-115

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	34
1	76	34
2	79	34
3	79	34

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16062×

body

valid