Details

sample115.0ms

Algorithm

intervals

Results

57.0ms

543×

body

valid

simplify136.0ms

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

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
3.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite124.0ms

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:

6.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
85.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
24.0ms	(* (* (* x 18.0) y) z)

series237.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x 18.0) y)
33.0ms	(* (* j 27.0) k)
148.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms	(* (* (* x 18.0) y) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune341.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
3.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite128.0ms

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:

6.0ms	(* (* x 18.0) y)
6.0ms	(* j (* 27.0 k))
88.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
25.0ms	(* (* (* x 18.0) y) z)

series183.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
22.0ms	(* j (* 27.0 k))
114.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
27.0ms	(* (* (* 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

prune342.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.7b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt j)
0.6b	(cbrt j)
3.6b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.4b	(* (* (* x 18.0) y) z)

rewrite115.0ms

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:

0.0ms	(cbrt j)
1.0ms	(cbrt j)
87.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
25.0ms	(* (* (* x 18.0) y) z)

series508.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt j)
185.0ms	(cbrt j)
115.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
27.0ms	(* (* (* x 18.0) y) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (43.0ms)

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

prune404.0ms

Filtered

79 candidates to 55 candidates (69.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 2.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.5b	(* (* j 27.0) k)
3.6b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.4b	(* (* x (* 18.0 y)) z)

rewrite108.0ms

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:

6.0ms	(* x (* 18.0 y))
7.0ms	(* (* j 27.0) k)
75.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
18.0ms	(* (* x (* 18.0 y)) z)

series184.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* 18.0 y))
17.0ms	(* (* j 27.0) k)
116.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
31.0ms	(* (* x (* 18.0 y)) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune292.0ms

Filtered

93 candidates to 49 candidates (52.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 2.7b

regimes1.2s

Accuracy

49.3% (1.8b remaining)

Error of 4.0b against oracle of 2.2b and baseline of 5.8b

bsearch300.0ms

Steps

Iters	Range		Point
10	5.1862691241603325e+70	1.0117685952169479e+81	7.892774821851951e+70
9	-2.7842998296533542e-81	-1.988845692823219e-90	-1.2918905658756634e-81

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	28
1	64	28

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s

16119×

body

valid