Details

sample69.0ms

Algorithm

intervals

Results

34.0ms

492×

body

valid

simplify138.0ms

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

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.5b	(* (* j 27.0) k)
3.8b	(* 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:

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

series173.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 4.0) i)
17.0ms	(* (* j 27.0) k)
108.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
25.0ms	(* (* (* x 18.0) y) z)

simplify72.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	469	472
1	2324	393
2	5001	393

prune344.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt k)
0.5b	(* (* j 27.0) (* (cbrt k) (cbrt k)))
3.8b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.9b	(* (* (* x 18.0) y) z)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

1.0ms	(cbrt k)
9.0ms	(* (* j 27.0) (* (cbrt k) (cbrt k)))
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series401.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt k)
99.0ms	(* (* j 27.0) (* (cbrt k) (cbrt k)))
110.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms	(* (* (* x 18.0) y) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	454	541
1	2144	442
2	5001	426

prune423.0ms

Filtered

90 candidates to 56 candidates (62.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 4.0) i)
0.5b	(* j (* 27.0 k))
3.8b	(* 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	(* (* x 4.0) i)
5.0ms	(* j (* 27.0 k))
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series181.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 4.0) i)
17.0ms	(* j (* 27.0 k))
118.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
27.0ms	(* (* (* x 18.0) y) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	461	471
1	2213	392
2	5002	392

prune358.0ms

Filtered

93 candidates to 53 candidates (57.0%)

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.7b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt k))
0.6b	(cbrt (cbrt k))
3.8b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.9b	(* (* (* x 18.0) y) z)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`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 → 73

Calls

4 calls:

2.0ms	(cbrt (cbrt k))
2.0ms	(cbrt (cbrt k))
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series629.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (cbrt k))
247.0ms	(cbrt (cbrt k))
110.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	329	476
1	1501	417
2	5001	407

prune437.0ms

Filtered

85 candidates to 59 candidates (69.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.7b

regimes1.5s

Accuracy

51.4% (1.7b remaining)

Error of 3.9b against oracle of 2.2b and baseline of 5.8b

bsearch290.0ms

Steps

Iters	Range		Point
9	1.473194840599833e+72	4.514677905022619e+81	5.124932354136793e+74
8	-2.2146570899565097e+52	-3.0632777502250554e+49	-4.239668169788247e+49

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	45
1	63	45

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16129×

body

valid