Details

sample74.0ms

Algorithm

intervals

Results

37.0ms

515×

body

valid

simplify144.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite122.0ms

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)
86.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
21.0ms	(* (* (* x 18.0) y) z)

series179.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
110.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify62.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune516.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* x 18.0) (* y z)) (* a 4.0))
0.2b	(* (* j 27.0) k)
3.6b	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
4.4b	(* (* x 18.0) (* y z))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

10.0ms	(- (* (* x 18.0) (* y z)) (* a 4.0))
7.0ms	(* (* j 27.0) k)
39.0ms	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
10.0ms	(* (* x 18.0) (* y z))

series233.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(- (* (* x 18.0) (* y z)) (* a 4.0))
20.0ms	(* (* j 27.0) k)
111.0ms	(* t (- (* (* x 18.0) (* y z)) (* a 4.0)))
26.0ms	(* (* x 18.0) (* y z))

simplify58.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	394	528
1	1826	446
2	5001	444

prune312.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.7b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite121.0ms

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))
86.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
21.0ms	(* (* (* x 18.0) y) z)

series177.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
114.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms	(* (* (* x 18.0) y) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune328.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 2.7b

localize31.0ms

Local error

Found 4 expressions with local error:

4.1b	(cbrt (- (* (* x 18.0) (* y z)) (* a 4.0)))
4.4b	(* (* x 18.0) (* y z))
4.4b	(* (* x 18.0) (* y z))
4.4b	(* (* x 18.0) (* y z))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

40×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `associate-r` `associate-l` `*-commutative`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 79

Calls

4 calls:

9.0ms	(cbrt (- (* (* x 18.0) (* y z)) (* a 4.0)))
10.0ms	(* (* x 18.0) (* y z))
10.0ms	(* (* x 18.0) (* y z))
10.0ms	(* (* x 18.0) (* y z))

series275.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt (- (* (* x 18.0) (* y z)) (* a 4.0)))
26.0ms	(* (* x 18.0) (* y z))
30.0ms	(* (* x 18.0) (* y z))
27.0ms	(* (* x 18.0) (* y z))

simplify42.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	284	532
1	1103	435
2	5002	431

prune334.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.7b

regimes967.0ms

Accuracy

40.4% (2.4b remaining)

Error of 4.8b against oracle of 2.4b and baseline of 6.5b

bsearch235.0ms

Steps

Iters	Range		Point
7	6.303624510693865e-143	1.2632982233271395e-141	5.716951769289909e-142
9	-1.7231307467541279e-127	-1.5054313574613101e-133	-4.057206776567972e-131

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	39
1	78	39
2	81	39
3	81	39

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

16076×

body

valid