Details

sample77.0ms

Algorithm

intervals

Results

32.0ms

499×

body

valid

simplify145.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize24.0ms

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)))
3.8b	(* (* (* x 18.0) y) z)

rewrite290.0ms

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:

17.0ms	(* (* x 18.0) y)
16.0ms	(* (* j 27.0) k)
199.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
54.0ms	(* (* (* x 18.0) y) z)

series187.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
116.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
29.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune322.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

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)))
3.8b	(* (* (* x 18.0) y) z)

rewrite288.0ms

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:

17.0ms	(* (* x 18.0) y)
16.0ms	(* j (* 27.0 k))
199.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
53.0ms	(* (* (* x 18.0) y) z)

series183.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
21.0ms	(* j (* 27.0 k))
114.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune318.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

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)))
3.8b	(* (* x (* 18.0 y)) z)

rewrite251.0ms

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:

15.0ms	(* x (* 18.0 y))
17.0ms	(* (* j 27.0) k)
170.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
45.0ms	(* (* x (* 18.0 y)) z)

series182.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* x (* 18.0 y))
18.0ms	(* (* j 27.0) k)
115.0ms	(* 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 (11.0ms)

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

prune316.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.5b

localize27.0ms

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)))
3.8b	(* (* (* x 18.0) y) z)

rewrite252.0ms

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)
195.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
53.0ms	(* (* (* x 18.0) y) z)

series490.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt j)
177.0ms	(cbrt j)
114.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (41.0ms)

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

prune327.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.5b

regimes929.0ms

Accuracy

21.7% (2.6b remaining)

Error of 4.8b against oracle of 2.2b and baseline of 5.5b

bsearch153.0ms

Steps

Iters	Range		Point
1	1.282502048987904e-107	1.3622624959172323e-107	1.302442160720236e-107
10	-9.79192658284743e-125	-9.554323149868755e-136	-7.134460016204639e-127

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	75	45
1	85	45
2	88	45
3	88	45

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.0s

16150×

body

valid