Details

sample75.0ms

Algorithm

intervals

Results

40.0ms

525×

body

valid

simplify137.0ms

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: 6.6b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* x 18.0) y)
0.5b	(* (* x 4.0) i)
4.3b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
4.5b	(* (* (* x 18.0) y) z)

rewrite27.0ms

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	(* (* x 4.0) i)
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series189.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
19.0ms	(* (* x 4.0) i)
126.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
25.0ms	(* (* (* x 18.0) y) z)

simplify65.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	399	472
1	2129	393
2	5001	393

prune313.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.5b	(* (* x 4.0) i)
4.3b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.5b	(* (* 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	(* (* x 4.0) i)
9.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
7.0ms	(* (* x (* 18.0 y)) z)

series178.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (* 18.0 y))
22.0ms	(* (* x 4.0) i)
110.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
26.0ms	(* (* x (* 18.0 y)) z)

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	397	472
1	1933	393
2	5001	393

prune288.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* j 27.0) k)
0.2b	(* x (* 18.0 y))
4.3b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.5b	(* (* x (* 18.0 y)) z)

rewrite27.0ms

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

series166.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(* (* j 27.0) k)
18.0ms	(* x (* 18.0 y))
104.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
28.0ms	(* (* x (* 18.0 y)) z)

simplify57.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune304.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* j (* 27.0 k))
0.2b	(* x (* 18.0 y))
4.3b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
4.5b	(* (* x (* 18.0 y)) z)

rewrite27.0ms

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-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
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	(* j (* 27.0 k))
5.0ms	(* x (* 18.0 y))
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:

16.0ms	(* j (* 27.0 k))
19.0ms	(* x (* 18.0 y))
113.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
25.0ms	(* (* x (* 18.0 y)) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	396	471
1	1834	392
2	5001	392

prune293.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.0b

regimes963.0ms

Accuracy

14.7% (3.3b remaining)

Error of 5.5b against oracle of 2.2b and baseline of 6.0b

bsearch198.0ms

Steps

Iters	Range		Point
9	1.3497861399249418e-147	2.7922230442177393e-138	3.4945715541494775e-145
6	-7.245994699686375e-234	-7.240216106353492e-235	-2.097165708375682e-234

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	45
1	79	45
2	79	45

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

16069×

body

valid