Details

sample71.0ms

Algorithm

intervals

Results

35.0ms

522×

body

valid

simplify146.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.1b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
5.7b	(* (* (* x 18.0) y) z)

rewrite127.0ms

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 18.0) y)
7.0ms	(* (* j 27.0) k)
87.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
25.0ms	(* (* (* x 18.0) y) z)

series192.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
19.0ms	(* (* j 27.0) k)
113.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
41.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune329.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* (* j 27.0) k)
4.1b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
5.7b	(* (* x (* 18.0 y)) z)

rewrite110.0ms

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:

8.0ms	(* x (* 18.0 y))
7.0ms	(* (* j 27.0) k)
72.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
22.0ms	(* (* x (* 18.0 y)) z)

series184.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* x (* 18.0 y))
17.0ms	(* (* j 27.0) k)
116.0ms	(* 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 (12.0ms)

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

prune325.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.3b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.2b	(* j (* 27.0 k))
4.1b	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
5.7b	(* (* x (* 18.0 y)) z)

rewrite106.0ms

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:

6.0ms	(* x (* 18.0 y))
6.0ms	(* j (* 27.0 k))
73.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
18.0ms	(* (* x (* 18.0 y)) z)

series183.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* 18.0 y))
17.0ms	(* j (* 27.0 k))
118.0ms	(* t (- (* (* x (* 18.0 y)) z) (* a 4.0)))
27.0ms	(* (* 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

prune322.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
4.1b	(* t (- (* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z) (* a 4.0)))
5.7b	(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z)

rewrite958.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
20×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
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 → 76

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
762.0ms	(* t (- (* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z) (* a 4.0)))
192.0ms	(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z)

series577.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt y)
184.0ms	(cbrt y)
154.0ms	(* t (- (* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z) (* a 4.0)))
53.0ms	(* (* (* (* x 18.0) (* (cbrt y) (cbrt y))) (cbrt y)) z)

simplify70.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	421	771
1	2078	610
2	5001	541

prune380.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 2.3b

regimes786.0ms

Accuracy

26.9% (2.4b remaining)

Error of 4.4b against oracle of 2.0b and baseline of 5.3b

bsearch126.0ms

Steps

Iters	Range		Point
8	1.3317009718324972e-21	4.002552880022194e-18	2.2338909131373625e-21

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	34
1	64	34
2	64	34

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s

15886×

body

valid