Details

sample74.0ms

Algorithm

intervals

Results

37.0ms

518×

body

valid

simplify147.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
4.5b	(* (* (* x 18.0) y) z)
5.0b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite32.0ms

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)
8.0ms	(* (* j 27.0) k)
7.0ms	(* (* (* x 18.0) y) z)
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
27.0ms	(* (* (* x 18.0) y) z)
115.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify66.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune346.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
4.5b	(* (* (* x 18.0) y) z)
5.0b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

rewrite31.0ms

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)
8.0ms	(* j (* 27.0 k))
7.0ms	(* (* (* x 18.0) y) z)
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
26.0ms	(* (* (* x 18.0) y) z)
115.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune553.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.1b

localize25.0ms

Local error

Found 4 expressions with local error:

5.0b	(* t (- (* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z) (* a 4.0)))
13.5b	(cbrt (* (* x 18.0) y))
13.5b	(cbrt (* (* x 18.0) y))
13.5b	(cbrt (* (* x 18.0) y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

17.0ms	(* t (- (* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z) (* a 4.0)))
4.0ms	(cbrt (* (* x 18.0) y))
4.0ms	(cbrt (* (* x 18.0) y))
4.0ms	(cbrt (* (* x 18.0) y))

series473.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* t (- (* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z) (* a 4.0)))
97.0ms	(cbrt (* (* x 18.0) y))
98.0ms	(cbrt (* (* x 18.0) y))
100.0ms	(cbrt (* (* x 18.0) y))

simplify121.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	241	696
1	861	585
2	3688	516
3	5001	511

prune376.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.1b

localize25.0ms

Local error

Found 4 expressions with local error:

5.0b	(* t (- (* (* (cbrt (* (* (* x 18.0) y) z)) (cbrt (* (* (* x 18.0) y) z))) (cbrt (* (* (* x 18.0) y) z))) (* a 4.0)))
18.6b	(cbrt (* (* (* x 18.0) y) z))
18.6b	(cbrt (* (* (* x 18.0) y) z))
18.6b	(cbrt (* (* (* x 18.0) y) z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

14.0ms	(* t (- (* (* (cbrt (* (* (* x 18.0) y) z)) (cbrt (* (* (* x 18.0) y) z))) (cbrt (* (* (* x 18.0) y) z))) (* a 4.0)))
5.0ms	(cbrt (* (* (* x 18.0) y) z))
5.0ms	(cbrt (* (* (* x 18.0) y) z))
5.0ms	(cbrt (* (* (* x 18.0) y) z))

series517.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* t (- (* (* (cbrt (* (* (* x 18.0) y) z)) (cbrt (* (* (* x 18.0) y) z))) (cbrt (* (* (* x 18.0) y) z))) (* a 4.0)))
111.0ms	(cbrt (* (* (* x 18.0) y) z))
113.0ms	(cbrt (* (* (* x 18.0) y) z))
114.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify139.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	261	813
1	914	604
2	4124	562
3	5001	562

prune353.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.1b

regimes1.0s

Accuracy

-15.9% (4.2b remaining)

Error of 6.5b against oracle of 2.4b and baseline of 6.0b

bsearch129.0ms

Steps

Iters	Range		Point
9	-2.5318934352920902e-42	-1.5610415408242284e-51	-1.1902307761485423e-42

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	35
1	63	35
2	66	35
3	66	35

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s

16272×

body

valid