Details

sample80.0ms

Algorithm

intervals

Results

39.0ms

539×

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: 6.2b

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)))
4.9b	(* (* (* x 18.0) y) z)

rewrite128.0ms

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:

8.0ms	(* (* x 18.0) y)
7.0ms	(* (* j 27.0) k)
86.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
25.0ms	(* (* (* x 18.0) y) z)

series183.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
113.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
27.0ms	(* (* (* 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

prune335.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.0b

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)))
4.9b	(* (* (* x 18.0) y) z)

rewrite126.0ms

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)
6.0ms	(* j (* 27.0 k))
85.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
25.0ms	(* (* (* x 18.0) y) z)

series179.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
112.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms	(* (* (* x 18.0) y) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune331.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

localize25.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* (* x 18.0) y) z)
16.5b	(cbrt (* (* (* x 18.0) y) z))
16.5b	(cbrt (* (* (* x 18.0) y) z))
16.5b	(cbrt (* (* (* x 18.0) y) z))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 48

Calls

4 calls:

22.0ms	(* (* (* x 18.0) y) z)
19.0ms	(cbrt (* (* (* x 18.0) y) z))
19.0ms	(cbrt (* (* (* x 18.0) y) z))
22.0ms	(cbrt (* (* (* x 18.0) y) z))

series360.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (* (* x 18.0) y) z)
110.0ms	(cbrt (* (* (* x 18.0) y) z))
115.0ms	(cbrt (* (* (* x 18.0) y) z))
109.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify38.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	242	374
1	1048	319
2	5002	310

prune380.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.9b

localize25.0ms

Local error

Found 4 expressions with local error:

4.9b	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
12.2b	(cbrt (* (* x 18.0) y))
12.2b	(cbrt (* (* x 18.0) y))
12.2b	(cbrt (* (* x 18.0) y))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 48

Calls

4 calls:

63.0ms	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
5.0ms	(cbrt (* (* x 18.0) y))
5.0ms	(cbrt (* (* x 18.0) y))
6.0ms	(cbrt (* (* x 18.0) y))

series367.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
96.0ms	(cbrt (* (* x 18.0) y))
95.0ms	(cbrt (* (* x 18.0) y))
96.0ms	(cbrt (* (* x 18.0) y))

simplify116.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	212	532
1	826	394
2	4345	315
3	5002	300

prune317.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 1.9b

regimes1.0s

Accuracy

20.4% (2.6b remaining)

Error of 4.6b against oracle of 2.1b and baseline of 5.3b

bsearch245.0ms

Steps

Iters	Range		Point
10	7.320640770367206e-77	3.336902614120168e-65	1.2403457310672628e-70
6	-1.5073358491969284e-201	-1.4831394625346736e-202	-2.3859305432149377e-202

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	39
1	80	39
2	83	39
3	83	39

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s

16045×

body

valid