Details

sample28.0ms

Algorithm

intervals

Results

11.0ms

371×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

2.0ms	(+ (* x y) (* z t))
10.0ms	(+ (+ (* x y) (* z t)) (* a b))

series86.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* x y) (* z t))
54.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify77.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

54.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
6.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
6.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
7.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series531.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
115.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
116.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
111.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify109.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	309	1413
1	1083	1317
2	4413	1198
3	5002	1187

prune300.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.5b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

6.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
6.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
6.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
6.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
165.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
112.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
128.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify50.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	154	700
1	434	648
2	1431	616
3	5001	612

prune286.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
0.3b	(pow (+ (* x y) (* z t)) 3)
34.3b	(cbrt (pow (+ (* x y) (* z t)) 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`add-log-exp`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sum-log` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 70

Calls

4 calls:

2.0ms	(+ (* x y) (* z t))
26.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
4.0ms	(pow (+ (* x y) (* z t)) 3)
4.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

series243.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* x y) (* z t))
55.0ms	(+ (cbrt (pow (+ (* x y) (* z t)) 3)) (* a b))
120.0ms	(pow (+ (* x y) (* z t)) 3)
36.0ms	(cbrt (pow (+ (* x y) (* z t)) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	340	578
1	1694	519
2	5001	513

prune193.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes326.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms

sample907.0ms

Algorithm

intervals

Results

503.0ms

11927×

body

valid