Details

sample57.0ms

Algorithm

intervals

Results

34.0ms

428×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

2.0ms	(+ (* x y) (* z t))
11.0ms	(+ (+ (* x y) (* z t)) (* a b))
43.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series289.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x y) (* z t))
54.0ms	(+ (+ (* x y) (* z t)) (* a b))
202.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify36.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune135.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite77.0ms

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:

56.0ms	(* (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)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (cbrt (+ (+ (* x y) (* z t)) (* a b))) (cbrt (+ (+ (* x y) (* z t)) (* a b))))
113.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
114.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
113.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

simplify115.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (103.0ms)

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

prune356.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))

rewrite29.0ms

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:

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

series463.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(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)))
116.0ms	(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

prune325.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.8b	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
0.9b	(pow (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))) 4)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

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)))
17.0ms	(pow (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))) 4)

series596.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
116.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
114.0ms	(cbrt (+ (+ (* x y) (* z t)) (* a b)))
249.0ms	(pow (cbrt (cbrt (+ (+ (* x y) (* z t)) (* a b)))) 4)

simplify89.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	279	853
1	829	782
2	3070	740
3	5001	729

prune339.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes522.0ms

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	22	7
1	22	7

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.1s

13656×

body

valid