Details

sample56.0ms

Algorithm

intervals

Results

33.0ms

431×

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))
10.0ms	(+ (+ (* x y) (* z t)) (* a b))
43.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

series298.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x y) (* z t))
55.0ms	(+ (+ (* x y) (* z t)) (* a b))
211.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

simplify36.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (8.0ms)

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

prune134.0ms

Pruning

2 alts after pruning (1 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)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

rewrite294.0ms

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:

211.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
31.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
26.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
24.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

series439.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(* (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
97.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
98.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
101.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))

simplify118.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	282	1777
1	1019	1653
2	4836	1516
3	5001	1506

prune348.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.6b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

24.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
27.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
25.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
24.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series404.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
103.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
101.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
102.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify68.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	212	1124
1	587	1050
2	2450	1018
3	5001	1014

prune363.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.6b	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

24.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
24.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
26.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
25.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series403.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
101.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
100.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
101.0ms	(cbrt (cbrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify71.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	174	1204
1	507	1128
2	2275	1096
3	5001	1092

prune386.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes467.0ms

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

13616×

body

valid