Details

Time bar (total: 4.2s)

sample33.0ms

Algorithm
intervals
Results
14.0ms371×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0267
1576
2956
31166
41186
51186

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize199.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ t (* z b))
0.0b
(+ x (* a (+ t (* z b))))
0.0b
(+ (* y z) (+ x (* a (+ t (* z b)))))
1.3b
(* a (+ t (* z b)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×sum-log
4×flip3-+ flip-+
3×+-commutative associate-+r+ associate-*r* associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 59
Calls
4 calls:
2.0ms
(+ t (* z b))
2.0ms
(+ x (* a (+ t (* z b))))
6.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
7.0ms
(* a (+ t (* z b)))

series233.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ t (* z b))
66.0ms
(+ x (* a (+ t (* z b))))
89.0ms
(+ (* y z) (+ x (* a (+ t (* z b)))))
53.0ms
(* a (+ t (* z b)))

simplify46.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0325392
11353363
25001363

prune177.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.3b
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
1.8b
(cbrt (+ t (* z b)))
1.8b
(cbrt (+ t (* z b)))
1.8b
(cbrt (+ t (* z b)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
34×associate-*r/
30×flip3-+ flip-+
28×frac-times
14×associate-*l/
13×pow1 add-exp-log
9×cbrt-prod add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 86
Calls
4 calls:
80.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
4.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))

series364.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* a (* (* (cbrt (+ t (* z b))) (cbrt (+ t (* z b)))) (cbrt (+ t (* z b)))))
103.0ms
(cbrt (+ t (* z b)))
102.0ms
(cbrt (+ t (* z b)))
104.0ms
(cbrt (+ t (* z b)))

simplify106.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
04371143
112401039
24398944
35001925

prune351.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.8b
(cbrt (+ t (* z b)))
1.8b
(cbrt (+ t (* z b)))
1.8b
(cbrt (+ t (* z b)))
1.8b
(cbrt (+ t (* z b)))

rewrite8.0ms

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:
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))
2.0ms
(cbrt (+ t (* z b)))

series430.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (+ t (* z b)))
106.0ms
(cbrt (+ t (* z b)))
107.0ms
(cbrt (+ t (* z b)))
109.0ms
(cbrt (+ t (* z b)))

simplify157.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (151.0ms)

IterNodesCost
0169484
1434456
21396424
34733388
45001384

prune318.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
5.8b
(* (* a z) b)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
17×add-log-exp
9×sum-log
8×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×+-commutative associate-+l+ flip3-+ flip-+
1×associate-*l* *-commutative
Counts
3 → 45
Calls
3 calls:
12.0ms
(+ (+ x (* y z)) (* t a))
38.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
6.0ms
(* (* a z) b)

series152.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ (+ x (* y z)) (* t a))
83.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
25.0ms
(* (* a z) b)

simplify48.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0281329
11444298
25001297

prune139.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes261.0ms

Accuracy

0% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0186
1186

end0.0ms

sample909.0ms

Algorithm
intervals
Results
472.0ms11838×body80valid