Details

Time bar (total: 6.1s)

sample25.0ms

Algorithm
intervals
Results
11.0ms341×body80valid
0.0ms3×body640valid
0.0ms2×body1280valid
0.0ms2×body320valid
0.0ms1×body160valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0307
1867
22837
37427
411977
512737
612737

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b
(+ (+ (+ y z) z) y)
0.0b
(+ (+ y z) z)
0.1b
(* x (+ (+ (+ (+ y z) z) y) t))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
20×add-log-exp
19×distribute-lft-out
10×sum-log
8×add-sqr-sqrt
7×associate-*r*
6×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
4×associate-+l+ flip3-+ flip-+
3×+-commutative associate-*l*
2×distribute-rgt-in distribute-lft-in associate-*r/
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 71
Calls
4 calls:
15.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
9.0ms
(+ (+ (+ y z) z) y)
6.0ms
(+ (+ y z) z)
14.0ms
(* x (+ (+ (+ (+ y z) z) y) t))

series161.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
32.0ms
(+ (+ (+ y z) z) y)
24.0ms
(+ (+ y z) z)
43.0ms
(* x (+ (+ (+ (+ y z) z) y) t))

simplify51.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0374480
11624434
25001419

prune183.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))
0.0b
(* x (+ (+ (+ y z) z) y))
0.0b
(+ (+ (+ y z) z) y)
0.0b
(+ (+ y z) z)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
23×add-log-exp
15×distribute-lft-out
12×sum-log
8×add-sqr-sqrt flip3-+ flip-+
6×pow1 add-exp-log add-cube-cbrt associate-*r/ associate-*r* add-cbrt-cube
4×associate-+l+ frac-add
3×+-commutative associate-*l*
2×distribute-rgt-in distribute-lft-in
1×associate-+r+ pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 76
Calls
4 calls:
14.0ms
(+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))
11.0ms
(* x (+ (+ (+ y z) z) y))
8.0ms
(+ (+ (+ y z) z) y)
6.0ms
(+ (+ y z) z)

series160.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))
49.0ms
(* x (+ (+ (+ y z) z) y))
30.0ms
(+ (+ (+ y z) z) y)
26.0ms
(+ (+ y z) z)

simplify74.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
0489666
12387613
25002601

prune216.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))) (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))))
0.5b
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
0.5b
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
0.5b
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-div
85×flip3-+ flip-+
74×associate-*r/
68×frac-add
36×frac-times
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l* associate-*l/
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 139
Calls
4 calls:
30.0ms
(* (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))) (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))))
12.0ms
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
13.0ms
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
13.0ms
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
403.0ms
(* (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))) (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))))
284.0ms
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
279.0ms
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
274.0ms
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))

simplify113.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06715993
126445858
250015741

prune644.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
0.5b
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
0.6b
(cbrt (* (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))) (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))))
0.6b
(cbrt (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
156×cbrt-div
85×flip3-+ flip-+
74×associate-*r/
68×frac-add
36×frac-times
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l/
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 111
Calls
4 calls:
13.0ms
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
12.0ms
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
30.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))) (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))))
13.0ms
(cbrt (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
296.0ms
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
283.0ms
(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
399.0ms
(cbrt (* (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))) (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))))
310.0ms
(cbrt (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))))

simplify106.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
08125768
125555662
250015652

prune695.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes168.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample658.0ms

Algorithm
intervals
Results
336.0ms10601×body80valid
15.0ms121×body640valid
10.0ms70×body1280valid
5.0ms64×body320valid
2.0ms31×body160valid