Details

Time bar (total: 5.3s)

sample52.0ms

Algorithm
intervals
Results
19.0ms245×body80nan
17.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0217
1337
2427
3447
4447

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.8b
(+ (* x y) (* x z))
2.6b
(+ (+ (* x y) (* x z)) (* y z))
22.3b
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
5×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity sum-log
3×add-exp-log flip3-+ sqrt-prod add-cbrt-cube flip-+
2×+-commutative sqrt-div
1×rem-sqrt-square associate-+l+ sqrt-pow1 pow1/2 distribute-lft-out
Counts
3 → 40
Calls
3 calls:
2.0ms
(+ (* x y) (* x z))
11.0ms
(+ (+ (* x y) (* x z)) (* y z))
13.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series171.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (* x y) (* x z))
26.0ms
(+ (+ (* x y) (* x z)) (* y z))
112.0ms
(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify123.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0249355
1908322
23660314
35001314

prune143.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 23.5b

localize13.0ms

Local error

Found 4 expressions with local error:

17.7b
(cbrt (+ (* x y) (* x z)))
17.7b
(cbrt (+ (* x y) (* x z)))
17.7b
(cbrt (+ (* x y) (* x z)))
22.3b
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×pow1/3 sqrt-prod distribute-lft-out
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 57
Calls
4 calls:
2.0ms
(cbrt (+ (* x y) (* x z)))
2.0ms
(cbrt (+ (* x y) (* x z)))
2.0ms
(cbrt (+ (* x y) (* x z)))
58.0ms
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series463.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (+ (* x y) (* x z)))
116.0ms
(cbrt (+ (* x y) (* x z)))
113.0ms
(cbrt (+ (* x y) (* x z)))
113.0ms
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0273794
1752735
22412714
35001710

prune282.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 23.5b

localize18.0ms

Local error

Found 4 expressions with local error:

17.7b
(cbrt (+ (* x y) (* x z)))
17.7b
(cbrt (+ (* x y) (* x z)))
17.7b
(cbrt (+ (* x y) (* x z)))
22.3b
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×pow1/3 sqrt-prod distribute-lft-out
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 57
Calls
4 calls:
2.0ms
(cbrt (+ (* x y) (* x z)))
2.0ms
(cbrt (+ (* x y) (* x z)))
2.0ms
(cbrt (+ (* x y) (* x z)))
111.0ms
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

series472.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(cbrt (+ (* x y) (* x z)))
118.0ms
(cbrt (+ (* x y) (* x z)))
118.0ms
(cbrt (+ (* x y) (* x z)))
120.0ms
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

simplify119.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
02821046
1854984
23182954
35001950

prune359.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 23.5b

localize18.0ms

Local error

Found 4 expressions with local error:

17.7b
(cbrt (+ (* x y) (* x z)))
17.7b
(cbrt (+ (* x y) (* x z)))
17.7b
(cbrt (+ (* x y) (* x z)))
22.3b
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (* (cbrt (cbrt (+ (* x y) (* x z)))) (cbrt (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
3×pow1/3 sqrt-prod distribute-lft-out
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 57
Calls
4 calls:
2.0ms
(cbrt (+ (* x y) (* x z)))
2.0ms
(cbrt (+ (* x y) (* x z)))
2.0ms
(cbrt (+ (* x y) (* x z)))
252.0ms
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (* (cbrt (cbrt (+ (* x y) (* x z)))) (cbrt (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

series459.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(cbrt (+ (* x y) (* x z)))
113.0ms
(cbrt (+ (* x y) (* x z)))
114.0ms
(cbrt (+ (* x y) (* x z)))
111.0ms
(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (* (cbrt (cbrt (+ (* x y) (* x z)))) (cbrt (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

simplify96.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
02821068
18561005
23216975
35001968

prune301.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 23.5b

regimes216.0ms

Accuracy

0% (0.1b remaining)

Error of 19.6b against oracle of 19.5b and baseline of 19.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample1.4s

Algorithm
intervals
Results
545.0ms7977×body80nan
544.0ms8000×body80valid