Details

Time bar (total: 3.8s)

sample34.0ms

Algorithm
intervals
Results
13.0ms83×body1280valid
6.0ms58×body640valid
3.0ms21×body2560valid
2.0ms64×body80valid
1.0ms20×body320valid
0.0ms10×body160valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1435
2915
31945
43215
55795
610885
713055
813055

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 46.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
11.3b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
7×*-un-lft-identity
4×add-sqr-sqrt sum-log
3×diff-log
2×pow1 add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out--
1×+-commutative sub-neg flip3-- flip3-+ flip-- flip-+ distribute-lft-out associate--r+ difference-of-squares
Counts
2 → 29
Calls
2 calls:
3.0ms
(+ (* x y) z)
21.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series61.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ (* x y) z)
40.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify58.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0178220
1602204
22697203
35001203

prune86.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 45.4b

localize11.0ms

Local error

Found 4 expressions with local error:

9.1b
(cbrt (+ (* x y) z))
9.1b
(cbrt (+ (* x y) z))
9.1b
(cbrt (+ (* x y) z))
33.8b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-log-exp
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log add-cbrt-cube
3×flip3-+ pow1/3 flip-+
2×diff-log
1×sub-neg flip3-- sum-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 55
Calls
4 calls:
2.0ms
(cbrt (+ (* x y) z))
3.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
6.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (+ (* x y) z))
103.0ms
(cbrt (+ (* x y) z))
108.0ms
(cbrt (+ (* x y) z))
37.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0238686
1653594
22161559
35002523

prune273.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 45.3b

localize17.0ms

Local error

Found 4 expressions with local error:

9.1b
(cbrt (+ (* x y) z))
33.8b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
33.8b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
33.8b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
11×add-sqr-sqrt *-un-lft-identity
6×diff-log
5×add-cube-cbrt
4×pow1 add-exp-log add-cbrt-cube
3×cbrt-prod sub-neg flip3-- sum-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
2×cbrt-div
1×flip3-+ pow1/3 flip-+
Counts
4 → 61
Calls
4 calls:
3.0ms
(cbrt (+ (* x y) z))
5.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
5.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
6.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series222.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (+ (* x y) z))
36.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
37.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))
40.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
02381186
1653966
22161909
35002809

prune336.0ms

Pruning

24 alts after pruning (21 fresh and 3 done)

Merged error: 45.3b

localize21.0ms

Local error

Found 4 expressions with local error:

9.1b
(cbrt (+ (* x y) z))
9.1b
(cbrt (+ (* x y) z))
9.1b
(cbrt (+ (* x y) z))
34.3b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-log-exp
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log add-cbrt-cube
3×flip3-+ pow1/3 flip-+
2×diff-log
1×sub-neg flip3-- sum-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 55
Calls
4 calls:
2.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
2.0ms
(cbrt (+ (* x y) z))
6.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

series353.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(cbrt (+ (* x y) z))
103.0ms
(cbrt (+ (* x y) z))
104.0ms
(cbrt (+ (* x y) z))
38.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0247916
1678846
22433828
35002825

prune267.0ms

Pruning

31 alts after pruning (28 fresh and 3 done)

Merged error: 45.2b

regimes566.0ms

Accuracy

0% (0.7b remaining)

Error of 45.6b against oracle of 44.9b and baseline of 45.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample869.0ms

Algorithm
intervals
Results
319.0ms2599×body1280valid
161.0ms1608×body640valid
101.0ms651×body2560valid
53.0ms2023×body80valid
52.0ms719×body320valid
20.0ms400×body160valid