Details

Time bar (total: 4.1s)

sample33.0ms

Algorithm
intervals
Results
11.0ms94×body1280valid
4.0ms43×body640valid
3.0ms20×body2560valid
2.0ms70×body80valid
1.0ms18×body320valid
1.0ms11×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: 44.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
10.6b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite62.0ms

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:
8.0ms
(+ (* x y) z)
53.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series57.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (* x y) z)
34.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0178220
1602204
22697203
35001203

prune86.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 43.9b

localize12.0ms

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))
33.6b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite35.0ms

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:
6.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))
16.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series340.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (+ (* x y) z))
103.0ms
(cbrt (+ (* x y) z))
100.0ms
(cbrt (+ (* x y) z))
35.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0238686
1653594
22161559
35002523

prune285.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 43.7b

localize17.0ms

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))
32.7b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

rewrite36.0ms

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:
6.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))
18.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (+ (* x y) z))
100.0ms
(cbrt (+ (* x y) z))
99.0ms
(cbrt (+ (* x y) z))
35.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))) (cbrt (+ (* x y) z)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0247939
1680849
22445771
35002646

prune352.0ms

Pruning

24 alts after pruning (22 fresh and 2 done)

Merged error: 43.7b

localize24.0ms

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))
32.7b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))))) (cbrt (+ (* x y) z)))))

rewrite37.0ms

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:
6.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))
18.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))))) (cbrt (+ (* x y) z)))))

series328.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (+ (* x y) z))
99.0ms
(cbrt (+ (* x y) z))
97.0ms
(cbrt (+ (* x y) z))
35.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (* (cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z))))))) (cbrt (+ (* x y) z)))))

simplify75.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
02521169
16911077
225351059
350031056

prune325.0ms

Pruning

26 alts after pruning (23 fresh and 3 done)

Merged error: 43.7b

regimes509.0ms

Accuracy

0% (0.7b remaining)

Error of 45.8b against oracle of 45.2b and baseline of 45.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample947.0ms

Algorithm
intervals
Results
340.0ms2794×body1280valid
151.0ms1548×body640valid
80.0ms573×body2560valid
55.0ms2007×body80valid
53.0ms745×body320valid
16.0ms333×body160valid