Details

Time bar (total: 2.9s)

sample38.0ms

Algorithm
intervals
Results
11.0ms79×body1280valid
6.0ms21×body2560valid
6.0ms49×body640valid
3.0ms78×body80valid
2.0ms18×body320valid
1.0ms11×body160valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0185
1435
2915
31945
43215
55795
610885
713055
813055

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 42.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
11.1b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite12.0ms

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:
4.0ms
(+ (* x y) z)
8.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series64.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(+ (* x y) z)
38.0ms
(- (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

prune88.0ms

Filtered
35 candidates to 24 candidates (68.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New27835
Fresh000
Picked101
Done000
Total28836

Merged error: 42.2b

Counts
36 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ z (+ (* x y) 1.0))
11.1b
(- (fma x y z) (+ z (+ (* x y) 1.0)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-log-exp
9×*-un-lft-identity
6×sum-log
4×add-sqr-sqrt
3×diff-log
2×pow1 add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg associate-+r+ flip3-- flip3-+ flip-- flip-+ associate--r+ difference-of-squares
Counts
2 → 32
Calls
2 calls:
5.0ms
(+ z (+ (* x y) 1.0))
8.0ms
(- (fma x y z) (+ z (+ (* x y) 1.0)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ z (+ (* x y) 1.0))
42.0ms
(- (fma x y z) (+ z (+ (* x y) 1.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0163239
1539228
22487228
35002228

prune100.0ms

Filtered
38 candidates to 24 candidates (63.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New36238
Fresh077
Picked101
Done000
Total37946

Merged error: 26.6b

Counts
46 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
1.9b
(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
2.3b
(- (fma x y z) z)
9.9b
(- (- (fma x y z) z) (+ (* x y) 1.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
22×add-sqr-sqrt
18×cbrt-prod add-log-exp
16×distribute-lft-out--
12×cube-div unpow-prod-down cube-prod frac-sub
10×add-cube-cbrt flip3-- flip--
7×diff-log
6×cbrt-div flip3-+ flip-+ difference-of-squares
5×pow1 add-exp-log add-cbrt-cube
3×sub-neg pow-unpow
2×cube-mult unpow3 associate--l+ sum-log sqr-pow
1×associate--l- pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube associate--r+ rem-cube-cbrt
Counts
4 → 108
Calls
4 calls:
10.0ms
(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
10.0ms
(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
3.0ms
(- (fma x y z) z)
10.0ms
(- (- (fma x y z) z) (+ (* x y) 1.0))

series272.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3)
37.0ms
(cbrt (pow (- (- (fma x y z) z) (+ (* x y) 1.0)) 3))
19.0ms
(- (fma x y z) z)
41.0ms
(- (- (fma x y z) z) (+ (* x y) 1.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05851293
127031240
250021231

prune287.0ms

Filtered
120 candidates to 68 candidates (56.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1137120
Fresh448
Picked101
Done000
Total11811129

Merged error: 15.5b

Counts
129 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
1.9b
(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
2.3b
(- (fma x y z) z)
10.0b
(- (- (fma x y z) z) (* x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
16×cbrt-prod
11×add-log-exp
10×add-cube-cbrt unpow-prod-down cube-prod
5×pow1 add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
4×cube-div flip3-- diff-log flip--
3×sub-neg pow-unpow
2×cube-mult cbrt-div unpow3 associate--l+ sqr-pow
1×associate--l- pow-to-exp pow-pow pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 86
Calls
4 calls:
9.0ms
(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
9.0ms
(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
3.0ms
(- (fma x y z) z)
7.0ms
(- (- (fma x y z) z) (* x y))

series268.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3)
37.0ms
(cbrt (pow (- (- (- (fma x y z) z) (* x y)) 1.0) 3))
19.0ms
(- (fma x y z) z)
34.0ms
(- (- (fma x y z) z) (* x y))

simplify56.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0430820
11762779
25001773

prune183.0ms

Filtered
98 candidates to 54 candidates (55.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New95398
Fresh8210
Picked101
Done000
Total1045109

Merged error: 8.8b

Counts
109 → 5

regimes81.0ms

Accuracy

0% (0.1b remaining)

Error of 8.2b against oracle of 8.1b and baseline of 8.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample1.0s

Algorithm
intervals
Results
398.0ms2682×body1280valid
186.0ms1548×body640valid
108.0ms601×body2560valid
74.0ms2121×body80valid
63.0ms719×body320valid
22.0ms329×body160valid