Details

Time bar (total: 3.4s)

sample33.0ms

Algorithm
intervals
Results
15.0ms397×body80valid

simplify25.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 5 (20.0ms)

IterNodesCost
0267
1684
21404
32004
42144
52173
62173

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
3.6b
(* (* a z) b)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
22×associate-*l*
16×add-sqr-sqrt
14×distribute-lft-out
10×add-log-exp
9×add-cube-cbrt
8×pow1 add-exp-log fma-def add-cbrt-cube
6×associate-*r*
4×sum-log unswap-sqr
3×+-commutative expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×associate-+l+ flip3-+ *-commutative flip-+
Counts
3 → 78
Calls
3 calls:
7.0ms
(+ x (* y z))
15.0ms
(+ (+ x (* y z)) (* t a))
9.0ms
(* (* a z) b)

series114.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ x (* y z))
56.0ms
(+ (+ x (* y z)) (* t a))
31.0ms
(* (* a z) b)

simplify54.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0307303
11242254
25002250

prune176.0ms

Filtered
87 candidates to 65 candidates (25.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New83487
Fresh101
Picked101
Done000
Total85489

Merged error: 0.0b

Counts
89 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.8b
(* (* a (* (cbrt z) (cbrt z))) (* (cbrt z) b))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
175×add-sqr-sqrt
108×unswap-sqr
63×cbrt-prod
61×add-cbrt-cube
59×associate-*l*
57×cbrt-unprod
52×associate-*r*
25×pow1 add-exp-log
22×add-cube-cbrt *-un-lft-identity
15×pow-prod-down prod-exp
14×swap-sqr
8×*-commutative
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
Counts
4 → 169
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
36.0ms
(* (* a (* (cbrt z) (cbrt z))) (* (cbrt z) b))

series638.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt z)
193.0ms
(cbrt z)
199.0ms
(cbrt z)
53.0ms
(* (* a (* (cbrt z) (cbrt z))) (* (cbrt z) b))

simplify135.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
06551625
132691274
250021194

prune409.0ms

Filtered
181 candidates to 118 candidates (34.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1792181
Fresh123
Picked011
Done000
Total1805185

Merged error: 0.0b

Counts
185 → 5

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y z (fma a t x))
3.6b
(* (* a z) b)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-*l*
13×add-sqr-sqrt
7×pow1 add-exp-log add-cbrt-cube
6×add-cube-cbrt *-un-lft-identity associate-*r*
4×unswap-sqr
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
1×fma-udef
Counts
2 → 43
Calls
2 calls:
1.0ms
(fma y z (fma a t x))
9.0ms
(* (* a z) b)

series101.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(fma y z (fma a t x))
30.0ms
(* (* a z) b)

simplify90.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0167162
1629142
22873142
35002142

prune124.0ms

Filtered
49 candidates to 38 candidates (22.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New47249
Fresh213
Picked011
Done011
Total49554

Merged error: 0.0b

Counts
54 → 5

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y z (fma a t x))
5.6b
(* z (* a b))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-*r*
13×add-sqr-sqrt
7×pow1 add-exp-log add-cbrt-cube
6×add-cube-cbrt *-un-lft-identity associate-*l*
4×unswap-sqr
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
1×fma-udef
Counts
2 → 43
Calls
2 calls:
1.0ms
(fma y z (fma a t x))
8.0ms
(* z (* a b))

series103.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(fma y z (fma a t x))
31.0ms
(* z (* a b))

simplify104.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0177164
1848144
23248144
35001144

prune110.0ms

Filtered
49 candidates to 37 candidates (24.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New48149
Fresh112
Picked011
Done022
Total49554

Merged error: 0.0b

Counts
54 → 5

regimes190.0ms

Accuracy

0% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02412
12412

end0.0ms

sample859.0ms

Algorithm
intervals
Results
460.0ms11808×body80valid