Details

Time bar (total: 10.3s)

sample61.0ms

Algorithm
intervals
Results
32.0ms387×body80valid

simplify227.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (73.0ms)

IterNodesCost
01315
12615
26712
313611
418010
519110
619410
done19410

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

1.9b
(fma (fma z b t) a x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (fma z b t) a x)

series112.0ms

Counts
1 → 3
Calls
1 calls:
112.0ms
(fma (fma z b t) a x)

simplify1.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
022125
136123
276103
3261103
41494103
done5001103

prune66.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
0.0b
(+ (+ x (* y z)) (* t a))
0.0b
(+ x (* y z))
6.7b
(* (* a z) b)

rewrite252.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
10×sum-log
pow1 add-exp-log fma-def add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
expm1-log1p-u log1p-expm1-u
+-commutative flip3-+ associate-*r* pow-prod-down prod-exp cbrt-unprod flip-+
associate-+l+
associate-*l* *-commutative
Counts
4 → 73
Calls
4 calls:
180.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
45.0ms
(+ (+ x (* y z)) (* t a))
6.0ms
(+ x (* y z))
18.0ms
(* (* a z) b)

series281.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(+ (+ (+ x (* y z)) (* t a)) (* (* a z) b))
68.0ms
(+ (+ x (* y z)) (* t a))
39.0ms
(+ x (* y z))
37.0ms
(* (* a z) b)

simplify1.6s

Counts
85 → 85
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0123930
1353781
21526697
done5002662

prune347.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt b)
0.6b
(cbrt b)
1.7b
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
5.2b
(* (* a z) (* (cbrt b) (cbrt b)))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
21×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*r*
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3 associate-*l* *-commutative
Counts
4 → 82
Calls
4 calls:
2.0ms
(cbrt b)
3.0ms
(cbrt b)
150.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
56.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

series842.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt b)
314.0ms
(cbrt b)
73.0ms
(* (* (* a z) (* (cbrt b) (cbrt b))) (cbrt b))
179.0ms
(* (* a z) (* (cbrt b) (cbrt b)))

simplify2.2s

Counts
94 → 94
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01011001
1251964
21080646
done5000561

prune432.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes239.0ms

Accuracy

84.2% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.9b

bsearch3.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02271
13262
done3262

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s11795×body80valid