Details

Time bar (total: 18.2s)

sample75.0ms

Algorithm
intervals
Results
31.0ms375×body80valid

simplify250.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (88.0ms)

IterNodesCost
01315
12615
26712
313611
418010
519110
619410
done19410

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
5.9b
(* (* a z) b)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt fma-def *-un-lft-identity
sum-log
expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
+-commutative flip3-+ flip-+
associate-+l+ associate-*l* *-commutative
Counts
3 → 54
Calls
3 calls:
7.0ms
(+ x (* y z))
32.0ms
(+ (+ x (* y z)) (* t a))
22.0ms
(* (* a z) b)

series157.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ x (* y z))
72.0ms
(+ (+ x (* y z)) (* t a))
39.0ms
(* (* a z) b)

simplify3.0s

Counts
63 → 63
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
099536
1275469
21056408
34222407
done5000407

prune253.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma z y (fma (fma z b t) a x))
2.9b
(fma (fma z b t) a x)

rewrite2.0ms

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
2 → 20
Calls
2 calls:
1.0ms
(fma z y (fma (fma z b t) a x))
1.0ms
(fma (fma z b t) a x)

series273.0ms

Counts
2 → 6
Calls
2 calls:
144.0ms
(fma z y (fma (fma z b t) a x))
128.0ms
(fma (fma z b t) a x)

simplify2.3s

Counts
26 → 26
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
037287
160281
2132239
3512237
43583237
done5000237

prune148.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y z))
0.0b
(+ (+ x (* y z)) (* t a))
6.8b
(* a (* z b))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt fma-def *-un-lft-identity
sum-log
expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
+-commutative flip3-+ flip-+
associate-+l+ associate-*r* *-commutative
Counts
3 → 54
Calls
3 calls:
8.0ms
(+ x (* y z))
31.0ms
(+ (+ x (* y z)) (* t a))
27.0ms
(* a (* z b))

series160.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (* y z))
76.0ms
(+ (+ x (* y z)) (* t a))
48.0ms
(* a (* z b))

simplify2.7s

Counts
63 → 63
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
095533
1265468
2963421
33851406
done5000406

prune264.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt a)
0.7b
(cbrt a)
3.1b
(* (cbrt a) (* z b))
3.7b
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-*l*
expm1-log1p-u log1p-expm1-u add-log-exp
pow1/3 associate-*r* *-commutative
Counts
4 → 79
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
26.0ms
(* (cbrt a) (* z b))
118.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))

series800.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(cbrt a)
289.0ms
(cbrt a)
180.0ms
(* (cbrt a) (* z b))
88.0ms
(* (* (cbrt a) (cbrt a)) (* (cbrt a) (* z b)))

simplify4.6s

Counts
91 → 91
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
092852
1219823
2860581
34056477
done5001477

prune285.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes341.0ms

Accuracy

49% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.1b

bsearch155.0ms

Steps
ItersRangePoint
8
1.2525395598033634e-271
5.606144197933177e-269
2.5230721910786968e-269
9
-4.587442504166398e+95
-1.2272262978749091e+89
-6.010092830342159e+91

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02248
13234
done3234

end0.0ms

sample2.0s

Algorithm
intervals
Results
983.0ms11914×body80valid