Details

Time bar (total: 12.2s)

sample23.0ms

Algorithm
intervals
Results
8.0ms355×body80valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
089
1147
2247
3477
4657
done657

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
0.1b
(* (+ (* x y) z) y)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
2×expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u
1×+-commutative fma-def pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 36
Calls
2 calls:
7.0ms
(+ (* x y) z)
26.0ms
(* (+ (* x y) z) y)

series67.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(+ (* x y) z)
39.0ms
(* (+ (* x y) z) y)

simplify1.3s

Counts
42 → 42
Iterations

Useful iterations: 3 (509.0ms)

IterNodesCost
061389
1153336
2507298
31600296
done5001296

prune109.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
7.6b
(cbrt (* (fma x y z) y))
7.6b
(cbrt (* (fma x y z) y))
7.6b
(cbrt (* (fma x y z) y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
13.0ms
(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
3.0ms
(cbrt (* (fma x y z) y))
6.0ms
(cbrt (* (fma x y z) y))
4.0ms
(cbrt (* (fma x y z) y))

series610.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(* (cbrt (* (fma x y z) y)) (cbrt (* (fma x y z) y)))
145.0ms
(cbrt (* (fma x y z) y))
138.0ms
(cbrt (* (fma x y z) y))
141.0ms
(cbrt (* (fma x y z) y))

simplify1.3s

Counts
78 → 78
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01261156
13001055
2770940
32001817
done5001759

prune251.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma x y z))
0.6b
(cbrt y)
7.6b
(cbrt (* (fma x y z) y))
7.6b
(cbrt (* (fma x y z) y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 48
Calls
4 calls:
1.0ms
(cbrt (fma x y z))
1.0ms
(cbrt y)
3.0ms
(cbrt (* (fma x y z) y))
3.0ms
(cbrt (* (fma x y z) y))

series569.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(cbrt (fma x y z))
177.0ms
(cbrt y)
136.0ms
(cbrt (* (fma x y z) y))
137.0ms
(cbrt (* (fma x y z) y))

simplify2.2s

Counts
60 → 60
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0110577
1237559
2548508
31362469
43602442
done5001436

prune228.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(* (cbrt y) (cbrt y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(* (cbrt y) (cbrt y))

series777.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt y)
191.0ms
(cbrt y)
189.0ms
(cbrt y)
212.0ms
(* (cbrt y) (cbrt y))

simplify3.5s

Counts
93 → 93
Iterations

Useful iterations: done (3.4s)

IterNodesCost
065554
1119443
2325423
31112405
44532400
done5000390

prune254.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
done129

end0.0ms

sample649.0ms

Algorithm
intervals
Results
266.0ms11271×body80valid