Details

Time bar (total: 20.7s)

sample36.0ms

Algorithm
intervals
Results
13.0ms325×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ y z) y 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:
1.0ms
(fma (/ y z) y x)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(fma (/ y z) y x)

simplify3.8s

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
019110
128110
27895
330495
4263095
done500095

prune102.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
23.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
2.0ms
(cbrt (fma (/ y z) y x))
2.0ms
(cbrt (fma (/ y z) y x))
2.0ms
(cbrt (fma (/ y z) y x))

series667.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
167.0ms
(cbrt (fma (/ y z) y x))
170.0ms
(cbrt (fma (/ y z) y x))
181.0ms
(cbrt (fma (/ y z) y x))

simplify8.5s

Counts
93 → 93
Iterations

Useful iterations: done (8.5s)

IterNodesCost
0851375
11741271
25791169
338201013
done5000989

prune664.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))
0.6b
(cbrt (fma (/ y z) y x))
0.9b
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down
pow1 add-exp-log
expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
pow-unpow
pow-pow
pow-to-exp pow-exp sqr-pow
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
2.0ms
(cbrt (fma (/ y z) y x))
8.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

series642.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (fma (/ y z) y x))
142.0ms
(cbrt (fma (/ y z) y x))
158.0ms
(cbrt (fma (/ y z) y x))
197.0ms
(pow (cbrt (cbrt (fma (/ y z) y x))) 4)

simplify2.5s

Counts
77 → 77
Iterations

Useful iterations: done (2.5s)

IterNodesCost
092995
1227950
2659863
32863832
done5001831

prune593.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y y) z))
8.3b
(/ (* y y) z)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log *-un-lft-identity add-cbrt-cube
add-sqr-sqrt add-cube-cbrt
add-log-exp
fma-def times-frac associate-/r*
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 40
Calls
2 calls:
15.0ms
(+ x (/ (* y y) z))
17.0ms
(/ (* y y) z)

series85.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ x (/ (* y y) z))
30.0ms
(/ (* y y) z)

simplify1.1s

Counts
46 → 46
Iterations

Useful iterations: done (1.1s)

IterNodesCost
071387
1217372
21493332
done5000311

prune187.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes454.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample1.0s

Algorithm
intervals
Results
476.0ms10710×body80valid