Details

Time bar (total: 14.3s)

sample27.0ms

Algorithm
intervals
Results
13.0ms346×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(fma (/ y z) y x)

simplify2.7s

Counts
13 → 13
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
019110
127107
26095
316995
453795
5207495
done500195

prune34.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

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:
13.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series717.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
117.0ms
(cbrt (fma (/ y z) y x))
381.0ms
(cbrt (fma (/ y z) y x))
102.0ms
(cbrt (fma (/ y z) y x))

simplify2.4s

Counts
93 → 93
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0851375
11561271
23891169
310121013
42892987
done5000922

prune274.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (/ y z) y x))
0.5b
(cbrt (fma (/ y z) y x))
0.5b
(cbrt (pow (cbrt (fma (/ y z) y x)) 2))
0.5b
(cbrt (cbrt (fma (/ y z) y x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
29×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
unpow2 sqr-pow
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
3.0ms
(cbrt (pow (cbrt (fma (/ y z) y x)) 2))
2.0ms
(cbrt (cbrt (fma (/ y z) y x)))

series559.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(cbrt (fma (/ y z) y x))
148.0ms
(cbrt (fma (/ y z) y x))
117.0ms
(cbrt (pow (cbrt (fma (/ y z) y x)) 2))
146.0ms
(cbrt (cbrt (fma (/ y z) y x)))

simplify2.3s

Counts
75 → 75
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01051018
1190902
2390848
31053820
43969803
done5001797

prune405.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y y) z))
15.7b
(/ (* y y) z)

rewrite42.0ms

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:
21.0ms
(+ x (/ (* y y) z))
20.0ms
(/ (* y y) z)

series62.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ x (/ (* y y) z))
23.0ms
(/ (* y y) z)

simplify3.6s

Counts
46 → 46
Iterations

Useful iterations: 3 (517.0ms)

IterNodesCost
071387
1168362
2485324
31594309
done5001309

prune150.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes137.0ms

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
056
done56

end0.0ms

sample822.0ms

Algorithm
intervals
Results
413.0ms10667×body80valid