Details

Time bar (total: 9.6s)

sample17.0ms

Algorithm
intervals
Results
7.0ms369×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (4.0ms)

IterNodesCost
067
197
2117
3136
4146
done146

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

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:
0.0ms
(fma (/ y z) y x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(fma (/ y z) y x)

simplify2.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
019110
129107
26495
314595
441595
5133095
6399795
done500195

prune28.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite9.0ms

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:
5.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
0.0ms
(cbrt (fma (/ y z) y x))
0.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series345.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
87.0ms
(cbrt (fma (/ y z) y x))
86.0ms
(cbrt (fma (/ y z) y x))
87.0ms
(cbrt (fma (/ y z) y x))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0851375
11561275
23821169
310631013
42817987
done5001981

prune235.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

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

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) y x))
0.0ms
(cbrt (fma (/ y z) y x))
0.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))

series358.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(cbrt (fma (/ y z) y x))
89.0ms
(cbrt (fma (/ y z) y x))
89.0ms
(cbrt (fma (/ y z) y x))
88.0ms
(cbrt (fma (/ y z) y x))

simplify2.3s

Counts
64 → 64
Iterations

Useful iterations: done (2.3s)

IterNodesCost
042716
175700
2154644
3393612
41030596
53127576
done5001564

prune186.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (pow y 2) z) x)
9.8b
(/ (pow y 2) z)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
48×times-frac
36×*-un-lft-identity
34×add-sqr-sqrt add-cube-cbrt
28×fma-def
21×unpow-prod-down
associate-/l*
add-exp-log unpow2 sqr-pow
add-cbrt-cube add-log-exp
div-exp associate-/r*
pow1 expm1-log1p-u log1p-expm1-u div-inv
cbrt-undiv +-commutative pow-to-exp frac-2neg flip3-+ pow-exp clear-num sum-log flip-+ distribute-lft-out
Counts
2 → 93
Calls
2 calls:
22.0ms
(+ (/ (pow y 2) z) x)
4.0ms
(/ (pow y 2) z)

series44.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(+ (/ (pow y 2) z) x)
19.0ms
(/ (pow y 2) z)

simplify1.2s

Counts
99 → 99
Iterations

Useful iterations: 3 (339.0ms)

IterNodesCost
0117730
1223668
2600599
31859585
done5001585

prune221.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes50.0ms

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

sample444.0ms

Algorithm
intervals
Results
229.0ms10690×body80valid