Details

Time bar (total: 13.6s)

sample32.0ms

Algorithm
intervals
Results
13.0ms340×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done13
313
211
19
06

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (/ y z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (/ y z) y x)

series41.0ms

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

simplify3.2s

Counts
13 → 13
Iterations
IterNodes
done5010
52308
4601
3177
259
128
019

prune78.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
18.0ms
(* (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))

series522.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
135.0ms
(cbrt (fma (/ y z) y x))
128.0ms
(cbrt (fma (/ y z) y x))
117.0ms
(cbrt (fma (/ y z) y x))

simplify1.3s

Counts
93 → 93
Iterations
IterNodes
done5001
31259
2425
1172
085

prune439.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
5.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

series523.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (fma (/ y z) y x))
129.0ms
(cbrt (fma (/ y z) y x))
117.0ms
(cbrt (fma (/ y z) y x))
132.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

simplify2.1s

Counts
62 → 62
Iterations
IterNodes
done5001
43007
3775
2252
1117
065

prune530.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize158.0ms

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
1.0ms
(cbrt (fma (/ y z) y x))
8.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

series551.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(cbrt (fma (/ y z) y x))
126.0ms
(cbrt (fma (/ y z) y x))
132.0ms
(cbrt (fma (/ y z) y x))
170.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

simplify2.1s

Counts
62 → 62
Iterations
IterNodes
done5001
43007
3775
2252
1117
065

prune518.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes464.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done5
05

end0.0ms

sample871.0ms

Algorithm
intervals
Results
489.0ms10709×body80valid