Details

Time bar (total: 53.8s)

sample65.0ms

Algorithm
intervals
Results
22.0ms330×body80valid

simplify17.0ms

Counts
1 → 1
Iterations
IterNodes
done13
313
211
19
06

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
1×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)

series530.0ms

Counts
1 → 3
Calls
1 calls:
519.0ms
(fma (/ y z) y x)

simplify20.3s

Counts
13 → 13
Iterations
IterNodes
done5000
52538
4604
3170
259
128
019

prune407.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize123.0ms

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))

rewrite71.0ms

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:
47.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
2.0ms
(cbrt (fma (/ y z) y x))
10.0ms
(cbrt (fma (/ y z) y x))
2.0ms
(cbrt (fma (/ y z) y x))

series2.0s

Counts
4 → 12
Calls
4 calls:
617.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
441.0ms
(cbrt (fma (/ y z) y x))
568.0ms
(cbrt (fma (/ y z) y x))
330.0ms
(cbrt (fma (/ y z) y x))

simplify4.1s

Counts
93 → 93
Iterations
IterNodes
done5001
31248
2425
1172
085

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize425.0ms

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×cbrt-prod
7×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 → 50
Calls
4 calls:
2.0ms
(cbrt (fma (/ y z) y x))
2.0ms
(cbrt (fma (/ y z) y x))
2.0ms
(cbrt (fma (/ y z) y x))
11.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

series1.1s

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt (fma (/ y z) y x))
294.0ms
(cbrt (fma (/ y z) y x))
285.0ms
(cbrt (fma (/ y z) y x))
374.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

simplify4.6s

Counts
62 → 62
Iterations
IterNodes
done5004
42936
3766
2252
1117
065

prune734.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize190.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
53×cbrt-prod
27×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 unswap-sqr
7×swap-sqr associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u 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
Counts
4 → 92
Calls
4 calls:
58.0ms
(* (cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))) (cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))))
5.0ms
(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))
6.0ms
(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))
6.0ms
(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))

series794.0ms

Counts
4 → 12
Calls
4 calls:
229.0ms
(* (cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))) (cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))))
175.0ms
(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))
201.0ms
(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))
189.0ms
(cbrt (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))

simplify8.7s

Counts
104 → 104
Iterations
IterNodes
done5000
43632
31185
2421
1189
0100

prune3.0s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes1.6s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done5
05

end7.0ms

sample2.9s

Algorithm
intervals
Results
1.9s10697×body80valid