Details

Time bar (total: 3.3s)

sample19.0ms

Algorithm
intervals
Results
7.0ms349×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
093
1113
2132
3142
4142
done142

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

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

series31.0ms

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

simplify51.0ms

Counts
13 → 13
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
02744
16839
222139
382039
4500239
done500239

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

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))

rewrite16.0ms

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:
11.0ms
(* (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))

series424.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))
106.0ms
(cbrt (fma (/ y z) y x))
108.0ms
(cbrt (fma (/ y z) y x))
106.0ms
(cbrt (fma (/ y z) y x))

simplify95.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0157649
1570598
22522552
35001529
done5001529

prune256.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×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 → 53
Calls
4 calls:
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))))
2.0ms
(cbrt (cbrt (fma (/ y z) y x)))

series424.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(cbrt (fma (/ y z) y x))
104.0ms
(cbrt (fma (/ y z) y x))
108.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
106.0ms
(cbrt (cbrt (fma (/ y z) y x)))

simplify56.0ms

Counts
65 → 65
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0141456
1336416
21167408
35002387
done5002387

prune270.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* 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 → 69
Calls
4 calls:
18.0ms
(* (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))) (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))
5.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
5.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
6.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

series444.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))) (cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x)))))
107.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
107.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))
110.0ms
(cbrt (* (cbrt (fma (/ y z) y x)) (cbrt (fma (/ y z) y x))))

simplify77.0ms

Counts
81 → 81
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
01601003
1490868
21826787
35001749
done5001749

prune250.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052
152
done52

end0.0ms

sample505.0ms

Algorithm
intervals
Results
218.0ms10749×body80valid