Details

Time bar (total: 22.8s)

sample92.0ms

Algorithm
intervals
Results
56.0ms665×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
01217
12616
25015
38715
415415
547315
6370915
done500015

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
0.4b
(pow (fma a a (* b b)) 2.0)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×pow1 add-exp-log unpow-prod-down pow-unpow
2×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
1×pow-to-exp pow-pow pow-exp fma-udef sqr-pow
Counts
2 → 29
Calls
2 calls:
1.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
5.0ms
(pow (fma a a (* b b)) 2.0)

series269.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
183.0ms
(pow (fma a a (* b b)) 2.0)

simplify2.2s

Counts
35 → 35
Iterations

Useful iterations: 3 (534.0ms)

IterNodesCost
072472
1159456
2479408
32051404
done5002404

prune193.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))) (cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))))
13.0b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.0b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.0b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

rewrite18.0ms

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:
13.0ms
(* (cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))) (cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))))
1.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
1.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
1.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

series1.6s

Counts
4 → 12
Calls
4 calls:
690.0ms
(* (cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))) (cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))))
345.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
343.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
263.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

simplify6.2s

Counts
93 → 93
Iterations

Useful iterations: done (6.2s)

IterNodesCost
01062580
12282420
28122217
347951816
done50001809

prune571.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

13.0b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.0b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.0b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.0b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×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 → 52
Calls
4 calls:
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
242.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
247.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
346.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

simplify542.0ms

Counts
64 → 64
Iterations

Useful iterations: done (540.0ms)

IterNodesCost
0551376
11101360
22611244
39551136
done50011112

prune371.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

13.0b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.0b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.0b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.0b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×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 → 52
Calls
4 calls:
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
315.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
275.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
335.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
271.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

simplify652.0ms

Counts
64 → 64
Iterations

Useful iterations: done (650.0ms)

IterNodesCost
0551376
11101360
22611244
39551136
done50011112

prune474.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11215
done1215

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.0s20473×body80valid