Details

Time bar (total: 24.7s)

sample77.0ms

Algorithm
intervals
Results
45.0ms655×body80valid

simplify4.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
01217
12616
25015
38715
415415
547315
6370915
done500015

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
0.0b
(fma a a (* b b))
0.3b
(pow (fma a a (* b b)) 2.0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log
3×expm1-log1p-u unpow-prod-down pow-unpow add-cbrt-cube log1p-expm1-u add-log-exp
2×fma-udef
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
3 → 39
Calls
3 calls:
0.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
1.0ms
(fma a a (* b b))
5.0ms
(pow (fma a a (* b b)) 2.0)

series248.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
43.0ms
(fma a a (* b b))
130.0ms
(pow (fma a a (* b b)) 2.0)

simplify2.6s

Counts
48 → 48
Iterations

Useful iterations: 3 (535.0ms)

IterNodesCost
079580
1167561
2546493
32454492
done5000492

prune217.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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))))
14.1b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
14.1b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
14.1b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

rewrite25.0ms

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:
18.0ms
(* (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))))
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:
326.0ms
(* (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))))
314.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
307.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
272.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

simplify7.1s

Counts
93 → 93
Iterations

Useful iterations: done (7.1s)

IterNodesCost
01062580
12282420
28122217
347951816
done50001809

prune592.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

13.5b
(sqrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
14.1b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
14.1b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
14.1b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 sqrt-prod
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
3.0ms
(sqrt (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:
234.0ms
(sqrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
370.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
310.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
324.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

simplify1.1s

Counts
66 → 66
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0821350
11661302
24631202
318331121
done50001103

prune444.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

13.5b
(sqrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
13.5b
(sqrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
14.1b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
14.1b
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
2.0ms
(sqrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
2.0ms
(sqrt (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)))

series1.5s

Counts
4 → 12
Calls
4 calls:
252.0ms
(sqrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
229.0ms
(sqrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
689.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))
284.0ms
(cbrt (fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0)))

simplify1.1s

Counts
68 → 68
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0821324
11661244
24631160
318331106
done50001094

prune506.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11215
done1215

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.6s20583×body80valid