Details

Time bar (total: 23.9s)

sample76.0ms

Algorithm
intervals
Results
57.0ms643×body80valid

simplify4.5s

Counts
1 → 1
Iterations
IterNodes
done5000
64618
51889
4575
3160
262
129
012

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.1b
(fma (fma b b (* a a)) (fma b b (* a a)) -1)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 22
Calls
2 calls:
0.0ms
(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
1.0ms
(fma (fma b b (* a a)) (fma b b (* a a)) -1)

series226.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(fma (* b b) 4 (fma (fma b b (* a a)) (fma b b (* a a)) -1))
108.0ms
(fma (fma b b (* a a)) (fma b b (* a a)) -1)

simplify3.0s

Counts
28 → 28
Iterations
IterNodes
done5000
43604
3801
2188
175
043

prune139.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.1b
(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.1b
(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.2b
(* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

rewrite20.0ms

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 insert-posit16 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 → 85
Calls
4 calls:
5.0ms
(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
1.0ms
(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
1.0ms
(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
11.0ms
(* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

series927.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
243.0ms
(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
199.0ms
(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
237.0ms
(* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

simplify2.6s

Counts
97 → 97
Iterations
IterNodes
done5004
42089
3682
2275
1124
064

prune539.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
0.2b
(* (cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))) (cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
53×cbrt-prod
49×add-sqr-sqrt
24×*-un-lft-identity add-cube-cbrt
21×associate-*r*
20×pow1
16×associate-*l*
15×pow1/3
14×unswap-sqr
12×swap-sqr
10×add-exp-log
6×pow-prod-down
4×expm1-log1p-u add-cbrt-cube pow-sqr pow-prod-up insert-posit16 log1p-expm1-u add-log-exp
3×prod-exp *-commutative cbrt-unprod
2×pow2 pow-plus
1×pow3
Counts
4 → 133
Calls
4 calls:
28.0ms
(* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
23.0ms
(* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
10.0ms
(cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
28.0ms
(* (cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))) (cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))

series977.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
245.0ms
(* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
255.0ms
(cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))
216.0ms
(* (cbrt (* (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)) (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))) (cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))))

simplify2.9s

Counts
145 → 145
Iterations
IterNodes
done5001
42815
31012
2467
1211
0109

prune979.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
0.2b
(cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
0.2b
(cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
1.0ms
(cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
2.0ms
(cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
2.0ms
(cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

series913.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1))
228.0ms
(cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
236.0ms
(cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))
221.0ms
(cbrt (cbrt (fma (fma b b (* a a)) (fma b b (* a a)) -1)))

simplify2.0s

Counts
77 → 77
Iterations
IterNodes
done5001
52276
4783
3302
2138
178
048

prune576.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes382.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done18
118
015

end0.0ms

sample2.8s

Algorithm
intervals
Results
2.3s20753×body80valid