Details

Time bar (total: 20.8s)

sample85.0ms

Algorithm
intervals
Results
54.0ms642×body80valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5000
63761
5474
4154
387
250
126
012

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×pow1 pow-unpow unpow-prod-down add-exp-log
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))
10.0ms
(pow (fma a a (* b b)) 2.0)

series250.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
153.0ms
(pow (fma a a (* b b)) 2.0)

simplify2.2s

Counts
35 → 35
Iterations
IterNodes
done5000
31918
2473
1160
072

prune266.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0))) (cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0))))
13.0b
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))
13.0b
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))
13.0b
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))

rewrite13.0ms

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 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:
9.0ms
(* (cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0))) (cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0))))
1.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))
1.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))
1.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
354.0ms
(* (cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0))) (cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0))))
292.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))
310.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))
289.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))

simplify3.1s

Counts
93 → 93
Iterations
IterNodes
done5000
34182
2763
1230
0106

prune886.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize117.0ms

Local error

Found 4 expressions with local error:

12.4b
(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
12.4b
(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
13.0b
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))
13.0b
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-prod pow1 sqrt-prod
4×expm1-log1p-u add-cbrt-cube add-exp-log 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 b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))
1.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
224.0ms
(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
235.0ms
(sqrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
355.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))
280.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))

simplify992.0ms

Counts
68 → 68
Iterations
IterNodes
done5001
31921
2485
1179
090

prune890.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
Counts
4 → 52
Calls
4 calls:
1.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))
1.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 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)))

series1.3s

Counts
4 → 12
Calls
4 calls:
304.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))
342.0ms
(cbrt (fma b (* 4.0 b) (pow (fma b b (* a a)) 2.0)))
299.0ms
(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))
309.0ms
(cbrt (fma 4.0 (* b b) (pow (fma a a (* b b)) 2.0)))

simplify705.0ms

Counts
64 → 64
Iterations
IterNodes
done5000
3993
2291
1133
072

prune897.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes350.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample2.5s

Algorithm
intervals
Results
2.0s20748×body80valid