Details

Time bar (total: 16.8s)

sample84.0ms

Algorithm
intervals
Results
54.0ms644×body80valid

simplify2.4s

Counts
1 → 1
Iterations
IterNodes
done5002
42092
3566
2172
153
018

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b b (* a a))
0.1b
(fma a (* (- 1.0 a) a) (* (+ a 3.0) (* b b)))
0.3b
(pow (fma b b (* a a)) 2.0)
0.5b
(* (+ a 3.0) (* b b))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log
9×*-un-lft-identity add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×pow-unpow unpow-prod-down pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ fma-udef
1×pow-to-exp pow-pow flip3-+ associate-*r* pow-exp *-commutative flip-+ distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 63
Calls
4 calls:
0.0ms
(fma b b (* a a))
0.0ms
(fma a (* (- 1.0 a) a) (* (+ a 3.0) (* b b)))
2.0ms
(pow (fma b b (* a a)) 2.0)
33.0ms
(* (+ a 3.0) (* b b))

series370.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(fma b b (* a a))
79.0ms
(fma a (* (- 1.0 a) a) (* (+ a 3.0) (* b b)))
196.0ms
(pow (fma b b (* a a)) 2.0)
46.0ms
(* (+ a 3.0) (* b b))

simplify710.0ms

Counts
75 → 75
Iterations
IterNodes
done5000
21326
1297
0116

prune546.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (+ a 3.0) (* b b))
22.0b
(cbrt (pow (fma b b (pow a 2)) 2.0))
22.0b
(cbrt (pow (fma b b (pow a 2)) 2.0))
22.0b
(cbrt (pow (fma b b (pow a 2)) 2.0))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
13×*-un-lft-identity
12×add-sqr-sqrt
11×add-cube-cbrt
9×pow1 unpow-prod-down add-cbrt-cube add-exp-log
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod sqr-pow
2×associate-*l/
1×flip3-+ associate-*r* *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 75
Calls
4 calls:
32.0ms
(* (+ a 3.0) (* b b))
2.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
2.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
2.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))

series718.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (+ a 3.0) (* b b))
197.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
233.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
233.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))

simplify610.0ms

Counts
87 → 87
Iterations
IterNodes
done5001
21065
1248
0103

prune874.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize109.0ms

Local error

Found 4 expressions with local error:

10.3b
(cbrt (pow (fma a a (pow b 2)) (/ 2.0 2)))
10.3b
(cbrt (pow (fma a a (pow b 2)) (/ 2.0 2)))
22.0b
(cbrt (pow (fma b b (pow a 2)) 2.0))
22.0b
(cbrt (pow (fma b b (pow a 2)) 2.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt unpow-prod-down *-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 sqr-pow
Counts
4 → 68
Calls
4 calls:
4.0ms
(cbrt (pow (fma a a (pow b 2)) (/ 2.0 2)))
4.0ms
(cbrt (pow (fma a a (pow b 2)) (/ 2.0 2)))
3.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
3.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))

series931.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(cbrt (pow (fma a a (pow b 2)) (/ 2.0 2)))
228.0ms
(cbrt (pow (fma a a (pow b 2)) (/ 2.0 2)))
207.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
260.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))

simplify795.0ms

Counts
80 → 80
Iterations
IterNodes
done5000
31390
2430
1195
0104

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize112.0ms

Local error

Found 4 expressions with local error:

10.3b
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
10.3b
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
22.0b
(cbrt (pow (fma b b (pow a 2)) 2.0))
22.0b
(cbrt (pow (fma b b (pow a 2)) 2.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt unpow-prod-down *-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 sqr-pow
Counts
4 → 68
Calls
4 calls:
2.0ms
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
2.0ms
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
2.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
2.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))

series1.1s

Counts
4 → 12
Calls
4 calls:
255.0ms
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
282.0ms
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
252.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
272.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))

simplify1.1s

Counts
80 → 80
Iterations
IterNodes
done5000
31741
2465
1186
098

prune1.4s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes412.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done20
120
017

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.6s20523×body80valid