Details

Time bar (total: 28.4s)

sample86.0ms

Algorithm
intervals
Results
64.0ms656×body80valid

simplify4.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
01829
15327
217226
350926
4149726
5357326
done500026

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0))
0.1b
(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
0.3b
(pow (fma a a (* b b)) 2.0)
0.5b
(* (* b b) (+ 3.0 a))

rewrite81.0ms

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-*r* log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ fma-udef
1×distribute-rgt-in pow-to-exp pow-pow distribute-lft-in flip3-+ associate-*l* pow-exp *-commutative flip-+ distribute-lft-out unswap-sqr sqr-pow
Counts
4 → 65
Calls
4 calls:
1.0ms
(fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0))
1.0ms
(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
5.0ms
(pow (fma a a (* b b)) 2.0)
71.0ms
(* (* b b) (+ 3.0 a))

series475.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0))
60.0ms
(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
206.0ms
(pow (fma a a (* b b)) 2.0)
59.0ms
(* (* b b) (+ 3.0 a))

simplify3.9s

Counts
77 → 77
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
01361157
13201101
21101970
34265962
done5000962

prune378.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (+ 3.0 a))
0.3b
(pow (fma a a (* b b)) 2.0)
0.3b
(* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a))))
0.5b
(* (* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a)))) (cbrt (+ 3.0 a)))

rewrite501.0ms

Algorithm
rewrite-expression-head
Rules
68×cbrt-div
51×pow1
42×associate-*r/
35×add-exp-log
34×flip3-+ flip-+
32×frac-times
27×pow-prod-down
21×prod-exp add-cbrt-cube cbrt-unprod
16×associate-*l/
13×*-un-lft-identity
9×add-sqr-sqrt add-cube-cbrt
8×cbrt-prod associate-*r*
4×expm1-log1p-u pow-plus pow-prod-up log1p-expm1-u add-log-exp
3×unpow-prod-down pow-unpow
2×pow2 associate-*l* pow-sqr *-commutative distribute-lft-out
1×pow-to-exp pow-pow pow1/3 pow-exp unswap-sqr sqr-pow
Counts
4 → 133
Calls
4 calls:
4.0ms
(cbrt (+ 3.0 a))
3.0ms
(pow (fma a a (* b b)) 2.0)
119.0ms
(* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a))))
365.0ms
(* (* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a)))) (cbrt (+ 3.0 a)))

series609.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(cbrt (+ 3.0 a))
188.0ms
(pow (fma a a (* b b)) 2.0)
237.0ms
(* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a))))
46.0ms
(* (* (* b b) (* (cbrt (+ 3.0 a)) (cbrt (+ 3.0 a)))) (cbrt (+ 3.0 a)))

simplify2.1s

Counts
145 → 145
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02663047
17152845
224132424
done50002216

prune708.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* b b) (+ 3.0 a))
0.5b
(* (* b b) (+ 3.0 a))
8.9b
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
8.9b
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
14×add-exp-log add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt associate-*r*
6×pow-prod-down prod-exp sqrt-prod cbrt-unprod
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
2×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 flip3-+ pow1/2 associate-*l* *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 82
Calls
4 calls:
57.0ms
(* (* b b) (+ 3.0 a))
36.0ms
(* (* b b) (+ 3.0 a))
1.0ms
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
2.0ms
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))

series614.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* b b) (+ 3.0 a))
51.0ms
(* (* b b) (+ 3.0 a))
251.0ms
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
271.0ms
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))

simplify3.3s

Counts
94 → 94
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01081666
12751504
29511360
335401352
done50011352

prune621.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* b b) (+ 3.0 a))
8.9b
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
9.5b
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
9.5b
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-sqr-sqrt *-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-cube-cbrt
6×cbrt-prod
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×pow1/3 associate-*r/
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 flip3-+ pow1/2 associate-*l* *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 67
Calls
4 calls:
57.0ms
(* (* b b) (+ 3.0 a))
3.0ms
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
2.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))

series1.3s

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (* b b) (+ 3.0 a))
255.0ms
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
343.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
682.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))

simplify3.5s

Counts
79 → 79
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01602057
13901962
212391766
343821658
done50001658

prune713.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes183.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01853
12053
done2053

end0.0ms

sample4.1s

Algorithm
intervals
Results
3.5s20728×body80valid