Details

Time bar (total: 20.4s)

sample93.0ms

Algorithm
intervals
Results
62.0ms661×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
01829
15327
217226
355426
4211326
done500126

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize28.0ms

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)
1.0b
(* (* b b) (+ 3.0 a))

rewrite44.0ms

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:
0.0ms
(fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0))
0.0ms
(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
3.0ms
(pow (fma a a (* b b)) 2.0)
39.0ms
(* (* b b) (+ 3.0 a))

series369.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0))
70.0ms
(fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a)))
133.0ms
(pow (fma a a (* b b)) 2.0)
45.0ms
(* (* b b) (+ 3.0 a))

simplify2.6s

Counts
77 → 77
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01361157
13661105
22153971
done5004969

prune411.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (fma 1.0 (pow a 2) (* 3.0 (pow b 2))) (pow a 3))
0.0b
(fma (- (fma 1.0 (pow a 2) (* 3.0 (pow b 2))) (pow a 3)) 4.0 (pow (fma a a (* b b)) 2.0))
0.2b
(* 3.0 (pow b 2))
0.3b
(pow (fma a a (* b b)) 2.0)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
36×prod-diff
33×*-un-lft-identity
31×add-cube-cbrt
17×unpow-prod-down
10×add-exp-log cube-prod
8×associate-*r*
7×sqr-pow
6×add-cbrt-cube add-log-exp
5×pow1
4×expm1-log1p-u log1p-expm1-u difference-of-squares unswap-sqr
3×cube-mult pow-unpow fma-neg unpow3 associate-*l* prod-exp
2×pow-to-exp pow-exp fma-udef unpow2
1×sub-neg flip3-- pow-pow diff-log associate--l+ *-commutative flip-- cbrt-unprod distribute-lft-out--
Counts
4 → 117
Calls
4 calls:
20.0ms
(- (fma 1.0 (pow a 2) (* 3.0 (pow b 2))) (pow a 3))
0.0ms
(fma (- (fma 1.0 (pow a 2) (* 3.0 (pow b 2))) (pow a 3)) 4.0 (pow (fma a a (* b b)) 2.0))
27.0ms
(* 3.0 (pow b 2))
4.0ms
(pow (fma a a (* b b)) 2.0)

series335.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (fma 1.0 (pow a 2) (* 3.0 (pow b 2))) (pow a 3))
125.0ms
(fma (- (fma 1.0 (pow a 2) (* 3.0 (pow b 2))) (pow a 3)) 4.0 (pow (fma a a (* b b)) 2.0))
33.0ms
(* 3.0 (pow b 2))
129.0ms
(pow (fma a a (* b b)) 2.0)

simplify3.1s

Counts
129 → 129
Iterations

Useful iterations: done (3.0s)

IterNodesCost
02303243
15482662
225242256
done50021901

prune661.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (* b b) (+ 3.0 a))
9.0b
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
9.0b
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
9.0b
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cbrt-cube
8×add-cube-cbrt
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 65
Calls
4 calls:
58.0ms
(* (* b b) (+ 3.0 a))
1.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
1.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
1.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))

series877.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (* b b) (+ 3.0 a))
321.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
263.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
248.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))

simplify1.7s

Counts
77 → 77
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01242134
13302094
218821866
done50021794

prune790.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

8.5b
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
8.5b
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
9.0b
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
9.0b
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (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 (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)))
1.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
1.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))

series952.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
227.0ms
(sqrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
255.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))
267.0ms
(cbrt (fma (fma (* a a) (- 1.0 a) (* (* b b) (+ 3.0 a))) 4.0 (pow (fma a a (* b b)) 2.0)))

simplify1.6s

Counts
68 → 68
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01162294
12572156
27451972
332331906
done50001904

prune587.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes335.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01926
12026
done2026

end0.0ms

sample3.3s

Algorithm
intervals
Results
2.6s20258×body80valid