Details

Time bar (total: 8.1s)

sample24.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
6.0ms256×pre80true

simplify128.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
128.0ms
(+ (* x (* x x)) (* x x))

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (* x x))
0.0b
(+ (* x (* x x)) (* x x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
7×add-cbrt-cube add-exp-log
5×pow-prod-up
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u insert-posit16 log1p-expm1-u
1×pow2 +-commutative sum-log fma-def distribute-lft1-in flip3-+ pow-plus cube-unmult associate-*r* pow-sqr *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
2 → 44
Calls
2 calls:
Slowest
22.0ms
(* x (* x x))
19.0ms
(+ (* x (* x x)) (* x x))

series129.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
83.0ms
(+ (* x (* x x)) (* x x))
46.0ms
(* x (* x x))

simplify1.4s

Counts
23 → 50
Calls
23 calls:
Slowest
438.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
434.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
287.0ms
(* (exp (* x (* x x))) (exp (* x x)))
41.0ms
(+ (pow x 3) (pow x 2))
35.0ms
(* x (* x x))

prune292.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (fma x x x) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
1×expm1-log1p-u pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
Slowest
11.0ms
(* (fma x x x) x)

series95.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
95.0ms
(* (fma x x x) x)

simplify612.0ms

Counts
12 → 24
Calls
12 calls:
Slowest
435.0ms
(* (* (* (fma x x x) (fma x x x)) (fma x x x)) (* (* x x) x))
40.0ms
(+ (pow x 3) (pow x 2))
29.0ms
(+ (pow x 3) (pow x 2))
29.0ms
(+ (pow x 3) (pow x 2))
26.0ms
(* (sqrt (fma x x x)) (sqrt x))

prune174.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (fma x x x)) x)
0.2b
(* (sqrt (fma x x x)) (* (sqrt (fma x x x)) x))
0.0b
(sqrt (fma x x x))
0.0b
(sqrt (fma x x x))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*l*
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 81
Calls
4 calls:
Slowest
24.0ms
(* (sqrt (fma x x x)) (* (sqrt (fma x x x)) x))
7.0ms
(* (sqrt (fma x x x)) x)
1.0ms
(sqrt (fma x x x))
1.0ms
(sqrt (fma x x x))

series276.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
119.0ms
(* (sqrt (fma x x x)) (* (sqrt (fma x x x)) x))
65.0ms
(* (sqrt (fma x x x)) x)
55.0ms
(sqrt (fma x x x))
37.0ms
(sqrt (fma x x x))

simplify3.2s

Counts
47 → 93
Calls
47 calls:
Slowest
883.0ms
(* (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))) (* (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))) (* (* x x) x)))
549.0ms
(* (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))) (* (* (* (sqrt (fma x x x)) x) (* (sqrt (fma x x x)) x)) (* (sqrt (fma x x x)) x)))
409.0ms
(* (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))) (* (* x x) x))
165.0ms
(- 1/8 (+ (* 1/2 x) (pow x 2)))
110.0ms
(- (+ x 1/2) (* 1/8 (/ 1 x)))

prune684.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample892.0ms

Algorithm
intervals
Results
480.0ms8000×body80valid
276.0ms8000×pre80true