Details

Time bar (total: 19.5s)

sample37.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
10.0ms256×pre80true

simplify155.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
155.0ms
(+ (* x (* x x)) (* x x))

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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
10.0ms
(* (fma x x x) x)

series91.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
91.0ms
(* (fma x x x) x)

simplify1.7s

Counts
24 → 24
Calls
24 calls:
Slowest
663.0ms
(* (* (* (fma x x x) x) (* (fma x x x) x)) (* (fma x x x) x))
431.0ms
(* (* (* (fma x x x) (fma x x x)) (fma x x x)) (* (* x x) x))
117.0ms
(* (fma x x x) (* (cbrt x) (cbrt x)))
59.0ms
(* (cbrt (* (fma x x x) x)) (cbrt (* (fma x x x) x)))
58.0ms
(exp (* (fma x x x) x))

prune119.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

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
33.0ms
(+ (* x (* x x)) (* x x))
28.0ms
(* x (* x x))

series145.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
98.0ms
(+ (* x (* x x)) (* x x))
47.0ms
(* x (* x x))

simplify5.4s

Counts
49 → 50
Calls
49 calls:
Slowest
685.0ms
(* (* (* x x) x) (* (* (* x x) x) (* (* x x) x)))
504.0ms
(* (* (* x x) x) (* (* (* x x) (* x x)) (* x x)))
422.0ms
(* (* (* x (* x x)) (* x (* x x))) (* x (* x x)))
419.0ms
(+ (pow (* x (* x x)) 3) (pow (* x x) 3))
342.0ms
(+ (* (* x (* x x)) (* x (* x x))) (- (* (* x x) (* x x)) (* (* x (* x x)) (* x x))))

prune333.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

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
25.0ms
(* (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))

series304.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
123.0ms
(* (sqrt (fma x x x)) (* (sqrt (fma x x x)) x))
71.0ms
(* (sqrt (fma x x x)) x)
57.0ms
(sqrt (fma x x x))
53.0ms
(sqrt (fma x x x))

simplify6.8s

Counts
95 → 93
Calls
95 calls:
Slowest
822.0ms
(* (* (* (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)))
699.0ms
(* (* (* (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)))
686.0ms
(* (* (* (sqrt (fma x x x)) x) (* (sqrt (fma x x x)) x)) (* (sqrt (fma x x x)) x))
513.0ms
(* (* (* (sqrt (fma x x x)) (* (sqrt (fma x x x)) x)) (* (sqrt (fma x x x)) (* (sqrt (fma x x x)) x))) (* (sqrt (fma x x x)) (* (sqrt (fma x x x)) x)))
491.0ms
(* (* (* (sqrt (fma x x x)) (sqrt (fma x x x))) (sqrt (fma x x x))) (* (* x x) x))

prune733.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

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 insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
Slowest
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
301.0ms
(cbrt x)
284.0ms
(cbrt x)
261.0ms
(cbrt x)
257.0ms
(cbrt x)

simplify999.0ms

Counts
76 → 68
Calls
76 calls:
Slowest
183.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
160.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
159.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
109.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
22.0ms
(pow (/ 1 x) -1/3)

prune492.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample889.0ms

Algorithm
intervals
Results
484.0ms8000×body80valid
276.0ms8000×pre80true