Details

Time bar (total: 28.3s)

sample168.0ms

Algorithm
intervals
Results
147.0ms475×body80valid

simplify3.1s

Counts
1 → 1

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.1b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
52×pow1
35×add-cbrt-cube add-exp-log
18×prod-exp cbrt-unprod
17×add-sqr-sqrt
15×associate-*l*
14×*-un-lft-identity add-cube-cbrt
12×pow-plus pow-prod-down pow-prod-up
9×times-frac
7×associate-*r*
4×pow2 expm1-log1p-u pow-sqr insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp *-commutative sqrt-prod
2×pow3 unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ div-inv
Counts
4 → 119
Calls
4 calls:
Slowest
54.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
22.0ms
(* (* (fabs x) (fabs x)) (fabs x))
15.0ms
(* (* (fabs x) (fabs x)) (fabs x))
2.0ms
(sqrt PI)

series138.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
70.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
37.0ms
(* (* (fabs x) (fabs x)) (fabs x))
31.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify2.4s

Counts
129 → 129

prune2.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize98.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.2b
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
0.2b
(* (fabs x) (sqrt (fabs x)))
0.2b
(* (fabs x) (sqrt (fabs x)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
78×pow1
29×pow-prod-up
28×add-sqr-sqrt
22×pow-prod-down
20×add-cbrt-cube add-exp-log
13×associate-*r*
11×*-un-lft-identity sqrt-pow1 pow1/2 add-cube-cbrt sqrt-prod
10×prod-exp cbrt-unprod
8×pow3
7×associate-*l* pow-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×pow-plus
1×pow2 rem-sqrt-square swap-sqr
Counts
4 → 120
Calls
4 calls:
Slowest
37.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
7.0ms
(* (fabs x) (sqrt (fabs x)))
7.0ms
(* (fabs x) (sqrt (fabs x)))
1.0ms
(sqrt PI)

series160.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
68.0ms
(* (fabs x) (sqrt (fabs x)))
49.0ms
(* (* (fabs x) (sqrt (fabs x))) (* (fabs x) (sqrt (fabs x))))
43.0ms
(* (fabs x) (sqrt (fabs x)))
0.0ms
(sqrt PI)

simplify3.5s

Counts
130 → 130

prune2.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.3b
(/ (fma (fabs x) (fma (* (fabs x) (fabs x)) 2/3 2) (fma (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) 1/21) (/ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) 5))) (sqrt PI))
0.2b
(* (* (fabs x) (fabs x)) 1/21)
0.1b
(* (* (fabs x) (fabs x)) (fabs x))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1
25×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
18×times-frac
16×add-cbrt-cube add-exp-log
15×sqrt-prod
6×associate-/r* pow-plus associate-*r* pow-prod-down prod-exp pow-prod-up cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/l*
2×pow2 associate-*l* pow-sqr *-commutative unswap-sqr
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp pow3 div-inv
Counts
4 → 111
Calls
4 calls:
Slowest
29.0ms
(* (* (fabs x) (fabs x)) (fabs x))
26.0ms
(* (* (fabs x) (fabs x)) 1/21)
5.0ms
(/ (fma (fabs x) (fma (* (fabs x) (fabs x)) 2/3 2) (fma (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) 1/21) (/ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) 5))) (sqrt PI))
1.0ms
(sqrt PI)

series885.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
787.0ms
(/ (fma (fabs x) (fma (* (fabs x) (fabs x)) 2/3 2) (fma (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) 1/21) (/ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (fabs x) (fabs x))) 5))) (sqrt PI))
51.0ms
(* (* (fabs x) (fabs x)) 1/21)
47.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify1.8s

Counts
121 → 121

prune1.7s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fabs x) (fma (* (fabs x) (fabs x)) 2/3 2)))) (sqrt (/ 1 PI)))
0.0b
(* (fabs x) (fma (* (fabs x) (fabs x)) 2/3 2))
0.0b
(fma (pow (fabs x) 7) 1/21 (* (fabs x) (fma (* (fabs x) (fabs x)) 2/3 2)))
0.0b
(fma (* (fabs x) (fabs x)) 2/3 2)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
19×associate-*r*
16×*-un-lft-identity sqrt-prod
15×add-cube-cbrt
11×times-frac
8×pow1 add-cbrt-cube add-exp-log
6×associate-*l*
5×unswap-sqr
4×expm1-log1p-u fma-udef insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod
1×distribute-rgt-in distribute-lft-in sqrt-div associate-*r/ div-inv
Counts
4 → 83
Calls
4 calls:
Slowest
11.0ms
(* (fabs x) (fma (* (fabs x) (fabs x)) 2/3 2))
10.0ms
(* (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fabs x) (fma (* (fabs x) (fabs x)) 2/3 2)))) (sqrt (/ 1 PI)))
0.0ms
(fma (pow (fabs x) 7) 1/21 (* (fabs x) (fma (* (fabs x) (fabs x)) 2/3 2)))
0.0ms
(fma (* (fabs x) (fabs x)) 2/3 2)

series625.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
342.0ms
(* (fma 1/5 (pow (fabs x) 5) (fma (pow (fabs x) 7) 1/21 (* (fabs x) (fma (* (fabs x) (fabs x)) 2/3 2)))) (sqrt (/ 1 PI)))
187.0ms
(fma (pow (fabs x) 7) 1/21 (* (fabs x) (fma (* (fabs x) (fabs x)) 2/3 2)))
52.0ms
(* (fabs x) (fma (* (fabs x) (fabs x)) 2/3 2))
44.0ms
(fma (* (fabs x) (fabs x)) 2/3 2)

simplify1.6s

Counts
95 → 95

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample4.8s

Algorithm
intervals
Results
4.5s14086×body80valid