Details

Time bar (total: 1.1m)

sample142.0ms

Algorithm
intervals
Results
124.0ms454×body80valid

simplify484.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
484.0ms
(fabs (* (/ 1 (sqrt PI)) (+ (+ (+ (* 2 (fabs x)) (* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))) (* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))) (* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))))

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize121.0ms

Local error

Found 4 expressions with local error:

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

rewrite8.8s

Algorithm
rewrite-expression-head
Rules
177×add-exp-log
127×prod-exp
107×add-cbrt-cube
71×cbrt-unprod
68×pow1
37×pow-prod-down
27×associate-*l*
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
17×div-exp
10×cbrt-undiv
7×rec-exp 1-exp
6×pow-plus pow-prod-up
5×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative sqrt-prod
2×pow2 associate-*l/ pow-sqr div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2 pow3 unswap-sqr
Counts
4 → 163
Calls
4 calls:
Slowest
8.7s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
49.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.0ms
(sqrt PI)

series189.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
88.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
57.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
44.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify22.4s

Counts
129 → 173
Calls
129 calls:
Slowest
741.0ms
(* (/ (* (* 1 1) 1) (* (* 21 21) 21)) (* (* (* (* (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))
618.0ms
(+ (- (log 1) (log 21)) (+ (+ (+ (+ (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))))
594.0ms
(+ (- (log 1) (log 21)) (+ (log (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))))
587.0ms
(+ (- (log 1) (log 21)) (log (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
568.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))

prune3.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize74.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.2b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b
(* 1/21 (pow (fabs x) 7))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
33×pow1
32×add-cbrt-cube
23×add-sqr-sqrt
18×prod-exp
17×associate-*l*
16×*-un-lft-identity add-cube-cbrt cbrt-unprod
11×associate-*r*
9×times-frac pow-prod-down
6×pow-plus pow-prod-up
4×expm1-log1p-u unpow-prod-down insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv div-exp *-commutative sqrt-prod
2×pow2 pow-sqr sqr-pow
1×pow-to-exp rem-sqrt-square sqrt-pow1 pow1/2 pow3 associate-*l/ pow-exp div-inv
Counts
4 → 116
Calls
4 calls:
Slowest
72.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
16.0ms
(* 1/21 (pow (fabs x) 7))
1.0ms
(sqrt PI)

series189.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
95.0ms
(* 1/21 (pow (fabs x) 7))
53.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
41.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify6.6s

Counts
86 → 126
Calls
86 calls:
Slowest
530.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
401.0ms
(* (* (* (/ 2 3) (/ 2 3)) (/ 2 3)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))
393.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
319.0ms
(* (* (* (/ 2 3) (/ 2 3)) (/ 2 3)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))
316.0ms
(+ (- (log 2) (log 3)) (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))))

prune2.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize142.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.2b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))

rewrite146.0ms

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
91.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
29.0ms
(* (* (fabs x) (fabs x)) (fabs x))
21.0ms
(* (* (fabs x) (fabs x)) (fabs x))
2.0ms
(sqrt PI)

series137.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
63.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
41.0ms
(* (* (fabs x) (fabs x)) (fabs x))
33.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify6.0s

Counts
92 → 129
Calls
92 calls:
Slowest
503.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
479.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
393.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
347.0ms
(* (* (* (/ 2 3) (/ 2 3)) (/ 2 3)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))
342.0ms
(* (* (* (/ 2 3) (/ 2 3)) (/ 2 3)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))

prune3.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.2b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))

rewrite110.0ms

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
68.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
22.0ms
(* (* (fabs x) (fabs x)) (fabs x))
16.0ms
(* (* (fabs x) (fabs x)) (fabs x))
2.0ms
(sqrt PI)

series110.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
48.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
35.0ms
(* (* (fabs x) (fabs x)) (fabs x))
26.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify5.9s

Counts
92 → 129
Calls
92 calls:
Slowest
467.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
440.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
409.0ms
(+ (- (log 2) (log 3)) (log (* (* (fabs x) (fabs x)) (fabs x))))
386.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
342.0ms
(* (* (* (/ 2 3) (/ 2 3)) (/ 2 3)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))

prune2.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes206.0ms

Accuracy

0% (0.1b remaining)

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

bsearch9.0ms

end0.0ms

sample4.9s

Algorithm
intervals
Results
4.6s13863×body80valid