Details

Time bar (total: 1.2m)

sample163.0ms

Algorithm
intervals
Results
132.0ms454×body80valid

simplify374.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
374.0ms
(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))))))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize89.0ms

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))

rewrite9.6s

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×insert-posit16 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 → 155
Calls
4 calls:
Slowest
9.5s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
59.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
31.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.0ms
(sqrt PI)

series213.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
112.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
59.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
42.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify22.0s

Counts
129 → 165
Calls
129 calls:
Slowest
587.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
560.0ms
(+ (- (log 1) (log 21)) (log (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
549.0ms
(+ (- (log 1) (log 21)) (+ (log (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))))
542.0ms
(+ (- (log 1) (log 21)) (+ (+ (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))))
530.0ms
(+ (- (log 21)) (+ (+ (log (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))))

prune3.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

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))

rewrite130.0ms

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×unpow-prod-down insert-posit16 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 → 108
Calls
4 calls:
Slowest
77.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
32.0ms
(* (* (fabs x) (fabs x)) (fabs x))
17.0ms
(* 1/21 (pow (fabs x) 7))
1.0ms
(sqrt PI)

series197.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
78.0ms
(* 1/21 (pow (fabs x) 7))
76.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
42.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify6.8s

Counts
86 → 118
Calls
86 calls:
Slowest
493.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
397.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
383.0ms
(* (* (* (/ 2 3) (/ 2 3)) (/ 2 3)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))
369.0ms
(+ (- (log 2) (log 3)) (log (* (* (fabs x) (fabs x)) (fabs x))))
314.0ms
(* (* (* (/ 2 3) (/ 2 3)) (/ 2 3)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))

prune2.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

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))

rewrite140.0ms

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 pow-sqr insert-posit16 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 → 111
Calls
4 calls:
Slowest
87.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
32.0ms
(* (* (fabs x) (fabs x)) (fabs x))
18.0ms
(* (* (fabs x) (fabs x)) (fabs x))
2.0ms
(sqrt PI)

series122.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
56.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
36.0ms
(* (* (fabs x) (fabs x)) (fabs x))
29.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify6.3s

Counts
92 → 121
Calls
92 calls:
Slowest
510.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
454.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
439.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
375.0ms
(* (* (* (/ 2 3) (/ 2 3)) (/ 2 3)) (* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))
360.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))

prune2.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize117.0ms

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))

rewrite167.0ms

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 pow-sqr insert-posit16 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 → 111
Calls
4 calls:
Slowest
99.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
32.0ms
(* (* (fabs x) (fabs x)) (fabs x))
31.0ms
(* (* (fabs x) (fabs x)) (fabs x))
2.0ms
(sqrt PI)

series136.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
57.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
42.0ms
(* (* (fabs x) (fabs x)) (fabs x))
36.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify6.9s

Counts
92 → 121
Calls
92 calls:
Slowest
568.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
536.0ms
(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) (* (* (* (pow (fabs x) 3) (fabs x)) (fabs x)) (fabs x))) (fabs x)))))
487.0ms
(* (* (* (* (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))))
385.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))

prune2.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes126.0ms

Accuracy

0% (0.1b remaining)

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

bsearch18.0ms

end0.0ms

sample5.4s

Algorithm
intervals
Results
5.2s13863×body80valid