Details

Time bar (total: 48.0s)

sample184.0ms

Algorithm
intervals
Results
153.0ms457×body80valid

simplify518.0ms

Calls
1 calls:
Slowest
518.0ms
(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: 0.0b

localize73.0ms

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 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
68×pow1 add-cbrt-cube add-exp-log
49×pow-prod-down prod-exp cbrt-unprod
12×associate-*l*
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l/ *-commutative div-inv
1×pow1/2
Calls
4 calls:
Slowest
1.4s
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
238.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
52.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

series101.0ms

Calls
4 calls:
Slowest
38.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
36.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
27.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify13.2s

Calls
67 calls:
Slowest
485.0ms
(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))))))
404.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
403.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
401.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
394.0ms
(* (/ 1 21) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))

prune2.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* 1/21 (pow (fabs x) 7))

rewrite349.0ms

Algorithm
rewrite-expression-head
Rules
33×pow1 add-cbrt-cube add-exp-log
21×pow-prod-down prod-exp cbrt-unprod
8×add-sqr-sqrt *-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×unpow-prod-down *-commutative
2×associate-*l/ div-inv
1×pow1/2
Calls
4 calls:
Slowest
289.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
56.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
3.0ms
(* 1/21 (pow (fabs x) 7))
0.0ms
(sqrt PI)

series107.0ms

Calls
4 calls:
Slowest
47.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
34.0ms
(* 1/21 (pow (fabs x) 7))
26.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify6.1s

Calls
48 calls:
Slowest
422.0ms
(+ (log (/ 1 5)) (+ (+ (+ (log (* (fabs x) (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))))
392.0ms
(+ (log (/ 1 5)) (+ (+ (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))))
381.0ms
(+ (log (/ 1 5)) (+ (log (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))))
372.0ms
(+ (log (/ 1 5)) (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))))
366.0ms
(+ (log (/ 1 5)) (log (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))

prune2.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (/ 1 5)) (cbrt (/ 1 5)))
1.0b
(cbrt (/ 1 5))
1.0b
(cbrt (/ 1 5))
1.0b
(cbrt (/ 1 5))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
7×cbrt-div pow1/3 associate-*r* associate-*l*
6×add-exp-log
5×div-inv
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
4 calls:
Slowest
6.0ms
(* (cbrt (/ 1 5)) (cbrt (/ 1 5)))
1.0ms
(cbrt (/ 1 5))
1.0ms
(cbrt (/ 1 5))
1.0ms
(cbrt (/ 1 5))

series0.0ms

Calls
4 calls:
Slowest
0.0ms
(* (cbrt (/ 1 5)) (cbrt (/ 1 5)))
0.0ms
(cbrt (/ 1 5))
0.0ms
(cbrt (/ 1 5))
0.0ms
(cbrt (/ 1 5))

simplify426.0ms

Calls
45 calls:
Slowest
20.0ms
(cbrt (* (cbrt (/ 1 5)) (cbrt (/ 1 5))))
19.0ms
(* (cbrt 1) (cbrt (/ 1 5)))
19.0ms
(* (cbrt (/ 1 5)) (cbrt (/ 1 5)))
17.0ms
(cbrt (sqrt (/ 1 5)))
16.0ms
(cbrt (cbrt (/ 1 5)))

prune1.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

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 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (/ 1 21) (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))

rewrite756.0ms

Algorithm
rewrite-expression-head
Rules
60×pow1 add-cbrt-cube add-exp-log
42×pow-prod-down prod-exp cbrt-unprod
12×associate-*l*
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l/ *-commutative div-inv
1×pow1/2
Calls
4 calls:
Slowest
525.0ms
(* (/ 1 21) (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
200.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
28.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

series130.0ms

Calls
4 calls:
Slowest
48.0ms
(* (/ 1 21) (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
46.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
35.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms
(sqrt PI)

simplify11.7s

Calls
64 calls:
Slowest
468.0ms
(+ (log (/ 1 21)) (+ (+ (+ (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))))
454.0ms
(+ (log (/ 1 21)) (+ (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))))
451.0ms
(+ (log (/ 1 21)) (+ (+ (+ (+ (log (* (fabs x) (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))))
444.0ms
(+ (log (/ 1 21)) (log (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
377.0ms
(+ (log (/ 1 5)) (+ (+ (+ (log (* (fabs x) (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))))

prune2.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes148.0ms

Accuracy

0% (0.2b remaining)

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

bsearch7.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
4.4s13957×body80valid