Details

Time bar (total: 1.4m)

sample155.0ms

Algorithm
intervals
Results
131.0ms476×body80valid

simplify417.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
417.0ms
(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))))))

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.1b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))

rewrite743.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log
75×add-cbrt-cube prod-exp
53×pow1
45×cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
13×div-exp
8×cbrt-undiv
6×pow-plus pow-prod-up
5×rec-exp 1-exp 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 → 141
Calls
4 calls:
Slowest
664.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
43.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
30.0ms
(* (* (fabs x) (fabs x)) (fabs x))
1.0ms
(sqrt PI)

series170.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
79.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
50.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
42.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify16.3s

Counts
115 → 151
Calls
115 calls:
Slowest
547.0ms
(+ (log (/ 1 5)) (log (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x))))
509.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
497.0ms
(+ (log (/ 1 5)) (+ (log (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))))
489.0ms
(+ (- 0 (log 5)) (+ (+ (+ (+ (log (fabs x)) (log (fabs x))) (log (fabs x))) (log (fabs x))) (log (fabs x))))
450.0ms
(+ (- 0 (log 5)) (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))))

prune3.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize146.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
0.1b
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
0.1b
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.1b
(* (* (fabs x) (fabs x)) (fabs x))

rewrite699.0ms

Algorithm
rewrite-expression-head
Rules
115×add-exp-log
75×add-cbrt-cube prod-exp
53×pow1
45×cbrt-unprod
27×associate-*l*
24×pow-prod-down
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
13×div-exp
8×cbrt-undiv
6×pow-plus pow-prod-up
5×rec-exp 1-exp 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 → 141
Calls
4 calls:
Slowest
577.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
86.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
29.0ms
(* (* (fabs x) (fabs x)) (fabs x))
2.0ms
(sqrt PI)

series182.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
83.0ms
(* (/ 1 5) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
68.0ms
(* (/ 2 3) (* (* (fabs x) (fabs x)) (fabs x)))
31.0ms
(* (* (fabs x) (fabs x)) (fabs x))
0.0ms
(sqrt PI)

simplify16.6s

Counts
115 → 151
Calls
115 calls:
Slowest
702.0ms
(* (* (* (/ 2 3) (/ 2 3)) (/ 2 3)) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x))))
580.0ms
(* (* (* (* (fabs x) (fabs x)) (* (fabs x) (fabs x))) (* (fabs x) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
512.0ms
(+ (log (/ 1 5)) (+ (log (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x))) (log (fabs x))))
496.0ms
(+ (log (/ 1 5)) (+ (+ (log (* (* (fabs x) (fabs x)) (fabs x))) (log (fabs x))) (log (fabs x))))
447.0ms
(* (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (fabs x) (fabs x)) (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))

prune3.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

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

rewrite394.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
20×add-cbrt-cube add-exp-log
19×pow1
18×times-frac
15×sqrt-prod
9×pow-prod-down prod-exp cbrt-unprod
8×associate-*r/
6×associate-/r* associate-/l/
5×flip3-+ flip-+
4×associate-*r* associate-*l* frac-add insert-posit16 add-log-exp
3×associate-/l*
2×*-commutative
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv unswap-sqr
Counts
4 → 102
Calls
4 calls:
Slowest
291.0ms
(/ (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* 1/5 (* (fabs x) (fabs x))))) (* (fabs x) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) 2))) (sqrt PI))
74.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)
26.0ms
(* 1/5 (* (fabs x) (fabs x)))
1.0ms
(sqrt PI)

series444.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
355.0ms
(/ (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* 1/5 (* (fabs x) (fabs x))))) (* (fabs x) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) 2))) (sqrt PI))
51.0ms
(* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)
38.0ms
(* 1/5 (* (fabs x) (fabs x)))
0.0ms
(sqrt PI)

simplify19.8s

Counts
89 → 112
Calls
89 calls:
Slowest
1.0s
(/ (* (* (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* 1/5 (* (fabs x) (fabs x))))) (* (fabs x) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) 2))) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* 1/5 (* (fabs x) (fabs x))))) (* (fabs x) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) 2)))) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* 1/5 (* (fabs x) (fabs x))))) (* (fabs x) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) 2)))) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)))
743.0ms
(/ (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* 1/5 (* (fabs x) (fabs x))))) (* (fabs x) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) 2))) (sqrt PI))
609.0ms
(+ (* (* (* (* (fabs x) (fabs x)) (fabs x)) (- (* 2/3 2/3) (* (* 1/5 (* (fabs x) (fabs x))) (* 1/5 (* (fabs x) (fabs x)))))) (- (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) 2)) (* (- 2/3 (* 1/5 (* (fabs x) (fabs x)))) (* (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)) (fabs x)) 1/21))) (* 2 2)))))
606.0ms
(+ (pow (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* 1/5 (* (fabs x) (fabs x))))) 3) (pow (* (fabs x) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) 2)) 3))
552.0ms
(- (* (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* 1/5 (* (fabs x) (fabs x))))) (* (* (* (fabs x) (fabs x)) (fabs x)) (+ 2/3 (* 1/5 (* (fabs x) (fabs x)))))) (* (* (fabs x) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) 2)) (* (fabs x) (+ (* (* (* (fabs x) (fabs x)) (fabs x)) (* (* (* (fabs x) (fabs x)) (fabs x)) 1/21)) 2))))

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 2/3 (fabs x))
0.1b
(* (* 2/3 (fabs x)) (fabs x))
0.1b
(* 1/5 (pow (fabs x) 5))
0.1b
(* (sqrt (/ 1 PI)) (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x))))) (* 1/21 (pow (fabs x) 7))))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
23×associate-*l*
20×*-un-lft-identity
19×add-cube-cbrt
18×add-exp-log
16×associate-*r* sqrt-prod
15×add-cbrt-cube
13×pow1
11×times-frac
8×prod-exp unswap-sqr
6×cbrt-unprod
5×pow-prod-down
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
3×sqrt-div
2×frac-times flip3-+ associate-*r/ flip-+ sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in associate-*l/ pow-exp div-inv
Counts
4 → 106
Calls
4 calls:
Slowest
82.0ms
(* (sqrt (/ 1 PI)) (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x))))) (* 1/21 (pow (fabs x) 7))))
35.0ms
(* (* 2/3 (fabs x)) (fabs x))
15.0ms
(* 1/5 (pow (fabs x) 5))
7.0ms
(* 2/3 (fabs x))

series457.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
336.0ms
(* (sqrt (/ 1 PI)) (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x))))) (* 1/21 (pow (fabs x) 7))))
72.0ms
(* 1/5 (pow (fabs x) 5))
30.0ms
(* (* 2/3 (fabs x)) (fabs x))
19.0ms
(* 2/3 (fabs x))

simplify10.9s

Counts
88 → 118
Calls
88 calls:
Slowest
1.0s
(* (* (* (sqrt (/ 1 PI)) (sqrt (/ 1 PI))) (sqrt (/ 1 PI))) (* (* (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x))))) (* 1/21 (pow (fabs x) 7))) (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x))))) (* 1/21 (pow (fabs x) 7)))) (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x))))) (* 1/21 (pow (fabs x) 7)))))
637.0ms
(* (* (* (* 2/3 (fabs x)) (* 2/3 (fabs x))) (* 2/3 (fabs x))) (* (* (fabs x) (fabs x)) (fabs x)))
561.0ms
(* (sqrt PI) (+ (* (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x))))) (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x)))))) (- (* (* 1/21 (pow (fabs x) 7)) (* 1/21 (pow (fabs x) 7))) (* (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x))))) (* 1/21 (pow (fabs x) 7))))))
433.0ms
(+ (* (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x))))) (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x)))))) (- (* (* 1/21 (pow (fabs x) 7)) (* 1/21 (pow (fabs x) 7))) (* (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x))))) (* 1/21 (pow (fabs x) 7)))))
407.0ms
(sqrt (+ (+ (* 1/5 (pow (fabs x) 5)) (* (fabs x) (+ 2 (* (* 2/3 (fabs x)) (fabs x))))) (* 1/21 (pow (fabs x) 7))))

prune2.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample5.3s

Algorithm
intervals
Results
5.1s14035×body80valid