Details

Time bar (total: 1.3m)

sample1.6s

Algorithm
intervals
Results
1.1s110×body10240exit
154.0ms50×body1280nan
149.0ms259×body80valid
101.0ms27×body640nan
40.0ms21×body320nan
7.0ms7×body160nan
6.0ms9×body80nan

simplify346.0ms

Calls
1 calls:
Slowest
345.0ms
(* (/ PI (sin (* PI z))) (* (* (* (sqrt (* PI 2)) (pow (+ (+ (- (- 1 z) 1) 7) 0.5) (+ (- (- 1 z) 1) 0.5))) (exp (- (+ (+ (- (- 1 z) 1) 7) 0.5)))) (+ (+ (+ (+ (+ (+ (+ (+ 0.9999999999998099 (/ 676.5203681218851 (+ (- (- 1 z) 1) 1))) (/ -1259.1392167224028 (+ (- (- 1 z) 1) 2))) (/ 771.3234287776531 (+ (- (- 1 z) 1) 3))) (/ -176.6150291621406 (+ (- (- 1 z) 1) 4))) (/ 12.507343278686905 (+ (- (- 1 z) 1) 5))) (/ -0.13857109526572012 (+ (- (- 1 z) 1) 6))) (/ 9.984369578019572e-06 (+ (- (- 1 z) 1) 7))) (/ 1.5056327351493116e-07 (+ (- (- 1 z) 1) 8)))))

prune98.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize174.0ms

Local error

Found 4 expressions with local error:

6.6b
(- (- 1 z) 1)
1.0b
(sqrt (* 2 PI))
1.0b
(* (pow (+ (+ (- 1 z) 6) 0.5) (+ (- (- 1 z) 1) 0.5)) (/ 1 (exp (+ (+ (- 1 z) 6) 0.5))))
0.9b
(+ (/ 771.3234287776531 (+ (- 1 z) 2)) 0.9999999999998099)

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log
8×add-sqr-sqrt
7×*-un-lft-identity associate-*l* add-cube-cbrt
6×add-cbrt-cube prod-exp
5×associate-*r*
4×pow1 associate-+l- insert-posit16 add-log-exp
3×rec-exp unpow-prod-down
2×pow-to-exp sub-neg pow-exp associate--l+ pow-sub
1×associate--l- frac-times unpow-prod-up +-commutative flip3-+ flip3-- pow1/2 exp-diff difference-of-sqr-1 associate-*l/ associate-*r/ associate-/r/ un-div-inv *-commutative sqrt-prod cbrt-unprod flip-+ div-inv flip--
Calls
4 calls:
Slowest
150.0ms
(* (pow (+ (+ (- 1 z) 6) 0.5) (+ (- (- 1 z) 1) 0.5)) (/ 1 (exp (+ (+ (- 1 z) 6) 0.5))))
6.0ms
(- (- 1 z) 1)
5.0ms
(+ (/ 771.3234287776531 (+ (- 1 z) 2)) 0.9999999999998099)
1.0ms
(sqrt (* 2 PI))

series103.0ms

Calls
4 calls:
Slowest
79.0ms
(* (pow (+ (+ (- 1 z) 6) 0.5) (+ (- (- 1 z) 1) 0.5)) (/ 1 (exp (+ (+ (- 1 z) 6) 0.5))))
16.0ms
(+ (/ 771.3234287776531 (+ (- 1 z) 2)) 0.9999999999998099)
8.0ms
(- (- 1 z) 1)
0.0ms
(sqrt (* 2 PI))

simplify9.1s

Calls
35 calls:
Slowest
673.0ms
(pow (* (cbrt (+ (+ (- 1 z) 6) 0.5)) (cbrt (+ (+ (- 1 z) 6) 0.5))) (+ (- (- 1 z) 1) 0.5))
652.0ms
(* (cbrt (pow (+ (+ (- 1 z) 6) 0.5) (+ (- (- 1 z) 1) 0.5))) (cbrt (pow (+ (+ (- 1 z) 6) 0.5) (+ (- (- 1 z) 1) 0.5))))
643.0ms
(pow (sqrt (+ (+ (- 1 z) 6) 0.5)) (+ (- (- 1 z) 1) 0.5))
635.0ms
(sqrt (pow (+ (+ (- 1 z) 6) 0.5) (+ (- (- 1 z) 1) 0.5)))
570.0ms
(- (+ (* 0.5688888888888889 (* (/ (pow z 2) (exp 7.5)) (pow (pow 7.5 1.0) 0.5))) (+ (* 1/2 (* (/ (* (pow (log 7.5) 2) (pow z 2)) (exp 7.5)) (pow (pow 7.5 1.0) 0.5))) (+ (* (pow (pow 7.5 1.0) 0.5) (/ 1 (exp 7.5))) (* 0.9333333333333333 (* (/ z (exp 7.5)) (pow (pow 7.5 1.0) 0.5)))))) (+ (* 0.25 (* (/ (pow z 2) (exp 7.5)) (pow (/ 1 (pow 7.5 3.0)) 0.5))) (+ (* 0.9333333333333333 (* (/ (* (log 7.5) (pow z 2)) (exp 7.5)) (pow (pow 7.5 1.0) 0.5))) (* (/ (* (log 7.5) z) (exp 7.5)) (pow (pow 7.5 1.0) 0.5)))))

prune3.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize74.0ms

Local error

Found 4 expressions with local error:

6.6b
(- (- 1 z) 1)
6.6b
(- (- 1 z) 1)
1.0b
(sqrt (* 2 PI))
0.9b
(* (cbrt (+ (+ (- 1 z) 6) 0.5)) (cbrt (+ (+ (- 1 z) 6) 0.5)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-div
10×add-sqr-sqrt
9×pow1
8×*-un-lft-identity add-cube-cbrt
6×cbrt-prod flip3-+ associate-*r* associate-*l* add-exp-log flip-+
4×frac-times sub-neg add-cbrt-cube pow1/3 associate--l+ insert-posit16 add-log-exp
2×associate--l- flip3-- difference-of-sqr-1 pow-prod-down associate-*l/ associate-*r/ pow-prod-up flip--
1×pow2 pow-plus pow1/2 prod-exp *-commutative sqrt-prod cbrt-unprod
Calls
4 calls:
Slowest
70.0ms
(* (cbrt (+ (+ (- 1 z) 6) 0.5)) (cbrt (+ (+ (- 1 z) 6) 0.5)))
6.0ms
(- (- 1 z) 1)
6.0ms
(- (- 1 z) 1)
1.0ms
(sqrt (* 2 PI))

series84.0ms

Calls
4 calls:
Slowest
65.0ms
(* (cbrt (+ (+ (- 1 z) 6) 0.5)) (cbrt (+ (+ (- 1 z) 6) 0.5)))
10.0ms
(- (- 1 z) 1)
9.0ms
(- (- 1 z) 1)
0.0ms
(sqrt (* 2 PI))

simplify8.2s

Calls
45 calls:
Slowest
632.0ms
(pow (* (cbrt (+ (+ (- 1 z) 6) 0.5)) (cbrt (+ (+ (- 1 z) 6) 0.5))) (+ (- (- 1 z) 1) 0.5))
546.0ms
(* (cbrt (+ (* (+ (- 1 z) 6) (+ (- 1 z) 6)) (- (* 0.5 0.5) (* (+ (- 1 z) 6) 0.5)))) (cbrt (+ (* (+ (- 1 z) 6) (+ (- 1 z) 6)) (- (* 0.5 0.5) (* (+ (- 1 z) 6) 0.5)))))
527.0ms
(cbrt (+ (* (+ (- 1 z) 6) (+ (- 1 z) 6)) (- (* 0.5 0.5) (* (+ (- 1 z) 6) 0.5))))
426.0ms
(* (cbrt (- (* (+ (- 1 z) 6) (+ (- 1 z) 6)) (* 0.5 0.5))) (cbrt (- (* (+ (- 1 z) 6) (+ (- 1 z) 6)) (* 0.5 0.5))))
380.0ms
(* (cbrt (- (* (+ (- 1 z) 6) (+ (- 1 z) 6)) (* 0.5 0.5))) (cbrt (+ (+ (- 1 z) 6) 0.5)))

prune4.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.4b

localize89.0ms

Local error

Found 4 expressions with local error:

6.6b
(- (- 1 z) 1)
6.6b
(- (- 1 z) 1)
1.0b
(sqrt (* 2 PI))
0.9b
(+ (/ 771.3234287776531 (+ (- 1 z) 2)) 0.9999999999998099)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 sub-neg *-un-lft-identity add-cbrt-cube associate--l+ add-exp-log add-cube-cbrt insert-posit16 add-log-exp
2×associate--l- flip3-- difference-of-sqr-1 flip--
1×+-commutative flip3-+ pow1/2 sqrt-prod flip-+
Calls
4 calls:
Slowest
5.0ms
(+ (/ 771.3234287776531 (+ (- 1 z) 2)) 0.9999999999998099)
3.0ms
(- (- 1 z) 1)
3.0ms
(- (- 1 z) 1)
0.0ms
(sqrt (* 2 PI))

series30.0ms

Calls
4 calls:
Slowest
14.0ms
(+ (/ 771.3234287776531 (+ (- 1 z) 2)) 0.9999999999998099)
9.0ms
(- (- 1 z) 1)
6.0ms
(- (- 1 z) 1)
0.0ms
(sqrt (* 2 PI))

simplify1.1s

Calls
13 calls:
Slowest
385.0ms
(* (cbrt (- (* (+ (- 1 z) 6) (+ (- 1 z) 6)) (* 0.5 0.5))) (cbrt (+ (+ (- 1 z) 6) 0.5)))
287.0ms
(- 0.9999999999998099 (+ (* 2313.9702863329594 (/ 1 (pow z 2))) (* 771.3234287776531 (/ 1 z))))
278.0ms
(- 0.9999999999998099 (+ (* 2313.9702863329594 (/ 1 (pow z 2))) (* 771.3234287776531 (/ 1 z))))
71.0ms
(+ (* 85.702603197517 z) (+ (* 28.567534399172338 (pow z 2)) 258.10780959255084))
11.0ms
(+ (sqrt (- 1 z)) 1)

prune3.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

6.6b
(- (- 1 z) 1)
6.6b
(- (- 1 z) 1)
1.0b
(sqrt (* 2 PI))
0.9b
(+ (/ 771.3234287776531 (+ (- 1 z) 2)) 0.9999999999998099)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 sub-neg *-un-lft-identity add-cbrt-cube associate--l+ add-exp-log add-cube-cbrt insert-posit16 add-log-exp
2×associate--l- flip3-- difference-of-sqr-1 flip--
1×+-commutative flip3-+ pow1/2 sqrt-prod flip-+
Calls
4 calls:
Slowest
10.0ms
(+ (/ 771.3234287776531 (+ (- 1 z) 2)) 0.9999999999998099)
7.0ms
(- (- 1 z) 1)
6.0ms
(- (- 1 z) 1)
1.0ms
(sqrt (* 2 PI))

series37.0ms

Calls
4 calls:
Slowest
16.0ms
(+ (/ 771.3234287776531 (+ (- 1 z) 2)) 0.9999999999998099)
10.0ms
(- (- 1 z) 1)
10.0ms
(- (- 1 z) 1)
0.0ms
(sqrt (* 2 PI))

simplify640.0ms

Calls
12 calls:
Slowest
254.0ms
(- 0.9999999999998099 (+ (* 2313.9702863329594 (/ 1 (pow z 2))) (* 771.3234287776531 (/ 1 z))))
220.0ms
(- 0.9999999999998099 (+ (* 2313.9702863329594 (/ 1 (pow z 2))) (* 771.3234287776531 (/ 1 z))))
75.0ms
(+ (* 85.702603197517 z) (+ (* 28.567534399172338 (pow z 2)) 258.10780959255084))
17.0ms
(+ (sqrt (- 1 z)) 1)
16.0ms
(+ (sqrt (- 1 z)) 1)

prune3.4s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.1b

regimes281.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch16.0ms

end0.0ms

sample40.8s

Algorithm
intervals
Results
22.1s3850×body10240exit
6.2s1498×body1280nan
5.6s8091×body80valid
3.8s1225×body640nan
2.0s608×body320nan
459.0ms291×body160nan
240.0ms310×body80nan