Details

Time bar (total: 1.5m)

sample825.0ms

Algorithm
intervals
Results
597.0ms203×body10240exit
139.0ms492×body80nan
56.0ms256×body80valid

simplify31.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
30.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize76.0ms

Local error

Found 4 expressions with local error:

28.0b
(sqrt (+ (* re re) (* im im)))
0.5b
(* (log base) (log base))
0.3b
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
0.3b
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1
20×add-sqr-sqrt add-cbrt-cube add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
12×log-prod
10×associate-*l* log-pow
8×associate-*r*
6×distribute-rgt-in distribute-lft-in swap-sqr prod-exp cbrt-unprod
4×cbrt-undiv div-exp insert-posit16 add-log-exp
3×sqrt-prod
2×sqrt-pow1 pow1/2 sqrt-div pow-prod-down *-commutative unswap-sqr
1×pow2 rem-sqrt-square clear-num associate-/r* frac-2neg flip3-+ times-frac pow-plus pow-sqr pow-prod-up flip-+ div-inv associate-/l*
Counts
4 → 104
Calls
4 calls:
Slowest
24.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
21.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
14.0ms
(* (log base) (log base))
12.0ms
(sqrt (+ (* re re) (* im im)))

series936.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
635.0ms
(* (log base) (log base))
145.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
117.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
39.0ms
(sqrt (+ (* re re) (* im im)))

simplify7.0s

Counts
83 → 116
Calls
83 calls:
Slowest
711.0ms
(/ (* (* (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (* (* (* (log base) (log base)) (log base)) (* (* (log base) (log base)) (log base))))
684.0ms
(/ (* (* (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (* (* (* (log base) (log base)) (* (log base) (log base))) (* (log base) (log base))))
644.0ms
(/ (* (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (log base) (log base)) (log base))) (* (* (* (log base) (log base)) (* (log base) (log base))) (* (log base) (log base))))
543.0ms
(- (+ (log (log (sqrt (+ (* re re) (* im im))))) (log (log base))) (+ (log (log base)) (log (log base))))
488.0ms
(- (log (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (log (* (log base) (log base))))

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.2b

localize39.0ms

Local error

Found 4 expressions with local error:

28.0b
(sqrt (+ (* re re) (* im im)))
0.5b
(* (log base) (log base))
0.3b
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
0.3b
(/ (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1
20×add-sqr-sqrt add-cbrt-cube add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
12×log-prod
10×associate-*l* log-pow
8×associate-*r*
6×distribute-rgt-in distribute-lft-in swap-sqr prod-exp cbrt-unprod
4×cbrt-undiv div-exp insert-posit16 add-log-exp
3×sqrt-prod
2×sqrt-pow1 pow1/2 sqrt-div pow-prod-down *-commutative unswap-sqr
1×pow2 rem-sqrt-square clear-num associate-/r* frac-2neg flip3-+ times-frac pow-plus pow-sqr pow-prod-up flip-+ div-inv associate-/l*
Counts
4 → 104
Calls
4 calls:
Slowest
25.0ms
(/ (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
21.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
15.0ms
(* (log base) (log base))
10.0ms
(sqrt (+ (* re re) (* im im)))

series610.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
257.0ms
(* (log base) (log base))
177.0ms
(/ (* (log base) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base)))
118.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
58.0ms
(sqrt (+ (* re re) (* im im)))

simplify8.0s

Counts
83 → 116
Calls
83 calls:
Slowest
801.0ms
(/ (* (* (* (log base) (log base)) (log base)) (* (* (log base) (log base)) (log base))) (* (* (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (* (log (sqrt (+ (* re re) (* im im)))) (log base))))
763.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
759.0ms
(/ (* (* (* (log base) (log base)) (* (log base) (log base))) (* (log base) (log base))) (* (* (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (* (log (sqrt (+ (* re re) (* im im)))) (log base))))
676.0ms
(- (log (* (log base) (log base))) (+ (log (log (sqrt (+ (* re re) (* im im))))) (log (log base))))
554.0ms
(/ (* (* (* (log base) (log base)) (log base)) (* (* (log base) (log base)) (log base))) (* (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (log base) (log base)) (log base))))

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.2b

localize28.0ms

Local error

Found 4 expressions with local error:

28.0b
(sqrt (+ (* re re) (* im im)))
0.5b
(* (log base) (log base))
0.4b
(* (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ 1 (* (log base) (log base))))
0.3b
(* (log (sqrt (+ (* re re) (* im im)))) (log base))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
29×add-cbrt-cube prod-exp
28×pow1
22×add-sqr-sqrt
19×*-un-lft-identity
17×add-cube-cbrt
15×associate-*r*
13×cbrt-unprod
12×log-prod
11×associate-*l*
10×log-pow
8×div-exp
6×distribute-rgt-in distribute-lft-in swap-sqr
5×pow-prod-down
4×cbrt-undiv rec-exp 1-exp insert-posit16 add-log-exp
3×times-frac *-commutative sqrt-prod
2×sqrt-pow1 pow1/2 sqrt-div unswap-sqr
1×pow2 rem-sqrt-square flip3-+ pow-plus associate-*r/ pow-sqr un-div-inv pow-prod-up flip-+ div-inv
Counts
4 → 123
Calls
4 calls:
Slowest
35.0ms
(* (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ 1 (* (log base) (log base))))
11.0ms
(sqrt (+ (* re re) (* im im)))
10.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
7.0ms
(* (log base) (log base))

series549.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
232.0ms
(* (log base) (log base))
143.0ms
(* (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ 1 (* (log base) (log base))))
117.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
56.0ms
(sqrt (+ (* re re) (* im im)))

simplify13.1s

Counts
103 → 135
Calls
103 calls:
Slowest
925.0ms
(* (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ 1 (* (log base) (log base))))
915.0ms
(+ (+ (log (log (sqrt (+ (* re re) (* im im))))) (log (log base))) (log (/ 1 (* (log base) (log base)))))
902.0ms
(* (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (/ 1 (* (log base) (log base))))
705.0ms
(* (* (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (log base) (log base)) (log base))) (* (* (/ 1 (* (log base) (log base))) (/ 1 (* (log base) (log base)))) (/ 1 (* (log base) (log base)))))
616.0ms
(+ (log (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (- (log 1) (log (* (log base) (log base)))))

prune1.8s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 9.2b

localize32.0ms

Local error

Found 4 expressions with local error:

28.0b
(sqrt (+ (* re re) (* im im)))
0.5b
(* (log base) (log base))
0.4b
(* (log base) (/ 1 (* (log base) (log base))))
0.4b
(* (log (sqrt (+ (* re re) (* im im)))) (* (log base) (/ 1 (* (log base) (log base)))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
37×pow1
29×add-cbrt-cube prod-exp
23×add-sqr-sqrt
18×*-un-lft-identity
15×add-cube-cbrt
14×associate-*l*
13×cbrt-unprod
12×associate-*r*
10×log-pow
8×div-exp
6×log-prod swap-sqr pow-prod-up
5×times-frac pow-prod-down
4×cbrt-undiv rec-exp 1-exp associate-*r/ insert-posit16 pow-flip add-log-exp unswap-sqr
3×distribute-rgt-in distribute-lft-in *-commutative sqrt-prod
2×pow2 sqrt-pow1 pow-plus pow1/2 sqrt-div pow-sqr un-div-inv
1×rem-sqrt-square flip3-+ flip-+ div-inv
Counts
4 → 125
Calls
4 calls:
Slowest
78.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (* (log base) (/ 1 (* (log base) (log base)))))
31.0ms
(* (log base) (/ 1 (* (log base) (log base))))
11.0ms
(* (log base) (log base))
6.0ms
(sqrt (+ (* re re) (* im im)))

series652.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
231.0ms
(* (log base) (/ 1 (* (log base) (log base))))
197.0ms
(* (log base) (log base))
160.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (* (log base) (/ 1 (* (log base) (log base)))))
63.0ms
(sqrt (+ (* re re) (* im im)))

simplify14.9s

Counts
109 → 137
Calls
109 calls:
Slowest
3.9s
(* (log base) (/ 1 (* (log base) (log base))))
990.0ms
(+ (log (log (sqrt (+ (* re re) (* im im))))) (+ (log (log base)) (- (log 1) (log (* (log base) (log base))))))
969.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (* (log base) (/ 1 (* (log base) (log base)))))
815.0ms
(+ (log (log (sqrt (+ (* re re) (* im im))))) (+ (log (log base)) (log (/ 1 (* (log base) (log base))))))
653.0ms
(+ (log (log (sqrt (+ (* re re) (* im im))))) (+ (log (log base)) (- 0 (+ (log (log base)) (log (log base))))))

prune1.7s

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 9.2b

regimes635.0ms

Accuracy

59.9% (9.3b remaining)

Error of 16.4b against oracle of 7.1b and baseline of 30.3b

bsearch2.4s

end0.0ms

sample36.1s

Algorithm
intervals
Results
26.9s7891×body10240exit
5.3s15831×body80nan
3.1s8000×body80valid