Details

Time bar (total: 56.4s)

sample1.1s

Algorithm
intervals
Results
776.0ms247×body10240exit
215.0ms526×body80nan
65.0ms256×body80valid

simplify21.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
21.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize44.0ms

Local error

Found 4 expressions with local error:

32.1b
(sqrt (+ (* re re) (* im im)))
0.5b
(* (log base) (log base))
0.4b
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
0.3b
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))

rewrite61.0ms

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
29.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
12.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
10.0ms
(sqrt (+ (* re re) (* im im)))
8.0ms
(* (log base) (log base))

series559.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
272.0ms
(* (log base) (log base))
123.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
108.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
55.0ms
(sqrt (+ (* re re) (* im im)))

simplify6.9s

Counts
83 → 116
Calls
83 calls:
Slowest
804.0ms
(/ (* (* (* (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))))
733.0ms
(/ (* (* (* (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))))
697.0ms
(/ (* (* (* (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))))
536.0ms
(/ (* (* (* (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))))
463.0ms
(* (* (* (log (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im))))) (log (sqrt (+ (* re re) (* im im))))) (* (* (log base) (log base)) (log base)))

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (log (/ -1 re)) (log base))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* associate-/l*
3×add-cbrt-cube add-exp-log
1×cbrt-undiv log-div clear-num frac-2neg div-sub div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
Slowest
9.0ms
(/ (log (/ -1 re)) (log base))

series101.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
101.0ms
(/ (log (/ -1 re)) (log base))

simplify1.7s

Counts
44 → 41
Calls
44 calls:
Slowest
246.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
230.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
106.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
86.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))
51.0ms
(/ (log (/ -1 re)) (sqrt (log base)))

prune461.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.9b

localize15.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ (log (/ -1 re)) (log base))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* associate-/l*
3×add-cbrt-cube add-exp-log
1×cbrt-undiv log-div clear-num frac-2neg div-sub div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
Slowest
8.0ms
(/ (log (/ -1 re)) (log base))

series148.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
148.0ms
(/ (log (/ -1 re)) (log base))

simplify1.7s

Counts
44 → 41
Calls
44 calls:
Slowest
249.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
212.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
98.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
81.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))
55.0ms
(/ (log (/ -1 re)) (sqrt (log base)))

prune534.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.9b

localize26.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (log (/ -1 re)) (/ 1 (log base)))
0.3b
(/ 1 (log base))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×times-frac
21×*-un-lft-identity
20×add-cube-cbrt
16×associate-*r*
15×add-exp-log
13×pow1
9×add-cbrt-cube
8×log-pow
4×associate-/r* div-exp associate-*l* prod-exp
3×associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod insert-posit16 div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
2 → 77
Calls
2 calls:
Slowest
12.0ms
(* (log (/ -1 re)) (/ 1 (log base)))
5.0ms
(/ 1 (log base))

series327.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
202.0ms
(/ 1 (log base))
125.0ms
(* (log (/ -1 re)) (/ 1 (log base)))

simplify2.6s

Counts
73 → 83
Calls
73 calls:
Slowest
496.0ms
(* (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))))
206.0ms
(* (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
202.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
119.0ms
(/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base)))
111.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))

prune858.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 8.9b

regimes1.3s

Accuracy

54% (10.1b remaining)

Error of 17.2b against oracle of 7.1b and baseline of 29.1b

bsearch125.0ms

end0.0ms

sample36.2s

Algorithm
intervals
Results
26.8s7931×body10240exit
5.3s15870×body80nan
3.0s8000×body80valid