Details

Time bar (total: 2.2m)

sample945.0ms

Algorithm
intervals
Results
711.0ms234×body10240exit
123.0ms521×body80nan
78.0ms256×body80valid

simplify28.0ms

Calls
1 calls:
Slowest
28.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize52.0ms

Local error

Found 4 expressions with local error:

30.9b
(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)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
320×times-frac
244×add-sqr-sqrt
211×*-un-lft-identity
208×associate-*l*
196×log-pow
188×pow1
163×add-cube-cbrt
160×associate-*r*
110×swap-sqr
40×*-commutative unswap-sqr
23×sqrt-pow1 pow1/2
20×associate-/r* add-cbrt-cube add-exp-log
16×associate-/l*
12×log-prod
8×sqrt-prod
6×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
5×distribute-lft-out
4×cbrt-undiv div-exp insert-posit16 add-log-exp
2×sqrt-div pow-prod-down
1×pow2 rem-sqrt-square clear-num frac-2neg flip3-+ pow-plus pow-sqr pow-prod-up flip-+ div-inv
Calls
4 calls:
Slowest
46.0ms
(sqrt (+ (* re re) (* im im)))
40.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
21.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
15.0ms
(* (log base) (log base))

series478.0ms

Calls
4 calls:
Slowest
202.0ms
(* (log base) (log base))
123.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
103.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
51.0ms
(sqrt (+ (* re re) (* im im)))

simplify1.3m

Calls
756 calls:
Slowest
2.4s
(/ (* (log (+ (* re re) (* im im))) (log base)) (* (sqrt (log base)) (sqrt (log base))))
2.3s
(/ (* (log (+ (* re re) (* im im))) (log base)) (* (sqrt (log base)) (sqrt (log base))))
2.3s
(/ (* (log (+ (* re re) (* im im))) (log base)) (* (sqrt (log base)) (sqrt (log base))))
2.2s
(/ (* (log (+ (* re re) (* im im))) (log base)) (* (sqrt (log base)) (sqrt (log base))))
781.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))

prune5.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log (/ -1 re)) (log base))
0.0b
(log (/ -1 re))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity times-frac
23×add-sqr-sqrt add-cube-cbrt
18×log-div
13×pow1 log-prod
12×associate-/l*
11×log-pow
10×associate-/r*
9×div-sub
7×add-exp-log
5×clear-num
4×add-cbrt-cube log-rec
3×frac-2neg
2×div-exp rem-log-exp distribute-frac-neg insert-posit16 div-inv add-log-exp
1×cbrt-undiv
Calls
2 calls:
Slowest
18.0ms
(/ (log (/ -1 re)) (log base))
5.0ms
(log (/ -1 re))

series307.0ms

Calls
2 calls:
Slowest
167.0ms
(log (/ -1 re))
140.0ms
(/ (log (/ -1 re)) (log base))

simplify2.7s

Calls
83 calls:
Slowest
231.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
208.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
143.0ms
(log (/ (* (cbrt -1) (cbrt -1)) (* (cbrt re) (cbrt re))))
95.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
78.0ms
(/ (log (/ -1 (* (cbrt re) (cbrt re)))) (log base))

prune871.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.9b

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log (/ -1 re)) (log base))
0.0b
(log (/ -1 re))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity times-frac
23×add-sqr-sqrt add-cube-cbrt
18×log-div
13×pow1 log-prod
12×associate-/l*
11×log-pow
10×associate-/r*
9×div-sub
7×add-exp-log
5×clear-num
4×add-cbrt-cube log-rec
3×frac-2neg
2×div-exp rem-log-exp distribute-frac-neg insert-posit16 div-inv add-log-exp
1×cbrt-undiv
Calls
2 calls:
Slowest
11.0ms
(/ (log (/ -1 re)) (log base))
3.0ms
(log (/ -1 re))

series326.0ms

Calls
2 calls:
Slowest
191.0ms
(log (/ -1 re))
135.0ms
(/ (log (/ -1 re)) (log base))

simplify2.5s

Calls
83 calls:
Slowest
178.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
177.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
155.0ms
(log (/ (* (cbrt -1) (cbrt -1)) (* (cbrt re) (cbrt re))))
96.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
85.0ms
(/ (log (/ -1 (* (cbrt re) (cbrt re)))) (log base))

prune888.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.9b

localize22.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (log (/ -1 re)) (/ 1 (log base)))
0.3b
(/ 1 (log base))
0.0b
(log (/ -1 re))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
36×*-un-lft-identity
35×times-frac
32×add-cube-cbrt
19×add-exp-log
16×pow1 associate-*r*
13×log-prod
12×associate-/l*
11×associate-/r*
10×add-cbrt-cube associate-*r/ log-pow
9×log-div
6×clear-num
5×div-exp
4×associate-*l* log-rec prod-exp
3×frac-2neg un-div-inv insert-posit16 div-inv add-log-exp unswap-sqr
2×distribute-lft-neg-out cbrt-undiv rec-exp 1-exp rem-log-exp cbrt-unprod
1×pow-prod-down *-commutative pow-flip inv-pow
Calls
3 calls:
Slowest
15.0ms
(* (log (/ -1 re)) (/ 1 (log base)))
4.0ms
(/ 1 (log base))
3.0ms
(log (/ -1 re))

series580.0ms

Calls
3 calls:
Slowest
238.0ms
(/ 1 (log base))
206.0ms
(log (/ -1 re))
136.0ms
(* (log (/ -1 re)) (/ 1 (log base)))

simplify3.6s

Calls
115 calls:
Slowest
469.0ms
(* (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))))
257.0ms
(* (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
228.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
139.0ms
(log (/ (* (cbrt -1) (cbrt -1)) (* (cbrt re) (cbrt re))))
108.0ms
(+ (log (log (/ -1 re))) (- (log 1) (log (log base))))

prune1.4s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 7.9b

regimes788.0ms

Accuracy

45.3% (11.9b remaining)

Error of 19.2b against oracle of 7.4b and baseline of 29.1b

bsearch2.4s

end0.0ms

sample35.2s

Algorithm
intervals
Results
26.2s7998×body10240exit
4.9s16085×body80nan
3.2s8000×body80valid