Details

Time bar (total: 2.1m)

sample1.1s

Algorithm
intervals
Results
828.0ms270×body10240exit
120.0ms506×body80nan
80.0ms256×body80valid

simplify33.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
33.0ms
(/ (+ (* (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: 32.6b

localize37.0ms

Local error

Found 4 expressions with local error:

31.0b
(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)))

rewrite83.0ms

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
35.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
33.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
7.0ms
(* (log base) (log base))
6.0ms
(sqrt (+ (* re re) (* im im)))

series564.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
237.0ms
(* (log base) (log base))
145.0ms
(/ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (log base) (log base)))
115.0ms
(* (log (sqrt (+ (* re re) (* im im)))) (log base))
67.0ms
(sqrt (+ (* re re) (* im im)))

simplify6.8s

Counts
83 → 116
Calls
83 calls:
Slowest
802.0ms
(/ (* (* (* (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))))
696.0ms
(/ (* (* (* (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))))
546.0ms
(/ (* (* (* (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))))
525.0ms
(* -1 (* (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
516.0ms
(- (log (* (log (sqrt (+ (* re re) (* im im)))) (log base))) (log (* (log base) (log base))))

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.0b

localize32.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

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
12.0ms
(/ (log (/ -1 re)) (log base))

series155.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
155.0ms
(/ (log (/ -1 re)) (log base))

simplify1.4s

Counts
44 → 41
Calls
44 calls:
Slowest
193.0ms
(* -1 (/ (+ (log (/ 1 re)) (log -1)) (log (/ 1 base))))
168.0ms
(/ (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))) (* (* (log base) (log base)) (log base)))
75.0ms
(/ (log (/ -1 re)) (- (log -1) (log (/ -1 base))))
58.0ms
(/ (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re)))) (* (cbrt (log base)) (cbrt (log base))))
49.0ms
(/ (log (/ -1 re)) (log base))

prune469.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
69×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
45×pow1
42×log-pow
24×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
2×rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 142
Calls
2 calls:
Slowest
15.0ms
(/ 1 (/ (log base) (log (/ -1 re))))
7.0ms
(/ (log base) (log (/ -1 re)))

series276.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
159.0ms
(/ (log base) (log (/ -1 re)))
116.0ms
(/ 1 (/ (log base) (log (/ -1 re))))

simplify11.9s

Counts
196 → 148
Calls
196 calls:
Slowest
735.0ms
(/ (* (* 1 1) 1) (/ (* (* (log base) (log base)) (log base)) (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re)))))
374.0ms
(/ (* (* (log base) (log base)) (log base)) (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re))))
357.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re))))))
301.0ms
(/ (sqrt 1) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re))))))
199.0ms
(* -1 (/ (log (/ 1 base)) (+ (log (/ 1 re)) (log -1))))

prune1.7s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
688×times-frac
293×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
115×pow1
110×log-pow
51×add-exp-log
37×div-inv
36×div-exp
24×associate-/r*
22×associate-/l*
19×add-cbrt-cube
10×cbrt-undiv rec-exp 1-exp
3×clear-num frac-2neg insert-posit16 add-log-exp
2×pow-flip inv-pow
1×associate-/r/ associate-/l/
Counts
3 → 393
Calls
3 calls:
Slowest
15.0ms
(/ (/ 1 (log base)) (/ 1 (log (/ -1 re))))
5.0ms
(/ 1 (log (/ -1 re)))
4.0ms
(/ 1 (log base))

series569.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
230.0ms
(/ 1 (log (/ -1 re)))
210.0ms
(/ 1 (log base))
129.0ms
(/ (/ 1 (log base)) (/ 1 (log (/ -1 re))))

simplify54.2s

Counts
640 → 402
Calls
640 calls:
Slowest
1.5s
(/ (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))) (* (* (/ 1 (log (/ -1 re))) (/ 1 (log (/ -1 re)))) (/ 1 (log (/ -1 re)))))
591.0ms
(/ (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))) (/ (* (* 1 1) 1) (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re)))))
563.0ms
(/ (/ 1 (* (cbrt (log base)) (cbrt (log base)))) (/ 1 (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re))))))
537.0ms
(/ (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))) (/ (* (* 1 1) 1) (* (* (log (/ -1 re)) (log (/ -1 re))) (log (/ -1 re)))))
516.0ms
(/ (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (log base)) (cbrt (log base)))) (/ 1 (* (cbrt (log (/ -1 re))) (cbrt (log (/ -1 re))))))

prune4.3s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.0b

regimes1.2s

Accuracy

49% (11.2b remaining)

Error of 18.6b against oracle of 7.4b and baseline of 29.3b

bsearch1.1s

end0.0ms

sample36.2s

Algorithm
intervals
Results
26.8s8049×body10240exit
4.9s15802×body80nan
3.4s8000×body80valid