Details

Time bar (total: 1.1m)

sample801.0ms

Algorithm
intervals
Results
588.0ms203×body10240exit
135.0ms492×body80nan
50.0ms256×body80valid

simplify148.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
147.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log (hypot re im)) (log base))
0.0b
(hypot re im)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
12×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef clear-num frac-2neg div-exp div-inv
Counts
2 → 50
Calls
2 calls:
Slowest
13.0ms
(/ (log (hypot re im)) (log base))
0.0ms
(hypot re im)

series230.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
164.0ms
(/ (log (hypot re im)) (log base))
66.0ms
(hypot re im)

simplify1.1s

Counts
46 → 56
Calls
46 calls:
Slowest
497.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
200.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
42.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log base)) (cbrt (log base))))
34.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log base)))
28.0ms
(/ (log (/ 1 re)) (log (/ 1 base)))

prune588.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (log base) (log (hypot re im)))
0.2b
(/ 1 (/ (log base) (log (hypot re im))))
0.0b
(hypot re im)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
70×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×pow1
42×log-pow
24×associate-/r*
16×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp
1×hypot-udef associate-/r/ pow-flip inv-pow
Counts
3 → 157
Calls
3 calls:
Slowest
14.0ms
(/ 1 (/ (log base) (log (hypot re im))))
13.0ms
(/ (log base) (log (hypot re im)))
0.0ms
(hypot re im)

series395.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
173.0ms
(/ 1 (/ (log base) (log (hypot re im))))
164.0ms
(/ (log base) (log (hypot re im)))
58.0ms
(hypot re im)

simplify9.7s

Counts
199 → 166
Calls
199 calls:
Slowest
817.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
512.0ms
(/ (* (* 1 1) 1) (* (* (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im)))) (/ (log base) (log (hypot re im)))))
439.0ms
(/ (* (* (log base) (log base)) (log base)) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
403.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))
285.0ms
(/ (sqrt 1) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))

prune1.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ (log (hypot re im)) (log base))
0.0b
(hypot re im)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
12×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
10×log-pow
4×associate-/r* add-cbrt-cube add-exp-log associate-/l*
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef clear-num frac-2neg div-exp div-inv
Counts
2 → 50
Calls
2 calls:
Slowest
14.0ms
(/ (log (hypot re im)) (log base))
0.0ms
(hypot re im)

series230.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
141.0ms
(/ (log (hypot re im)) (log base))
89.0ms
(hypot re im)

simplify1.2s

Counts
46 → 56
Calls
46 calls:
Slowest
395.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
260.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
45.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log base)) (cbrt (log base))))
37.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log base)))
35.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) 1)

prune545.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (log base) (log (hypot re im)))
0.2b
(/ 1 (/ (log base) (log (hypot re im))))
0.0b
(hypot re im)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
70×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
46×pow1
42×log-pow
24×associate-/r*
16×add-exp-log
10×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp
1×hypot-udef associate-/r/ pow-flip inv-pow
Counts
3 → 157
Calls
3 calls:
Slowest
7.0ms
(/ 1 (/ (log base) (log (hypot re im))))
6.0ms
(/ (log base) (log (hypot re im)))
0.0ms
(hypot re im)

series489.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
220.0ms
(/ (log base) (log (hypot re im)))
194.0ms
(/ 1 (/ (log base) (log (hypot re im))))
74.0ms
(hypot re im)

simplify9.7s

Counts
199 → 166
Calls
199 calls:
Slowest
734.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
522.0ms
(/ (* (* (log base) (log base)) (log base)) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
462.0ms
(/ (cbrt 1) (/ (cbrt (log base)) (sqrt (log (hypot re im)))))
442.0ms
(/ (* (* 1 1) 1) (* (* (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im)))) (/ (log base) (log (hypot re im)))))
315.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))

prune1.7s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes303.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample35.2s

Algorithm
intervals
Results
27.0s7891×body10240exit
5.4s15831×body80nan
1.9s8000×body80valid