Details

Time bar (total: 1.2m)

sample959.0ms

Algorithm
intervals
Results
748.0ms256×body10240exit
116.0ms550×body80nan
53.0ms256×body80valid

simplify142.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
141.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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
7.0ms
(/ (log (hypot re im)) (log base))
0.0ms
(hypot re im)

series179.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
123.0ms
(/ (log (hypot re im)) (log base))
57.0ms
(hypot re im)

simplify1.1s

Counts
46 → 56
Calls
46 calls:
Slowest
448.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
209.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
47.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log base)) (cbrt (log base))))
42.0ms
(/ (log (/ 1 re)) (log (/ 1 base)))
33.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) 1)

prune521.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (log base) (log (hypot re im)))
0.3b
(/ 1 (/ (log base) (log (hypot re im))))
0.0b
(hypot re im)

rewrite31.0ms

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))))
12.0ms
(/ (log base) (log (hypot re im)))
0.0ms
(hypot re im)

series451.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
204.0ms
(/ (log base) (log (hypot re im)))
175.0ms
(/ 1 (/ (log base) (log (hypot re im))))
72.0ms
(hypot re im)

simplify10.3s

Counts
199 → 166
Calls
199 calls:
Slowest
1.3s
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
483.0ms
(/ (* (* 1 1) 1) (* (* (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im)))) (/ (log base) (log (hypot re im)))))
406.0ms
(/ (* (* (log base) (log base)) (log base)) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
346.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))
326.0ms
(/ (sqrt 1) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))

prune1.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
31×add-sqr-sqrt
29×times-frac
25×*-un-lft-identity
24×add-cube-cbrt
20×add-cbrt-cube div-exp
18×pow1
16×associate-*r* prod-exp
10×rec-exp 1-exp
8×log-pow
6×cbrt-undiv associate-/l*
5×associate-/r*
4×expm1-log1p-u associate-*l* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×div-inv pow-flip unswap-sqr
2×clear-num frac-2neg pow-prod-down associate-*r/ associate-/r/ un-div-inv inv-pow
1×hypot-udef *-commutative
Counts
4 → 135
Calls
4 calls:
Slowest
14.0ms
(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
11.0ms
(* (log base) (/ 1 (log (hypot re im))))
5.0ms
(/ 1 (log (hypot re im)))
0.0ms
(hypot re im)

series587.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
223.0ms
(* (log base) (/ 1 (log (hypot re im))))
187.0ms
(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
112.0ms
(/ 1 (log (hypot re im)))
65.0ms
(hypot re im)

simplify6.5s

Counts
105 → 147
Calls
105 calls:
Slowest
949.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
592.0ms
(/ (* (* 1 1) 1) (* (* (* (log base) (/ 1 (log (hypot re im)))) (* (log base) (/ 1 (log (hypot re im))))) (* (log base) (/ 1 (log (hypot re im))))))
556.0ms
(/ (* (* 1 1) 1) (* (* (* (log base) (log base)) (log base)) (/ (* (* 1 1) 1) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))))
440.0ms
(/ (* (* 1 1) 1) (* (* (* (log base) (log base)) (log base)) (* (* (/ 1 (log (hypot re im))) (/ 1 (log (hypot re im)))) (/ 1 (log (hypot re im))))))
419.0ms
(* (* (* (log base) (log base)) (log base)) (* (* (/ 1 (log (hypot re im))) (/ 1 (log (hypot re im)))) (/ 1 (log (hypot re im)))))

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))))
0.5b
(* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))
0.4b
(/ (log (hypot re im)) (log base))
0.4b
(/ (log (hypot re im)) (log base))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
95×pow1
92×*-un-lft-identity
84×log-pow
80×add-sqr-sqrt
68×add-cube-cbrt
40×swap-sqr
20×add-cbrt-cube associate-*r* associate-*l* add-exp-log
8×associate-/r* associate-/l*
7×cbrt-div
6×frac-times cbrt-undiv div-exp associate-*l/ div-inv
4×expm1-log1p-u prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×clear-num frac-2neg
1×cbrt-prod pow2 pow-plus pow1/3 pow3 pow-prod-down pow-sqr *-commutative pow-prod-up rem-cbrt-cube
Counts
4 → 209
Calls
4 calls:
Slowest
42.0ms
(cbrt (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))))
32.0ms
(* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))
12.0ms
(/ (log (hypot re im)) (log base))
11.0ms
(/ (log (hypot re im)) (log base))

series611.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
179.0ms
(* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base)))
149.0ms
(/ (log (hypot re im)) (log base))
143.0ms
(/ (log (hypot re im)) (log base))
139.0ms
(cbrt (* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base))))

simplify10.0s

Counts
246 → 221
Calls
246 calls:
Slowest
460.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
435.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
414.0ms
(* (/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log base)) (cbrt (log base)))) (/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log base)) (cbrt (log base)))))
322.0ms
(/ (pow (log (/ 1 re)) 2) (pow (log (/ 1 base)) 2))
245.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))

prune2.5s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

regimes340.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch3.0ms

end0.0ms

sample35.4s

Algorithm
intervals
Results
25.2s7787×body10240exit
5.0s15845×body80nan
4.2s8000×body80valid