Details

Time bar (total: 56.4s)

sample1.1s

Algorithm
intervals
Results
843.0ms266×body10240exit
125.0ms499×body80nan
93.0ms256×body80valid

simplify102.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
102.0ms
(/ (+ (* (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 1 expressions with local error:

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

rewrite12.0ms

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×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
Slowest
8.0ms
(/ (log (hypot re im)) (log base))

series134.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
134.0ms
(/ (log (hypot re im)) (log base))

simplify1.3s

Counts
43 → 42
Calls
43 calls:
Slowest
500.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
220.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
68.0ms
(/ (* (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)))) 1)
36.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log base)))

prune494.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
Slowest
13.0ms
(/ (log (hypot re im)) (log base))

series526.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
526.0ms
(/ (log (hypot re im)) (log base))

simplify1.1s

Counts
43 → 42
Calls
43 calls:
Slowest
419.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
186.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
73.0ms
(/ (* (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)))) 1)
29.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) 1)

prune530.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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×expm1-log1p-u cbrt-undiv rec-exp 1-exp cbrt-unprod insert-posit16 log1p-expm1-u 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 → 81
Calls
2 calls:
Slowest
14.0ms
(* (log (hypot re im)) (/ 1 (log base)))
6.0ms
(/ 1 (log base))

series361.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
229.0ms
(/ 1 (log base))
132.0ms
(* (log (hypot re im)) (/ 1 (log base)))

simplify2.4s

Counts
73 → 87
Calls
73 calls:
Slowest
400.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
313.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))))
228.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
136.0ms
(/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base)))
85.0ms
(/ 1 (- (log -1) (log (/ -1 base))))

prune936.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

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×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 146
Calls
2 calls:
Slowest
12.0ms
(/ (log base) (log (hypot re im)))
11.0ms
(/ 1 (/ (log base) (log (hypot re im))))

series361.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
194.0ms
(/ 1 (/ (log base) (log (hypot re im))))
167.0ms
(/ (log base) (log (hypot re im)))

simplify9.2s

Counts
196 → 152
Calls
196 calls:
Slowest
818.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
491.0ms
(/ (* (* 1 1) 1) (* (* (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im)))) (/ (log base) (log (hypot re im)))))
442.0ms
(/ (* (* (log base) (log base)) (log base)) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
384.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))
340.0ms
(/ (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 (11 fresh and 1 done)

Merged error: 0.0b

regimes506.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample35.5s

Algorithm
intervals
Results
27.7s8004×body10240exit
4.9s15885×body80nan
2.1s8000×body80valid