Details

Time bar (total: 1.1m)

sample1.1s

Algorithm
intervals
Results
849.0ms266×body10240exit
112.0ms478×body80nan
95.0ms256×body80valid

simplify105.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
105.0ms
(/ (+ (* (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

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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
18.0ms
(/ (log (hypot re im)) (log base))

series149.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
149.0ms
(/ (log (hypot re im)) (log base))

simplify1.0s

Counts
43 → 42
Calls
43 calls:
Slowest
404.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
183.0ms
(* -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))))
35.0ms
(/ (log (/ 1 re)) (log (/ 1 base)))
34.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) 1)

prune443.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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
10.0ms
(/ (log base) (log (hypot re im)))
7.0ms
(/ 1 (/ (log base) (log (hypot re im))))

series435.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
243.0ms
(/ (log base) (log (hypot re im)))
191.0ms
(/ 1 (/ (log base) (log (hypot re im))))

simplify9.4s

Counts
196 → 152
Calls
196 calls:
Slowest
863.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
805.0ms
(/ (* (* (log base) (log base)) (log base)) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
533.0ms
(/ (* (* 1 1) 1) (* (* (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im)))) (/ (log base) (log (hypot re im)))))
367.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))
284.0ms
(/ (sqrt 1) (/ (* (cbrt (log base)) (cbrt (log base))) (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im))))))

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×times-frac
23×*-un-lft-identity
22×add-cube-cbrt
16×associate-*l*
15×add-exp-log
13×pow1
9×add-cbrt-cube
8×log-pow
6×log-prod
4×associate-/r* div-exp associate-*r* prod-exp
3×distribute-rgt-in distribute-lft-in 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-*l/ *-commutative pow-flip inv-pow
Counts
2 → 86
Calls
2 calls:
Slowest
21.0ms
(* (/ 1 (log base)) (log (hypot re im)))
4.0ms
(/ 1 (log base))

series381.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
221.0ms
(/ 1 (log base))
160.0ms
(* (/ 1 (log base)) (log (hypot re im)))

simplify2.7s

Counts
78 → 92
Calls
78 calls:
Slowest
463.0ms
(* (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
405.0ms
(* (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
240.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
107.0ms
(/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base)))
100.0ms
(+ (- 0 (log (log base))) (log (log (hypot re im))))

prune979.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
30×add-sqr-sqrt
29×times-frac
24×*-un-lft-identity
23×add-cube-cbrt
20×div-exp
19×add-cbrt-cube
17×pow1
16×associate-*r* prod-exp
10×rec-exp 1-exp
8×log-pow
6×cbrt-undiv associate-/l*
5×associate-/r*
4×associate-*l* cbrt-unprod
3×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv pow-flip add-log-exp unswap-sqr
2×clear-num frac-2neg pow-prod-down associate-*r/ associate-/r/ un-div-inv inv-pow
1×*-commutative
Counts
3 → 124
Calls
3 calls:
Slowest
18.0ms
(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
17.0ms
(* (log base) (/ 1 (log (hypot re im))))
4.0ms
(/ 1 (log (hypot re im)))

series509.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
205.0ms
(* (log base) (/ 1 (log (hypot re im))))
183.0ms
(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
121.0ms
(/ 1 (log (hypot re im)))

simplify6.0s

Counts
102 → 133
Calls
102 calls:
Slowest
909.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
597.0ms
(/ (* (* 1 1) 1) (* (* (* (log base) (/ 1 (log (hypot re im)))) (* (log base) (/ 1 (log (hypot re im))))) (* (log base) (/ 1 (log (hypot re im))))))
536.0ms
(/ (* (* 1 1) 1) (* (* (* (log base) (log base)) (log base)) (/ (* (* 1 1) 1) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))))
435.0ms
(* (* (* (log base) (log base)) (log base)) (* (* (/ 1 (log (hypot re im))) (/ 1 (log (hypot re im)))) (/ 1 (log (hypot re im)))))
310.0ms
(/ (* (* 1 1) 1) (* (* (* (log base) (log base)) (log base)) (* (* (/ 1 (log (hypot re im))) (/ 1 (log (hypot re im)))) (/ 1 (log (hypot re im))))))

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes467.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample37.3s

Algorithm
intervals
Results
27.3s8072×body10240exit
5.8s16139×body80nan
3.4s8000×body80valid