Details

Time bar (total: 1.2m)

sample1.1s

Algorithm
intervals
Results
814.0ms272×body10240exit
167.0ms553×body80nan
56.0ms256×body80valid

simplify173.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
172.0ms
(/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0)) (+ (* (log base) (log base)) (* 0 0)))

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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))

series144.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
144.0ms
(/ (log (hypot re im)) (log base))

simplify1.5s

Counts
59 → 42
Calls
59 calls:
Slowest
458.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log base) (log base)) (log base)))
241.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))
206.0ms
(* (* (/ (log (hypot re im)) (log base)) (/ (log (hypot re im)) (log base))) (/ (log (hypot re im)) (log base)))
58.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log base)) (cbrt (log base))))
34.0ms
(/ (log (/ 1 re)) (log (/ 1 base)))

prune427.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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
11.0ms
(* (log (hypot re im)) (/ 1 (log base)))
4.0ms
(/ 1 (log base))

series352.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
237.0ms
(/ 1 (log base))
115.0ms
(* (log (hypot re im)) (/ 1 (log base)))

simplify5.0s

Counts
100 → 87
Calls
100 calls:
Slowest
853.0ms
(* (* (* (log (hypot re im)) (/ 1 (log base))) (* (log (hypot re im)) (/ 1 (log base)))) (* (log (hypot re im)) (/ 1 (log base))))
571.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (/ 1 (log base)) (/ 1 (log base))) (/ 1 (log base))))
290.0ms
(* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (/ (* (* 1 1) 1) (* (* (log base) (log base)) (log base))))
200.0ms
(exp (* (log (hypot re im)) (/ 1 (log base))))
190.0ms
(* -1 (/ (log (/ -1 re)) (- (log -1) (log (/ -1 base)))))

prune958.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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))))

rewrite29.0ms

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
13.0ms
(/ 1 (/ (log base) (log (hypot re im))))
12.0ms
(/ (log base) (log (hypot re im)))

series353.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
190.0ms
(/ (log base) (log (hypot re im)))
163.0ms
(/ 1 (/ (log base) (log (hypot re im))))

simplify11.6s

Counts
229 → 152
Calls
229 calls:
Slowest
764.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
524.0ms
(/ (* (* 1 1) 1) (* (* (/ (log base) (log (hypot re im))) (/ (log base) (log (hypot re im)))) (/ (log base) (log (hypot re im)))))
464.0ms
(/ (* (* (log base) (log base)) (log base)) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
443.0ms
(* (* (/ 1 (/ (log base) (log (hypot re im)))) (/ 1 (/ (log base) (log (hypot re im))))) (/ 1 (/ (log base) (log (hypot re im)))))
430.0ms
(/ (* (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 (11 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

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)))))

rewrite44.0ms

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
21.0ms
(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
16.0ms
(* (log base) (/ 1 (log (hypot re im))))
4.0ms
(/ 1 (log (hypot re im)))

series508.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
209.0ms
(/ 1 (* (log base) (/ 1 (log (hypot re im)))))
175.0ms
(* (log base) (/ 1 (log (hypot re im))))
124.0ms
(/ 1 (log (hypot re im)))

simplify10.1s

Counts
149 → 133
Calls
149 calls:
Slowest
732.0ms
(* -1 (/ (- (log -1) (log (/ -1 base))) (log (/ -1 re))))
624.0ms
(/ (* (* 1 1) 1) (* (* (* (log base) (/ 1 (log (hypot re im)))) (* (log base) (/ 1 (log (hypot re im))))) (* (log base) (/ 1 (log (hypot re im))))))
533.0ms
(* (* (/ 1 (* (log base) (/ 1 (log (hypot re im))))) (/ 1 (* (log base) (/ 1 (log (hypot re im)))))) (/ 1 (* (log base) (/ 1 (log (hypot re im))))))
442.0ms
(* (* (* (log base) (log base)) (log base)) (* (* (/ 1 (log (hypot re im))) (/ 1 (log (hypot re im)))) (/ 1 (log (hypot re im)))))
437.0ms
(* (* (* (log base) (/ 1 (log (hypot re im)))) (* (log base) (/ 1 (log (hypot re im))))) (* (log base) (/ 1 (log (hypot re im)))))

prune1.4s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes384.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample36.4s

Algorithm
intervals
Results
26.9s7892×body10240exit
5.3s15749×body80nan
3.1s8000×body80valid