Details

Time bar (total: 32.1s)

sample33.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
15.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize40.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (hypot re im)) (log 10))

rewrite18.0ms

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
16.0ms
(/ (log (hypot re im)) (log 10))

series262.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
262.0ms
(/ (log (hypot re im)) (log 10))

simplify1.3s

Counts
43 → 42
Calls
43 calls:
Slowest
466.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log 10) (log 10)) (log 10)))
183.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))
116.0ms
(* -1 (/ (log (/ -1 re)) (log 10)))
52.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log 10)) (cbrt (log 10))))
28.0ms
(- (log (log (hypot re im))) (log (log 10)))

prune480.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (log (hypot re im)) (sqrt (log 10)))
0.3b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
96×add-sqr-sqrt
59×sqrt-prod
56×*-un-lft-identity
50×add-cube-cbrt
32×associate-*r*
31×pow1
27×log-pow
26×add-exp-log
25×associate-*l*
16×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod associate-/l*
3×div-inv
2×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 153
Calls
2 calls:
Slowest
30.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
10.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series521.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
314.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
208.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))

simplify7.7s

Counts
175 → 159
Calls
175 calls:
Slowest
534.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (/ (log (hypot re im)) (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10)))) (/ (log (hypot re im)) (sqrt (log 10)))))
461.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
250.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))))
188.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))))
187.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))

prune1.7s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (log 10)))
0.3b
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
32×times-frac
26×add-exp-log
25×*-un-lft-identity associate-*l*
23×add-cube-cbrt
22×sqrt-prod
16×add-cbrt-cube
10×pow1
9×div-exp
8×prod-exp
7×associate-/r*
6×log-prod log-pow
5×cbrt-undiv unswap-sqr
4×associate-*r* cbrt-unprod
3×distribute-rgt-in distribute-lft-in
2×expm1-log1p-u rec-exp 1-exp associate-*l/ insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 96
Calls
2 calls:
Slowest
28.0ms
(/ (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (log 10)))
15.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

series456.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
275.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
181.0ms
(/ (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (sqrt (log 10)))

simplify4.8s

Counts
88 → 102
Calls
88 calls:
Slowest
554.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
366.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
308.0ms
(/ (* (* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (* (/ 1 (sqrt (log 10))) (log (hypot re im)))) (* (/ 1 (sqrt (log 10))) (log (hypot re im)))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
257.0ms
(/ (* (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im)))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
239.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
0.3b
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
45×add-sqr-sqrt
40×prod-exp
35×*-un-lft-identity
33×add-cube-cbrt
29×associate-*r*
28×add-cbrt-cube
26×associate-*l* sqrt-prod
20×div-exp
16×pow1
12×cbrt-unprod
10×rec-exp 1-exp
7×log-pow
6×cbrt-undiv log-prod
5×unswap-sqr
4×pow-prod-down associate-*l/
3×distribute-rgt-in distribute-lft-in
2×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
1×frac-times associate-*r/ un-div-inv
Counts
2 → 128
Calls
2 calls:
Slowest
82.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
17.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))

series493.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
288.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
205.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

simplify9.4s

Counts
116 → 134
Calls
116 calls:
Slowest
801.0ms
(* (* (* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (* (/ 1 (sqrt (log 10))) (log (hypot re im)))) (* (/ 1 (sqrt (log 10))) (log (hypot re im)))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))))
661.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
458.0ms
(* (* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im)))) (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))))
342.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))))
314.0ms
(* (* (* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (* (/ 1 (sqrt (log 10))) (log (hypot re im)))) (* (/ 1 (sqrt (log 10))) (log (hypot re im)))) (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))))

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes555.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s8000×body80valid