Details

Time bar (total: 48.2s)

sample58.0ms

Algorithm
intervals
Results
44.0ms256×body80valid

simplify28.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
28.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (hypot re im)) (log 10))
0.0b
(hypot re im)

rewrite17.0ms

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
16.0ms
(/ (log (hypot re im)) (log 10))
0.0ms
(hypot re im)

series296.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
247.0ms
(/ (log (hypot re im)) (log 10))
49.0ms
(hypot re im)

simplify1.3s

Counts
46 → 56
Calls
46 calls:
Slowest
466.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log 10) (log 10)) (log 10)))
133.0ms
(* -1 (/ (log (/ 1 re)) (log 10)))
107.0ms
(* -1 (/ (log (/ -1 re)) (log 10)))
54.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (* (cbrt (log 10)) (cbrt (log 10))))
42.0ms
(/ (* (cbrt (log (hypot re im))) (cbrt (log (hypot re im)))) (sqrt (log 10)))

prune614.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (log (hypot re im)) (sqrt (log 10)))
0.3b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
0.0b
(hypot re im)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
97×add-sqr-sqrt
59×sqrt-prod
57×*-un-lft-identity
51×add-cube-cbrt
32×pow1 associate-*r*
27×add-exp-log log-pow
25×associate-*l*
17×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod associate-/l*
3×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
2×rec-exp 1-exp
1×frac-times hypot-udef clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 164
Calls
3 calls:
Slowest
32.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
7.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
0.0ms
(hypot re im)

series605.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
300.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
222.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
83.0ms
(hypot re im)

simplify7.7s

Counts
178 → 173
Calls
178 calls:
Slowest
532.0ms
(* (* (* (/ 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)))))
432.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
251.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (* (* (/ (log (hypot re im)) (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10)))) (/ (log (hypot re im)) (sqrt (log 10)))))
215.0ms
(* (* (* (/ 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)))))
210.0ms
(* (/ (* (* 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)))))

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (hypot re im)) (sqrt (hypot re im)))
0.4b
(/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log 10)))
0.3b
(* (/ 1 (sqrt (log 10))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log 10))))
0.0b
(sqrt (hypot re im))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
300×pow1
281×times-frac
248×log-pow
184×sqrt-prod
172×add-sqr-sqrt
129×sqrt-pow1 pow1/2 associate-*r*
119×*-un-lft-identity
113×add-cube-cbrt
80×pow-prod-up
49×pow-prod-down
48×pow-sqr
31×associate-*l*
30×add-exp-log
20×add-cbrt-cube
19×unswap-sqr
17×associate-/l*
16×pow2 pow-plus
9×div-exp prod-exp
8×swap-sqr
7×associate-/r*
5×cbrt-undiv cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×div-inv
2×rec-exp 1-exp *-commutative
1×frac-times rem-sqrt-square clear-num rem-square-sqrt frac-2neg sqrt-unprod associate-*l/ associate-*r/
Counts
4 → 416
Calls
4 calls:
Slowest
75.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log 10))))
43.0ms
(/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log 10)))
9.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))
2.0ms
(sqrt (hypot re im))

series634.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
294.0ms
(/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log 10)))
189.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log 10))))
95.0ms
(sqrt (hypot re im))
55.0ms
(* (sqrt (hypot re im)) (sqrt (hypot re im)))

simplify14.8s

Counts
528 → 428
Calls
528 calls:
Slowest
1.3s
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (* (* (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log 10))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log 10)))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log 10)))))
588.0ms
(/ (* (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10))))
242.0ms
(* (/ (* (* 1 1) 1) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))) (/ (* (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))))
232.0ms
(* (* (* (/ 1 (sqrt (log 10))) (/ 1 (sqrt (log 10)))) (/ 1 (sqrt (log 10)))) (/ (* (* (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (* (sqrt (log 10)) (sqrt (log 10))) (sqrt (log 10)))))
216.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (log 10))))

prune4.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ (/ (log (hypot re im)) (log 10)) (log 10))
0.6b
(/ (log (hypot re im)) (log 10))
0.6b
(/ (* (log (hypot re im)) (log (hypot re im))) (log 10))
0.5b
(* (log (hypot re im)) (log (hypot re im)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
180×times-frac
90×add-sqr-sqrt pow1 *-un-lft-identity
88×add-cube-cbrt
79×log-pow
25×associate-/l*
18×add-cbrt-cube add-exp-log
12×associate-/r*
8×div-inv
6×cbrt-undiv log-prod swap-sqr div-exp
4×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
3×distribute-rgt-in clear-num frac-2neg distribute-lft-in
2×prod-exp cbrt-unprod
1×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up unswap-sqr associate-/l/
Counts
4 → 226
Calls
4 calls:
Slowest
22.0ms
(/ (* (log (hypot re im)) (log (hypot re im))) (log 10))
21.0ms
(/ (/ (log (hypot re im)) (log 10)) (log 10))
15.0ms
(* (log (hypot re im)) (log (hypot re im)))
13.0ms
(/ (log (hypot re im)) (log 10))

series806.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
250.0ms
(/ (/ (log (hypot re im)) (log 10)) (log 10))
228.0ms
(/ (log (hypot re im)) (log 10))
213.0ms
(/ (* (log (hypot re im)) (log (hypot re im))) (log 10))
115.0ms
(* (log (hypot re im)) (log (hypot re im)))

simplify9.9s

Counts
291 → 238
Calls
291 calls:
Slowest
531.0ms
(/ (* (* (* (log (hypot re im)) (log (hypot re im))) (* (log (hypot re im)) (log (hypot re im)))) (* (log (hypot re im)) (log (hypot re im)))) (* (* (log 10) (log 10)) (log 10)))
491.0ms
(/ (* (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im)))) (* (* (log 10) (log 10)) (log 10)))
461.0ms
(/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log 10) (log 10)) (log 10)))
402.0ms
(* -1 (/ (log (/ 1 re)) (pow (log 10) 2)))
377.0ms
(/ (/ (* (* (log (hypot re im)) (log (hypot re im))) (log (hypot re im))) (* (* (log 10) (log 10)) (log 10))) (* (* (log 10) (log 10)) (log 10)))

prune2.9s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (0.5b remaining)

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

bsearch3.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.1s8000×body80valid