Details

Time bar (total: 19.6s)

sample64.0ms

Algorithm
intervals
Results
48.0ms256×body80valid

simplify28.0ms

Counts
1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize28.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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
13.0ms
(/ (log (hypot re im)) (log 10))
0.0ms
(hypot re im)

series292.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
219.0ms
(/ (log (hypot re im)) (log 10))
73.0ms
(hypot re im)

simplify2.7s

Counts
56 → 56

prune609.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

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)

rewrite30.0ms

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
20.0ms
(* (/ 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)

series623.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
305.0ms
(/ (log (hypot re im)) (sqrt (log 10)))
240.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
78.0ms
(hypot re im)

simplify1.8s

Counts
173 → 173

prune1.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
0.2b
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
0.0b
(hypot re im)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
46×add-sqr-sqrt times-frac
40×prod-exp
36×*-un-lft-identity
34×add-cube-cbrt
29×add-cbrt-cube associate-*r*
26×associate-*l* sqrt-prod
20×div-exp
17×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 expm1-log1p-u distribute-lft-in insert-posit16 log1p-expm1-u add-log-exp
2×*-commutative div-inv
1×frac-times hypot-udef associate-*r/ un-div-inv
Counts
3 → 139
Calls
3 calls:
Slowest
80.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
14.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
0.0ms
(hypot re im)

series607.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
322.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
197.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))
87.0ms
(hypot re im)

simplify2.6s

Counts
148 → 148

prune1.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (log (hypot re im))))
0.3b
(* (* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (log (hypot re im)))) (/ 1 (sqrt (log 10))))
0.2b
(* (sqrt (/ 1 (sqrt (log 10)))) (log (hypot re im)))
0.0b
(hypot re im)

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
69×add-sqr-sqrt
67×times-frac
57×*-un-lft-identity associate-*l*
55×add-cube-cbrt
50×add-exp-log
32×add-cbrt-cube
30×pow1 associate-*r*
28×prod-exp
18×log-prod
16×cbrt-unprod
15×distribute-rgt-in distribute-lft-in
13×sqrt-div associate-*l/
10×pow-prod-down log-pow
6×frac-times div-exp unswap-sqr
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp 1-exp *-commutative div-inv
1×hypot-udef un-div-inv
Counts
4 → 197
Calls
4 calls:
Slowest
213.0ms
(* (* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (log (hypot re im)))) (/ 1 (sqrt (log 10))))
48.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (log (hypot re im))))
15.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (log (hypot re im)))
0.0ms
(hypot re im)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
479.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (log (hypot re im)))
336.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (log (hypot re im))))
243.0ms
(* (* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (log (hypot re im)))) (/ 1 (sqrt (log 10))))
76.0ms
(hypot re im)

simplify781.0ms

Counts
209 → 209

prune2.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

regimes197.0ms

Accuracy

0% (0.4b remaining)

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

bsearch6.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s8000×body80valid