Details

Time bar (total: 39.1s)

sample43.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify31.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
113
010

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize41.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot re im)
0.6b
(/ (log (hypot re im)) (log 10.0))

rewrite29.0ms

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:
2.0ms
(hypot re im)
22.0ms
(/ (log (hypot re im)) (log 10.0))

series365.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(hypot re im)
277.0ms
(/ (log (hypot re im)) (log 10.0))

simplify6.0s

Counts
56 → 56
Iterations
IterNodes
done5010
53869
41692
3655
2301
1136
080

prune859.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.2b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite153.0ms

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:
2.0ms
(hypot re im)
95.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
26.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series783.0ms

Counts
3 → 9
Calls
3 calls:
103.0ms
(hypot re im)
290.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
390.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify5.7s

Counts
173 → 173
Iterations
IterNodes
done5000
33075
21368
1498
0191

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.2b
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))
0.3b
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))

rewrite225.0ms

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:
2.0ms
(hypot re im)
148.0ms
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))
49.0ms
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))

series842.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(hypot re im)
307.0ms
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))
447.0ms
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))

simplify7.3s

Counts
148 → 148
Iterations
IterNodes
done5001
32717
21306
1531
0203

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (* (log (hypot re im)) (log (hypot re im))) (sqrt (log 10.0)))
0.5b
(cbrt (* (/ (log (hypot re im)) (log 10.0)) (/ (* (log (hypot re im)) (log (hypot re im))) (sqrt (log 10.0)))))
0.6b
(* (log (hypot re im)) (log (hypot re im)))
0.6b
(/ (log (hypot re im)) (log 10.0))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1
26×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt
23×times-frac
18×log-pow
13×add-cbrt-cube add-exp-log
11×associate-/r*
8×sqrt-prod
6×log-prod swap-sqr
5×associate-/l*
4×expm1-log1p-u associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
3×distribute-rgt-in cbrt-undiv cbrt-div distribute-lft-in div-exp
2×clear-num frac-2neg prod-exp cbrt-unprod div-inv
1×cbrt-prod pow2 frac-times pow-plus pow1/3 pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up unswap-sqr
Counts
4 → 125
Calls
4 calls:
38.0ms
(/ (* (log (hypot re im)) (log (hypot re im))) (sqrt (log 10.0)))
51.0ms
(cbrt (* (/ (log (hypot re im)) (log 10.0)) (/ (* (log (hypot re im)) (log (hypot re im))) (sqrt (log 10.0)))))
28.0ms
(* (log (hypot re im)) (log (hypot re im)))
22.0ms
(/ (log (hypot re im)) (log 10.0))

series1.6s

Counts
4 → 12
Calls
4 calls:
420.0ms
(/ (* (log (hypot re im)) (log (hypot re im))) (sqrt (log 10.0)))
762.0ms
(cbrt (* (/ (log (hypot re im)) (log 10.0)) (/ (* (log (hypot re im)) (log (hypot re im))) (sqrt (log 10.0)))))
177.0ms
(* (log (hypot re im)) (log (hypot re im)))
246.0ms
(/ (log (hypot re im)) (log 10.0))

simplify8.6s

Counts
137 → 137
Iterations
IterNodes
done5000
34545
21208
1381
0176

prune1.5s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes477.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample1.1s

Algorithm
intervals
Results
764.0ms8000×body80valid