Details

Time bar (total: 21.0s)

sample31.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
314
214
113
010

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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 log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef clear-num frac-2neg div-exp div-inv
Counts
2 → 48
Calls
2 calls:
0.0ms
(hypot re im)
6.0ms
(/ (log (hypot re im)) (log 10))

series282.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(hypot re im)
197.0ms
(/ (log (hypot re im)) (log 10))

simplify1.0s

Counts
54 → 54
Iterations
IterNodes
42051
3723
2298
1133
078

prune561.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
123×pow1
94×log-pow
72×times-frac
48×pow1/3
45×pow-prod-up
31×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
30×pow-plus
25×pow-prod-down
18×associate-/l*
15×pow-sqr
10×pow2
9×cbrt-prod
6×add-cbrt-cube add-exp-log
5×pow3
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 147
Calls
4 calls:
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))
1.0ms
(cbrt (hypot re im))
68.0ms
(/ (log (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (log 10))

series664.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt (hypot re im))
129.0ms
(cbrt (hypot re im))
125.0ms
(cbrt (hypot re im))
233.0ms
(/ (log (* (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)))) (log 10))

simplify2.4s

Counts
159 → 159
Iterations
IterNodes
43166
31065
2449
1242
0142

prune1.8s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite39.0ms

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 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 → 161
Calls
3 calls:
0.0ms
(hypot re im)
30.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
6.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series617.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(hypot re im)
232.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
315.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

simplify3.7s

Counts
170 → 170
Iterations
IterNodes
33420
21298
1484
0188

prune1.6s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

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 log1p-expm1-u add-log-exp
2×*-commutative div-inv
1×frac-times hypot-udef associate-*r/ un-div-inv
Counts
3 → 136
Calls
3 calls:
0.0ms
(hypot re im)
17.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
40.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

series539.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(hypot re im)
285.0ms
(* (/ 1 (sqrt (log 10))) (log (hypot re im)))
180.0ms
(* (* (/ 1 (sqrt (log 10))) (log (hypot re im))) (/ 1 (sqrt (log 10))))

simplify3.7s

Counts
145 → 145
Iterations
IterNodes
32675
21267
1533
0200

prune2.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0b

regimes235.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
216
116
013

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s8000×body80valid