Details

Time bar (total: 25.7s)

sample26.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
010343
113238
215238
done15238

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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)
13.0ms
(/ (log (hypot re im)) (log 10.0))

series349.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(hypot re im)
259.0ms
(/ (log (hypot re im)) (log 10.0))

simplify1.7s

Counts
54 → 54
Iterations

Useful iterations: 3 (330.0ms)

IterNodesCost
07816582
113416038
232815958
3134815878
done500015878

prune380.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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)))

rewrite84.0ms

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)
67.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
10.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series563.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(hypot re im)
225.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
270.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify3.3s

Counts
170 → 170
Iterations

Useful iterations: done (3.3s)

IterNodesCost
018876862
150571584
2288767617
done500164657

prune943.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite99.0ms

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)
67.0ms
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))
22.0ms
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))

series543.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(hypot re im)
186.0ms
(* (* (/ 1 (sqrt (log 10.0))) (log (hypot re im))) (/ 1 (sqrt (log 10.0))))
296.0ms
(* (/ 1 (sqrt (log 10.0))) (log (hypot re im)))

simplify8.5s

Counts
145 → 145
Iterations

Useful iterations: 2 (1.7s)

IterNodesCost
020062839
158352525
2487547388
done500047388

prune760.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (hypot re im))
0.5b
(cbrt (hypot re im))
0.5b
(cbrt (hypot re im))
0.6b
(* (cbrt (hypot re im)) (cbrt (hypot re im)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt (hypot re im))
2.0ms
(cbrt (hypot re im))
2.0ms
(cbrt (hypot re im))
18.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))

series671.0ms

Counts
4 → 12
Calls
4 calls:
149.0ms
(cbrt (hypot re im))
197.0ms
(cbrt (hypot re im))
149.0ms
(cbrt (hypot re im))
176.0ms
(* (cbrt (hypot re im)) (cbrt (hypot re im)))

simplify5.8s

Counts
93 → 93
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
07825581
116822654
266422498
3394821818
done500021818

prune679.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes243.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011359
115359
done15359

end0.0ms

sample870.0ms

Algorithm
intervals
Results
672.0ms8000×body80valid