Details

Time bar (total: 14.5s)

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01012
1137
2157
done157

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
13×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×log-pow
5×add-exp-log
4×associate-/r* add-cbrt-cube associate-/l*
3×log-prod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp rem-log-exp clear-num div-inv
Counts
2 → 52
Calls
2 calls:
1.0ms
(log (hypot re im))
3.0ms
(/ (log (hypot re im)) (log 10.0))

series212.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(log (hypot re im))
142.0ms
(/ (log (hypot re im)) (log 10.0))

simplify2.6s

Counts
58 → 58
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
078603
1124575
2232532
3495532
41010532
51740532
63391532
done5000532

prune147.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (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)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
98×add-sqr-sqrt
59×sqrt-prod
58×*-un-lft-identity
52×add-cube-cbrt
33×pow1
32×associate-*r*
28×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 log-prod log1p-expm1-u div-inv add-log-exp
2×rec-exp 1-exp
1×frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 165
Calls
3 calls:
1.0ms
(log (hypot re im))
34.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
4.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series446.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(log (hypot re im))
153.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
227.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify3.3s

Counts
174 → 174
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
01872879
14562554
212212148
342732148
done50002148

prune339.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log
46×times-frac
45×add-sqr-sqrt
40×prod-exp
35×*-un-lft-identity
33×add-cube-cbrt
29×associate-*l* add-cbrt-cube
26×associate-*r* sqrt-prod
20×div-exp
18×pow1
12×cbrt-unprod
10×rec-exp 1-exp
8×log-pow
6×cbrt-undiv
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×expm1-log1p-u log-prod un-div-inv log1p-expm1-u add-log-exp
2×frac-times *-commutative div-inv
1×rem-log-exp associate-*l/
Counts
3 → 136
Calls
3 calls:
1.0ms
(log (hypot re im))
32.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
15.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

series435.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(log (hypot re im))
147.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
217.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

simplify2.7s

Counts
145 → 145
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
01882313
14431762
29721246
324771246
done50001246

prune289.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
0.2b
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.8b
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
46×times-frac
41×*-un-lft-identity
39×add-cube-cbrt
26×sqrt-prod
25×pow-unpow associate-*l*
21×log-prod
15×add-exp-log
12×pow1 unpow-prod-down
8×log-pow add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
5×unswap-sqr
4×associate-*r* prod-exp sqr-pow
3×expm1-log1p-u rem-log-exp log1p-expm1-u add-log-exp
2×pow-to-exp div-exp pow-exp cbrt-unprod div-inv
1×cbrt-undiv rec-exp hypot-udef pow-pow 1-exp pow-prod-down associate-*l/ *-commutative sqrt-pow2
Counts
3 → 128
Calls
3 calls:
2.0ms
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
17.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
6.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series1.1s

Counts
3 → 9
Calls
3 calls:
331.0ms
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
381.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
364.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify1.8s

Counts
137 → 137
Iterations

Useful iterations: 3 (940.0ms)

IterNodesCost
01932473
14412176
210531603
327611536
done50001536

prune313.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11416
done1416

end0.0ms

sample484.0ms

Algorithm
intervals
Results
347.0ms8000×body80valid