Details

Time bar (total: 20.8s)

sample28.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
113
010

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize23.0ms

Local error

Found 2 expressions with local error:

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

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

series253.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(hypot re im)
200.0ms
(/ (log (hypot re im)) (log 10))

simplify4.6s

Counts
56 → 56
Iterations
IterNodes
done5004
54878
41756
3682
2303
1136
080

prune257.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.2b
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10)))

rewrite99.0ms

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:
0.0ms
(hypot re im)
69.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
18.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

series590.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(hypot re im)
212.0ms
(* (/ 1 (sqrt (log 10))) (/ (log (hypot re im)) (sqrt (log 10))))
296.0ms
(/ (log (hypot re im)) (sqrt (log 10)))

simplify2.3s

Counts
173 → 173
Iterations
IterNodes
done5012
33007
21292
1494
0191

prune660.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
46×times-frac
44×add-sqr-sqrt
40×prod-exp
34×*-un-lft-identity
32×add-cube-cbrt
29×add-cbrt-cube associate-*l*
26×associate-*r* sqrt-prod
20×div-exp
17×pow1
12×cbrt-unprod
10×rec-exp 1-exp
7×log-pow
6×cbrt-undiv
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×expm1-log1p-u un-div-inv insert-posit16 log1p-expm1-u add-log-exp
2×frac-times *-commutative div-inv
1×hypot-udef associate-*l/
Counts
3 → 135
Calls
3 calls:
0.0ms
(hypot re im)
96.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
55.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

series615.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(hypot re im)
235.0ms
(* (/ 1 (sqrt (log 10))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
307.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))

simplify3.7s

Counts
144 → 144
Iterations
IterNodes
done5000
32834
21150
1493
0191

prune677.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
878×add-exp-log
628×prod-exp
216×add-cbrt-cube
204×pow1
174×div-exp
136×cbrt-unprod
87×rec-exp 1-exp pow-prod-down
79×associate-*r/
61×un-div-inv
60×frac-times
38×pow-prod-up
35×cbrt-undiv
31×add-sqr-sqrt
30×associate-*l/
27×associate-*r*
26×cbrt-div
25×times-frac
21×*-un-lft-identity
19×pow-plus add-cube-cbrt
16×pow-sqr
14×sqrt-prod
6×associate-*l*
5×unswap-sqr
4×pow2 expm1-log1p-u log-pow insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×pow3
1×cbrt-prod pow1/3 swap-sqr rem-cbrt-cube div-inv
Counts
4 → 407
Calls
4 calls:
45.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
379.0ms
(* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
96.0ms
(* (* (log (hypot re im)) (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
435.0ms
(cbrt (* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))

series1.8s

Counts
4 → 12
Calls
4 calls:
315.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10))))
472.0ms
(* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
250.0ms
(* (* (log (hypot re im)) (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10)))))
744.0ms
(cbrt (* (* (* (log (hypot re im)) (/ 1 (sqrt (log 10)))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))) (* (log (hypot re im)) (/ 1 (sqrt (log 10))))))

simplify2.2s

Counts
419 → 419
Iterations
IterNodes
done5000
22426
1906
0414

prune771.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes152.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
011

end0.0ms

sample818.0ms

Algorithm
intervals
Results
674.0ms8000×body80valid