Details

Time bar (total: 21.6s)

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01012
1137
2157
done157

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
14×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×log-pow
6×add-exp-log
5×add-cbrt-cube
4×associate-/r* associate-/l*
3×expm1-log1p-u log-prod log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef frac-2neg div-exp rem-log-exp clear-num div-inv
Counts
3 → 62
Calls
3 calls:
3.0ms
(log (hypot re im))
1.0ms
(hypot re im)
16.0ms
(/ (log (hypot re im)) (log 10.0))

series374.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(log (hypot re im))
48.0ms
(hypot re im)
221.0ms
(/ (log (hypot re im)) (log 10.0))

simplify4.5s

Counts
71 → 71
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
087663
1138633
2249584
3444584
4850584
51495584
63196584
done5001584

prune253.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (hypot re im))
0.0b
(hypot re im)
0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt times-frac
59×*-un-lft-identity sqrt-prod
53×add-cube-cbrt
34×pow1
32×associate-*r*
29×add-exp-log
28×log-pow
25×associate-*l*
18×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×expm1-log1p-u cbrt-unprod log1p-expm1-u associate-/l* add-log-exp
3×log-prod div-inv
2×rec-exp 1-exp
1×frac-times hypot-udef frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 175
Calls
4 calls:
1.0ms
(log (hypot re im))
0.0ms
(hypot re im)
75.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
16.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series697.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(log (hypot re im))
55.0ms
(hypot re im)
229.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
328.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify3.3s

Counts
187 → 187
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01962939
14472612
212462200
332812200
done50002104

prune485.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log
46×add-sqr-sqrt times-frac
40×prod-exp
36×*-un-lft-identity
34×add-cube-cbrt
30×add-cbrt-cube
29×associate-*l*
26×associate-*r* sqrt-prod
20×div-exp
19×pow1
12×cbrt-unprod
10×rec-exp 1-exp
8×log-pow
6×cbrt-undiv
5×associate-*r/ unswap-sqr
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×log-prod un-div-inv
2×frac-times *-commutative div-inv
1×hypot-udef rem-log-exp associate-*l/
Counts
4 → 146
Calls
4 calls:
3.0ms
(log (hypot re im))
0.0ms
(hypot re im)
45.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
87.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))

series668.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(log (hypot re im))
48.0ms
(hypot re im)
277.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))
241.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))

simplify5.2s

Counts
158 → 158
Iterations

Useful iterations: 2 (310.0ms)

IterNodesCost
01972373
14201820
210261298
322951298
done50001298

prune367.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot re im)
0.0b
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
0.3b
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.9b
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
46×times-frac
42×*-un-lft-identity
40×add-cube-cbrt
26×sqrt-prod
25×pow-unpow associate-*l*
21×log-prod
16×add-exp-log
13×pow1
12×unpow-prod-down
9×add-cbrt-cube
8×log-pow
7×distribute-rgt-in distribute-lft-in
5×unswap-sqr
4×expm1-log1p-u associate-*r* prod-exp log1p-expm1-u add-log-exp sqr-pow
3×rem-log-exp
2×pow-to-exp hypot-udef div-exp pow-exp cbrt-unprod div-inv
1×cbrt-undiv rec-exp pow-pow 1-exp pow-prod-down associate-*l/ *-commutative sqrt-pow2
Counts
4 → 138
Calls
4 calls:
0.0ms
(hypot re im)
5.0ms
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
49.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
9.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series1.4s

Counts
4 → 12
Calls
4 calls:
51.0ms
(hypot re im)
407.0ms
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
449.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
466.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify2.4s

Counts
150 → 150
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02022533
14412234
210471655
325361588
done50001550

prune425.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes161.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01427
11827
done1827

end0.0ms

sample796.0ms

Algorithm
intervals
Results
504.0ms8000×body80valid