Details

Time bar (total: 12.1s)

sample20.0ms

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
12×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×log-pow
4×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef frac-2neg div-exp clear-num div-inv
Counts
2 → 48
Calls
2 calls:
0.0ms
(hypot re im)
3.0ms
(/ (log (hypot re im)) (log 10.0))

series198.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(hypot re im)
151.0ms
(/ (log (hypot re im)) (log 10.0))

simplify1.7s

Counts
54 → 54
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
078556
1132530
2303496
3750494
41944494
done5001494

prune134.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

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)))

rewrite45.0ms

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 frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 161
Calls
3 calls:
0.0ms
(hypot re im)
33.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
4.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series416.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(hypot re im)
149.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
218.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify850.0ms

Counts
170 → 170
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
01882832
14692573
216162114
done50002114

prune329.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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

rewrite51.0ms

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×associate-*l* add-cbrt-cube
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 log1p-expm1-u add-log-exp
2×frac-times *-commutative div-inv
1×hypot-udef associate-*l/
Counts
3 → 132
Calls
3 calls:
0.0ms
(hypot re im)
29.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
16.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

series423.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(hypot re im)
152.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
224.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

simplify4.3s

Counts
141 → 141
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01882266
14631791
215841212
338011208
done50001208

prune284.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:
1.0ms
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
0.0ms
(hypot re im)
19.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series1.1s

Counts
4 → 12
Calls
4 calls:
319.0ms
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
52.0ms
(hypot re im)
374.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
360.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify1.3s

Counts
150 → 150
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02022533
14652296
215401655
done50001596

prune364.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01322
11622
done1622

end0.0ms

sample481.0ms

Algorithm
intervals
Results
339.0ms8000×body80valid