Details

Time bar (total: 25.7s)

sample39.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01012
1137
2157
done157

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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:
1.0ms
(hypot re im)
15.0ms
(/ (log (hypot re im)) (log 10.0))

series335.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(hypot re im)
251.0ms
(/ (log (hypot re im)) (log 10.0))

simplify1.1s

Counts
54 → 54
Iterations

Useful iterations: 3 (219.0ms)

IterNodesCost
078556
1134530
2328498
31352494
done5000494

prune272.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.4b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite70.0ms

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)
45.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
15.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series581.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(hypot re im)
204.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
308.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify3.1s

Counts
170 → 170
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01882832
15042617
228942298
done50012110

prune745.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.3b
(* (/ 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))))

rewrite135.0ms

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)
77.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
49.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

series621.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(hypot re im)
216.0ms
(* (/ 1 (sqrt (log 10.0))) (* (log (hypot re im)) (/ 1 (sqrt (log 10.0)))))
339.0ms
(* (log (hypot re im)) (/ 1 (sqrt (log 10.0))))

simplify7.5s

Counts
141 → 141
Iterations

Useful iterations: 2 (759.0ms)

IterNodesCost
01882266
15321997
240881469
done50011469

prune636.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite534.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
67×times-frac
65×add-sqr-sqrt
54×associate-*l*
53×*-un-lft-identity
51×add-cube-cbrt
50×add-exp-log
33×associate-*r*
32×add-cbrt-cube
30×pow1
28×prod-exp
16×cbrt-unprod
13×sqrt-div
11×associate-*l/
10×pow-prod-down log-pow
6×frac-times log-prod associate-*r/ div-exp unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp *-commutative div-inv
1×hypot-udef
Counts
4 → 180
Calls
4 calls:
1.0ms
(hypot re im)
64.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (log (hypot re im)))
106.0ms
(* (* (sqrt (/ 1 (sqrt (log 10.0)))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10.0)))))
345.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (sqrt (/ 1 (sqrt (log 10.0)))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10.0))))))

series991.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(hypot re im)
427.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (log (hypot re im)))
298.0ms
(* (* (sqrt (/ 1 (sqrt (log 10.0)))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10.0)))))
195.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (sqrt (/ 1 (sqrt (log 10.0)))) (log (hypot re im))) (sqrt (/ 1 (sqrt (log 10.0))))))

simplify6.6s

Counts
192 → 192
Iterations

Useful iterations: done (6.6s)

IterNodesCost
02684031
16773683
245973028
done50012939

prune1.0s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes252.0ms

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
01116
11516
done1516

end0.0ms

sample1.0s

Algorithm
intervals
Results
731.0ms8000×body80valid