Details

Time bar (total: 9.2s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
done66

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize6.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10.0))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×associate-/r* log-pow
3×add-exp-log add-cbrt-cube associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
2.0ms
(/ (atan2 im re) (log 10.0))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(/ (atan2 im re) (log 10.0))

simplify1.8s

Counts
34 → 34
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
052371
184354
2187330
3523330
41127330
52231330
done5001330

prune80.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (log 10.0) (atan2 im re)))
0.9b
(/ (log 10.0) (atan2 im re))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
19×pow1 associate-/r*
16×log-pow
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 119
Calls
2 calls:
6.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
3.0ms
(/ (log 10.0) (atan2 im re))

series96.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
40.0ms
(/ (log 10.0) (atan2 im re))

simplify2.6s

Counts
125 → 125
Iterations

Useful iterations: 3 (326.0ms)

IterNodesCost
01491832
13101547
26911370
315791346
434361346
done50011346

prune164.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (log 10.0) (atan2 im re))
3.7b
(cbrt (/ (log 10.0) (atan2 im re)))
3.7b
(cbrt (/ (log 10.0) (atan2 im re)))
3.7b
(cbrt (/ (log 10.0) (atan2 im re)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-prod times-frac
37×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×pow1
13×log-pow
6×add-exp-log add-cbrt-cube
4×div-inv associate-/l* add-log-exp
3×cbrt-div pow1/3 associate-/r*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 106
Calls
4 calls:
3.0ms
(/ (log 10.0) (atan2 im re))
2.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
2.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
2.0ms
(cbrt (/ (log 10.0) (atan2 im re)))

series364.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ (log 10.0) (atan2 im re))
107.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
106.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
109.0ms
(cbrt (/ (log 10.0) (atan2 im re)))

simplify1.0s

Counts
118 → 118
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0801522
11181469
22471375
36471366
420691366
done50011366

prune323.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.6b
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
3.7b
(cbrt (/ (log 10.0) (atan2 im re)))
3.7b
(cbrt (/ (log 10.0) (atan2 im re)))
4.0b
(cbrt (/ (cbrt (log 10.0)) (atan2 im re)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
93×cbrt-prod
50×add-sqr-sqrt
45×times-frac
44×*-un-lft-identity
42×add-cube-cbrt
26×pow1
15×log-pow
9×pow1/3 swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×cbrt-div div-inv
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 129
Calls
4 calls:
7.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
2.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
2.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
3.0ms
(cbrt (/ (cbrt (log 10.0)) (atan2 im re)))

series404.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
109.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
111.0ms
(cbrt (/ (log 10.0) (atan2 im re)))
184.0ms
(cbrt (/ (cbrt (log 10.0)) (atan2 im re)))

simplify1.2s

Counts
139 → 139
Iterations

Useful iterations: 3 (334.0ms)

IterNodesCost
01571876
12321748
25971661
320011637
done50011637

prune440.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes182.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02142
12642
done2642

end0.0ms

sample365.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid