Details

Time bar (total: 13.4s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×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: 0.8b

localize6.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
2.0ms
(/ (atan2 im re) (log 10.0))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (atan2 im re) (log 10.0))

simplify3.1s

Counts
36 → 36
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
054385
189368
2232344
3618344
41341344
52526344
done5001344

prune84.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10.0)))
0.7b
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
85×times-frac
52×*-un-lft-identity
51×sqrt-prod
46×add-cube-cbrt
26×add-exp-log
25×associate-*r* associate-*l*
16×add-cbrt-cube
15×unswap-sqr
14×pow1
10×log-pow
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod
3×div-inv associate-/l*
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 136
Calls
2 calls:
3.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
30.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series170.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
62.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify877.0ms

Counts
142 → 142
Iterations

Useful iterations: 2 (151.0ms)

IterNodesCost
01612378
14172157
215041726
done50001726

prune267.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.7b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
1.0b
(/ 1 (log 10.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
47×times-frac
45×add-sqr-sqrt
37×*-un-lft-identity
36×add-cube-cbrt
31×add-exp-log sqrt-prod
28×associate-*l*
21×pow1
20×associate-*r*
19×add-cbrt-cube
13×prod-exp
10×log-pow
7×cbrt-unprod
6×div-exp
4×associate-*r/ pow-prod-down associate-/r* unswap-sqr
3×cbrt-undiv expm1-log1p-u rec-exp sqrt-div 1-exp log1p-expm1-u div-inv associate-/l* add-log-exp
2×*-commutative
1×frac-times pow-flip frac-2neg associate-*l/ clear-num inv-pow
Counts
3 → 130
Calls
3 calls:
12.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
31.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
3.0ms
(/ 1 (log 10.0))

series175.0ms

Counts
3 → 7
Calls
3 calls:
111.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
63.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify3.7s

Counts
137 → 137
Iterations

Useful iterations: 2 (125.0ms)

IterNodesCost
01681838
13791580
213311355
338161355
done50001355

prune306.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.8b
(/ (* (atan2 im re) (sqrt (/ 1 (log 10.0)))) (sqrt (log 10.0)))
1.0b
(/ 1 (log 10.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
33×times-frac
27×*-un-lft-identity sqrt-prod
26×add-cube-cbrt
19×associate-*r*
15×pow1
14×add-exp-log
12×add-cbrt-cube
11×associate-/r*
9×log-pow
4×div-exp associate-/l* unswap-sqr
3×cbrt-undiv expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg sqrt-div associate-*r/ prod-exp clear-num cbrt-unprod
1×rec-exp pow-flip 1-exp pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 109
Calls
3 calls:
13.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
8.0ms
(/ (* (atan2 im re) (sqrt (/ 1 (log 10.0)))) (sqrt (log 10.0)))
3.0ms
(/ 1 (log 10.0))

series175.0ms

Counts
3 → 7
Calls
3 calls:
114.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
62.0ms
(/ (* (atan2 im re) (sqrt (/ 1 (log 10.0)))) (sqrt (log 10.0)))
0.0ms
(/ 1 (log 10.0))

simplify3.7s

Counts
116 → 116
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
01461396
12761242
210661092
346321092
done50001092

prune230.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11615
done1615

end0.0ms

sample377.0ms

Algorithm
intervals
Results
237.0ms8000×body80valid