Details

Time bar (total: 17.8s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize14.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (atan2 im re) (log 10.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×pow1
4×associate-/r* log-pow
3×add-cbrt-cube add-exp-log associate-/l*
1×cbrt-undiv clear-num frac-2neg div-exp div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
8.0ms
(/ (atan2 im re) (log 10.0))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (atan2 im re) (log 10.0))

simplify1.5s

Counts
34 → 34
Iterations
IterNodes
done5000
31221
2262
189
052

prune209.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

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))))

rewrite72.0ms

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×rec-exp 1-exp add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 132
Calls
2 calls:
5.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
61.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series308.0ms

Counts
2 → 6
Calls
2 calls:
197.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
110.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.9s

Counts
138 → 138
Iterations
IterNodes
done5000
22827
1448
0158

prune655.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
46×times-frac
43×add-sqr-sqrt
40×prod-exp
33×*-un-lft-identity
31×add-cube-cbrt
28×add-cbrt-cube associate-*r*
26×associate-*l* sqrt-prod
20×div-exp
15×pow1
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv log-pow
5×unswap-sqr
4×pow-prod-down associate-*l/
2×*-commutative div-inv add-log-exp
1×frac-times associate-*r/ un-div-inv
Counts
2 → 115
Calls
2 calls:
40.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
96.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

series298.0ms

Counts
2 → 6
Calls
2 calls:
194.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
104.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

simplify7.6s

Counts
121 → 121
Iterations
IterNodes
done5000
24725
1492
0158

prune433.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite365.0ms

Algorithm
rewrite-expression-head
Rules
88×sqrt-prod
67×times-frac
60×add-sqr-sqrt
59×associate-*r*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
28×pow1 prod-exp
27×associate-*l*
16×cbrt-unprod
13×associate-*l/
10×sqrt-div pow-prod-down
9×log-pow
6×frac-times div-exp
5×unswap-sqr
4×associate-*r/
3×cbrt-undiv rec-exp 1-exp *-commutative div-inv add-log-exp
Counts
3 → 156
Calls
3 calls:
21.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
73.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0)))))
264.0ms
(* (* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))

series588.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
352.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0)))))
96.0ms
(* (* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))

simplify1.2s

Counts
165 → 165
Iterations
IterNodes
done5000
1596
0218

prune534.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done20
120
014

end0.0ms

sample576.0ms

Algorithm
intervals
Results
400.0ms8000×body80valid