Details

Time bar (total: 19.7s)

sample30.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
7.0ms
(/ (atan2 im re) (log 10.0))

series102.0ms

Counts
1 → 3
Calls
1 calls:
102.0ms
(/ (atan2 im re) (log 10.0))

simplify4.4s

Counts
34 → 34
Iterations
IterNodes
done5001
41715
3602
2240
189
052

prune157.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

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))))

rewrite90.0ms

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:
12.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
65.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series275.0ms

Counts
2 → 6
Calls
2 calls:
185.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
90.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.7s

Counts
138 → 138
Iterations
IterNodes
done5001
32976
21248
1435
0158

prune635.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

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-*l*
26×associate-*r* sqrt-prod
20×div-exp
15×pow1
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv log-pow
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×un-div-inv
2×frac-times *-commutative div-inv add-log-exp
1×associate-*l/
Counts
2 → 117
Calls
2 calls:
28.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
64.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series230.0ms

Counts
2 → 6
Calls
2 calls:
120.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
111.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify5.1s

Counts
123 → 123
Iterations
IterNodes
done5001
44900
32312
21008
1409
0158

prune432.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
88×sqrt-prod
67×times-frac
60×add-sqr-sqrt
59×associate-*l*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
28×pow1 prod-exp
27×associate-*r*
18×associate-*r/
16×cbrt-unprod
15×sqrt-div
11×frac-times
10×pow-prod-down
9×log-pow
7×un-div-inv
6×div-exp
5×unswap-sqr
4×associate-*l/
3×cbrt-undiv rec-exp 1-exp *-commutative div-inv add-log-exp
Counts
3 → 163
Calls
3 calls:
22.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
92.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
189.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (/ 1 (sqrt (log 10.0))))))

series639.0ms

Counts
3 → 9
Calls
3 calls:
120.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
433.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
86.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (/ 1 (sqrt (log 10.0))))))

simplify2.9s

Counts
172 → 172
Iterations
IterNodes
done5259
34155
21472
1549
0210

prune702.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes307.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
121
015

end0.0ms

sample570.0ms

Algorithm
intervals
Results
385.0ms8000×body80valid