Details

Time bar (total: 16.8s)

sample39.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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×expm1-log1p-u cbrt-undiv clear-num frac-2neg div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
9.0ms
(/ (atan2 im re) (log 10.0))

series75.0ms

Counts
1 → 3
Calls
1 calls:
75.0ms
(/ (atan2 im re) (log 10.0))

simplify3.7s

Counts
36 → 36
Iterations
IterNodes
done5000
53577
41641
3591
2236
191
054

prune194.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

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 clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 136
Calls
2 calls:
11.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
61.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series267.0ms

Counts
2 → 6
Calls
2 calls:
159.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
108.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.5s

Counts
142 → 142
Iterations
IterNodes
done5001
32770
21251
1440
0162

prune656.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
0.8b
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

rewrite131.0ms

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×expm1-log1p-u *-commutative log1p-expm1-u div-inv add-log-exp
1×frac-times associate-*r/ un-div-inv
Counts
2 → 119
Calls
2 calls:
38.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
87.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

series285.0ms

Counts
2 → 6
Calls
2 calls:
196.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
89.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

simplify3.8s

Counts
125 → 125
Iterations
IterNodes
done5001
32571
21134
1446
0162

prune530.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
0.0b
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0)))))
0.8b
(* (* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))

rewrite349.0ms

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×expm1-log1p-u cbrt-undiv rec-exp 1-exp *-commutative log1p-expm1-u div-inv add-log-exp
Counts
3 → 162
Calls
3 calls:
35.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
69.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0)))))
233.0ms
(* (* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))

series576.0ms

Counts
3 → 9
Calls
3 calls:
118.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
360.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0)))))
98.0ms
(* (* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))

simplify2.0s

Counts
171 → 171
Iterations
IterNodes
done5000
21558
1581
0224

prune586.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done22
122
017

end0.0ms

sample680.0ms

Algorithm
intervals
Results
339.0ms8000×body80valid