Details

Time bar (total: 16.7s)

sample18.0ms

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

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:
5.0ms
(/ (atan2 im re) (log 10.0))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(/ (atan2 im re) (log 10.0))

simplify1.3s

Counts
36 → 36
Iterations
IterNodes
done5001
31224
2265
191
054

prune216.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

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))))

rewrite95.0ms

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)))
74.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series226.0ms

Counts
2 → 6
Calls
2 calls:
138.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
88.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.5s

Counts
142 → 142
Iterations
IterNodes
done5001
22828
1453
0162

prune711.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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))))

rewrite101.0ms

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:
36.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
54.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

series293.0ms

Counts
2 → 6
Calls
2 calls:
190.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
103.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

simplify7.0s

Counts
125 → 125
Iterations
IterNodes
done5001
24660
1493
0162

prune430.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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)))))

rewrite440.0ms

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:
32.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
92.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0)))))
305.0ms
(* (* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))

series613.0ms

Counts
3 → 9
Calls
3 calls:
137.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
398.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0)))))
78.0ms
(* (* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (/ 1 (sqrt (log 10.0)))))

simplify997.0ms

Counts
171 → 171
Iterations
IterNodes
done5000
1596
0224

prune707.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes257.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done20
120
014

end0.0ms

sample651.0ms

Algorithm
intervals
Results
371.0ms8000×body80valid