Details

Time bar (total: 15.4s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×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))

rewrite6.0ms

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:
4.0ms
(/ (atan2 im re) (log 10.0))

series80.0ms

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

simplify4.4s

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

prune209.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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))))

rewrite71.0ms

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)))
60.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series265.0ms

Counts
2 → 6
Calls
2 calls:
173.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
91.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify2.6s

Counts
138 → 138
Iterations
IterNodes
done5001
32976
21248
1435
0158

prune530.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

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))))

rewrite96.0ms

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:
21.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
71.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

series245.0ms

Counts
2 → 6
Calls
2 calls:
163.0ms
(* (/ 1 (sqrt (log 10.0))) (atan2 im re))
82.0ms
(* (* (/ 1 (sqrt (log 10.0))) (atan2 im re)) (/ 1 (sqrt (log 10.0))))

simplify3.3s

Counts
121 → 121
Iterations
IterNodes
done5005
32519
21095
1444
0158

prune339.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×pow1 associate-/r*
16×log-pow
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
2×rec-exp clear-num frac-2neg 1-exp add-log-exp
1×associate-/r/ pow-flip inv-pow
Counts
2 → 119
Calls
2 calls:
15.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
8.0ms
(/ (log 10.0) (atan2 im re))

series126.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
69.0ms
(/ (log 10.0) (atan2 im re))

simplify1.9s

Counts
125 → 125
Iterations
IterNodes
done5020
32076
2798
1352
0149

prune296.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes280.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done14
114
010

end0.0ms

sample633.0ms

Algorithm
intervals
Results
422.0ms8000×body80valid