Details

Time bar (total: 17.9s)

sample25.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize10.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10))

rewrite4.0ms

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 insert-posit16 div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
4.0ms
(/ (atan2 im re) (log 10))

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(/ (atan2 im re) (log 10))

simplify1.2s

Counts
35 → 35
Iterations
IterNodes
done5000
31223
2263
190
053

prune169.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10)))
0.8b
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

rewrite44.0ms

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 insert-posit16 add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 134
Calls
2 calls:
5.0ms
(/ (atan2 im re) (sqrt (log 10)))
36.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series259.0ms

Counts
2 → 6
Calls
2 calls:
194.0ms
(/ (atan2 im re) (sqrt (log 10)))
64.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify2.6s

Counts
140 → 140
Iterations
IterNodes
done5000
22800
1448
0159

prune523.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (atan2 im re) (/ 1 (sqrt (log 10))))
0.8b
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

rewrite66.0ms

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 insert-posit16 div-inv add-log-exp
1×associate-*l/
Counts
2 → 119
Calls
2 calls:
27.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
34.0ms
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

series229.0ms

Counts
2 → 6
Calls
2 calls:
149.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
80.0ms
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

simplify5.4s

Counts
125 → 125
Iterations
IterNodes
done5000
23973
1477
0159

prune433.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10)))))
0.1b
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
0.8b
(* (/ 1 (sqrt (log 10))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
67×times-frac
62×add-sqr-sqrt
57×associate-*r*
50×*-un-lft-identity
49×add-exp-log
48×add-cube-cbrt
31×add-cbrt-cube
29×associate-*l*
28×pow1 prod-exp
16×cbrt-unprod
13×sqrt-div associate-*r/
10×pow-prod-down
9×log-pow
6×frac-times div-exp unswap-sqr
4×associate-*l/
3×cbrt-undiv rec-exp 1-exp *-commutative insert-posit16 div-inv add-log-exp
Counts
3 → 160
Calls
3 calls:
15.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10)))))
47.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
168.0ms
(* (/ 1 (sqrt (log 10))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))))

series513.0ms

Counts
3 → 9
Calls
3 calls:
266.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10)))))
155.0ms
(* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10)))))
91.0ms
(* (/ 1 (sqrt (log 10))) (* (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10))))) (sqrt (/ 1 (sqrt (log 10))))))

simplify4.4s

Counts
169 → 169
Iterations
IterNodes
done5001
24298
1590
0215

prune664.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes159.0ms

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

sample796.0ms

Algorithm
intervals
Results
621.0ms8000×body80valid