Details

Time bar (total: 9.0s)

sample39.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done6
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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 insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
9.0ms
(/ (atan2 im re) (log 10))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (atan2 im re) (log 10))

simplify1.1s

Counts
37 → 37
Iterations
IterNodes
done2079
52079
41620
3590
2237
192
055

prune127.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

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))))

rewrite50.0ms

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 insert-posit16 log1p-expm1-u add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 138
Calls
2 calls:
11.0ms
(/ (atan2 im re) (sqrt (log 10)))
35.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series177.0ms

Counts
2 → 6
Calls
2 calls:
113.0ms
(/ (atan2 im re) (sqrt (log 10)))
64.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify990.0ms

Counts
144 → 144
Iterations
IterNodes
done2004
32004
21271
1440
0163

prune409.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))))

rewrite76.0ms

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×expm1-log1p-u frac-times *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 123
Calls
2 calls:
22.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
52.0ms
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

series200.0ms

Counts
2 → 6
Calls
2 calls:
133.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
66.0ms
(* (/ 1 (sqrt (log 10))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))

simplify1.1s

Counts
129 → 129
Iterations
IterNodes
done2002
32002
21134
1437
0163

prune365.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite220.0ms

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×expm1-log1p-u cbrt-undiv rec-exp 1-exp *-commutative insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
3 → 172
Calls
3 calls:
42.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))
21.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
154.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (atan2 im re) (/ 1 (sqrt (log 10))))))

series947.0ms

Counts
3 → 9
Calls
3 calls:
696.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (atan2 im re) (/ 1 (sqrt (log 10)))))
152.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10))))
98.0ms
(* (sqrt (/ 1 (sqrt (log 10)))) (* (sqrt (/ 1 (sqrt (log 10)))) (* (atan2 im re) (/ 1 (sqrt (log 10))))))

simplify1.2s

Counts
181 → 181
Iterations
IterNodes
done2001
32001
21452
1557
0218

prune709.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes139.0ms

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

sample853.0ms

Algorithm
intervals
Results
692.0ms8000×body80valid