Details

Time bar (total: 17.0s)

sample42.0ms

Algorithm
intervals
Results
28.0ms256×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

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:
11.0ms
(/ (atan2 im re) (log 10))

series98.0ms

Counts
1 → 3
Calls
1 calls:
98.0ms
(/ (atan2 im re) (log 10))

simplify3.3s

Counts
37 → 37
Iterations
IterNodes
done5000
53657
41620
3590
2237
192
055

prune153.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.4b
(log1p (expm1 (/ (atan2 im re) (log 10))))
0.7b
(expm1 (/ (atan2 im re) (log 10)))
0.9b
(/ (atan2 im re) (log 10))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
7×pow1
5×add-cbrt-cube add-exp-log
4×expm1-log1p-u associate-/r* log-pow log1p-expm1-u
3×insert-posit16 associate-/l* add-log-exp
2×log1p-expm1
1×cbrt-undiv log1p-udef expm1-log1p clear-num frac-2neg div-exp div-inv expm1-udef
Counts
3 → 59
Calls
3 calls:
1.0ms
(log1p (expm1 (/ (atan2 im re) (log 10))))
1.0ms
(expm1 (/ (atan2 im re) (log 10)))
12.0ms
(/ (atan2 im re) (log 10))

series357.0ms

Counts
3 → 9
Calls
3 calls:
138.0ms
(log1p (expm1 (/ (atan2 im re) (log 10))))
138.0ms
(expm1 (/ (atan2 im re) (log 10)))
80.0ms
(/ (atan2 im re) (log 10))

simplify3.3s

Counts
68 → 68
Iterations
IterNodes
done5001
54779
41709
3621
2285
1120
077

prune289.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (atan2 im re) (sqrt (log 10)))
0.4b
(log1p (expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))))
0.7b
(expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10)))))
0.8b
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
203×associate-/r*
178×add-sqr-sqrt
169×frac-times
163×sqrt-prod
139×*-un-lft-identity
132×add-cube-cbrt
88×associate-/l*
85×times-frac
44×pow1
38×log-pow
30×clear-num
29×frac-2neg
28×add-exp-log
25×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
13×associate-*l/ associate-*r/
9×div-exp
8×prod-exp
5×expm1-log1p-u cbrt-undiv log1p-expm1-u
4×cbrt-unprod insert-posit16 add-log-exp
3×div-inv
2×rec-exp 1-exp log1p-expm1 un-div-inv
1×log1p-udef expm1-log1p pow-prod-down *-commutative expm1-udef
Counts
4 → 357
Calls
4 calls:
14.0ms
(/ (atan2 im re) (sqrt (log 10)))
1.0ms
(log1p (expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))))
1.0ms
(expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10)))))
85.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

series529.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(/ (atan2 im re) (sqrt (log 10)))
135.0ms
(log1p (expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))))
143.0ms
(expm1 (* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10)))))
68.0ms
(* (/ 1 (sqrt (log 10))) (/ (atan2 im re) (sqrt (log 10))))

simplify2.2s

Counts
369 → 369
Iterations
IterNodes
done5025
22964
11211
0356

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 1 (sqrt (log 10))) (atan2 im re))
0.4b
(log1p (expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))))
0.7b
(expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10)))))
0.8b
(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

rewrite304.0ms

Algorithm
rewrite-expression-head
Rules
267×add-sqr-sqrt
208×associate-*l/
203×associate-/r*
178×sqrt-prod
169×frac-times
163×*-un-lft-identity
136×add-cube-cbrt
115×times-frac
88×associate-*l* associate-/l*
78×add-exp-log
65×unswap-sqr
49×pow1
40×prod-exp
38×log-pow
31×associate-*r*
30×clear-num add-cbrt-cube
29×frac-2neg
20×div-exp
13×associate-*r/
12×cbrt-unprod
10×rec-exp 1-exp
6×cbrt-undiv
5×expm1-log1p-u log1p-expm1-u
4×pow-prod-down insert-posit16 add-log-exp
3×un-div-inv *-commutative div-inv
2×log1p-expm1
1×log1p-udef expm1-log1p expm1-udef
Counts
4 → 419
Calls
4 calls:
48.0ms
(* (/ 1 (sqrt (log 10))) (atan2 im re))
1.0ms
(log1p (expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))))
1.0ms
(expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10)))))
235.0ms
(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

series495.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(* (/ 1 (sqrt (log 10))) (atan2 im re))
139.0ms
(log1p (expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))))
108.0ms
(expm1 (* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10)))))
100.0ms
(* (* (/ 1 (sqrt (log 10))) (atan2 im re)) (/ 1 (sqrt (log 10))))

simplify2.2s

Counts
431 → 431
Iterations
IterNodes
done5000
23099
11328
0383

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes245.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample1.2s

Algorithm
intervals
Results
1.0s8000×body80valid