Details

Time bar (total: 12.2s)

sample20.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify12.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×associate-/r* log-pow
3×add-exp-log add-cbrt-cube associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 31
Calls
1 calls:
10.0ms
(/ (atan2 im re) (log 10.0))

series118.0ms

Counts
1 → 3
Calls
1 calls:
118.0ms
(/ (atan2 im re) (log 10.0))

simplify1.6s

Counts
34 → 34

prune102.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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))))

rewrite62.0ms

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 frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 132
Calls
2 calls:
7.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
48.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series508.0ms

Counts
2 → 6
Calls
2 calls:
445.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
63.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify868.0ms

Counts
138 → 138

prune333.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.7b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
1.0b
(/ 1 (log 10.0))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
47×times-frac
45×add-sqr-sqrt
37×*-un-lft-identity
36×add-cube-cbrt
31×add-exp-log sqrt-prod
28×associate-*l*
21×pow1
20×associate-*r*
19×add-cbrt-cube
13×prod-exp
10×log-pow
7×cbrt-unprod
6×div-exp
4×associate-*r/ pow-prod-down associate-/r* unswap-sqr
3×cbrt-undiv rec-exp sqrt-div 1-exp div-inv associate-/l* add-log-exp
2×*-commutative
1×frac-times pow-flip frac-2neg associate-*l/ clear-num inv-pow
Counts
3 → 124
Calls
3 calls:
25.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
74.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
12.0ms
(/ 1 (log 10.0))

series232.0ms

Counts
3 → 7
Calls
3 calls:
153.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
79.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify749.0ms

Counts
131 → 131

prune413.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* (atan2 im re) (sqrt (/ (sqrt 1) 1))) (sqrt (/ (sqrt 1) (log 10.0))))
0.7b
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ (sqrt 1) 1))) (sqrt (/ (sqrt 1) (log 10.0)))))
1.0b
(/ (sqrt 1) (log 10.0))

rewrite330.0ms

Algorithm
rewrite-expression-head
Rules
69×times-frac
67×sqrt-prod
50×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
49×add-exp-log
33×pow1
32×associate-*r*
31×add-cbrt-cube
27×prod-exp
26×associate-*l*
16×log-pow
15×cbrt-unprod
12×sqrt-div associate-*r/
9×pow-prod-down
7×div-exp
6×frac-times associate-/l*
4×cbrt-undiv associate-*l/ associate-/r*
3×rec-exp 1-exp div-inv add-log-exp
2×*-commutative
1×frac-2neg clear-num
Counts
3 → 157
Calls
3 calls:
72.0ms
(* (* (atan2 im re) (sqrt (/ (sqrt 1) 1))) (sqrt (/ (sqrt 1) (log 10.0))))
233.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ (sqrt 1) 1))) (sqrt (/ (sqrt 1) (log 10.0)))))
10.0ms
(/ (sqrt 1) (log 10.0))

series204.0ms

Counts
3 → 7
Calls
3 calls:
120.0ms
(* (* (atan2 im re) (sqrt (/ (sqrt 1) 1))) (sqrt (/ (sqrt 1) (log 10.0))))
84.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (sqrt (/ (sqrt 1) 1))) (sqrt (/ (sqrt 1) (log 10.0)))))
0.0ms
(/ (sqrt 1) (log 10.0))

simplify1.1s

Counts
164 → 164

prune516.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes149.0ms

Accuracy

-5.4% (0.8b remaining)

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

bsearch0.0ms

simplify3.8s

end0.0ms

sample786.0ms

Algorithm
intervals
Results
472.0ms8000×body80valid