Details

Time bar (total: 4.2s)

sample38.0ms

Algorithm
intervals
Results
23.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize12.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (atan2 im re) (log 10.0))

rewrite11.0ms

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))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ (atan2 im re) (log 10.0))

simplify44.0ms

Counts
34 → 34

prune151.0ms

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)))
0.8b
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

rewrite116.0ms

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:
14.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
90.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series254.0ms

Counts
2 → 6
Calls
2 calls:
158.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
96.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify63.0ms

Counts
138 → 138

prune515.0ms

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) (/ 1 (sqrt (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite156.0ms

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×associate-*l* add-cbrt-cube
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 div-inv add-log-exp
1×associate-*l/
Counts
2 → 117
Calls
2 calls:
52.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
93.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series246.0ms

Counts
2 → 6
Calls
2 calls:
143.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
103.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify42.0ms

Counts
123 → 123

prune237.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (/ (log 10.0) (atan2 im re)))
0.9b
(/ (log 10.0) (atan2 im re))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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 frac-2neg 1-exp clear-num add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 119
Calls
2 calls:
18.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
8.0ms
(/ (log 10.0) (atan2 im re))

series124.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(/ 1 (/ (log 10.0) (atan2 im re)))
50.0ms
(/ (log 10.0) (atan2 im re))

simplify80.0ms

Counts
125 → 125

prune403.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

-9.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify162.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
876.0ms8000×body80valid