Details

Time bar (total: 7.8s)

sample37.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify20.0ms

Counts
1 → 1

prune3.0ms

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))

rewrite7.0ms

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:
6.0ms
(/ (atan2 im re) (log 10.0))

series126.0ms

Counts
1 → 3
Calls
1 calls:
126.0ms
(/ (atan2 im re) (log 10.0))

simplify1.6s

Counts
34 → 34

prune96.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))))

rewrite98.0ms

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)))
83.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series227.0ms

Counts
2 → 6
Calls
2 calls:
155.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
71.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify893.0ms

Counts
138 → 138

prune441.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
1.0b
(/ 1 (log 10.0))

rewrite138.0ms

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:
43.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
78.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
7.0ms
(/ 1 (log 10.0))

series296.0ms

Counts
3 → 7
Calls
3 calls:
174.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
122.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify793.0ms

Counts
131 → 131

prune483.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
0.8b
(/ (* (atan2 im re) (sqrt (/ 1 (log 10.0)))) (sqrt (log 10.0)))
1.0b
(/ 1 (log 10.0))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
33×times-frac
27×*-un-lft-identity sqrt-prod
26×add-cube-cbrt
19×associate-*r*
15×pow1
14×add-exp-log
12×add-cbrt-cube
11×associate-/r*
9×log-pow
4×div-exp associate-/l* unswap-sqr
3×cbrt-undiv associate-*l* div-inv add-log-exp
2×frac-2neg sqrt-div associate-*r/ prod-exp clear-num cbrt-unprod
1×rec-exp pow-flip 1-exp pow-prod-down *-commutative associate-/l/ inv-pow
Counts
3 → 103
Calls
3 calls:
23.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
34.0ms
(/ (* (atan2 im re) (sqrt (/ 1 (log 10.0)))) (sqrt (log 10.0)))
7.0ms
(/ 1 (log 10.0))

series286.0ms

Counts
3 → 7
Calls
3 calls:
193.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
92.0ms
(/ (* (atan2 im re) (sqrt (/ 1 (log 10.0)))) (sqrt (log 10.0)))
0.0ms
(/ 1 (log 10.0))

simplify530.0ms

Counts
110 → 110

prune347.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify22.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
384.0ms8000×body80valid