Details

Time bar (total: 3.8s)

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify2.0ms

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))

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))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ (atan2 im re) (log 10.0))

simplify84.0ms

Counts
34 → 34

prune84.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))))

rewrite63.0ms

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)))
49.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series185.0ms

Counts
2 → 6
Calls
2 calls:
122.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
62.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify46.0ms

Counts
138 → 138

prune540.0ms

Pruning

9 alts after pruning (9 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))

rewrite90.0ms

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:
21.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
57.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
6.0ms
(/ 1 (log 10.0))

series189.0ms

Counts
3 → 7
Calls
3 calls:
119.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
70.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify41.0ms

Counts
131 → 131

prune283.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
68×times-frac
62×add-sqr-sqrt
59×associate-*l*
54×*-un-lft-identity
53×add-cube-cbrt
34×pow1
24×add-exp-log
22×add-cbrt-cube
21×associate-*r*
17×sqrt-div
13×associate-*r/ log-pow
10×pow-prod-down prod-exp cbrt-unprod
6×frac-times
4×associate-*l/ associate-/r* div-inv add-log-exp unswap-sqr
3×*-commutative associate-/l*
2×div-exp
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp clear-num inv-pow
Counts
4 → 172
Calls
4 calls:
22.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
57.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
164.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0))))))
6.0ms
(/ 1 (log 10.0))

series488.0ms

Counts
4 → 10
Calls
4 calls:
115.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
300.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
73.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (* (atan2 im re) (sqrt (/ 1 (log 10.0))))))
0.0ms
(/ 1 (log 10.0))

simplify57.0ms

Counts
182 → 182

prune451.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes189.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample570.0ms

Algorithm
intervals
Results
304.0ms8000×body80valid