Details

Time bar (total: 5.2s)

sample60.0ms

Algorithm
intervals
Results
41.0ms256×body80valid

simplify2.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
11.0ms
(/ (atan2 im re) (log 10.0))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (atan2 im re) (log 10.0))

simplify51.0ms

Counts
34 → 34

prune122.0ms

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))))

rewrite80.0ms

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)))
66.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series223.0ms

Counts
2 → 6
Calls
2 calls:
139.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
84.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify63.0ms

Counts
138 → 138

prune936.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

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)))))

rewrite128.0ms

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:
35.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
80.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series257.0ms

Counts
2 → 6
Calls
2 calls:
149.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
108.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify52.0ms

Counts
123 → 123

prune273.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
129×sqrt-prod
117×add-sqr-sqrt
108×times-frac
69×*-un-lft-identity
63×add-cube-cbrt
53×associate-*l*
29×associate-*r*
23×pow1
19×add-exp-log add-cbrt-cube
18×unswap-sqr
13×log-pow
10×sqrt-div
7×prod-exp associate-/r* cbrt-unprod
6×frac-times associate-*r/
4×pow-prod-down associate-*l/ div-inv
3×cbrt-undiv div-exp associate-/l* add-log-exp
2×*-commutative
1×frac-2neg clear-num
Counts
3 → 182
Calls
3 calls:
81.0ms
(* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0)))))
7.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
95.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0))))))

series681.0ms

Counts
3 → 9
Calls
3 calls:
432.0ms
(* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0)))))
142.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
107.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (/ (atan2 im re) (sqrt (log 10.0))) (sqrt (/ 1 (sqrt (log 10.0))))))

simplify53.0ms

Counts
191 → 191

prune674.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes148.0ms

Accuracy

-695.1% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify100.0ms

end0.0ms

sample909.0ms

Algorithm
intervals
Results
484.0ms8000×body80valid