Details

Time bar (total: 3.2s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163
done63

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:
5.0ms
(/ (atan2 im re) (log 10.0))

series59.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ (atan2 im re) (log 10.0))

simplify89.0ms

Counts
34 → 34
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
084202
1232188
2595188
31531188
44373188
55001188
done5001188

prune72.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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))))

rewrite55.0ms

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:
6.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
42.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series161.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
58.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify51.0ms

Counts
138 → 138
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04061427
118851234
250011126
done50011126

prune238.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

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:
21.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
53.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series164.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
60.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify43.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04151074
11996823
25001650
done5001650

prune193.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite644.0ms

Algorithm
rewrite-expression-head
Rules
77×add-exp-log
49×prod-exp
42×times-frac
40×cbrt-div
38×associate-*r/
37×pow1
34×add-sqr-sqrt
33×add-cube-cbrt *-un-lft-identity
32×add-cbrt-cube
30×associate-*r*
29×associate-*l* cbrt-unprod
25×cbrt-prod
24×sqrt-prod
23×frac-times
19×pow-prod-down
17×associate-*l/
8×div-exp
6×log-pow
4×cbrt-undiv rec-exp 1-exp
3×*-commutative add-log-exp
2×div-inv
1×unswap-sqr
Counts
3 → 152
Calls
3 calls:
40.0ms
(* (atan2 im re) (* (cbrt (/ 1 (sqrt (log 10.0)))) (cbrt (/ 1 (sqrt (log 10.0))))))
151.0ms
(* (* (atan2 im re) (* (cbrt (/ 1 (sqrt (log 10.0)))) (cbrt (/ 1 (sqrt (log 10.0)))))) (cbrt (/ 1 (sqrt (log 10.0)))))
445.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (* (cbrt (/ 1 (sqrt (log 10.0)))) (cbrt (/ 1 (sqrt (log 10.0)))))) (cbrt (/ 1 (sqrt (log 10.0))))))

series379.0ms

Counts
3 → 9
Calls
3 calls:
193.0ms
(* (atan2 im re) (* (cbrt (/ 1 (sqrt (log 10.0)))) (cbrt (/ 1 (sqrt (log 10.0))))))
115.0ms
(* (* (atan2 im re) (* (cbrt (/ 1 (sqrt (log 10.0)))) (cbrt (/ 1 (sqrt (log 10.0)))))) (cbrt (/ 1 (sqrt (log 10.0)))))
71.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (atan2 im re) (* (cbrt (/ 1 (sqrt (log 10.0)))) (cbrt (/ 1 (sqrt (log 10.0)))))) (cbrt (/ 1 (sqrt (log 10.0))))))

simplify79.0ms

Counts
161 → 161
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06363037
131102158
250011740
done50011740

prune286.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01818
11818
done1818

end0.0ms

sample404.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid