Details

Time bar (total: 17.7s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
done66

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
7.0ms
(/ (atan2 im re) (log 10.0))

series86.0ms

Counts
1 → 3
Calls
1 calls:
86.0ms
(/ (atan2 im re) (log 10.0))

simplify1.3s

Counts
34 → 34
Iterations

Useful iterations: 3 (212.0ms)

IterNodesCost
052371
189354
2265332
31332330
done5000330

prune103.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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))))

rewrite72.0ms

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)))
58.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series309.0ms

Counts
2 → 6
Calls
2 calls:
198.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
111.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify3.3s

Counts
138 → 138
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01572334
14462157
228001730
done50011696

prune384.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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))

rewrite127.0ms

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:
28.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
83.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
12.0ms
(/ 1 (log 10.0))

series248.0ms

Counts
3 → 7
Calls
3 calls:
161.0ms
(* (atan2 im re) (sqrt (/ 1 (log 10.0))))
86.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (sqrt (/ 1 (log 10.0)))))
0.0ms
(/ 1 (log 10.0))

simplify3.0s

Counts
131 → 131
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01621776
13931475
225711315
done50001297

prune366.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re)) (sqrt (/ (cbrt 1) (sqrt (log 10.0)))))
0.0b
(* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re))
0.8b
(* (/ 1 (sqrt (log 10.0))) (* (* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re)) (sqrt (/ (cbrt 1) (sqrt (log 10.0))))))

rewrite501.0ms

Algorithm
rewrite-expression-head
Rules
126×sqrt-prod
88×times-frac
75×add-sqr-sqrt
63×*-un-lft-identity
61×add-cube-cbrt
54×associate-*l*
53×associate-*r*
49×add-exp-log
31×pow1 add-cbrt-cube
28×prod-exp
21×cbrt-prod
16×cbrt-unprod
13×sqrt-div
12×log-pow
11×associate-*l/
10×pow-prod-down
6×frac-times associate-*r/ div-exp unswap-sqr
3×cbrt-undiv rec-exp 1-exp *-commutative div-inv add-log-exp
Counts
3 → 178
Calls
3 calls:
154.0ms
(* (* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re)) (sqrt (/ (cbrt 1) (sqrt (log 10.0)))))
31.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re))
297.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re)) (sqrt (/ (cbrt 1) (sqrt (log 10.0))))))

series549.0ms

Counts
3 → 9
Calls
3 calls:
173.0ms
(* (* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re)) (sqrt (/ (cbrt 1) (sqrt (log 10.0)))))
275.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re))
101.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (sqrt (/ 1 (sqrt (log 10.0)))) (atan2 im re)) (sqrt (/ (cbrt 1) (sqrt (log 10.0))))))

simplify5.8s

Counts
187 → 187
Iterations

Useful iterations: 2 (976.0ms)

IterNodesCost
02774070
17003479
244882463
done50012463

prune570.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes127.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01215
11615
done1615

end0.0ms

sample689.0ms

Algorithm
intervals
Results
400.0ms8000×body80valid