Details

Time bar (total: 33.0s)

sample35.0ms

Algorithm
intervals
Results
17.0ms256×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: 0.8b

localize15.0ms

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))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(/ (atan2 im re) (log 10.0))

simplify6.2s

Counts
34 → 34
Iterations

Useful iterations: done (6.1s)

IterNodesCost
052371
1236354
done5001330

prune142.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize22.0ms

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))))

rewrite99.0ms

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)))
85.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series283.0ms

Counts
2 → 6
Calls
2 calls:
170.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
113.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify13.8s

Counts
138 → 138
Iterations

Useful iterations: done (13.8s)

IterNodesCost
01572334
133241846
done50011696

prune399.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))))

rewrite140.0ms

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:
44.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
89.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series274.0ms

Counts
2 → 6
Calls
2 calls:
173.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
101.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify7.9s

Counts
123 → 123
Iterations

Useful iterations: 1 (6.8s)

IterNodesCost
01571989
147921154
done50001154

prune308.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
100×sqrt-prod
69×add-sqr-sqrt
64×times-frac
45×*-un-lft-identity
41×add-cube-cbrt
39×associate-*r*
31×associate-*l*
19×add-exp-log add-cbrt-cube
16×pow1
12×unswap-sqr
9×log-pow
7×associate-/r*
6×prod-exp cbrt-unprod
4×cbrt-undiv sqrt-div div-exp div-inv
3×associate-*r/ add-log-exp
2×pow-prod-down *-commutative
1×frac-times frac-2neg associate-*l/ clear-num associate-/l/ associate-/l*
Counts
3 → 142
Calls
3 calls:
47.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
28.0ms
(/ (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (log 10.0)))
130.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (log 10.0))))

series832.0ms

Counts
3 → 9
Calls
3 calls:
281.0ms
(* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0)))))
429.0ms
(/ (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (log 10.0)))
122.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (* (atan2 im re) (sqrt (/ 1 (sqrt (log 10.0))))) (sqrt (log 10.0))))

simplify647.0ms

Counts
151 → 151
Iterations

Useful iterations: done (639.0ms)

IterNodesCost
02042997
done50002814

prune632.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes213.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02037
12535
done2535

end0.0ms

sample774.0ms

Algorithm
intervals
Results
470.0ms8000×body80valid