Details

Time bar (total: 3.2s)

sample15.0ms

Algorithm
intervals
Results
7.0ms256×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: 0.9b

localize6.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ (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 expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
5.0ms
(/ (atan2 im re) (log 10.0))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (atan2 im re) (log 10.0))

simplify89.0ms

Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
086210
1234196
2597196
31533196
44399196
55001196
done5001196

prune77.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 136
Calls
2 calls:
7.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
45.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series163.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
59.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify48.0ms

Counts
142 → 142
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04101455
118891262
250011154
done50011154

prune249.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

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×expm1-log1p-u frac-times *-commutative log1p-expm1-u div-inv add-log-exp
1×associate-*l/
Counts
2 → 121
Calls
2 calls:
22.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
55.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series161.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
57.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify45.0ms

Counts
127 → 127
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04191106
12000855
25002682
done5002682

prune199.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (/ 1 (sqrt (log 10.0))) (* (* (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))))
2.9b
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
2.9b
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
2.9b
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
114×cbrt-div
99×associate-*r/
82×frac-times
57×un-div-inv
43×add-exp-log
29×associate-*l/
25×associate-*l*
24×prod-exp
21×times-frac
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-cbrt-cube
16×pow1
12×sqrt-prod cbrt-unprod
6×div-exp pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv cbrt-prod rec-exp pow1/3 1-exp log-pow
1×associate-*r* *-commutative div-inv
Counts
4 → 149
Calls
4 calls:
145.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))))
9.0ms
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
9.0ms
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
10.0ms
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series734.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (/ 1 (sqrt (log 10.0))) (* (* (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))) (cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))))
224.0ms
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
221.0ms
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))
221.0ms
(cbrt (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify55.0ms

Counts
161 → 161
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05852894
119111978
250011577
done50011577

prune257.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes307.0ms

Accuracy

37.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.8b

bsearch1.0ms

Steps
ItersRangePoint
0
-0.6821881769209206
-0.6821497557306263
-0.6821689663257735

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01413
11413
done1413

end0.0ms

sample384.0ms

Algorithm
intervals
Results
212.0ms8000×body80valid