Details

Time bar (total: 20.7s)

sample43.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify4.0ms

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

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:
14.0ms
(/ (atan2 im re) (log 10.0))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ (atan2 im re) (log 10.0))

simplify3.3s

Counts
34 → 34
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
052371
184354
2176330
3326330
4548330
5866330
62003330
done5000330

prune148.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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))))

rewrite102.0ms

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:
12.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
78.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series277.0ms

Counts
2 → 6
Calls
2 calls:
177.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
100.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify3.4s

Counts
138 → 138
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01572334
13812061
211381696
329891696
done50001600

prune334.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))))

rewrite108.0ms

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:
23.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
78.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

series237.0ms

Counts
2 → 6
Calls
2 calls:
151.0ms
(* (atan2 im re) (/ 1 (sqrt (log 10.0))))
85.0ms
(* (/ 1 (sqrt (log 10.0))) (* (atan2 im re) (/ 1 (sqrt (log 10.0)))))

simplify7.7s

Counts
123 → 123
Iterations

Useful iterations: 2 (260.0ms)

IterNodesCost
01571989
13531462
2911993
32141993
44467993
done5000993

prune230.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
129×sqrt-prod
117×add-sqr-sqrt
108×times-frac
69×*-un-lft-identity
63×add-cube-cbrt
56×associate-*l*
26×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:
73.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))
12.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
155.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

series583.0ms

Counts
3 → 9
Calls
3 calls:
377.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0))))
129.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
76.0ms
(* (sqrt (/ 1 (sqrt (log 10.0)))) (* (sqrt (/ 1 (sqrt (log 10.0)))) (/ (atan2 im re) (sqrt (log 10.0)))))

simplify2.3s

Counts
191 → 191
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02003731
14563223
213682812
done50002726

prune643.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01935
12435
done2435

end0.0ms

sample695.0ms

Algorithm
intervals
Results
413.0ms8000×body80valid