Details

Time bar (total: 11.0s)

sample28.0ms

Algorithm
intervals
Results
14.0ms256×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: 0.9b

localize13.0ms

Local error

Found 1 expressions with local error:

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

series112.0ms

Counts
1 → 3
Calls
1 calls:
112.0ms
(/ (atan2 im re) (log 10.0))

simplify1.3s

Counts
36 → 36
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
054385
191368
2268344
31356344
done5000344

prune119.0ms

Pruning

9 alts after pruning (9 fresh and 0 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))))

rewrite85.0ms

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)))
65.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

series240.0ms

Counts
2 → 6
Calls
2 calls:
161.0ms
(/ (atan2 im re) (sqrt (log 10.0)))
80.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (atan2 im re) (sqrt (log 10.0))))

simplify3.4s

Counts
142 → 142
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01612378
14512203
229461754
done50001726

prune446.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (sqrt (log 10.0)))
4.0b
(cbrt (atan2 im re))
4.0b
(cbrt (atan2 im re))
4.0b
(cbrt (atan2 im re))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log expm1-log1p-u pow1/3 sqrt-prod add-cbrt-cube log1p-expm1-u add-log-exp
1×log-pow
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (sqrt (log 10.0)))
2.0ms
(cbrt (atan2 im re))
2.0ms
(cbrt (atan2 im re))
2.0ms
(cbrt (atan2 im re))

series216.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(cbrt (sqrt (log 10.0)))
54.0ms
(cbrt (atan2 im re))
73.0ms
(cbrt (atan2 im re))
89.0ms
(cbrt (atan2 im re))

simplify1.5s

Counts
66 → 66
Iterations

Useful iterations: 3 (222.0ms)

IterNodesCost
050482
178461
2226411
31259381
done5000381

prune412.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
4.0b
(cbrt (atan2 im re))
4.0b
(cbrt (atan2 im re))
4.0b
(cbrt (atan2 im re))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
41×add-sqr-sqrt
28×sqrt-prod
21×*-un-lft-identity
19×add-cube-cbrt
17×pow1
14×swap-sqr
10×associate-*r* associate-*l*
9×pow1/3 unswap-sqr
6×add-exp-log log-pow
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
34.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))
1.0ms
(cbrt (atan2 im re))

series216.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(* (cbrt (sqrt (log 10.0))) (cbrt (sqrt (log 10.0))))
72.0ms
(cbrt (atan2 im re))
70.0ms
(cbrt (atan2 im re))
74.0ms
(cbrt (atan2 im re))

simplify1.1s

Counts
112 → 112
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0771191
11301059
2628989
done5000964

prune466.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes258.0ms

Accuracy

35.9% (0.5b remaining)

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

bsearch26.0ms

Steps
ItersRangePoint
10
-8.921162345117913e-38
-8.899993274366903e-56
-8.783854077383177e-38

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01426
done1426

end0.0ms

sample812.0ms

Algorithm
intervals
Results
504.0ms8000×body80valid