Details

Time bar (total: 3.9s)

analyze902.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%75%25%3
0%62.5%37.5%4
0%56.2%43.8%5
3.1%46.9%50%6
3.1%45.3%51.6%7
3.1%44.5%52.4%8
3.5%44.1%52.4%9
3.7%43.9%52.4%10
3.8%43.8%52.4%11
3.8%43.8%52.4%12
3.8%43.8%52.4%13
3.8%43.7%52.4%14

sample252.0ms

Algorithm
intervals
Results
68.0ms101×body1280valid
58.0ms96×body1280nan
49.0ms97×body640valid
29.0ms63×body640nan
14.0ms43×body320nan
13.0ms38×body320valid
3.0ms12×body160valid
2.0msbody160nan
1.0msbody80valid

simplify202.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
0497855
1497855

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 62.2b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (/.f64 PI.f64 4) f)
0.3b
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f))) (-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f)))))
0.7b
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f))) (-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f))))
3.4b
(-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f)))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt_binary64
87×*-un-lft-identity_binary64
66×times-frac_binary64
37×add-cube-cbrt_binary64
34×log-prod_binary64
30×difference-of-squares_binary64
15×distribute-lft-out_binary64
14×add-exp-log_binary64
13×associate-*l*_binary64
11×add-cbrt-cube_binary64
10×sqr-pow_binary64 unpow-prod-down_binary64 distribute-lft-out--_binary64
associate-/r*_binary64 pow1_binary64
add-log-exp_binary64
associate-/r/_binary64 associate-/l*_binary64 insert-posit16
flip3--_binary64 associate-*r*_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64
associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 rem-log-exp_binary64 unswap-sqr_binary64 prod-exp_binary64
pow-prod-down_binary64 flip3-+_binary64 sub-neg_binary64 diff-log_binary64 log-pow_binary64 clear-num_binary64 frac-2neg_binary64 log-div_binary64 flip-+_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 151
Calls
4 calls:
8.0ms
(*.f64 (/.f64 PI.f64 4) f)
15.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f))) (-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f)))))
17.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f))) (-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f))))
218.0ms
(-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f)))

series1.9s

Counts
4 → 12
Calls
4 calls:
292.0ms
(*.f64 (/.f64 PI.f64 4) f)
606.0ms
(log.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f))) (-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f)))))
480.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f))) (-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f))))
525.0ms
(-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4) f)) (pow.f64 (exp.f64 -1/4) (*.f64 PI.f64 f)))
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05881801
15881801
049511749
149511749
05881801
15881801
049511749
149511749
051081845
06592275
16592275
051192135
06592275
16592275
051192135
050102220
08672293
18672293
049152153
149152153
08672293
18672293
049152153
149152153
049282236
149282236
02031742
12031742
03651711
13651711
02031742
12031742
03651711
13651711
054361804

simplify164.0ms

Counts
163 → 163
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
0533516287

prune145.0ms

Filtered
122 candidates to 163 candidates (-33.6%)

Profiling

Loading profile data...