Details

Time bar (total: 12.8s)

analyze951.0ms

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

sample265.0ms

Algorithm
intervals
Results
65.0ms90×body1280valid
64.0ms95×body1280nan
51.0ms98×body640valid
29.0ms63×body640nan
16.0ms47×body320nan
15.0ms39×body320valid
6.0ms23×body160valid
3.0ms11×body160nan
1.0ms6×body80valid

simplify490.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0500937

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.8b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (/.f64 PI.f64 4.0) f)
0.3b
(*.f64 (/.f64 PI.f64 4.0) f)
1.5b
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 PI.f64 4.0) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 PI.f64 4.0) f)))))
5.9b
(-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 PI.f64 4.0) f))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity_binary64
57×add-sqr-sqrt_binary64
50×times-frac_binary64
33×add-cube-cbrt_binary64
26×associate-*l*_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
8×pow1_binary64
7×distribute-lft-out_binary64 sinh-undef_binary64 cosh-undef_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
6×associate-/r*_binary64 add-log-exp_binary64 associate-*r*_binary64
5×associate-/l*_binary64
4×cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64
3×cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64
2×pow-prod-down_binary64 associate-/l/_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64 associate-*l/_binary64 *-commutative_binary64
1×flip3-+_binary64 sub-neg_binary64 diff-log_binary64 clear-num_binary64 frac-2neg_binary64 flip-+_binary64
Counts
4 → 135
Calls
4 calls:
7.0ms
(*.f64 (/.f64 PI.f64 4.0) f)
7.0ms
(*.f64 (/.f64 PI.f64 4.0) f)
12.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 PI.f64 4.0) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 PI.f64 4.0) f)))))
7.0ms
(-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 PI.f64 4.0) f))))

series89.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 (/.f64 PI.f64 4.0) f)
9.0ms
(*.f64 (/.f64 PI.f64 4.0) f)
56.0ms
(/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 PI.f64 4.0) f)))) (-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 PI.f64 4.0) f)))))
19.0ms
(-.f64 (exp.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (exp.f64 (neg.f64 (*.f64 (/.f64 PI.f64 4.0) f))))

simplify71.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049493576
149493576

prune295.0ms

Filtered
109 candidates to 147 candidates (-34.9%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1452147
Fresh000
Picked101
Done000
Total1462148

Merged error: 2.6b

Counts
148 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (/.f64 PI.f64 4.0) f)
0.4b
(*.f64 (/.f64 1.0 (/.f64 PI.f64 4.0)) (log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))))
0.5b
(log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))
1.7b
(/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
115×times-frac_binary64
91×add-sqr-sqrt_binary64
77×*-un-lft-identity_binary64 add-cube-cbrt_binary64
57×associate-*l*_binary64
42×log-prod_binary64
23×add-exp-log_binary64
20×add-cbrt-cube_binary64
14×distribute-lft-in_binary64 distribute-rgt-in_binary64
10×pow1_binary64
9×div-inv_binary64
7×associate-*r*_binary64
6×div-exp_binary64
5×cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 unswap-sqr_binary64 prod-exp_binary64
4×add-log-exp_binary64 sinh-def_binary64
3×associate-/r*_binary64 associate-/l*_binary64
2×pow-prod-down_binary64 rem-log-exp_binary64 log-pow_binary64 associate-*l/_binary64 *-commutative_binary64
1×associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64 log-div_binary64 cosh-def_binary64
Counts
4 → 181
Calls
4 calls:
7.0ms
(*.f64 (/.f64 PI.f64 4.0) f)
20.0ms
(*.f64 (/.f64 1.0 (/.f64 PI.f64 4.0)) (log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))))
3.0ms
(log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))
5.0ms
(/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))

series405.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(*.f64 (/.f64 PI.f64 4.0) f)
211.0ms
(*.f64 (/.f64 1.0 (/.f64 PI.f64 4.0)) (log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))))
146.0ms
(log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))
43.0ms
(/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))

simplify76.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049544487
149544487

prune354.0ms

Filtered
149 candidates to 193 candidates (-29.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New18211193
Fresh101
Picked101
Done000
Total18411195

Merged error: 2.0b

Counts
195 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (neg.f64 (log.f64 (sqrt.f64 (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))) (/.f64 1.0 (/.f64 PI.f64 4.0)))
1.4b
(/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sqrt.f64 (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))
1.5b
(log.f64 (sqrt.f64 (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))
1.5b
(log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sqrt.f64 (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
105×times-frac_binary64
81×add-sqr-sqrt_binary64
72×*-un-lft-identity_binary64 add-cube-cbrt_binary64
44×associate-*r*_binary64
29×log-prod_binary64
24×sqrt-prod_binary64
19×add-exp-log_binary64
16×associate-*l*_binary64
15×add-cbrt-cube_binary64
13×pow1_binary64
10×log-pow_binary64
6×associate-/r*_binary64 distribute-lft-neg-in_binary64 distribute-rgt-neg-in_binary64 div-inv_binary64
5×div-exp_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64
3×pow1/2_binary64 sinh-def_binary64 cbrt-unprod_binary64 rem-log-exp_binary64 associate-/r/_binary64 sqrt-pow1_binary64 unswap-sqr_binary64 prod-exp_binary64 associate-/l*_binary64 sqrt-div_binary64
2×log-div_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 associate-*r/_binary64 distribute-lft-neg-out_binary64 neg-mul-1_binary64 clear-num_binary64 frac-2neg_binary64 cosh-def_binary64 *-commutative_binary64
Counts
4 → 173
Calls
4 calls:
21.0ms
(*.f64 (neg.f64 (log.f64 (sqrt.f64 (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))) (/.f64 1.0 (/.f64 PI.f64 4.0)))
6.0ms
(/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sqrt.f64 (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))
3.0ms
(log.f64 (sqrt.f64 (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))
5.0ms
(log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sqrt.f64 (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))))

series388.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(*.f64 (neg.f64 (log.f64 (sqrt.f64 (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))) (/.f64 1.0 (/.f64 PI.f64 4.0)))
87.0ms
(/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sqrt.f64 (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))
38.0ms
(log.f64 (sqrt.f64 (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))
171.0ms
(log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sqrt.f64 (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))))

simplify46.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050504385

prune451.0ms

Filtered
139 candidates to 185 candidates (-33.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1832185
Fresh2810
Picked101
Done000
Total18610196

Merged error: 2.0b

Counts
196 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (/.f64 PI.f64 4.0) f)
0.3b
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))) (/.f64 PI.f64 4.0))
0.5b
(log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))
1.7b
(/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
125×times-frac_binary64
81×add-sqr-sqrt_binary64
76×*-un-lft-identity_binary64 add-cube-cbrt_binary64
21×pow1_binary64
19×add-exp-log_binary64
16×associate-/r*_binary64 add-cbrt-cube_binary64
15×log-pow_binary64
14×log-prod_binary64
13×associate-*l*_binary64
9×div-inv_binary64
7×associate-/l*_binary64
6×div-exp_binary64
5×cbrt-undiv_binary64
4×add-log-exp_binary64
3×associate-*r*_binary64 associate-/r/_binary64
2×sinh-def_binary64 cbrt-unprod_binary64 rem-log-exp_binary64 unswap-sqr_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 log-div_binary64
1×pow-prod-down_binary64 associate-/l/_binary64 div-sub_binary64 cosh-def_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 171
Calls
4 calls:
7.0ms
(*.f64 (/.f64 PI.f64 4.0) f)
9.0ms
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))) (/.f64 PI.f64 4.0))
3.0ms
(log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))
5.0ms
(/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))

series395.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(*.f64 (/.f64 PI.f64 4.0) f)
208.0ms
(/.f64 (log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))) (/.f64 PI.f64 4.0))
140.0ms
(log.f64 (/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f))))
43.0ms
(/.f64 (cosh.f64 (*.f64 (/.f64 PI.f64 4.0) f)) (sinh.f64 (*.f64 (/.f64 PI.f64 4.0) f)))

simplify59.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
053764401

prune277.0ms

Filtered
138 candidates to 183 candidates (-32.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1830183
Fresh099
Picked011
Done000
Total18310193

Merged error: 2.0b

Counts
193 → 10

regimes109.0ms

Accuracy

0% (0.4b remaining)

Error of 1.7b against oracle of 1.4b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04521
14521

end0.0ms

sample7.8s

Algorithm
intervals
Results
2.4s3383×body1280valid
1.8s2851×body1280nan
1.2s2438×body640valid
1.1s2369×body640nan
454.0ms1241×body320valid
428.0ms1246×body320nan
175.0ms673×body160valid
49.0ms212×body160nan
34.0ms265×body80valid

Profiling

Loading profile data...