Details

Time bar (total: 3.9s)

sample24.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0137
1157
2157

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.1b

Counts
2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.6b
(sqrt (+ (* re re) (* im im)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
4×add-exp-log sqrt-div associate-/r* add-cbrt-cube
3×sqrt-prod
2×expm1-log1p-u log-div flip3-+ div-sub flip-+ log1p-expm1-u add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num hypot-def div-inv
Counts
2 → 68
Calls
2 calls:
7.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series172.0ms

Counts
2 → 6
Calls
2 calls:
137.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
35.0ms
(sqrt (+ (* re re) (* im im)))

simplify132.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0232683
1597648
21428645
34416645
45001645

prune175.0ms

Filtered
74 candidates to 51 candidates (68.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New641074
Fresh000
Picked101
Done000
Total651075

Merged error: 0.3b

Counts
75 → 10

localize7.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (hypot re im)) (log 10.0))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
11×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×log-pow
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
4.0ms
(/ (log (hypot re im)) (log 10.0))

series140.0ms

Counts
1 → 3
Calls
1 calls:
140.0ms
(/ (log (hypot re im)) (log 10.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 4 (53.0ms)

IterNodesCost
0112294
1283276
2673274
31896274
45001273

prune110.0ms

Filtered
41 candidates to 27 candidates (65.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New301141
Fresh729
Picked101
Done000
Total381351

Merged error: 0.1b

Counts
51 → 13

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.4b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
96×add-sqr-sqrt
59×sqrt-prod
56×*-un-lft-identity
50×add-cube-cbrt
32×associate-*r*
31×pow1
27×log-pow
26×add-exp-log
25×associate-*l*
16×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod associate-/l*
3×div-inv
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 → 151
Calls
2 calls:
26.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
5.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series361.0ms

Counts
2 → 6
Calls
2 calls:
151.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
210.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify57.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04461765
119751547
250011419

prune284.0ms

Filtered
157 candidates to 79 candidates (50.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1507157
Fresh5712
Picked101
Done000
Total15614170

Merged error: 0.0b

Counts
170 → 14

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
0.2b
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.9b
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
46×times-frac
41×*-un-lft-identity
39×add-cube-cbrt
26×sqrt-prod
25×pow-unpow associate-*l*
21×log-prod
15×add-exp-log
12×pow1 unpow-prod-down
8×log-pow add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
5×unswap-sqr
4×associate-*r* prod-exp sqr-pow
3×expm1-log1p-u rem-log-exp log1p-expm1-u add-log-exp
2×pow-to-exp div-exp pow-exp cbrt-unprod div-inv
1×cbrt-undiv rec-exp hypot-udef pow-pow 1-exp pow-prod-down associate-*l/ *-commutative sqrt-pow2
Counts
3 → 128
Calls
3 calls:
2.0ms
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
11.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
5.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series1.0s

Counts
3 → 9
Calls
3 calls:
308.0ms
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
372.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
353.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04431483
119461217
250021069

prune426.0ms

Filtered
137 candidates to 89 candidates (65.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1361137
Fresh31013
Picked011
Done000
Total13912151

Merged error: 0b

Counts
151 → 12

regimes91.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

sample607.0ms

Algorithm
intervals
Results
463.0ms8000×body80valid