Details

Time bar (total: 3.6s)

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0137
1157
2157

prune2.0ms

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: 31.7b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.7b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.3b
(sqrt (+ (* re re) (* im im)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
21×pow1
17×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
5×add-exp-log add-cbrt-cube add-log-exp
4×sqrt-div associate-/r*
3×expm1-log1p-u flip3-+ sqrt-prod flip-+ log1p-expm1-u
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square fma-def frac-2neg div-exp clear-num sum-log hypot-def div-inv
Counts
3 → 82
Calls
3 calls:
4.0ms
(+ (* re re) (* im im))
7.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series192.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* re re) (* im im))
127.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
39.0ms
(sqrt (+ (* re re) (* im im)))

simplify96.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0269757
1956712
23072705
35002704

prune205.0ms

Filtered
91 candidates to 64 candidates (70.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New811091
Fresh000
Picked101
Done000
Total821092

Merged error: 0.4b

Counts
92 → 10

localize8.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ (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))

series144.0ms

Counts
1 → 3
Calls
1 calls:
144.0ms
(/ (log (hypot re im)) (log 10.0))

simplify58.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 4 (53.0ms)

IterNodesCost
0112294
1283276
2673274
31896274
45001273

prune102.0ms

Filtered
41 candidates to 27 candidates (65.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New291241
Fresh909
Picked101
Done000
Total391251

Merged error: 0.1b

Counts
51 → 12

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.5b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite36.0ms

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:
23.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
5.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series354.0ms

Counts
2 → 6
Calls
2 calls:
141.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
213.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify59.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04461765
119971547
250011433

prune269.0ms

Filtered
157 candidates to 80 candidates (51.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1516157
Fresh5611
Picked101
Done000
Total15712169

Merged error: 0.0b

Counts
169 → 12

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(log (pow (hypot re im) (/ 1 (sqrt (log 10.0)))))
0.3b
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.8b
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite23.0ms

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)))))
359.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
350.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04431483
119461217
250021069

prune276.0ms

Filtered
137 candidates to 89 candidates (65.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1352137
Fresh2911
Picked011
Done000
Total13712149

Merged error: 0.0b

Counts
149 → 12

regimes93.0ms

Accuracy

0% (0.2b 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

sample505.0ms

Algorithm
intervals
Results
365.0ms8000×body80valid