Details

Time bar (total: 3.7s)

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: 33.7b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
31.2b
(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)))

series193.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* re re) (* im im))
128.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
39.0ms
(sqrt (+ (* re re) (* im im)))

simplify95.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0269757
1956712
23072705
35002704

prune231.0ms

Filtered
91 candidates to 64 candidates (70.3%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New791291
Fresh000
Picked101
Done000
Total801292

Merged error: 0.4b

Counts
92 → 12

localize8.0ms

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))

series145.0ms

Counts
1 → 3
Calls
1 calls:
145.0ms
(/ (log (hypot re im)) (log 10.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 4 (54.0ms)

IterNodesCost
0112294
1283276
2673274
31896274
45001273

prune118.0ms

Filtered
41 candidates to 27 candidates (65.9%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New291241
Fresh9211
Picked011
Done000
Total381553

Merged error: 0.1b

Counts
53 → 15

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.4b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite35.0ms

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)))

series364.0ms

Counts
2 → 6
Calls
2 calls:
153.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
211.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04461765
119751547
250011419

prune311.0ms

Filtered
157 candidates to 78 candidates (49.7%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1498157
Fresh5813
Picked101
Done101
Total15616172

Merged error: 0.0b

Counts
172 → 16

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 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))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
46×times-frac
38×*-un-lft-identity
36×add-cube-cbrt
26×sqrt-prod
25×pow-unpow associate-*l*
14×log-prod
12×add-exp-log
11×pow1
9×unpow-prod-down
7×distribute-rgt-in distribute-lft-in log-pow add-cbrt-cube
5×unswap-sqr
4×associate-*r* prod-exp
3×sqr-pow
2×expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×cbrt-undiv pow-to-exp rec-exp hypot-udef pow-pow 1-exp pow-prod-down associate-*l/ pow-exp *-commutative sqrt-pow2
Counts
2 → 108
Calls
2 calls:
15.0ms
(* (/ 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))))

series730.0ms

Counts
2 → 6
Calls
2 calls:
370.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
359.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04401286
119341043
25001903

prune254.0ms

Filtered
114 candidates to 72 candidates (63.2%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh41115
Picked011
Done000
Total11614130

Merged error: 0b

Counts
130 → 14

regimes279.0ms

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

sample646.0ms

Algorithm
intervals
Results
492.0ms8000×body80valid