Details

Time bar (total: 6.3s)

sample24.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

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: 32.2b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.7b
(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×log-div flip3-+ div-sub flip-+ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num div-inv
Counts
2 → 63
Calls
2 calls:
7.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series177.0ms

Counts
2 → 6
Calls
2 calls:
135.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
42.0ms
(sqrt (+ (* re re) (* im im)))

simplify134.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (125.0ms)

IterNodesCost
0221664
1556631
21309628
34251628
45001627

prune184.0ms

Filtered
69 candidates to 45 candidates (65.2%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New581169
Fresh000
Picked011
Done000
Total581270

Merged error: 8.6b

Counts
70 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
0.6b
(/ (log 10.0) (log (+ (* re re) (* im im))))
30.9b
(log (+ (* re re) (* im im)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
140×times-frac
71×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×pow1
43×log-pow
24×associate-/r*
11×add-exp-log
10×add-cbrt-cube
7×associate-/l*
6×div-inv
4×cbrt-undiv div-exp
3×log-prod add-log-exp
2×log-div frac-2neg clear-num
1×flip3-+ rem-log-exp associate-/r/ flip-+
Counts
3 → 148
Calls
3 calls:
10.0ms
(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
4.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
4.0ms
(log (+ (* re re) (* im im)))

series313.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(/ 1/2 (/ (log 10.0) (log (+ (* re re) (* im im)))))
131.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
47.0ms
(log (+ (* re re) (* im im)))

simplify56.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04611832
117101738
250011735

prune316.0ms

Filtered
157 candidates to 99 candidates (63.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1498157
Fresh7310
Picked101
Done101
Total15811169

Merged error: 8.5b

Counts
169 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2))
0.5b
(/ (sqrt 1/2) (/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
0.6b
(/ (log 10.0) (log (+ (* re re) (* im im))))
30.9b
(log (+ (* re re) (* im im)))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
2504×times-frac
1035×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
858×sqrt-prod
407×pow1
403×log-pow
134×associate-/r*
59×div-inv
30×associate-/l*
21×add-exp-log
20×add-cbrt-cube
10×cbrt-undiv div-exp
4×add-log-exp
3×log-prod frac-2neg clear-num
2×log-div
1×flip3-+ rem-log-exp associate-/r/ flip-+ associate-/l/
Counts
4 → 1102
Calls
4 calls:
10.0ms
(/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2))
36.0ms
(/ (sqrt 1/2) (/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
4.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
4.0ms
(log (+ (* re re) (* im im)))

series596.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2))
220.0ms
(/ (sqrt 1/2) (/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
132.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
47.0ms
(log (+ (* re re) (* im im)))

simplify241.0ms

Algorithm
egg-herbie
Counts
1114 → 1114
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0205722535
1500121703

prune1.5s

Filtered
1114 candidates to 385 candidates (34.6%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New111041114
Fresh1910
Picked011
Done000
Total1111141125

Merged error: 8.4b

Counts
1125 → 14

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (/ 1/2 (sqrt (log 10.0))) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
0.4b
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
30.9b
(log (+ (* re re) (* im im)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
2249×times-frac
900×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
832×sqrt-prod
402×pow1
399×log-pow
61×div-inv
36×associate-/r*
32×associate-/l*
18×add-exp-log
17×add-cbrt-cube
9×cbrt-undiv div-exp
3×log-prod add-log-exp
2×log-div frac-2neg clear-num
1×flip3-+ rem-log-exp associate-/r/ flip-+ associate-/l/
Counts
3 → 942
Calls
3 calls:
26.0ms
(/ (/ 1/2 (sqrt (log 10.0))) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
4.0ms
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
3.0ms
(log (+ (* re re) (* im im)))

series361.0ms

Counts
3 → 9
Calls
3 calls:
143.0ms
(/ (/ 1/2 (sqrt (log 10.0))) (/ (sqrt (log 10.0)) (log (+ (* re re) (* im im)))))
163.0ms
(/ (sqrt (log 10.0)) (log (+ (* re re) (* im im))))
55.0ms
(log (+ (* re re) (* im im)))

simplify220.0ms

Algorithm
egg-herbie
Counts
951 → 951
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
0238421815
1500120578

prune1.3s

Filtered
951 candidates to 312 candidates (32.8%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New9492951
Fresh01212
Picked011
Done011
Total94916965

Merged error: 8.4b

Counts
965 → 16

regimes465.0ms

bsearch3.0ms

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