Details

Time bar (total: 3.3s)

sample27.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.2b

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))
28.6b
(sqrt (+ (* re re) (* im im)))

rewrite15.0ms

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×flip3-+ sqrt-prod flip-+
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg div-exp clear-num sum-log div-inv
Counts
3 → 74
Calls
3 calls:
3.0ms
(+ (* re re) (* im im))
6.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
3.0ms
(sqrt (+ (* re re) (* im im)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* re re) (* im im))
18.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
6.0ms
(sqrt (+ (* re re) (* im im)))

simplify89.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0259745
1894701
22872696
35001694

prune152.0ms

Filtered
83 candidates to 55 candidates (33.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New701383
Fresh000
Picked101
Done000
Total711384

Merged error: 9.1b

Counts
84 → 13

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.4b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
29.9b
(log (+ (* re re) (* im im)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
83×add-sqr-sqrt
54×sqrt-prod
53×add-cube-cbrt *-un-lft-identity
34×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
19×add-exp-log
18×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
6×add-log-exp
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod flip3-+ flip-+ div-inv
2×div-sub
1×+-commutative frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 164
Calls
4 calls:
3.0ms
(+ (* re re) (* im im))
22.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
9.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
3.0ms
(log (+ (* re re) (* im im)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* re re) (* im im))
23.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
21.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
9.0ms
(log (+ (* re re) (* im im)))

simplify66.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05632179
124622003
250021905

prune309.0ms

Filtered
176 candidates to 106 candidates (39.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1688176
Fresh9312
Picked101
Done000
Total17811189

Merged error: 8.9b

Counts
189 → 11

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
1.0b
(sqrt (sqrt (log 10.0)))
1.0b
(sqrt (sqrt (log 10.0)))
29.9b
(log (+ (* re re) (* im im)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
101×sqrt-prod
60×times-frac
56×add-sqr-sqrt
52×add-cube-cbrt *-un-lft-identity
33×cbrt-prod
18×pow1
10×associate-/r* log-pow
8×sqrt-pow1
7×add-exp-log
6×associate-/l*
5×add-cbrt-cube
4×rem-sqrt-square pow1/2 add-log-exp
3×log-prod
2×log-div
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ div-inv
Counts
4 → 142
Calls
4 calls:
6.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
2.0ms
(sqrt (sqrt (log 10.0)))
2.0ms
(sqrt (sqrt (log 10.0)))
3.0ms
(log (+ (* re re) (* im im)))

series9.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
0.0ms
(sqrt (sqrt (log 10.0)))
0.0ms
(sqrt (sqrt (log 10.0)))
9.0ms
(log (+ (* re re) (* im im)))

simplify53.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
02791327
16471276
217081194
350011182

prune404.0ms

Filtered
148 candidates to 82 candidates (44.6%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1453148
Fresh1910
Picked011
Done000
Total14613159

Merged error: 8.9b

Counts
159 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
29.9b
(log (+ (* re re) (* im im)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
46×add-sqr-sqrt times-frac
36×*-un-lft-identity
34×add-cube-cbrt
30×add-cbrt-cube
29×associate-*l*
26×associate-*r* sqrt-prod
22×prod-exp
19×pow1
12×cbrt-unprod
11×div-exp
8×log-pow
6×cbrt-undiv add-log-exp
5×associate-*r/ unswap-sqr
4×pow-prod-down
3×rec-exp log-prod 1-exp un-div-inv
2×frac-times log-div flip3-+ *-commutative flip-+ div-inv
1×+-commutative rem-log-exp associate-*l/ sum-log
Counts
4 → 133
Calls
4 calls:
3.0ms
(+ (* re re) (* im im))
11.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
13.0ms
(* (/ 1/2 (sqrt (log 10.0))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
3.0ms
(log (+ (* re re) (* im im)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* re re) (* im im))
24.0ms
(* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
21.0ms
(* (/ 1/2 (sqrt (log 10.0))) (* (log (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))))
9.0ms
(log (+ (* re re) (* im im)))

simplify67.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05961617
128241359
250011320

prune213.0ms

Filtered
145 candidates to 86 candidates (40.7%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1441145
Fresh11011
Picked011
Done011
Total14513158

Merged error: 8.9b

Counts
158 → 13

regimes748.0ms

Accuracy

63% (8.2b remaining)

Error of 17.6b against oracle of 9.4b and baseline of 31.7b

bsearch86.0ms

Steps
ItersRangePoint
8
4.05232105898116e+86
6.935793452197432e+90
3.6572717914025045e+90
11
3.022463331713842e-266
1.0077742527905014e-246
1.4766392740342905e-254
8
-9.083915505461662e-290
-2.1412130998067785e-293
-7.754428893451085e-290
5
-2.4059114612047362e+128
-8.665863178746014e+127
-8.853805161892972e+127

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07576
17576

end0.0ms

sample711.0ms

Algorithm
intervals
Results
496.0ms8000×body80valid

Profiling

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