Details

Time bar (total: 6.0s)

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

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

localize13.0ms

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)))

rewrite16.0ms

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:
4.0ms
(+ (* re re) (* im im))
7.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series194.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* re re) (* im im))
132.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
36.0ms
(sqrt (+ (* re re) (* im im)))

simplify88.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0256741
1895697
22846694
35001694

prune189.0ms

Filtered
83 candidates to 55 candidates (66.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New721183
Fresh000
Picked101
Done000
Total731184

Merged error: 7.3b

Counts
84 → 11

localize14.0ms

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))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
30.4b
(log (+ (* re re) (* im im)))

rewrite46.0ms

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:
4.0ms
(+ (* re re) (* im im))
23.0ms
(* (/ 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)))
4.0ms
(log (+ (* re re) (* im im)))

series394.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* re re) (* im im))
138.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
180.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
50.0ms
(log (+ (* re re) (* im im)))

simplify67.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05632159
123951981
250021899

prune372.0ms

Filtered
176 candidates to 104 candidates (59.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1688176
Fresh6410
Picked101
Done000
Total17512187

Merged error: 7.1b

Counts
187 → 12

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
13.9b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
17.6b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
44×times-frac
40×add-cube-cbrt *-un-lft-identity
25×pow-unpow associate-*l* sqrt-prod
21×log-prod
13×pow1
12×add-exp-log unpow-prod-down
9×add-cbrt-cube
8×log-pow
7×distribute-rgt-in distribute-lft-in
6×add-log-exp
4×associate-*r* sqr-pow
3×rem-log-exp unswap-sqr
2×pow-to-exp pow-exp prod-exp cbrt-unprod div-inv
1×cbrt-undiv +-commutative pow-pow flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+
Counts
4 → 128
Calls
4 calls:
4.0ms
(+ (* re re) (* im im))
12.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
4.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
7.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* re re) (* im im))
401.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
294.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
316.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify74.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05541776
125191567
250021445

prune345.0ms

Filtered
140 candidates to 90 candidates (64.3%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1373140
Fresh01111
Picked011
Done000
Total13715152

Merged error: 7.1b

Counts
152 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))))
0.3b
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
0.5b
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
30.4b
(log (+ (* re re) (* im im)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
126×sqrt-prod
112×times-frac
107×add-sqr-sqrt
69×add-cube-cbrt *-un-lft-identity
56×associate-*l*
42×pow1
33×associate-*r*
31×log-pow
21×add-exp-log
20×add-cbrt-cube
12×unswap-sqr
10×sqrt-div
7×prod-exp associate-/r* cbrt-unprod
6×frac-times associate-*r/
4×log-div pow-prod-down associate-*l/ div-inv associate-/l* add-log-exp
3×cbrt-undiv log-prod div-exp
2×flip3-+ div-sub *-commutative flip-+
1×frac-2neg rem-log-exp clear-num
Counts
4 → 207
Calls
4 calls:
22.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))))
25.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
7.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
4.0ms
(log (+ (* re re) (* im im)))

series946.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))))
466.0ms
(* (sqrt (/ 1/2 (sqrt (log 10.0)))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
195.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
47.0ms
(log (+ (* re re) (* im im)))

simplify86.0ms

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06403173
127532921
250022883

prune524.0ms

Filtered
219 candidates to 136 candidates (62.1%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New2145219
Fresh5813
Picked011
Done011
Total21915234

Merged error: 7.1b

Counts
234 → 15

regimes755.0ms

Accuracy

56.3% (10.7b remaining)

Error of 18.0b against oracle of 7.4b and baseline of 31.8b

bsearch186.0ms

Steps
ItersRangePoint
8
1.7602068828224764e+98
3.725645902250842e+101
3.665260682697765e+101
7
4.890145485880173e-169
5.979285330824152e-167
1.8902523850390375e-167
9
-3.802171564167569e-272
-2.1821046310258594e-280
-4.172864008012881e-274
10
-1.7033952878190482e+127
-1.5035025016881667e+117
-7.58989654767235e+122

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07666
18266
29366
39566
49566

end0.0ms

sample480.0ms

Algorithm
intervals
Results
347.0ms8000×body80valid