Details

Time bar (total: 4.7s)

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: 28.7b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
26.5b
(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)))

series170.0ms

Counts
2 → 6
Calls
2 calls:
130.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
40.0ms
(sqrt (+ (* re re) (* im im)))

simplify129.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (121.0ms)

IterNodesCost
0221664
1556631
21309628
34047628
45001627

prune180.0ms

Filtered
69 candidates to 45 candidates (65.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New571269
Fresh000
Picked101
Done000
Total581270

Merged error: 5.6b

Counts
70 → 12

localize14.0ms

Local error

Found 3 expressions with local error:

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)))
27.4b
(log (+ (* re re) (* im im)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
82×add-sqr-sqrt
54×sqrt-prod
52×add-cube-cbrt *-un-lft-identity
33×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
18×add-exp-log
17×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod div-inv add-log-exp
2×flip3-+ div-sub flip-+
1×frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 153
Calls
3 calls:
27.0ms
(* (/ 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)))

series365.0ms

Counts
3 → 9
Calls
3 calls:
132.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
182.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
51.0ms
(log (+ (* re re) (* im im)))

simplify65.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05282086
120651915
250011832

prune336.0ms

Filtered
162 candidates to 94 candidates (58.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1566162
Fresh6511
Picked101
Done000
Total16311174

Merged error: 5.5b

Counts
174 → 11

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
12.4b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
16.4b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
44×times-frac
39×add-cube-cbrt *-un-lft-identity
25×pow-unpow associate-*l* sqrt-prod
21×log-prod
12×pow1 unpow-prod-down
11×add-exp-log
8×log-pow add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
4×associate-*r* sqr-pow
3×rem-log-exp add-log-exp unswap-sqr
2×pow-to-exp pow-exp prod-exp cbrt-unprod div-inv
1×cbrt-undiv pow-pow div-exp pow-prod-down associate-*l/ *-commutative
Counts
3 → 117
Calls
3 calls:
13.0ms
(* (/ 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
3 → 9
Calls
3 calls:
394.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
297.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
321.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04631699
119901501
250011310

prune309.0ms

Filtered
126 candidates to 79 candidates (62.7%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1233126
Fresh01010
Picked011
Done000
Total12314137

Merged error: 5.5b

Counts
137 → 14

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)))
27.4b
(log (+ (* re re) (* im im)))

rewrite20.0ms

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:
7.0ms
(/ (cbrt 1/2) (sqrt (sqrt (log 10.0))))
2.0ms
(sqrt (sqrt (log 10.0)))
2.0ms
(sqrt (sqrt (log 10.0)))
4.0ms
(log (+ (* re re) (* im im)))

series53.0ms

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)))
52.0ms
(log (+ (* re re) (* im im)))

simplify58.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
02801323
16411272
216781195
350011183

prune356.0ms

Filtered
148 candidates to 82 candidates (55.4%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1453148
Fresh21012
Picked101
Done011
Total14814162

Merged error: 5.4b

Counts
162 → 14

regimes605.0ms

Accuracy

56.6% (10.7b remaining)

Error of 18.2b against oracle of 7.5b and baseline of 32.1b

bsearch172.0ms

Steps
ItersRangePoint
9
4.0160950957056723e+121
1.2392158031794936e+127
9.0842771601212e+121
2
1.834686345066682e-161
2.1192662046019758e-161
1.8702588275085934e-161
9
2.852999908040723e-205
7.330065439830617e-197
7.184067081095878e-197
9
-9.054381491912354e+157
-5.630651790137533e+148
-6.022553028005723e+149

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06565
16565

end0.0ms

sample626.0ms

Algorithm
intervals
Results
478.0ms8000×body80valid