Details

Time bar (total: 5.3s)

sample21.0ms

Algorithm
intervals
Results
12.0ms256×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.0b
(log (sqrt (+ (* re re) (* im im))))
0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
32.9b
(sqrt (+ (* re re) (* im im)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×log-pow
24×pow1 times-frac
20×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
7×add-exp-log sqrt-pow1 pow1/2
6×log-prod sqrt-div sqrt-prod add-cbrt-cube associate-/l* add-log-exp
4×log-div flip3-+ associate-/r* flip-+
2×div-sub
1×cbrt-undiv +-commutative rem-sqrt-square frac-2neg div-exp rem-log-exp clear-num sum-log div-inv
Counts
4 → 93
Calls
4 calls:
4.0ms
(+ (* re re) (* im im))
4.0ms
(log (sqrt (+ (* re re) (* im im))))
7.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series276.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* re re) (* im im))
59.0ms
(log (sqrt (+ (* re re) (* im im))))
136.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
42.0ms
(sqrt (+ (* re re) (* im im)))

simplify91.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0266925
1916860
22900857
35001857

prune279.0ms

Filtered
105 candidates to 70 candidates (66.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 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)))
34.2b
(log (+ (* re re) (* im im)))

rewrite43.0ms

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))
22.0ms
(* (/ 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)))

series423.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* re re) (* im im))
149.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
196.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
51.0ms
(log (+ (* re re) (* im im)))

simplify67.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05632159
123951981
250021899

prune406.0ms

Filtered
176 candidates to 104 candidates (59.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
15.8b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
19.4b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

rewrite35.0ms

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))))))
7.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
4.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* re re) (* im im))
398.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
323.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
304.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05541776
125191567
250021445

prune384.0ms

Filtered
140 candidates to 89 candidates (63.6%)
Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 7.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(* (log (+ (* re re) (* im im))) (/ (/ 1/2 (sqrt (log 10.0))) (sqrt (log 10.0))))
34.2b
(log (+ (* re re) (* im im)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
332×times-frac
189×sqrt-prod
179×associate-*r*
178×add-sqr-sqrt
154×add-cube-cbrt *-un-lft-identity
53×pow1
48×log-pow
13×add-exp-log
12×add-cbrt-cube
8×div-inv
7×unswap-sqr
5×add-log-exp
4×associate-*l*
3×cbrt-undiv log-prod div-exp prod-exp cbrt-unprod
2×log-div flip3-+ flip-+
1×+-commutative associate-*r/ rem-log-exp pow-prod-down sum-log *-commutative
Counts
3 → 231
Calls
3 calls:
4.0ms
(+ (* re re) (* im im))
48.0ms
(* (log (+ (* re re) (* im im))) (/ (/ 1/2 (sqrt (log 10.0))) (sqrt (log 10.0))))
4.0ms
(log (+ (* re re) (* im im)))

series227.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (* re re) (* im im))
140.0ms
(* (log (+ (* re re) (* im im))) (/ (/ 1/2 (sqrt (log 10.0))) (sqrt (log 10.0))))
54.0ms
(log (+ (* re re) (* im im)))

simplify92.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
08812994
143802543
250012530

prune416.0ms

Filtered
240 candidates to 105 candidates (43.8%)
Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 7.4b

regimes572.0ms

Accuracy

54.7% (11.3b remaining)

Error of 18.5b against oracle of 7.2b and baseline of 32.1b

bsearch180.0ms

Steps
ItersRangePoint
7
8.038692978176935e+71
1.1196446523800873e+74
5.3414140015848386e+73
9
1.2985469384239522e-236
1.9910495686308364e-227
6.6019226566762855e-236
7
-1.487185077060056e-133
-7.753638802045988e-136
-8.363233300696691e-136
9
-5.852158442175802e+75
-5.8276681929279876e+69
-5.781737093335538e+75

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05955
16355
26355

end0.0ms

sample515.0ms

Algorithm
intervals
Results
368.0ms8000×body80valid