Details

Time bar (total: 5.5s)

sample28.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

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))
30.7b
(sqrt (+ (* re re) (* im im)))

rewrite19.0ms

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:
2.0ms
(+ (* re re) (* im im))
11.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
3.0ms
(sqrt (+ (* re re) (* im im)))

series198.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (* re re) (* im im))
129.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
38.0ms
(sqrt (+ (* re re) (* im im)))

simplify88.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0256741
1895697
22846694
35001694

prune234.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.9b

localize13.0ms

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)))
31.8b
(log (+ (* re re) (* im im)))

rewrite56.0ms

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))
34.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
10.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
3.0ms
(log (+ (* re re) (* im im)))

series402.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(+ (* re re) (* im im))
133.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
191.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
47.0ms
(log (+ (* re re) (* im im)))

simplify64.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05632163
123951981
250021899

prune393.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.7b

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))))))
15.1b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
17.8b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite42.0ms

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:
2.0ms
(+ (* re re) (* im im))
20.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
5.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
10.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series1.0s

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ (* re re) (* im im))
396.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
291.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
320.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

simplify66.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05541776
125191567
250021445

prune516.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.7b

localize16.0ms

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))))
31.8b
(log (+ (* re re) (* im im)))

rewrite92.0ms

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:
3.0ms
(+ (* re re) (* im im))
66.0ms
(* (log (+ (* re re) (* im im))) (/ (/ 1/2 (sqrt (log 10.0))) (sqrt (log 10.0))))
3.0ms
(log (+ (* re re) (* im im)))

series215.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* re re) (* im im))
141.0ms
(* (log (+ (* re re) (* im im))) (/ (/ 1/2 (sqrt (log 10.0))) (sqrt (log 10.0))))
47.0ms
(log (+ (* re re) (* im im)))

simplify96.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
08812994
143802543
250012530

prune439.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.7b

regimes441.0ms

Accuracy

57.9% (10.4b remaining)

Error of 18.1b against oracle of 7.7b and baseline of 32.4b

bsearch187.0ms

Steps
ItersRangePoint
8
3.2569939376069284e+130
4.736247880276648e+134
4.9319226435479606e+132
8
8.455616694613297e-267
3.288780806950153e-264
1.2217527835098556e-266
8
-1.0886040017851406e-206
-1.1929017371024613e-209
-2.3086766487534902e-209
5
-2.6718536626201928e+126
-1.0819923930428702e+126
-1.886444123297446e+126

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06965
17965
28565
38965
48965

end0.0ms

sample776.0ms

Algorithm
intervals
Results
636.0ms8000×body80valid