Details

Time bar (total: 8.8s)

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

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: 29.3b

localize10.0ms

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))
27.2b
(sqrt (+ (* re re) (* im im)))

rewrite46.0ms

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:
7.0ms
(+ (* re re) (* im im))
28.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
7.0ms
(sqrt (+ (* re re) (* im im)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* re re) (* im im))
132.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
35.0ms
(sqrt (+ (* re re) (* im im)))

simplify86.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0256741
1895697
22846694
35001694

prune222.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.3b
(/ (/ 1 2) (/ (log 10.0) (log (+ (* re re) (* im im)))))
0.6b
(/ (log 10.0) (log (+ (* re re) (* im im))))
28.1b
(log (+ (* re re) (* im im)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
689×times-frac
288×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
127×pow1
123×log-pow
37×div-inv
29×add-exp-log
24×associate-/r*
18×add-cbrt-cube
17×div-exp associate-/l*
9×cbrt-undiv
6×add-log-exp
3×log-prod
2×log-div rec-exp frac-2neg flip3-+ 1-exp clear-num flip-+
1×+-commutative rem-log-exp sum-log associate-/r/ associate-/l/
Counts
4 → 378
Calls
4 calls:
7.0ms
(+ (* re re) (* im im))
20.0ms
(/ (/ 1 2) (/ (log 10.0) (log (+ (* re re) (* im im)))))
7.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
9.0ms
(log (+ (* re re) (* im im)))

series346.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* re re) (* im im))
140.0ms
(/ (/ 1 2) (/ (log 10.0) (log (+ (* re re) (* im im)))))
130.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
49.0ms
(log (+ (* re re) (* im im)))

simplify78.0ms

Algorithm
egg-herbie
Counts
390 → 390
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013635996
150015655

prune638.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (sqrt (/ 1 2)) (/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
0.5b
(/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2))
0.6b
(/ (log 10.0) (log (+ (* re re) (* im im))))
28.1b
(log (+ (* re re) (* im im)))

rewrite547.0ms

Algorithm
rewrite-expression-head
Rules
7029×times-frac
2735×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2708×sqrt-prod
887×pow1
883×log-pow
254×div-inv
134×associate-/r*
40×associate-/l*
21×add-exp-log
20×add-cbrt-cube
10×cbrt-undiv div-exp
4×add-log-exp
3×log-prod frac-2neg clear-num
2×log-div associate-/l/
1×flip3-+ sqrt-div rem-log-exp associate-/r/ flip-+
Counts
4 → 2353
Calls
4 calls:
74.0ms
(/ (sqrt (/ 1 2)) (/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
17.0ms
(/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2))
11.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
6.0ms
(log (+ (* re re) (* im im)))

series577.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(/ (sqrt (/ 1 2)) (/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2)))
186.0ms
(/ (/ (log 10.0) (log (+ (* re re) (* im im)))) (sqrt 1/2))
132.0ms
(/ (log 10.0) (log (+ (* re re) (* im im))))
49.0ms
(log (+ (* re re) (* im im)))

simplify490.0ms

Algorithm
egg-herbie
Counts
2365 → 2365
Iterations

Useful iterations: 1 (78.0ms)

IterNodesCost
0433856583
1500153643

prune3.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (sqrt 1/2) (log (+ (* re re) (* im im))))
0.5b
(/ (sqrt (/ 1 2)) (/ (log 10.0) (* (sqrt 1/2) (log (+ (* re re) (* im im))))))
0.6b
(/ (log 10.0) (* (sqrt 1/2) (log (+ (* re re) (* im im)))))
28.1b
(log (+ (* re re) (* im im)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
281×times-frac
122×add-sqr-sqrt
121×sqrt-prod
118×add-cube-cbrt *-un-lft-identity
28×div-inv
27×pow1
21×add-exp-log log-pow
20×add-cbrt-cube associate-/l*
9×log-prod associate-/r*
7×cbrt-undiv div-exp
6×associate-*l*
4×associate-*r* add-log-exp
3×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
2×log-div frac-2neg clear-num unswap-sqr
1×flip3-+ sqrt-div rem-log-exp pow-prod-down associate-/r/ *-commutative flip-+ associate-/l/
Counts
4 → 236
Calls
4 calls:
17.0ms
(* (sqrt 1/2) (log (+ (* re re) (* im im))))
22.0ms
(/ (sqrt (/ 1 2)) (/ (log 10.0) (* (sqrt 1/2) (log (+ (* re re) (* im im))))))
11.0ms
(/ (log 10.0) (* (sqrt 1/2) (log (+ (* re re) (* im im)))))
9.0ms
(log (+ (* re re) (* im im)))

series536.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (sqrt 1/2) (log (+ (* re re) (* im im))))
211.0ms
(/ (sqrt (/ 1 2)) (/ (log 10.0) (* (sqrt 1/2) (log (+ (* re re) (* im im))))))
189.0ms
(/ (log 10.0) (* (sqrt 1/2) (log (+ (* re re) (* im im)))))
49.0ms
(log (+ (* re re) (* im im)))

simplify100.0ms

Algorithm
egg-herbie
Counts
248 → 248
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
08553958
131483674
250013498

prune586.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.5b

regimes416.0ms

Accuracy

59.2% (9.8b remaining)

Error of 17.4b against oracle of 7.6b and baseline of 31.7b

bsearch113.0ms

Steps
ItersRangePoint
10
1.0348580530422823e+110
9.291279576231168e+119
5.596984149511624e+118
9
-1.3998839575152276e+110
-2.8431280732769518e+104
-1.9802675205288276e+108

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05733
16333
26433
36433

end0.0ms

sample549.0ms

Algorithm
intervals
Results
358.0ms8000×body80valid