Details

Time bar (total: 6.5s)

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1117

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.0b

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))
31.6b
(sqrt (+ (* re re) (* im im)))

rewrite48.0ms

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:
10.0ms
(+ (* re re) (* im im))
27.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
8.0ms
(sqrt (+ (* re re) (* im im)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (* re re) (* im im))
138.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
38.0ms
(sqrt (+ (* re re) (* im im)))

simplify91.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0256741
1895697
22846694
35001694

prune235.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
0.5b
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
31.6b
(sqrt (+ (* re re) (* im im)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
108×add-sqr-sqrt
78×sqrt-prod
67×*-un-lft-identity
61×add-cube-cbrt log-pow
53×pow1
46×associate-*r*
28×add-exp-log
25×associate-*l*
18×add-cbrt-cube
16×sqrt-pow1 pow1/2
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
6×associate-/l* add-log-exp
5×cbrt-undiv
4×sqrt-div cbrt-unprod
3×flip3-+ flip-+ div-inv
2×log-div rec-exp 1-exp div-sub
1×+-commutative frac-times rem-sqrt-square frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 205
Calls
4 calls:
8.0ms
(+ (* re re) (* im im))
64.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
31.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
8.0ms
(sqrt (+ (* re re) (* im im)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* re re) (* im im))
142.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
213.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
38.0ms
(sqrt (+ (* re re) (* im im)))

simplify79.0ms

Algorithm
egg-herbie
Counts
217 → 217
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
06482798
128782493
250022395

prune483.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* re re) (* im im))
0.2b
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
3.9b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
31.6b
(sqrt (+ (* re re) (* im im)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
46×times-frac
44×*-un-lft-identity
42×add-cube-cbrt
38×sqrt-prod
25×pow-unpow associate-*l*
20×log-prod
18×unpow-prod-down
15×pow1
14×add-exp-log
10×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube
7×log-pow
6×add-log-exp
5×unswap-sqr
4×associate-*r* prod-exp
3×pow-pow sqr-pow
2×sqrt-pow1 flip3-+ pow1/2 sqrt-div div-exp cbrt-unprod flip-+ div-inv
1×cbrt-undiv +-commutative pow-to-exp rem-sqrt-square rec-exp 1-exp pow-prod-down associate-*l/ pow-exp sum-log *-commutative sqrt-pow2
Counts
4 → 141
Calls
4 calls:
10.0ms
(+ (* re re) (* im im))
46.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
14.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
12.0ms
(sqrt (+ (* re re) (* im im)))

series791.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (* re re) (* im im))
371.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
353.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
38.0ms
(sqrt (+ (* re re) (* im im)))

simplify68.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05932050
127441681
250011554

prune433.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))) 3)
3.9b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
31.6b
(sqrt (+ (* re re) (* im im)))
32.0b
(cbrt (pow (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))) 3))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
50×unpow-prod-down
36×add-sqr-sqrt
35×add-cube-cbrt *-un-lft-identity
30×sqrt-prod
28×pow-unpow
26×cbrt-prod
21×times-frac
20×cube-prod
10×pow1
7×add-exp-log sqr-pow
5×pow-exp add-cbrt-cube
4×pow-pow add-log-exp
3×pow-to-exp log-pow
2×cube-mult sqrt-pow1 pow1/2 sqrt-div unpow3
1×rem-sqrt-square flip3-+ pow1/3 sqrt-pow2 rem-cbrt-cube flip-+ div-inv rem-cube-cbrt
Counts
4 → 134
Calls
4 calls:
21.0ms
(pow (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))) 3)
17.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
8.0ms
(sqrt (+ (* re re) (* im im)))
21.0ms
(cbrt (pow (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))) 3))

series1.3s

Counts
4 → 12
Calls
4 calls:
558.0ms
(pow (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))) 3)
359.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
37.0ms
(sqrt (+ (* re re) (* im im)))
355.0ms
(cbrt (pow (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0)))) 3))

simplify61.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04561704
116691620
250021585

prune413.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.3b

regimes832.0ms

Accuracy

57.4% (10.8b remaining)

Error of 17.8b against oracle of 7.0b and baseline of 32.3b

bsearch160.0ms

Steps
ItersRangePoint
8
3.095505661370574e+39
1.544957661845675e+42
1.5205353416554455e+42
6
3.0377677007948897e-267
2.4443608209047083e-266
3.812412734570747e-267
6
-7.515873903550545e-290
-1.1263855458718038e-290
-1.1670988345674437e-290
9
-8.135496072504979e+92
-3.137185362884227e+83
-3.8594634839189234e+84

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05059
15059

end0.0ms

sample533.0ms

Algorithm
intervals
Results
347.0ms8000×body80valid