Details

Time bar (total: 4.9s)

sample20.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize15.0ms

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))
28.5b
(sqrt (+ (* re re) (* im im)))

rewrite18.0ms

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:
4.0ms
(+ (* re re) (* im im))
8.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* re re) (* im im))
133.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
35.0ms
(sqrt (+ (* re re) (* im im)))

simplify87.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0256741
1895697
22846694
35001694

prune239.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.1b

localize14.0ms

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)))
29.5b
(log (+ (* re re) (* im im)))

rewrite53.0ms

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))
26.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
11.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
4.0ms
(log (+ (* re re) (* im im)))

series413.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* re re) (* im im))
141.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
189.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
52.0ms
(log (+ (* re re) (* im im)))

simplify64.0ms

Algorithm
egg-herbie
Counts
176 → 176
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05632159
123951981
250021899

prune419.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.0b

localize20.0ms

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))))))
15.2b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
15.7b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

rewrite36.0ms

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))
14.0ms
(* (/ 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)))))
8.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* re re) (* im im))
400.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
290.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))
454.0ms
(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

prune387.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.9b

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)))
29.5b
(log (+ (* re re) (* im im)))

rewrite21.0ms

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)))

series52.0ms

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)))

simplify53.0ms

Algorithm
egg-herbie
Counts
148 → 148
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
02801323
16411272
216781195
350011183

prune402.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 5.9b

regimes611.0ms

Accuracy

57.1% (10.5b remaining)

Error of 18.0b against oracle of 7.5b and baseline of 32.1b

bsearch38.0ms

Steps
ItersRangePoint
5
6.409367159269928e+131
1.4522094872280968e+132
7.475371235488843e+131
2
-2.319338119088684e+59
-1.9710212454209794e+59
-2.2710920961423764e+59

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05142
15142

end0.0ms

sample516.0ms

Algorithm
intervals
Results
376.0ms8000×body80valid