Details

Time bar (total: 5.3s)

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: 34.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
31.8b
(sqrt (+ (* re re) (* im im)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×log-pow
20×pow1
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
6×sqrt-pow1 pow1/2 associate-/l*
4×add-exp-log sqrt-div associate-/r* add-cbrt-cube
3×sqrt-prod
2×log-div flip3-+ div-sub flip-+ add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num div-inv
Counts
2 → 63
Calls
2 calls:
7.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
134.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
35.0ms
(sqrt (+ (* re re) (* im im)))

simplify123.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (116.0ms)

IterNodesCost
0221664
1556631
21309628
34047628
45001627

prune197.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 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)))
31.8b
(sqrt (+ (* re re) (* im im)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
127×times-frac
107×add-sqr-sqrt
78×sqrt-prod
66×*-un-lft-identity
61×log-pow
60×add-cube-cbrt
52×pow1
46×associate-*r*
27×add-exp-log
25×associate-*l*
17×add-cbrt-cube
16×sqrt-pow1 pow1/2
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
6×associate-/l*
5×cbrt-undiv
4×sqrt-div cbrt-unprod
3×div-inv add-log-exp
2×log-div rec-exp flip3-+ 1-exp div-sub flip-+
1×frac-times rem-sqrt-square frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 194
Calls
3 calls:
29.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
8.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
4.0ms
(sqrt (+ (* re re) (* im im)))

series369.0ms

Counts
3 → 9
Calls
3 calls:
136.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
198.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
35.0ms
(sqrt (+ (* re re) (* im im)))

simplify67.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
06132721
124832427
250022334

prune423.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 7.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 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))))
31.8b
(sqrt (+ (* re re) (* im im)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
46×times-frac
43×*-un-lft-identity
41×add-cube-cbrt
38×sqrt-prod
25×pow-unpow associate-*l*
20×log-prod
18×unpow-prod-down
14×pow1
13×add-exp-log
10×distribute-rgt-in distribute-lft-in
8×add-cbrt-cube
7×log-pow
5×unswap-sqr
4×associate-*r* prod-exp
3×pow-pow add-log-exp sqr-pow
2×sqrt-pow1 pow1/2 sqrt-div div-exp cbrt-unprod div-inv
1×cbrt-undiv pow-to-exp rem-sqrt-square rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ pow-exp *-commutative sqrt-pow2 flip-+
Counts
3 → 130
Calls
3 calls:
18.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
7.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
4.0ms
(sqrt (+ (* re re) (* im im)))

series725.0ms

Counts
3 → 9
Calls
3 calls:
352.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
339.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
34.0ms
(sqrt (+ (* re re) (* im im)))

simplify59.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05571973
123331615
250021476

prune368.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 7.8b

localize27.0ms

Local error

Found 4 expressions with local error:

3.9b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
3.9b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
31.8b
(sqrt (+ (* re re) (* im im)))
31.8b
(sqrt (+ (* re re) (* im im)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
50×pow-unpow
42×times-frac
40×add-sqr-sqrt
38×add-cube-cbrt *-un-lft-identity
36×sqrt-prod
16×pow1
12×unpow-prod-down
6×add-exp-log pow-pow log-pow
4×sqrt-pow1 pow1/2 sqrt-div add-cbrt-cube add-log-exp
2×pow-to-exp rem-sqrt-square flip3-+ pow-exp sqrt-pow2 flip-+ div-inv sqr-pow
Counts
4 → 120
Calls
4 calls:
8.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
8.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
4.0ms
(sqrt (+ (* re re) (* im im)))
4.0ms
(sqrt (+ (* re re) (* im im)))

series760.0ms

Counts
4 → 12
Calls
4 calls:
343.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
343.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
39.0ms
(sqrt (+ (* re re) (* im im)))
35.0ms
(sqrt (+ (* re re) (* im im)))

simplify74.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
03051184
110011106
233381032
350011028

prune536.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 7.8b

regimes606.0ms

Accuracy

58.7% (10.1b remaining)

Error of 17.1b against oracle of 7.0b and baseline of 31.5b

bsearch87.0ms

Steps
ItersRangePoint
9
1.3035143797826932e+113
1.0263498879426634e+121
9.175373788887837e+116
9
-4.331403552570957e+63
-1.1145548392722344e+57
-3.6980740601030615e+63

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04034
14034

end0.0ms

sample505.0ms

Algorithm
intervals
Results
365.0ms8000×body80valid