Details

Time bar (total: 5.5s)

sample19.0ms

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: 35.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
32.8b
(sqrt (+ (* re re) (* im im)))

rewrite16.0ms

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:
11.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series172.0ms

Counts
2 → 6
Calls
2 calls:
135.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
36.0ms
(sqrt (+ (* re re) (* im im)))

simplify124.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 4 (116.0ms)

IterNodesCost
0221664
1556631
21309628
34047628
45001627

prune190.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.4b

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)))
32.8b
(sqrt (+ (* re re) (* im im)))

rewrite70.0ms

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:
40.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
12.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
7.0ms
(sqrt (+ (* re re) (* im im)))

series395.0ms

Counts
3 → 9
Calls
3 calls:
145.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0))))
209.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (sqrt (log 10.0)))
41.0ms
(sqrt (+ (* re re) (* im im)))

simplify69.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
06132721
124602427
250012325

prune447.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.2b

localize19.0ms

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))))))
4.0b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
32.8b
(sqrt (+ (* re re) (* im im)))

rewrite43.0ms

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:
27.0ms
(* (/ 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)))

series755.0ms

Counts
3 → 9
Calls
3 calls:
361.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))))
357.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
37.0ms
(sqrt (+ (* re re) (* im im)))

simplify67.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05571973
123331615
250021476

prune381.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 8.2b

localize24.0ms

Local error

Found 4 expressions with local error:

4.0b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
4.0b
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
32.8b
(sqrt (+ (* re re) (* im im)))
32.8b
(sqrt (+ (* re re) (* im im)))

rewrite25.0ms

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:
7.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
7.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
3.0ms
(sqrt (+ (* re re) (* im im)))
4.0ms
(sqrt (+ (* re re) (* im im)))

series778.0ms

Counts
4 → 12
Calls
4 calls:
351.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
347.0ms
(pow (sqrt (+ (* re re) (* im im))) (/ 1 (sqrt (log 10.0))))
35.0ms
(sqrt (+ (* re re) (* im im)))
43.0ms
(sqrt (+ (* re re) (* im im)))

simplify75.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 3 (64.0ms)

IterNodesCost
03051184
110011106
233381032
350021028

prune547.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.2b

regimes624.0ms

Accuracy

54% (11.4b remaining)

Error of 18.7b against oracle of 7.3b and baseline of 32.1b

bsearch146.0ms

Steps
ItersRangePoint
7
1836.721956390875
43768.65998072103
43187.278897220196
3
3.848128180828314e-306
4.5964834505244634e-306
4.3626224287444165e-306
5
-2.5384429205250804e-159
-1.0393263114138286e-159
-1.0507847004521692e-159
10
-8.110240356876969e+23
-4668601.75099094
-7.941331209048311e+23

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06472
16472

end0.0ms

sample471.0ms

Algorithm
intervals
Results
335.0ms8000×body80valid