Details

Time bar (total: 4.0s)

sample20.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0137
1157
2157

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 34.0b

Counts
2 → 1

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))
31.4b
(sqrt (+ (* re re) (* im im)))

rewrite21.0ms

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×expm1-log1p-u flip3-+ sqrt-prod flip-+ log1p-expm1-u
2×log-div div-sub
1×cbrt-undiv +-commutative rem-sqrt-square fma-def frac-2neg div-exp clear-num sum-log hypot-def div-inv
Counts
3 → 82
Calls
3 calls:
7.0ms
(+ (* re re) (* im im))
8.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series348.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ (* re re) (* im im))
282.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
37.0ms
(sqrt (+ (* re re) (* im im)))

simplify94.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0269757
1956712
23072705
35002704

prune245.0ms

Filtered
91 candidates to 64 candidates (70.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New811091
Fresh000
Picked101
Done000
Total821092

Merged error: 0.4b

Counts
92 → 10

localize9.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (log (* 1 (hypot re im))) (log 10.0))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
22×pow1
20×times-frac
16×log-pow
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow-prod-down associate-/l*
4×associate-/r*
3×add-exp-log add-cbrt-cube
1×cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 43
Calls
1 calls:
6.0ms
(/ (log (* 1 (hypot re im))) (log 10.0))

series157.0ms

Counts
1 → 3
Calls
1 calls:
157.0ms
(/ (log (* 1 (hypot re im))) (log 10.0))

simplify384.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0116382
1285360
2782353
33063353
45001353

prune119.0ms

Filtered
46 candidates to 28 candidates (60.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New351146
Fresh909
Picked101
Done000
Total451156

Merged error: 0.1b

Counts
56 → 11

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (* 1 (hypot re im))) (sqrt (log 10.0))))
0.5b
(/ (log (* 1 (hypot re im))) (sqrt (log 10.0)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
113×times-frac
100×add-sqr-sqrt
67×sqrt-prod
63×pow1
60×*-un-lft-identity
54×add-cube-cbrt
44×log-pow
39×associate-*r*
26×add-exp-log
25×associate-*l*
16×pow-prod-down add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv associate-/l*
4×cbrt-unprod
3×div-inv
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num *-commutative
Counts
2 → 166
Calls
2 calls:
29.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (* 1 (hypot re im))) (sqrt (log 10.0))))
6.0ms
(/ (log (* 1 (hypot re im))) (sqrt (log 10.0)))

series385.0ms

Counts
2 → 6
Calls
2 calls:
161.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (* 1 (hypot re im))) (sqrt (log 10.0))))
224.0ms
(/ (log (* 1 (hypot re im))) (sqrt (log 10.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04492081
120001809
250021716

prune335.0ms

Filtered
172 candidates to 84 candidates (48.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1666172
Fresh5510
Picked101
Done000
Total17211183

Merged error: 0.0b

Counts
183 → 11

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.9b
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
46×times-frac
38×*-un-lft-identity
36×add-cube-cbrt
26×sqrt-prod
25×pow-unpow associate-*l*
14×log-prod
12×add-exp-log
11×pow1
9×unpow-prod-down
7×distribute-rgt-in distribute-lft-in log-pow add-cbrt-cube
5×unswap-sqr
4×associate-*r* prod-exp
3×sqr-pow
2×expm1-log1p-u div-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×cbrt-undiv pow-to-exp rec-exp hypot-udef pow-pow 1-exp pow-prod-down associate-*l/ pow-exp *-commutative sqrt-pow2
Counts
2 → 108
Calls
2 calls:
11.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
5.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

series767.0ms

Counts
2 → 6
Calls
2 calls:
395.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
372.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04401286
119341043
25001903

prune266.0ms

Filtered
114 candidates to 71 candidates (62.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh3710
Picked011
Done000
Total11510125

Merged error: 0.0b

Counts
125 → 10

regimes90.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

sample496.0ms

Algorithm
intervals
Results
356.0ms8000×body80valid