Details

Time bar (total: 3.4s)

sample38.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0137
1157
2157

prune2.0ms

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: 28.7b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
26.5b
(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×expm1-log1p-u log-div flip3-+ div-sub flip-+ log1p-expm1-u add-log-exp
1×cbrt-undiv rem-sqrt-square frac-2neg div-exp clear-num hypot-def div-inv
Counts
2 → 68
Calls
2 calls:
7.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
4.0ms
(sqrt (+ (* re re) (* im im)))

series162.0ms

Counts
2 → 6
Calls
2 calls:
128.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
34.0ms
(sqrt (+ (* re re) (* im im)))

simplify125.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0232683
1597648
21428645
34416645
45001645

prune171.0ms

Filtered
74 candidates to 51 candidates (68.9%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New631174
Fresh000
Picked101
Done000
Total641175

Merged error: 0.3b

Counts
75 → 11

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(hypot re im)
0.6b
(/ (log (hypot re im)) (log 10.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
16×times-frac
12×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×log-pow
4×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv hypot-udef frac-2neg div-exp clear-num div-inv
Counts
2 → 48
Calls
2 calls:
1.0ms
(hypot re im)
6.0ms
(/ (log (hypot re im)) (log 10.0))

series182.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(hypot re im)
138.0ms
(/ (log (hypot re im)) (log 10.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 4 (54.0ms)

IterNodesCost
0129321
1302300
2694298
31942298
45002297

prune124.0ms

Filtered
54 candidates to 38 candidates (70.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New441054
Fresh9110
Picked011
Done000
Total531265

Merged error: 0.1b

Counts
65 → 12

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.3b
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
0.4b
(/ (log (hypot re im)) (sqrt (log 10.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
99×times-frac
97×add-sqr-sqrt
59×sqrt-prod
57×*-un-lft-identity
51×add-cube-cbrt
32×pow1 associate-*r*
27×add-exp-log log-pow
25×associate-*l*
17×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×prod-exp
7×associate-/r*
5×cbrt-undiv
4×cbrt-unprod associate-/l*
3×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×rec-exp 1-exp
1×frac-times hypot-udef frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 161
Calls
3 calls:
1.0ms
(hypot re im)
26.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
5.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

series391.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(hypot re im)
137.0ms
(* (/ 1 (sqrt (log 10.0))) (/ (log (hypot re im)) (sqrt (log 10.0))))
208.0ms
(/ (log (hypot re im)) (sqrt (log 10.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04631792
120161571
250011457

prune289.0ms

Filtered
170 candidates to 93 candidates (54.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1673170
Fresh3710
Picked101
Done101
Total17210182

Merged error: 0.0b

Counts
182 → 10

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot re im)
0.3b
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
3.7b
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
46×times-frac
39×*-un-lft-identity
37×add-cube-cbrt
26×sqrt-prod
25×pow-unpow associate-*l*
14×log-prod
13×add-exp-log
12×pow1
9×unpow-prod-down
8×add-cbrt-cube
7×distribute-rgt-in distribute-lft-in log-pow
5×unswap-sqr
4×associate-*r* prod-exp
3×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
2×hypot-udef div-exp cbrt-unprod div-inv
1×cbrt-undiv pow-to-exp rec-exp pow-pow 1-exp pow-prod-down associate-*l/ pow-exp *-commutative sqrt-pow2
Counts
3 → 118
Calls
3 calls:
1.0ms
(hypot re im)
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))))

series728.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(hypot re im)
353.0ms
(* (/ 1 (sqrt (log 10.0))) (log (pow (hypot re im) (/ 1 (sqrt (log 10.0))))))
332.0ms
(pow (hypot re im) (/ 1 (sqrt (log 10.0))))

simplify52.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04541313
119681067
25001933

prune254.0ms

Filtered
127 candidates to 85 candidates (66.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1261127
Fresh459
Picked011
Done000
Total1307137

Merged error: 0b

Counts
137 → 7

regimes61.0ms

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

sample602.0ms

Algorithm
intervals
Results
460.0ms8000×body80valid