Details

Time bar (total: 3.9s)

sample27.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify2.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01112
11112

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.4b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
29.8b
(sqrt (+ (* re re) (* im im)))

rewrite19.0ms

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

series27.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0))
7.0ms
(sqrt (+ (* re re) (* im im)))

simplify52.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
051191035

prune151.0ms

Filtered
46 candidates to 69 candidates (-50.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New581169
Fresh000
Picked101
Done000
Total591170

Merged error: 8.1b

Counts
70 → 11

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 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)))
31.0b
(log (+ (* re re) (* im im)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
82×add-sqr-sqrt
54×sqrt-prod
52×add-cube-cbrt *-un-lft-identity
33×pow1
32×associate-*r*
28×log-pow
25×associate-*l*
18×add-exp-log
17×add-cbrt-cube
9×unswap-sqr
7×associate-/r*
5×cbrt-undiv div-exp
4×log-div prod-exp cbrt-unprod associate-/l*
3×log-prod div-inv add-log-exp
2×flip3-+ div-sub flip-+
1×frac-times frac-2neg associate-*r/ rem-log-exp pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 153
Calls
3 calls:
25.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
10.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
4.0ms
(log (+ (* re re) (* im im)))

series62.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(* (/ 1/2 (sqrt (log 10.0))) (/ (log (+ (* re re) (* im im))) (sqrt (log 10.0))))
25.0ms
(/ (log (+ (* re re) (* im im))) (sqrt (log 10.0)))
10.0ms
(log (+ (* re re) (* im im)))

simplify53.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050282823

prune334.0ms

Filtered
96 candidates to 162 candidates (-68.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New15210162
Fresh7310
Picked101
Done000
Total16013173

Merged error: 7.9b

Counts
173 → 13

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (log 10.0))
1.0b
(* (cbrt 1/2) (cbrt 1/2))
1.6b
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
31.0b
(log (+ (* re re) (* im im)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
38×add-sqr-sqrt
26×pow1
24×*-un-lft-identity
22×add-cube-cbrt
15×swap-sqr
13×pow1/3 associate-*r* associate-*l*
9×add-exp-log
8×log-pow unswap-sqr
4×pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp
3×log-prod
2×pow2 log-div pow-plus prod-exp *-commutative cbrt-unprod
1×flip3-+ rem-log-exp flip-+
Counts
4 → 111
Calls
4 calls:
2.0ms
(cbrt (log 10.0))
6.0ms
(* (cbrt 1/2) (cbrt 1/2))
7.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
4.0ms
(log (+ (* re re) (* im im)))

series10.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(cbrt (log 10.0))
0.0ms
(* (cbrt 1/2) (cbrt 1/2))
0.0ms
(* (cbrt (log 10.0)) (cbrt (log 10.0)))
10.0ms
(log (+ (* re re) (* im im)))

simplify50.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04908849
14908849

prune483.0ms

Filtered
79 candidates to 117 candidates (-48.1%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1143117
Fresh01212
Picked011
Done000
Total11416130

Merged error: 7.8b

Counts
130 → 16

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
15.8b
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
16.5b
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
44×times-frac
39×add-cube-cbrt *-un-lft-identity
25×pow-unpow associate-*l* sqrt-prod
21×log-prod
12×pow1 unpow-prod-down
11×add-exp-log
8×log-pow add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
4×associate-*r* sqr-pow
3×rem-log-exp add-log-exp unswap-sqr
2×pow-to-exp pow-exp prod-exp cbrt-unprod div-inv
1×cbrt-undiv pow-pow div-exp pow-prod-down associate-*l/ *-commutative
Counts
3 → 117
Calls
3 calls:
14.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
8.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
5.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

series132.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* (/ 1/2 (sqrt (log 10.0))) (log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))))
44.0ms
(pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0))))
38.0ms
(log (pow (+ (* re re) (* im im)) (/ 1 (sqrt (log 10.0)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
049072101
149072101

prune232.0ms

Filtered
75 candidates to 126 candidates (-68.0%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New1242126
Fresh31114
Picked011
Done011
Total12715142

Merged error: 7.8b

Counts
142 → 15

regimes1.2s

Accuracy

58% (10.4b remaining)

Error of 17.7b against oracle of 7.4b and baseline of 32.0b

bsearch99.0ms

Steps
ItersRangePoint
9
3.43401543638109e+114
5.025550553073085e+120
8.754465816850236e+115
10
1.3994626587696508e-214
2.9831774035161146e-199
8.40378243769235e-209
9
-6.504356142913877e-254
-7.961665226380449e-261
-4.6816349968371315e-258
8
-1.0891331514545633e+114
-3.5827156305380124e+111
-3.894646598919738e+113

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081157
181157

end0.0ms

sample727.0ms

Algorithm
intervals
Results
483.0ms8000×body80valid

Profiling

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