Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
11.0ms268×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0157
1157

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: 25.6b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(+ (* a c) (* b d))
25.1b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-+ associate-/r* flip-+ associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 42
Calls
2 calls:
4.0ms
(+ (* a c) (* b d))
12.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* a c) (* b d))
82.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify85.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0231450
1847413
22851412
35003412

prune153.0ms

Filtered
48 candidates to 38 candidates (79.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New41748
Fresh000
Picked011
Done000
Total41849

Merged error: 24.9b

Counts
49 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* a c) (* b d))
16.3b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
27.3b
(sqrt (+ (* c c) (* d d)))
27.3b
(sqrt (+ (* c c) (* d d)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
6×pow1 add-exp-log sqrt-div associate-/r* add-cbrt-cube add-log-exp
5×flip3-+ flip-+
3×associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
4 → 84
Calls
4 calls:
3.0ms
(+ (* a c) (* b d))
12.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series217.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* a c) (* b d))
113.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
35.0ms
(sqrt (+ (* c c) (* d d)))
35.0ms
(sqrt (+ (* c c) (* d d)))

simplify86.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0273895
1868840
22693828
35001828

prune269.0ms

Filtered
96 candidates to 74 candidates (77.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New92496
Fresh336
Picked011
Done011
Total959104

Merged error: 22.7b

Counts
104 → 9

localize11.0ms

Local error

Found 3 expressions with local error:

0.5b
(+ (* a c) (* b d))
0.6b
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
24.7b
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
7×flip3-+ flip-+
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×+-commutative pow-flip sum-log inv-pow
Counts
3 → 126
Calls
3 calls:
4.0ms
(+ (* a c) (* b d))
9.0ms
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
8.0ms
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

series226.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (* a c) (* b d))
136.0ms
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
57.0ms
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

simplify61.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04801744
122371592
250031505

prune209.0ms

Filtered
135 candidates to 76 candidates (56.3%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh066
Picked011
Done022
Total1359144

Merged error: 22.7b

Counts
144 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

16.3b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
27.3b
(sqrt (+ (* c c) (* d d)))
27.3b
(sqrt (+ (* c c) (* d d)))
27.3b
(sqrt (+ (* c c) (* d d)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
21×sqrt-prod
18×times-frac
8×sqrt-div
7×pow1
6×add-exp-log associate-/r* add-cbrt-cube
5×flip3-+ flip-+
4×add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 88
Calls
4 calls:
10.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
35.0ms
(sqrt (+ (* c c) (* d d)))
39.0ms
(sqrt (+ (* c c) (* d d)))
37.0ms
(sqrt (+ (* c c) (* d d)))

simplify76.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0242919
1758870
22276857
35001857

prune267.0ms

Filtered
100 candidates to 78 candidates (78.0%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New973100
Fresh145
Picked011
Done033
Total9811109

Merged error: 22.7b

Counts
109 → 11

regimes208.0ms

Accuracy

0% (2.7b remaining)

Error of 26.2b against oracle of 23.6b and baseline of 26.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01713
11713

end0.0ms

sample582.0ms

Algorithm
intervals
Results
366.0ms8475×body80valid

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