Details

Time bar (total: 2.9s)

sample20.0ms

Algorithm
intervals
Results
10.0ms265×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

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: 27.3b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.5b
(+ (* a c) (* b d))
26.7b
(/ (+ (* 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:
8.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* a c) (* b d))
76.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify87.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0231450
1847413
22837412
35001412

prune130.0ms

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: 26.5b

Counts
49 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* a c) (* b d))
16.6b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
31.7b
(sqrt (+ (* c c) (* d d)))
31.7b
(sqrt (+ (* c c) (* d d)))

rewrite23.0ms

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:
4.0ms
(+ (* a c) (* b d))
9.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (* a c) (* b d))
108.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
35.0ms
(sqrt (+ (* c c) (* d d)))
40.0ms
(sqrt (+ (* c c) (* d d)))

simplify87.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune247.0ms

Filtered
96 candidates to 74 candidates (77.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New91596
Fresh336
Picked101
Done011
Total959104

Merged error: 23.8b

Counts
104 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* a c) (* b d))
16.6b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
31.7b
(sqrt (+ (* c c) (* d d)))
31.7b
(sqrt (+ (* c c) (* d d)))

rewrite23.0ms

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:
4.0ms
(+ (* a c) (* b d))
9.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series222.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ (* a c) (* b d))
108.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
35.0ms
(sqrt (+ (* c c) (* d d)))
41.0ms
(sqrt (+ (* c c) (* d d)))

simplify88.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune252.0ms

Filtered
96 candidates to 74 candidates (77.1%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh077
Picked011
Done011
Total969105

Merged error: 23.8b

Counts
105 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

16.6b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
31.7b
(sqrt (+ (* c c) (* d d)))
31.7b
(sqrt (+ (* c c) (* d d)))
38.8b
(cbrt (pow (sqrt (+ (* c c) (* d d))) 3))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
24×sqrt-prod
18×cbrt-prod times-frac
8×sqrt-div
6×pow1 add-exp-log unpow-prod-down cube-prod associate-/r* add-cbrt-cube
5×flip3-+ flip-+
4×add-log-exp
3×associate-/l*
2×cube-div rem-sqrt-square cbrt-div sqrt-pow1 pow1/2 associate-/r/ associate-/l/
1×cbrt-undiv cube-mult frac-2neg pow1/3 unpow3 div-exp clear-num rem-cbrt-cube div-inv sqr-pow
Counts
4 → 102
Calls
4 calls:
9.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))
5.0ms
(cbrt (pow (sqrt (+ (* c c) (* d d))) 3))

series224.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
34.0ms
(sqrt (+ (* c c) (* d d)))
34.0ms
(sqrt (+ (* c c) (* d d)))
40.0ms
(cbrt (pow (sqrt (+ (* c c) (* d d))) 3))

simplify46.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03401014
11338937
25001934

prune288.0ms

Filtered
114 candidates to 81 candidates (71.1%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1131114
Fresh066
Picked011
Done022
Total11310123

Merged error: 23.8b

Counts
123 → 10

regimes205.0ms

Accuracy

24.5% (2.3b remaining)

Error of 25.1b against oracle of 22.8b and baseline of 25.9b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02726
12726

end0.0ms

sample568.0ms

Algorithm
intervals
Results
359.0ms8493×body80valid

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