Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
11.0ms271×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: 26.8b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.3b
(+ (* a c) (* b d))
26.3b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-+ flip-+
3×pow1 associate-/r* associate-/l*
2×+-commutative sum-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 53
Calls
3 calls:
3.0ms
(+ (* c c) (* d d))
3.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (* c c) (* d d))
32.0ms
(+ (* a c) (* b d))
81.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify129.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0272527
11164479
24451477
35003477

prune176.0ms

Filtered
62 candidates to 49 candidates (79.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New54862
Fresh000
Picked101
Done000
Total55863

Merged error: 25.9b

Counts
63 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* a c) (* b d))
16.9b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
31.8b
(sqrt (+ (* c c) (* d d)))
31.8b
(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

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))
9.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* a c) (* b d))
104.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
34.0ms
(sqrt (+ (* c c) (* d d)))
37.0ms
(sqrt (+ (* c c) (* d d)))

simplify82.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0273893
1868840
22693828
35001828

prune232.0ms

Filtered
96 candidates to 74 candidates (77.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New91596
Fresh347
Picked101
Done000
Total959104

Merged error: 24.4b

Counts
104 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* a c) (* b d))
16.9b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
31.8b
(sqrt (+ (* c c) (* d d)))
31.8b
(sqrt (+ (* c c) (* d d)))

rewrite22.0ms

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))
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)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* a c) (* b d))
104.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
34.0ms
(sqrt (+ (* c c) (* d d)))
38.0ms
(sqrt (+ (* c c) (* d d)))

simplify84.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0273893
1868840
22693828
35001828

prune235.0ms

Filtered
96 candidates to 74 candidates (77.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New96096
Fresh088
Picked011
Done000
Total969105

Merged error: 24.4b

Counts
105 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* a c) (* b d))
17.1b
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
31.8b
(sqrt (+ (* c c) (* d d)))
31.8b
(sqrt (+ (* c c) (* d d)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×associate-*r*
22×*-un-lft-identity times-frac
20×add-cube-cbrt
17×sqrt-prod
13×add-exp-log
9×add-cbrt-cube
8×pow1
6×flip3-+ sqrt-div flip-+ add-log-exp
5×unswap-sqr
4×prod-exp
3×associate-*l*
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 div-exp associate-*l/ associate-/r/ cbrt-unprod
1×cbrt-undiv +-commutative rec-exp 1-exp associate-*r/ pow-prod-down sum-log un-div-inv *-commutative div-inv
Counts
4 → 94
Calls
4 calls:
3.0ms
(+ (* a c) (* b d))
14.0ms
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series210.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ (* a c) (* b d))
105.0ms
(* (+ (* a c) (* b d)) (/ 1 (sqrt (+ (* c c) (* d d)))))
38.0ms
(sqrt (+ (* c c) (* d d)))
35.0ms
(sqrt (+ (* c c) (* d d)))

simplify54.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0385911
11913826
25002802

prune225.0ms

Filtered
106 candidates to 75 candidates (70.8%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh077
Picked011
Done011
Total1069115

Merged error: 24.4b

Counts
115 → 9

regimes136.0ms

Accuracy

0% (2.9b remaining)

Error of 26.5b against oracle of 23.6b and baseline of 26.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02214
12214

end0.0ms

sample599.0ms

Algorithm
intervals
Results
374.0ms8431×body80valid

Profiling

Loading profile data...