Details

Time bar (total: 2.2s)

sample29.0ms

Algorithm
intervals
Results
11.0ms266×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01515
11515

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.8b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
1.5b
(+ (* a c) (* b d))
28.3b
(/ (+ (* 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:
4.0ms
(+ (* c c) (* d d))
4.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* c c) (* d d))
9.0ms
(+ (* a c) (* b d))
26.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify44.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05334951

prune103.0ms

Filtered
48 candidates to 62 candidates (-29.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New55762
Fresh000
Picked011
Done000
Total55863

Merged error: 28.0b

Counts
63 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

1.5b
(+ (* a c) (* b d))
17.9b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
31.3b
(sqrt (+ (* c c) (* d d)))
31.3b
(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:
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)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* a c) (* b d))
33.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify54.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
055031525

prune147.0ms

Filtered
76 candidates to 96 candidates (-26.3%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New92496
Fresh156
Picked011
Done011
Total9311104

Merged error: 25.9b

Counts
104 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.7b
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
1.5b
(+ (* a c) (* b d))
27.8b
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-+ div-exp flip-+ add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×+-commutative rec-exp frac-2neg 1-exp clear-num sum-log associate-/l/
1×pow-flip inv-pow
Counts
4 → 137
Calls
4 calls:
4.0ms
(+ (* c c) (* d d))
10.0ms
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
4.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* c c) (* d d))
26.0ms
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
11.0ms
(+ (* a c) (* b d))
18.0ms
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

simplify66.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049913201
149913201

prune150.0ms

Filtered
103 candidates to 149 candidates (-44.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1472149
Fresh268
Picked011
Done112
Total15010160

Merged error: 25.9b

Counts
160 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

1.5b
(+ (* a c) (* b d))
18.0b
(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
31.3b
(sqrt (+ (* c c) (* d d)))
31.3b
(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 add-cbrt-cube associate-/l* add-log-exp
5×flip3-+ flip-+
3×associate-/r*
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
(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (* a c) (* b d))
23.0ms
(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050341540

prune88.0ms

Filtered
75 candidates to 96 candidates (-28.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New96096
Fresh077
Picked011
Done022
Total9610106

Merged error: 25.9b

Counts
106 → 10

regimes428.0ms

Accuracy

23.1% (2.3b remaining)

Error of 26.4b against oracle of 24.1b and baseline of 27.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03956
13956

end0.0ms

sample717.0ms

Algorithm
intervals
Results
360.0ms8473×body80valid

Profiling

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