Details

Time bar (total: 3.0s)

sample28.0ms

Algorithm
intervals
Results
12.0ms277×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 23.6b

Counts
2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(+ (* a c) (* b d))
23.2b
(/ (+ (* 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)))

series41.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* c c) (* d d))
10.0ms
(+ (* a c) (* b d))
26.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify131.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0272527
11164479
24437477
35002477

prune113.0ms

Filtered
62 candidates to 49 candidates (21.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New521062
Fresh000
Picked101
Done000
Total531063

Merged error: 23.0b

Counts
63 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (* a c) (* b d))
12.3b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
26.3b
(sqrt (+ (* c c) (* d d)))
26.3b
(sqrt (+ (* c c) (* d d)))

rewrite21.0ms

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)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series55.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(+ (* a c) (* b d))
34.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify82.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune129.0ms

Filtered
96 candidates to 74 candidates (22.9%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New91596
Fresh279
Picked011
Done000
Total9313106

Merged error: 21.7b

Counts
106 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.5b
(+ (* a c) (* b d))
0.7b
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
22.8b
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

rewrite29.0ms

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:
3.0ms
(+ (* c c) (* d d))
3.0ms
(+ (* 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)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(+ (* c c) (* d d))
9.0ms
(+ (* a c) (* b d))
28.0ms
(/ 1 (/ (+ (* c c) (* d d)) (+ (* a c) (* b d))))
18.0ms
(/ (+ (* c c) (* d d)) (+ (* a c) (* b d)))

simplify67.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05181819
126321654
250011567

prune133.0ms

Filtered
149 candidates to 84 candidates (43.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1472149
Fresh3811
Picked101
Done011
Total15111162

Merged error: 21.7b

Counts
162 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
12.3b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
26.3b
(sqrt (+ (* c c) (* d d)))
26.3b
(sqrt (+ (* c c) (* d d)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
1473×times-frac
681×add-sqr-sqrt
679×add-cube-cbrt *-un-lft-identity
522×sqrt-prod
155×associate-/r*
55×associate-/r/
54×sqrt-div
30×div-inv
28×flip3-+ flip-+
27×add-exp-log
16×div-exp
15×add-cbrt-cube
7×pow1 cbrt-undiv
6×associate-/l*
4×add-log-exp
3×rec-exp 1-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
1×pow-flip inv-pow
Counts
4 → 697
Calls
4 calls:
36.0ms
(/ 1 (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 1 (/ (sqrt (+ (* c c) (* d d))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))))
40.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify193.0ms

Algorithm
egg-herbie
Counts
709 → 709
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0201018819
1500117287

prune389.0ms

Filtered
709 candidates to 288 candidates (59.4%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New7081709
Fresh099
Picked011
Done011
Total70812720

Merged error: 21.7b

Counts
720 → 12

regimes484.0ms

Accuracy

0% (2.2b remaining)

Error of 25.9b against oracle of 23.7b and baseline of 25.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01713
11713

end0.0ms

sample769.0ms

Algorithm
intervals
Results
387.0ms8492×body80valid

Profiling

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