Details

Time bar (total: 2.4s)

sample26.0ms

Algorithm
intervals
Results
11.0ms266×body80valid

simplify163.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (162.0ms)

IterNodesCost
0484115
1484115

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
1.2b
(- (* b c) (* a d))
24.7b
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

rewrite21.0ms

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
3×pow1 associate-/r* associate-/l*
2×flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp clear-num sum-log div-inv
Counts
3 → 55
Calls
3 calls:
4.0ms
(+ (* c c) (* d d))
3.0ms
(- (* b c) (* a d))
12.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

series44.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(+ (* c c) (* d d))
10.0ms
(- (* b c) (* a d))
28.0ms
(/ (- (* b c) (* a d)) (+ (* c c) (* d d)))

simplify48.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05785980

prune100.0ms

Filtered
49 candidates to 64 candidates (-30.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New56864
Fresh000
Picked011
Done000
Total56965

Merged error: 21.9b

Counts
65 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (* b c) (* a d))
16.0b
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
31.0b
(sqrt (+ (* c c) (* d d)))
31.0b
(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
3×flip3-+ flip-+ associate-/l*
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 86
Calls
4 calls:
3.0ms
(- (* b c) (* a d))
9.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (* b c) (* a d))
37.0ms
(/ (- (* b c) (* a d)) (sqrt (+ (* c c) (* d d))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify51.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
057601557

prune129.0ms

Filtered
77 candidates to 98 candidates (-27.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New95398
Fresh347
Picked011
Done011
Total989107

Merged error: 21.9b

Counts
107 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

9.9b
(* d (/ a (sqrt (+ (* c c) (* d d)))))
31.0b
(sqrt (+ (* c c) (* d d)))
31.0b
(sqrt (+ (* c c) (* d d)))
31.0b
(sqrt (+ (* c c) (* d d)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
24×associate-*r*
21×add-cube-cbrt *-un-lft-identity
20×times-frac
19×sqrt-prod
9×pow1 add-exp-log add-cbrt-cube
8×sqrt-div
4×flip3-+ flip-+ add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* unswap-sqr
2×prod-exp associate-/r/ cbrt-unprod
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
4 → 89
Calls
4 calls:
12.0ms
(* d (/ a (sqrt (+ (* c c) (* d d)))))
6.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series31.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* d (/ a (sqrt (+ (* c c) (* d d)))))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify37.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
049891084
149891084

prune118.0ms

Filtered
75 candidates to 101 candidates (-34.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1001101
Fresh156
Picked011
Done022
Total1019110

Merged error: 21.9b

Counts
110 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

7.6b
(/ a (+ (* c c) (* d d)))
8.3b
(/ b (+ (* c c) (* d d)))
9.0b
(* c (/ b (+ (* c c) (* d d))))
12.5b
(* d (/ a (+ (* c c) (* d d))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
38×times-frac
36×add-cube-cbrt *-un-lft-identity
30×associate-*r*
18×add-exp-log add-cbrt-cube
8×pow1 associate-/r/
6×associate-*l* associate-/r* associate-/l*
4×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv add-log-exp unswap-sqr
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 126
Calls
4 calls:
5.0ms
(/ a (+ (* c c) (* d d)))
5.0ms
(/ b (+ (* c c) (* d d)))
11.0ms
(* c (/ b (+ (* c c) (* d d))))
9.0ms
(* d (/ a (+ (* c c) (* d d))))

series63.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ a (+ (* c c) (* d d)))
14.0ms
(/ b (+ (* c c) (* d d)))
12.0ms
(* c (/ b (+ (* c c) (* d d))))
13.0ms
(* d (/ a (+ (* c c) (* d d))))

simplify92.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
051471682

prune118.0ms

Filtered
104 candidates to 138 candidates (-32.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1362138
Fresh145
Picked101
Done033
Total1389147

Merged error: 21.9b

Counts
147 → 9

regimes433.0ms

Accuracy

0% (1.1b remaining)

Error of 24.1b against oracle of 23.0b and baseline of 24.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05336
15336

end0.0ms

sample753.0ms

Algorithm
intervals
Results
362.0ms8484×body80valid

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