Details

Time bar (total: 2.5s)

sample30.0ms

Algorithm
intervals
Results
14.0ms265×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: 22.3b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(+ (* a c) (* b d))
21.9b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite12.0ms

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:
3.0ms
(+ (* a c) (* b d))
8.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series35.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (* a c) (* b d))
25.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify84.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0231450
1847413
22837412
35001412

prune101.0ms

Filtered
48 candidates to 38 candidates (20.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New381048
Fresh000
Picked011
Done000
Total381149

Merged error: 21.6b

Counts
49 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* a c) (* b d))
15.4b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
27.8b
(sqrt (+ (* c c) (* d d)))
27.8b
(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:
3.0ms
(+ (* a c) (* b d))
9.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
3.0ms
(sqrt (+ (* c c) (* d d)))
5.0ms
(sqrt (+ (* c c) (* d d)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* a c) (* b d))
32.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
5.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify81.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune134.0ms

Filtered
96 candidates to 74 candidates (22.9%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New89796
Fresh549
Picked011
Done011
Total9413107

Merged error: 20.3b

Counts
107 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
15.5b
(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
27.8b
(sqrt (+ (* c c) (* d d)))
27.8b
(sqrt (+ (* c c) (* d d)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
100×add-sqr-sqrt
98×add-cube-cbrt *-un-lft-identity
54×sqrt-prod
27×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
9×associate-/l*
8×flip3-+ div-exp flip-+
7×pow1
6×sqrt-div div-inv
4×cbrt-undiv add-log-exp
2×rem-sqrt-square rec-exp frac-2neg sqrt-pow1 pow1/2 1-exp clear-num associate-/l/
1×pow-flip inv-pow
Counts
4 → 193
Calls
4 calls:
12.0ms
(/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
8.0ms
(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
3.0ms
(sqrt (+ (* c c) (* d d)))
3.0ms
(sqrt (+ (* c c) (* d d)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ 1 (/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d))))
26.0ms
(/ (sqrt (+ (* c c) (* d d))) (+ (* a c) (* b d)))
6.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify71.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05742902
125342671
250022533

prune160.0ms

Filtered
205 candidates to 106 candidates (48.3%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New2041205
Fresh1910
Picked011
Done022
Total20513218

Merged error: 20.3b

Counts
218 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
15.4b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
27.8b
(sqrt (+ (* c c) (* d d)))
27.8b
(sqrt (+ (* c c) (* d d)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×flip3-+ associate-/r* associate-/r/ flip-+
5×cbrt-undiv
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 160
Calls
4 calls:
28.0ms
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
32.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
5.0ms
(sqrt (+ (* c c) (* d d)))
6.0ms
(sqrt (+ (* c c) (* d d)))

simplify81.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05672505
132822242
250012117

prune132.0ms

Filtered
172 candidates to 109 candidates (36.6%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1693172
Fresh189
Picked101
Done123
Total17213185

Merged error: 20.3b

Counts
185 → 13

regimes527.0ms

Accuracy

0% (3.0b remaining)

Error of 26.2b against oracle of 23.2b and baseline of 26.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01713
11713

end0.0ms

sample723.0ms

Algorithm
intervals
Results
370.0ms8459×body80valid

Profiling

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