Details

Time bar (total: 4.7s)

sample30.0ms

Algorithm
intervals
Results
12.0ms273×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

prune5.0ms

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: 26.1b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* a c) (* b d))
25.6b
(/ (+ (* 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)))

series134.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ (* a c) (* b d))
92.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify82.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0231450
1847413
22837412
35001412

prune166.0ms

Filtered
48 candidates to 38 candidates (20.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New40848
Fresh000
Picked101
Done000
Total41849

Merged error: 25.4b

Counts
49 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
15.5b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
28.3b
(sqrt (+ (* c c) (* d d)))
28.3b
(sqrt (+ (* c c) (* d d)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×flip3-+ associate-/r* flip-+
11×add-exp-log add-cbrt-cube
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
Counts
4 → 264
Calls
4 calls:
17.0ms
(/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d 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)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))) (sqrt (+ (* c c) (* d d))))
125.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
42.0ms
(sqrt (+ (* c c) (* d d)))
48.0ms
(sqrt (+ (* c c) (* d d)))

simplify91.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
07145680
125165201
250015144

prune1.0s

Filtered
276 candidates to 145 candidates (47.5%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2715276
Fresh257
Picked011
Done000
Total27311284

Merged error: 22.5b

Counts
284 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
15.5b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
28.3b
(sqrt (+ (* c c) (* d d)))
28.3b
(sqrt (+ (* c c) (* d d)))

rewrite49.0ms

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:
27.0ms
(* (/ 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)))

series395.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
129.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
47.0ms
(sqrt (+ (* c c) (* d d)))
44.0ms
(sqrt (+ (* c c) (* d d)))

simplify80.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05672505
132822242
250012117

prune638.0ms

Filtered
172 candidates to 112 candidates (34.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1720172
Fresh099
Picked011
Done011
Total17211183

Merged error: 22.5b

Counts
183 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* a c) (* b d))
0.6b
(/ 1 (+ (* c c) (* d d)))
25.1b
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×flip3-+ flip-+ add-log-exp
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×+-commutative pow-flip frac-2neg associate-*r/ pow-prod-down clear-num sum-log un-div-inv *-commutative inv-pow
Counts
3 → 86
Calls
3 calls:
3.0ms
(+ (* a c) (* b d))
5.0ms
(/ 1 (+ (* c c) (* d d)))
11.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

series177.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(+ (* a c) (* b d))
47.0ms
(/ 1 (+ (* c c) (* d d)))
91.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

simplify47.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0352774
11671681
25002653

prune197.0ms

Filtered
95 candidates to 58 candidates (38.9%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh088
Picked011
Done022
Total9511106

Merged error: 22.5b

Counts
106 → 11

regimes396.0ms

Accuracy

0% (3.0b remaining)

Error of 26.0b against oracle of 23.0b and baseline of 26.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01713
11713

end0.0ms

sample752.0ms

Algorithm
intervals
Results
369.0ms8477×body80valid

Profiling

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