Details

Time bar (total: 3.2s)

sample21.0ms

Algorithm
intervals
Results
11.0ms269×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0157
1157

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 25.2b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.2b
(+ (* a c) (* b d))
24.6b
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

rewrite20.0ms

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))
11.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

series144.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* c c) (* d d))
37.0ms
(+ (* a c) (* b d))
80.0ms
(/ (+ (* a c) (* b d)) (+ (* c c) (* d d)))

simplify133.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0272527
11164479
24437477
35002477

prune172.0ms

Filtered
62 candidates to 49 candidates (79.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New54862
Fresh000
Picked011
Done000
Total54963

Merged error: 24.3b

Counts
63 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(+ (* a c) (* b d))
16.5b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
26.3b
(sqrt (+ (* c c) (* d d)))
26.3b
(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:
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)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ (* a c) (* b d))
109.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
35.0ms
(sqrt (+ (* c c) (* d d)))
39.0ms
(sqrt (+ (* c c) (* d d)))

simplify81.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0273893
1868840
22679828
35002828

prune249.0ms

Filtered
96 candidates to 74 candidates (77.1%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New93396
Fresh167
Picked011
Done011
Total9411105

Merged error: 22.0b

Counts
105 → 11

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)))))
16.5b
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
26.3b
(sqrt (+ (* c c) (* d d)))
26.3b
(sqrt (+ (* c c) (* d d)))

rewrite54.0ms

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:
30.0ms
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
10.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
4.0ms
(sqrt (+ (* c c) (* d d)))
4.0ms
(sqrt (+ (* c c) (* d d)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* (/ 1 (sqrt (+ (* c c) (* d d)))) (/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d)))))
109.0ms
(/ (+ (* a c) (* b d)) (sqrt (+ (* c c) (* d d))))
38.0ms
(sqrt (+ (* c c) (* d d)))
35.0ms
(sqrt (+ (* c c) (* d d)))

simplify84.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05672507
133032242
250012117

prune364.0ms

Filtered
172 candidates to 111 candidates (64.5%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1720172
Fresh088
Picked011
Done022
Total17211183

Merged error: 22.0b

Counts
183 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* c c) (* d d))
0.2b
(+ (* a c) (* b d))
0.7b
(/ 1 (+ (* c c) (* d d)))
24.0b
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-+ flip-+
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv +-commutative frac-times rec-exp 1-exp associate-*l/ sum-log cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 97
Calls
4 calls:
4.0ms
(+ (* c c) (* d d))
4.0ms
(+ (* a c) (* b d))
5.0ms
(/ 1 (+ (* c c) (* d d)))
15.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

series183.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* c c) (* d d))
33.0ms
(+ (* a c) (* b d))
37.0ms
(/ 1 (+ (* c c) (* d d)))
82.0ms
(* (+ (* a c) (* b d)) (/ 1 (+ (* c c) (* d d))))

simplify55.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0393851
12037747
25003718

prune199.0ms

Filtered
109 candidates to 65 candidates (59.6%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1090109
Fresh077
Picked011
Done033
Total10911120

Merged error: 22.0b

Counts
120 → 11

regimes222.0ms

Accuracy

29.7% (2.1b remaining)

Error of 25.3b against oracle of 23.3b and baseline of 26.2b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02225
12225

end0.0ms

sample553.0ms

Algorithm
intervals
Results
340.0ms8470×body80valid

Profiling

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