Details

Time bar (total: 2.5s)

analyze341.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
21.8%78%0.1%6
26.5%73.3%0.1%7
32%67.9%0.1%8
46.4%52.7%0.9%9
50.9%47.2%1.9%10
54.3%43.3%2.4%11
62.1%32.5%5.4%12
64.3%28.1%7.6%13
66.3%24.6%9.2%14

sample38.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
076610
176610

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (- 4.0 (* x z)))
1.5b
(/ (+ x (- 4.0 (* x z))) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
12×times-frac
11×add-sqr-sqrt add-cube-cbrt
7×add-log-exp
5×distribute-lft-out
4×add-exp-log add-cbrt-cube associate-/l*
3×associate-/r*
2×pow1 associate-+r- flip3-+ sum-log flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg associate-+r+ frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 49
Calls
2 calls:
5.0ms
(+ x (- 4.0 (* x z)))
7.0ms
(/ (+ x (- 4.0 (* x z))) y)

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ x (- 4.0 (* x z)))
9.0ms
(/ (+ x (- 4.0 (* x z))) y)

simplify25.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05099674

prune90.0ms

Filtered
38 candidates to 55 candidates (-44.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh011
Picked011
Done000
Total49857

Merged error: 0b

Counts
57 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (- 4.0 (* x z)))
1.5b
(* (+ x (- 4.0 (* x z))) (/ 1 y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube add-log-exp
4×pow1 associate-*l* prod-exp
3×flip3-+ flip-+ unswap-sqr
2×frac-times div-exp associate-*l/ sum-log cbrt-unprod distribute-lft-out
1×cbrt-undiv +-commutative associate-+r- sub-neg rec-exp associate-+r+ diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 56
Calls
2 calls:
5.0ms
(+ x (- 4.0 (* x z)))
11.0ms
(* (+ x (- 4.0 (* x z))) (/ 1 y))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ x (- 4.0 (* x z)))
9.0ms
(* (+ x (- 4.0 (* x z))) (/ 1 y))

simplify45.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05324696

prune86.0ms

Filtered
39 candidates to 62 candidates (-59.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh066
Picked011
Done011
Total62870

Merged error: 0b

Counts
70 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (- 4.0 (* x z)))
0.1b
(/ 1 (/ y (+ x (- 4.0 (* x z)))))
1.5b
(/ y (+ x (- 4.0 (* x z))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
97×*-un-lft-identity
63×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
17×distribute-lft-out
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp add-log-exp
6×flip3-+ flip-+ div-inv associate-/l*
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num sum-log
1×+-commutative associate-+r- sub-neg associate-+r+ pow-flip diff-log inv-pow
Counts
3 → 144
Calls
3 calls:
5.0ms
(+ x (- 4.0 (* x z)))
9.0ms
(/ 1 (/ y (+ x (- 4.0 (* x z)))))
6.0ms
(/ y (+ x (- 4.0 (* x z))))

series30.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(+ x (- 4.0 (* x z)))
12.0ms
(/ 1 (/ y (+ x (- 4.0 (* x z)))))
14.0ms
(/ y (+ x (- 4.0 (* x z))))

simplify64.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049672388
149672388

prune170.0ms

Filtered
88 candidates to 153 candidates (-73.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1530153
Fresh055
Picked011
Done022
Total1538161

Merged error: 0b

Counts
161 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
4.0b
(* (/ x y) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 78
Calls
3 calls:
9.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(/ (+ x 4.0) y)
6.0ms
(* (/ x y) z)

series21.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.0ms
(/ (+ x 4.0) y)
5.0ms
(* (/ x y) z)

simplify64.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04945779
14945779

prune88.0ms

Filtered
61 candidates to 87 candidates (-42.6%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New87087
Fresh044
Picked011
Done033
Total87895

Merged error: 0b

Counts
95 → 8

regimes353.0ms

Accuracy

97.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07239
17239

end0.0ms

sample911.0ms

Algorithm
intervals
Results
259.0ms8000×body80valid

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