Details

Time bar (total: 5.5s)

sample49.0ms

Algorithm
intervals
Results
23.0ms473×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

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: 35.2b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
22.1b
(/ (* z z) (* t t))
22.7b
(/ (* x x) (* y y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×*-un-lft-identity add-log-exp
3×pow1 add-sqr-sqrt add-cube-cbrt
2×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
1×+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
8.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* z z) (* t t))
6.0ms
(/ (* x x) (* y y))

series34.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms
(/ (* z z) (* t t))
5.0ms
(/ (* x x) (* y y))

simplify42.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0375410
11850329
25002297

prune174.0ms

Filtered
64 candidates to 39 candidates (39.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New56864
Fresh000
Picked101
Done000
Total57865

Merged error: 3.9b

Counts
65 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
22.7b
(/ (* x x) (* y y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×times-frac
31×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
10×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv add-log-exp
4×unswap-sqr
3×frac-add
2×frac-times associate-*r/ associate-*l/
1×+-commutative pow2 frac-2neg flip3-+ pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ associate-/l*
Counts
3 → 102
Calls
3 calls:
7.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
12.0ms
(* (/ z t) (/ z t))
6.0ms
(/ (* x x) (* y y))

series34.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
5.0ms
(* (/ z t) (/ z t))
5.0ms
(/ (* x x) (* y y))

simplify68.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0590695
12934591
25001561

prune410.0ms

Filtered
111 candidates to 69 candidates (37.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New9912111
Fresh617
Picked101
Done000
Total10613119

Merged error: 0.1b

Counts
119 → 13

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
0.3b
(* (/ x y) (/ x y))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
6.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
9.0ms
(* (/ z t) (/ z t))
9.0ms
(* (/ x y) (/ x y))

series37.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
5.0ms
(* (/ z t) (/ z t))
5.0ms
(* (/ x y) (/ x y))

simplify102.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
08181019
14079895
25001862

prune810.0ms

Filtered
163 candidates to 104 candidates (36.2%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1567163
Fresh3912
Picked101
Done000
Total16016176

Merged error: 0.0b

Counts
176 → 16

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
1.6b
(* (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (cbrt y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt times-frac
45×add-exp-log
32×add-cbrt-cube
28×add-cube-cbrt *-un-lft-identity
22×associate-*r*
21×cbrt-prod
17×cbrt-undiv div-exp associate-*l*
14×prod-exp cbrt-unprod
9×unswap-sqr
6×pow1
4×add-log-exp
3×pow1/3 div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 113
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
18.0ms
(* (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (cbrt y)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt y)
24.0ms
(cbrt y)
22.0ms
(cbrt y)
9.0ms
(* (/ (/ x y) (* (cbrt y) (cbrt y))) (/ x (cbrt y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06211077
13066926
25001840

prune738.0ms

Filtered
125 candidates to 94 candidates (24.8%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1250125
Fresh01515
Picked011
Done000
Total12516141

Merged error: 0.0b

Counts
141 → 16

regimes1.4s

Accuracy

29.9% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.5b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03328
13328

end0.0ms

sample1.3s

Algorithm
intervals
Results
638.0ms15426×body80valid

Profiling

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