Details

Time bar (total: 4.0s)

sample32.0ms

Algorithm
intervals
Results
17.0ms500×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1427
2547
3547

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: 31.3b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
19.4b
(/ (* x x) (* y y))
19.9b
(/ (* z z) (* t t))

rewrite25.0ms

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)))
9.0ms
(/ (* x x) (* y y))
6.0ms
(/ (* z z) (* t t))

series139.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms
(/ (* x x) (* y y))
25.0ms
(/ (* z z) (* t t))

simplify42.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0375410
11850329
25002297

prune135.0ms

Filtered
64 candidates to 39 candidates (60.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New56864
Fresh000
Picked101
Done000
Total57865

Merged error: 4.1b

Counts
65 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.3b
(* (/ x y) (/ x y))
19.9b
(/ (* z z) (* t t))

rewrite27.0ms

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:
8.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
10.0ms
(* (/ x y) (/ x y))
6.0ms
(/ (* z z) (* t t))

series143.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
25.0ms
(* (/ x y) (/ x y))
28.0ms
(/ (* z z) (* t t))

simplify69.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0590695
12942594
25002564

prune221.0ms

Filtered
111 candidates to 69 candidates (62.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1029111
Fresh437
Picked101
Done000
Total10712119

Merged error: 0.1b

Counts
119 → 12

localize8.0ms

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))

rewrite36.0ms

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:
7.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
10.0ms
(* (/ z t) (/ z t))
13.0ms
(* (/ x y) (/ x y))

series142.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
25.0ms
(* (/ z t) (/ z t))
26.0ms
(* (/ x y) (/ x y))

simplify103.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08181019
14079895
25001862

prune340.0ms

Filtered
163 candidates to 104 candidates (63.8%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New14815163
Fresh7411
Picked101
Done000
Total15619175

Merged error: 0.0b

Counts
175 → 19

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series719.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt t)
180.0ms
(cbrt z)
184.0ms
(cbrt z)
175.0ms
(cbrt z)

simplify56.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
069156
1145144
2346136
31277136
45001136

prune191.0ms

Filtered
56 candidates to 48 candidates (85.7%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh31518
Picked011
Done000
Total571875

Merged error: 0.0b

Counts
75 → 18

regimes599.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02523
12523

end0.0ms

sample931.0ms

Algorithm
intervals
Results
559.0ms15643×body80valid