Details

Time bar (total: 5.8s)

sample49.0ms

Algorithm
intervals
Results
21.0ms497×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

prune5.0ms

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: 33.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.7b
(/ (* x x) (* y y))
23.0b
(/ (* z z) (* t t))

rewrite24.0ms

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:
11.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms
(/ (* x x) (* y y))
6.0ms
(/ (* z z) (* t t))

series143.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0375410
11850329
25002297

prune241.0ms

Filtered
64 candidates to 39 candidates (60.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New55964
Fresh000
Picked101
Done000
Total56965

Merged error: 4.9b

Counts
65 → 9

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
20.7b
(/ (* x x) (* y y))

rewrite26.0ms

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

series148.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
31.0ms
(* (/ z t) (/ z t))
26.0ms
(/ (* x x) (* y y))

simplify71.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0590695
12934591
25001561

prune411.0ms

Filtered
111 candidates to 69 candidates (62.2%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1029111
Fresh358
Picked101
Done000
Total10614120

Merged error: 0.1b

Counts
120 → 14

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))

rewrite34.0ms

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:
9.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
9.0ms
(* (/ z t) (/ z t))
10.0ms
(* (/ x y) (/ x y))

series142.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
26.0ms
(* (/ z t) (/ z t))
27.0ms
(* (/ x y) (/ x y))

simplify99.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
08181019
14079895
25001862

prune595.0ms

Filtered
163 candidates to 104 candidates (63.8%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New15310163
Fresh7613
Picked101
Done000
Total16116177

Merged error: 0b

Counts
177 → 16

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series726.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (cbrt x) (cbrt x))
175.0ms
(cbrt x)
175.0ms
(cbrt x)
172.0ms
(cbrt x)

simplify88.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune366.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh01515
Picked011
Done000
Total8516101

Merged error: 0b

Counts
101 → 16

regimes1.1s

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01917
11917

end0.0ms

sample1.4s

Algorithm
intervals
Results
689.0ms15592×body80valid

Profiling

Loading profile data...