Details

Time bar (total: 3.8s)

sample37.0ms

Algorithm
intervals
Results
21.0ms507×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: 38.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
22.5b
(/ (* z z) (* t t))
23.6b
(/ (* x x) (* y y))

rewrite23.0ms

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

series146.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
26.0ms
(/ (* z z) (* t t))
29.0ms
(/ (* x x) (* y y))

simplify46.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0375410
11850329
25002297

prune130.0ms

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: 3.2b

Counts
65 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.4b
(* (/ x y) (/ x y))
22.5b
(/ (* z z) (* t t))

rewrite31.0ms

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)))
12.0ms
(* (/ x y) (/ x y))
6.0ms
(/ (* z z) (* t t))

series142.0ms

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

simplify72.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0590695
12942594
25001564

prune220.0ms

Filtered
111 candidates to 69 candidates (62.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1029111
Fresh448
Picked101
Done000
Total10713120

Merged error: 0.1b

Counts
120 → 13

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))
0.4b
(* (/ x y) (/ x y))

rewrite37.0ms

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))
11.0ms
(* (/ x y) (/ x y))

series145.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
26.0ms
(* (/ z t) (/ z t))
26.0ms
(* (/ x y) (/ x y))

simplify105.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
08181019
14079895
25001862

prune319.0ms

Filtered
163 candidates to 104 candidates (63.8%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New15211163
Fresh6612
Picked101
Done000
Total15917176

Merged error: 0.0b

Counts
176 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ z t)) (cbrt (/ z t)))
10.1b
(cbrt (/ z t))
10.1b
(cbrt (/ z t))
10.1b
(cbrt (/ z t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
12.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series278.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
64.0ms
(cbrt (/ z t))
61.0ms
(cbrt (/ z t))
63.0ms
(cbrt (/ z t))

simplify81.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 3 (68.0ms)

IterNodesCost
02601109
19021061
235251016
35001990

prune410.0ms

Filtered
156 candidates to 119 candidates (76.3%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1551156
Fresh01616
Picked011
Done000
Total15518173

Merged error: 0.0b

Counts
173 → 18

regimes455.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01514
11514

end0.0ms

sample1.0s

Algorithm
intervals
Results
659.0ms15532×body80valid

Profiling

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