Details

Time bar (total: 4.9s)

sample46.0ms

Algorithm
intervals
Results
19.0ms457×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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 34.8b

Counts
2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

21.6b
(/ (* x x) (* y y))
22.9b
(/ (* z z) (* t t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
6.0ms
(/ (* x x) (* y y))
6.0ms
(/ (* z z) (* t t))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

simplify31.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0285248
11335170
25001160

prune115.0ms

Filtered
48 candidates to 26 candidates (45.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New40848
Fresh000
Picked101
Done000
Total41849

Merged error: 4.4b

Counts
49 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
21.6b
(/ (* x x) (* y y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
41×times-frac
30×add-cube-cbrt *-un-lft-identity
26×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv
4×unswap-sqr
2×add-log-exp
1×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* pow-sqr *-commutative pow-prod-up associate-/l*
Counts
2 → 88
Calls
2 calls:
10.0ms
(* (/ z t) (/ z t))
6.0ms
(/ (* x x) (* y y))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (/ z t) (/ z t))
5.0ms
(/ (* x x) (* y y))

simplify58.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0482529
12387434
25001394

prune307.0ms

Filtered
94 candidates to 57 candidates (39.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New841094
Fresh437
Picked101
Done000
Total8913102

Merged error: 0.1b

Counts
102 → 13

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
80×times-frac
58×add-cube-cbrt *-un-lft-identity
26×add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
16×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
2×pow2 frac-times pow-plus associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up add-log-exp
Counts
2 → 134
Calls
2 calls:
10.0ms
(* (/ z t) (/ z t))
10.0ms
(* (/ x y) (/ x y))

series11.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(* (/ z t) (/ z t))
5.0ms
(* (/ x y) (/ x y))

simplify81.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0668810
13378698
25002664

prune658.0ms

Filtered
140 candidates to 89 candidates (36.4%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New13010140
Fresh21012
Picked101
Done000
Total13320153

Merged error: 0.0b

Counts
153 → 20

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
21.3b
(cbrt (* (/ z t) (/ z t)))
21.3b
(cbrt (* (/ z t) (/ z t)))
21.3b
(cbrt (* (/ z t) (/ z t)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* 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 → 85
Calls
4 calls:
8.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
5.0ms
(cbrt (* (/ z t) (/ z t)))
5.0ms
(cbrt (* (/ z t) (/ z t)))
5.0ms
(cbrt (* (/ z t) (/ z t)))

series82.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
19.0ms
(cbrt (* (/ z t) (/ z t)))
20.0ms
(cbrt (* (/ z t) (/ z t)))
20.0ms
(cbrt (* (/ z t) (/ z t)))

simplify69.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0212757
1659686
22655619
35002561

prune316.0ms

Filtered
97 candidates to 64 candidates (34.0%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New96197
Fresh31619
Picked101
Done000
Total10017117

Merged error: 0.0b

Counts
117 → 17

regimes1.5s

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

sample1.4s

Algorithm
intervals
Results
674.0ms15611×body80valid

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