Details

Time bar (total: 9.3s)

sample2.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 17.614746%

Guaranteed chance to sample good point: 40.376352%

Results
16.0ms256×body80valid
6.0ms135×body80invalid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 32.7b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

18.3b
(/ (* z z) (* t t))
22.3b
(/ (* x x) (* y y))

rewrite13.0ms

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

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (* z z) (* t t))
6.0ms
(/ (* x x) (* y y))

simplify30.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0285248
11335170
25001160

prune77.0ms

Filtered
26 candidates to 48 candidates (-84.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New40848
Fresh000
Picked101
Done000
Total41849

Merged error: 4.8b

Counts
49 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ x y) (/ x y))
18.3b
(/ (* z z) (* t t))

rewrite19.0ms

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

series10.0ms

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

simplify56.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0482529
12387434
25001394

prune124.0ms

Filtered
57 candidates to 94 candidates (-64.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New85994
Fresh347
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))

rewrite28.0ms

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))
12.0ms
(* (/ x y) (/ x y))

series11.0ms

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

simplify82.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0668810
13378698
25002664

prune186.0ms

Filtered
89 candidates to 140 candidates (-57.3%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New12614140
Fresh7512
Picked101
Done000
Total13419153

Merged error: 0.0b

Counts
153 → 19

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
20.9b
(cbrt (* (/ z t) (/ z t)))
20.9b
(cbrt (* (/ z t) (/ z t)))
20.9b
(cbrt (* (/ z t) (/ z t)))

rewrite24.0ms

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:
6.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
5.0ms
(cbrt (* (/ z t) (/ z t)))
5.0ms
(cbrt (* (/ z t) (/ z t)))
6.0ms
(cbrt (* (/ z t) (/ z t)))

series81.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
19.0ms
(cbrt (* (/ z t) (/ z t)))
19.0ms
(cbrt (* (/ z t) (/ z t)))
19.0ms
(cbrt (* (/ z t) (/ z t)))

simplify66.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0212757
1659686
22655619
35002561

prune78.0ms

Filtered
64 candidates to 97 candidates (-51.6%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh01818
Picked011
Done000
Total9719116

Merged error: 0.0b

Counts
116 → 19

regimes1.4s

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
01418
11418

end0.0ms

sample4.0s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 17.614746%

Guaranteed chance to sample good point: 40.376352%

Results
374.0ms8000×body80valid
221.0ms4638×body80invalid

Profiling

Loading profile data...