Details

Time bar (total: 3.4s)

sample37.0ms

Algorithm
intervals
Results
21.0ms505×body80valid

simplify8.0ms

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: 36.4b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

22.4b
(/ (* z z) (* t t))
24.3b
(/ (* x x) (* y y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
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))
9.0ms
(/ (* x x) (* y y))

series51.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (* z z) (* t t))
26.0ms
(/ (* x x) (* y y))

simplify36.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0285248
11335170
25001160

prune95.0ms

Filtered
48 candidates to 26 candidates (54.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New41748
Fresh000
Picked101
Done000
Total42749

Merged error: 5.8b

Counts
49 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ x y) (/ x y))
22.4b
(/ (* 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*
pow1
cbrt-undiv div-exp prod-exp cbrt-unprod
div-inv
unswap-sqr
add-log-exp
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:
9.0ms
(* (/ x y) (/ x y))
6.0ms
(/ (* z z) (* t t))

series58.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (/ x y) (/ x y))
31.0ms
(/ (* z z) (* t t))

simplify65.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0482529
12387434
25001394

prune189.0ms

Filtered
94 candidates to 57 candidates (60.6%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New85994
Fresh246
Picked101
Done000
Total8813101

Merged error: 0.1b

Counts
101 → 13

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

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
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
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))

series52.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (/ z t) (/ z t))
26.0ms
(* (/ x y) (/ x y))

simplify83.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
0668810
13378698
25002664

prune272.0ms

Filtered
140 candidates to 89 candidates (63.6%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New12911140
Fresh5712
Picked101
Done000
Total13518153

Merged error: 0.0b

Counts
153 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
18.8b
(cbrt (* (/ x y) (/ x y)))
18.8b
(cbrt (* (/ x y) (/ x y)))
18.8b
(cbrt (* (/ x y) (/ x y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
pow1/3
add-cube-cbrt *-un-lft-identity
add-exp-log
swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
5.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
5.0ms
(cbrt (* (/ x y) (/ x y)))
5.0ms
(cbrt (* (/ x y) (/ x y)))
5.0ms
(cbrt (* (/ x y) (/ x y)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
84.0ms
(cbrt (* (/ x y) (/ x y)))
86.0ms
(cbrt (* (/ x y) (/ x y)))
84.0ms
(cbrt (* (/ x y) (/ x y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0197733
1610650
22523587
35001557

prune181.0ms

Filtered
97 candidates to 64 candidates (66.0%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New95297
Fresh21517
Picked101
Done000
Total9817115

Merged error: 0b

Counts
115 → 17

regimes621.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01625
11625

end0.0ms

sample1.1s

Algorithm
intervals
Results
676.0ms15437×body80valid

Profiling

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