Details

Time bar (total: 3.3s)

sample37.0ms

Algorithm
intervals
Results
20.0ms476×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: 34.1b

Counts
2 → 1

localize13.0ms

Local error

Found 2 expressions with local error:

19.2b
(/ (* x x) (* y y))
21.5b
(/ (* 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))
7.0ms
(/ (* z z) (* t t))

series50.0ms

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

simplify31.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0285248
11335170
25001160

prune130.0ms

Filtered
48 candidates to 26 candidates (54.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New40848
Fresh000
Picked101
Done000
Total41849

Merged error: 3.8b

Counts
49 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
19.2b
(/ (* 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))

series53.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* (/ z t) (/ z t))
29.0ms
(/ (* x x) (* y y))

simplify55.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0482529
12387434
25001394

prune170.0ms

Filtered
94 candidates to 57 candidates (60.6%)
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:
13.0ms
(* (/ z t) (/ z t))
10.0ms
(* (/ x y) (/ x y))

series48.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(* (/ z t) (/ z t))
24.0ms
(* (/ x y) (/ x y))

simplify78.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0668810
13378698
25002664

prune264.0ms

Filtered
140 candidates to 89 candidates (63.6%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New12713140
Fresh8412
Picked101
Done000
Total13617153

Merged error: 0.0b

Counts
153 → 17

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
22.2b
(cbrt (* (/ z t) (/ z t)))
22.2b
(cbrt (* (/ z t) (/ z t)))
22.2b
(cbrt (* (/ z t) (/ z t)))

rewrite23.0ms

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

series343.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
83.0ms
(cbrt (* (/ z t) (/ z t)))
83.0ms
(cbrt (* (/ z t) (/ z t)))
82.0ms
(cbrt (* (/ z t) (/ z t)))

simplify64.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (55.0ms)

IterNodesCost
0197733
1610650
22523587
35001573

prune185.0ms

Filtered
97 candidates to 64 candidates (66.0%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New95297
Fresh01616
Picked011
Done000
Total9519114

Merged error: 0.0b

Counts
114 → 19

regimes625.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01418
11418

end0.0ms

sample1.1s

Algorithm
intervals
Results
668.0ms15455×body80valid

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