Details

Time bar (total: 2.0s)

sample19.0ms

Algorithm
intervals
Results
6.0ms302×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
082
1122
2152
3162
4162

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.7b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (* x y) z)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
4.0ms
(/ (* x y) z)

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(/ (* x y) z)

simplify53.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
011185
151470
2247170
3500170

prune42.0ms

Filtered
16 candidates to 24 candidates (-50.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New18624
Fresh000
Picked011
Done000
Total18725

Merged error: 0.0b

Counts
25 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
3.4b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
13.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series72.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt z)
21.0ms
(cbrt z)
21.0ms
(cbrt z)
10.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0440756
12120661
25002598

prune109.0ms

Filtered
77 candidates to 104 candidates (-35.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1004104
Fresh055
Picked101
Done011
Total10110111

Merged error: 0b

Counts
111 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
2.1b
(* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (cbrt 1)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
26×add-sqr-sqrt
22×add-cbrt-cube
19×times-frac
16×cbrt-prod
15×prod-exp cbrt-unprod
14×*-un-lft-identity
12×cbrt-undiv add-cube-cbrt div-exp
10×associate-*r*
8×unswap-sqr
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
13.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (cbrt 1)))

series90.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
23.0ms
(cbrt z)
20.0ms
(cbrt z)
25.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ (* (cbrt y) (cbrt y)) (cbrt 1)))

simplify52.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0480933
12047788
25001729

prune126.0ms

Filtered
68 candidates to 100 candidates (-47.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1000100
Fresh088
Picked011
Done011
Total10010110

Merged error: 0b

Counts
110 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.9b
(/ (* (/ x (cbrt z)) (/ y (cbrt z))) (cbrt z))
2.9b
(* (/ x (cbrt z)) (/ y (cbrt z)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
54×times-frac
36×cbrt-prod add-cube-cbrt *-un-lft-identity
34×add-exp-log
22×associate-*r* associate-*l*
21×add-cbrt-cube
13×cbrt-undiv div-exp
9×unswap-sqr
8×prod-exp cbrt-unprod
6×pow1 associate-/r*
4×add-log-exp
3×div-inv associate-/l/
2×frac-times pow1/3 associate-*r/ associate-*l/
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
4 → 131
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
10.0ms
(/ (* (/ x (cbrt z)) (/ y (cbrt z))) (cbrt z))
18.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

series87.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt z)
24.0ms
(cbrt z)
10.0ms
(/ (* (/ x (cbrt z)) (/ y (cbrt z))) (cbrt z))
32.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05961033
12509942
25002919

prune112.0ms

Filtered
110 candidates to 143 candidates (-30.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1421143
Fresh167
Picked011
Done022
Total14310153

Merged error: 0b

Counts
153 → 10

regimes445.0ms

Accuracy

86.1% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 4.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02314
12314

end0.0ms

sample542.0ms

Algorithm
intervals
Results
210.0ms9643×body80valid

Profiling

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