Details

Time bar (total: 4.2s)

analyze921.0ms

Algorithm
search

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms26×body80invalid

simplify47.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) t)
9.3b
(/ (* (- y z) t) (- a z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
6.0ms
(* (- y z) t)
8.0ms
(/ (* (- y z) t) (- a z))

series24.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* (- y z) t)
18.0ms
(/ (* (- y z) t) (- a z))

simplify34.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0256263
11188226
25001226

prune79.0ms

Filtered
40 candidates to 57 candidates (-42.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New51657
Fresh000
Picked101
Done000
Total52658

Merged error: 0.0b

Counts
58 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
4.3b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
32×cbrt-prod
30×associate-*r*
25×add-exp-log
24×add-cube-cbrt
20×cbrt-div
18×add-cbrt-cube
17×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 122
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
30.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series99.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
28.0ms
(cbrt (- a z))
25.0ms
(cbrt (- a z))
21.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify70.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06151421
126201268
250011197

prune159.0ms

Filtered
108 candidates to 134 candidates (-24.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh055
Picked011
Done000
Total1337140

Merged error: 0b

Counts
140 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
11.6b
(* (- y z) (/ t (- a z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
5.0ms
(/ t (- a z))
12.0ms
(* (- y z) (/ t (- a z)))

series24.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ t (- a z))
17.0ms
(* (- y z) (/ t (- a z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0293474
11347437
25001437

prune91.0ms

Filtered
62 candidates to 89 candidates (-43.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh055
Picked011
Done011
Total89796

Merged error: 0b

Counts
96 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
3.1b
(* (- y z) (/ t (cbrt (- a z))))
5.3b
(/ (* (- y z) (/ t (cbrt (- a z)))) (* (cbrt (- a z)) (cbrt (- a z))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
34×*-un-lft-identity
30×add-exp-log associate-*r*
27×times-frac
26×cbrt-prod
22×add-cube-cbrt
21×add-cbrt-cube
18×cbrt-div
13×flip3-- flip--
10×associate-/r/
9×cbrt-undiv div-exp prod-exp cbrt-unprod
8×frac-times
6×pow1 associate-*l/ distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/l/
4×associate-*r/ add-log-exp
3×unswap-sqr
2×pow1/3 div-inv
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 124
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
15.0ms
(* (- y z) (/ t (cbrt (- a z))))
23.0ms
(/ (* (- y z) (/ t (cbrt (- a z)))) (* (cbrt (- a z)) (cbrt (- a z))))

series106.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
39.0ms
(* (- y z) (/ t (cbrt (- a z))))
16.0ms
(/ (* (- y z) (/ t (cbrt (- a z)))) (* (cbrt (- a z)) (cbrt (- a z))))

simplify78.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06931234
130351045
25001980

prune130.0ms

Filtered
104 candidates to 136 candidates (-30.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh044
Picked011
Done022
Total1367143

Merged error: 0b

Counts
143 → 7

regimes492.0ms

Accuracy

72.8% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03219
13219

end0.0ms

analyze968.0ms

Algorithm
search

sample598.0ms

Algorithm
intervals
Results
302.0ms7997×body80valid
30.0ms741×body80invalid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms1×body160valid

Profiling

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