Details

Time bar (total: 2.7s)

analyze346.0ms

Algorithm
search

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms21×body80invalid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950023

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.3b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
14.4b
(/ (* x (+ y z)) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
5.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series17.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
11.0ms
(/ (* x (+ y z)) z)

simplify33.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune62.0ms

Filtered
35 candidates to 52 candidates (-48.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New46652
Fresh000
Picked101
Done000
Total47653

Merged error: 0.0b

Counts
53 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.1b
(/ x (/ z (+ y z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
5.0ms
(/ z (+ y z))
8.0ms
(/ x (/ z (+ y z)))

series14.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0413869
11890835
25001832

prune99.0ms

Filtered
91 candidates to 129 candidates (-41.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1272129
Fresh325
Picked011
Done000
Total1305135

Merged error: 0b

Counts
135 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.4b
(* x (/ (+ y z) z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
5.0ms
(/ (+ y z) z)
8.0ms
(* x (/ (+ y z) z))

series13.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(/ (+ y z) z)
9.0ms
(* x (/ (+ y z) z))

simplify85.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0233344
11013313
23948313
35001313

prune58.0ms

Filtered
49 candidates to 74 candidates (-51.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh033
Picked011
Done011
Total74579

Merged error: 0b

Counts
79 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(/ (* (cbrt x) (cbrt x)) (/ (/ z (+ y z)) (cbrt x)))
1.9b
(/ (/ z (+ y z)) (cbrt x))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
664×times-frac
384×*-un-lft-identity
270×add-sqr-sqrt add-cube-cbrt
171×cbrt-prod
118×associate-/r*
57×distribute-lft-out
39×associate-/r/
30×add-exp-log
23×div-inv
19×flip3-+ flip-+ associate-/l*
18×add-cbrt-cube
15×cbrt-undiv div-exp
4×pow1 add-log-exp
3×prod-exp cbrt-unprod
2×frac-2neg pow1/3 clear-num
1×associate-/l/
Counts
4 → 417
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
23.0ms
(/ (* (cbrt x) (cbrt x)) (/ (/ z (+ y z)) (cbrt x)))
10.0ms
(/ (/ z (+ y z)) (cbrt x))

series89.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt x)
25.0ms
(cbrt x)
13.0ms
(/ (* (cbrt x) (cbrt x)) (/ (/ z (+ y z)) (cbrt x)))
29.0ms
(/ (/ z (+ y z)) (cbrt x))

simplify79.0ms

Algorithm
egg-herbie
Counts
429 → 429
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013784871
150014731

prune316.0ms

Filtered
328 candidates to 429 candidates (-30.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New4290429
Fresh022
Picked011
Done022
Total4295434

Merged error: 0b

Counts
434 → 5

regimes167.0ms

Accuracy

47.1% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 3.0b

bsearch322.0ms

Steps
ItersRangePoint
9
870120933990476.0
7.986190629924366e+20
1245913285510824.0
8
-7.56250980204643e+24
-1.7536155302907544e+20
-8.820647025446692e+22

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1219

end0.0ms

analyze337.0ms

Algorithm
search

sample386.0ms

Algorithm
intervals
Results
192.0ms8000×body80valid
21.0ms762×body80invalid

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