Details

Time bar (total: 2.4s)

analyze363.0ms

Algorithm
search

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
1.0ms31×body80invalid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1223
2333
3363
4423
5463
6543
72823
820723
950023

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.6b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
10.0b
(/ (* x (+ y z)) z)

rewrite12.0ms

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)

series14.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(* x (+ y z))
9.0ms
(/ (* x (+ y z)) z)

simplify36.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0226206
11099177
25001177

prune64.0ms

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))
2.3b
(/ x (/ z (+ y z)))

rewrite17.0ms

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))
7.0ms
(/ x (/ z (+ y z)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

simplify52.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0413869
11890835
25001832

prune98.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
4.7b
(/ (* x y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
5.0ms
(+ (/ (* x y) z) x)
4.0ms
(/ (* x y) z)

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (/ (* x y) z) x)
5.0ms
(/ (* x y) z)

simplify78.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
0168160
1736144
23353142
35001142

prune35.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh033
Picked011
Done011
Total39544

Merged error: 0b

Counts
44 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.4b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ z (+ y z))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
186×times-frac
128×*-un-lft-identity
113×associate-*r*
103×add-sqr-sqrt
92×add-cube-cbrt
65×cbrt-prod
25×add-exp-log
18×distribute-lft-out
15×add-cbrt-cube
13×associate-/r/
9×pow1 prod-exp cbrt-unprod
7×div-inv
6×cbrt-undiv flip3-+ div-exp flip-+
5×unswap-sqr
4×add-log-exp
3×pow1/3 pow-prod-down
1×associate-*r/ associate-*l* *-commutative
Counts
4 → 175
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
28.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ z (+ y z))))

series77.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt x)
20.0ms
(cbrt x)
24.0ms
(cbrt x)
13.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (/ z (+ y z))))

simplify39.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
09861667
150011567

prune148.0ms

Filtered
144 candidates to 187 candidates (-29.9%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1870187
Fresh022
Picked011
Done022
Total1875192

Merged error: 0b

Counts
192 → 5

regimes156.0ms

Accuracy

51.6% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 3.0b

bsearch281.0ms

Steps
ItersRangePoint
7
1.94489367262775e-20
2.712662373984037e-18
4.575777435395605e-20
9
-81580107894623.25
-14318268.93317769
-1483102598056.9634

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0216
1216

end0.0ms

analyze350.0ms

Algorithm
search

sample380.0ms

Algorithm
intervals
Results
194.0ms8000×body80valid
21.0ms779×body80invalid

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