Details

Time bar (total: 1.7s)

sample21.0ms

Algorithm
intervals
Results
8.0ms314×body80valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.7b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.1b
(/ (* x (- y z)) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r*
pow1 associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* x (- y z))
6.0ms
(/ (* x (- y z)) y)

series16.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0219218
11044189
25001189

prune60.0ms

Filtered
35 candidates to 55 candidates (-57.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New50555
Fresh000
Picked011
Done000
Total50656

Merged error: 0.0b

Counts
56 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
4.0b
(/ x (/ y (- y z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip--
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ y (- y z))
10.0ms
(/ x (/ y (- y z)))

series14.0ms

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

simplify53.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04721043
122201007
250011004

prune113.0ms

Filtered
108 candidates to 145 candidates (-34.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1432145
Fresh224
Picked011
Done011
Total1456151

Merged error: 0b

Counts
151 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(* (cbrt y) (cbrt y))
10.1b
(* (/ x (* (cbrt y) (cbrt y))) (/ (- y z) (cbrt y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
45×*-un-lft-identity
40×times-frac associate-*r*
39×cbrt-prod
33×add-cube-cbrt
27×add-exp-log
18×add-cbrt-cube
13×pow1 associate-*l*
10×unswap-sqr
prod-exp cbrt-unprod
pow1/3
cbrt-undiv div-exp
swap-sqr distribute-lft-out-- difference-of-squares
add-log-exp
pow-prod-down
pow-sqr *-commutative pow-prod-up div-inv
pow2 frac-times pow-plus associate-*r/ associate-*l/
Counts
4 → 133
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
5.0ms
(* (cbrt y) (cbrt y))
21.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (- y z) (cbrt y)))

series81.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt y)
21.0ms
(cbrt y)
24.0ms
(* (cbrt y) (cbrt y))
14.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ (- y z) (cbrt y)))

simplify77.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05701093
13092971
25001895

prune104.0ms

Filtered
94 candidates to 145 candidates (-54.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1450145
Fresh033
Picked011
Done022
Total1456151

Merged error: 0b

Counts
151 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

12.8b
(* (/ x y) (- y z))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
add-cube-cbrt
add-exp-log add-cbrt-cube
associate-*r*
pow1
distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
8.0ms
(* (/ x y) (- y z))

series9.0ms

Counts
1 → 3
Calls
1 calls:
9.0ms
(* (/ x y) (- y z))

simplify85.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0241221
1985200
24257192
35003192

prune32.0ms

Filtered
30 candidates to 45 candidates (-50.0%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New45045
Fresh022
Picked011
Done033
Total45651

Merged error: 0b

Counts
51 → 6

regimes292.0ms

Accuracy

84.9% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.9b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
02427
12727
23318
33618
44218
55318
66018
76118
86118

end0.0ms

sample553.0ms

Algorithm
intervals
Results
235.0ms9524×body80valid

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