Details

Time bar (total: 3.3s)

sample18.0ms

Algorithm
intervals
Results
6.0ms314×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0113
1223
2423
3613
4863
5973
63883
729173
850013

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.9b
(/ (* x (- y z)) y)

rewrite39.0ms

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:
22.0ms
(* x (- y z))
16.0ms
(/ (* x (- y z)) y)

series87.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
49.0ms
(/ (* x (- y z)) y)

simplify33.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0219218
11044189
25001189

prune84.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.0b
(/ x (/ y (- y z)))

rewrite33.0ms

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:
11.0ms
(/ y (- y z))
16.0ms
(/ x (/ y (- y z)))

series94.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ y (- y z))
52.0ms
(/ x (/ y (- y z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04721043
122201007
250011004

prune267.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.9b
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (cbrt (- y z)))))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
331×times-frac
222×add-sqr-sqrt
186×*-un-lft-identity
179×cbrt-prod
167×associate-*r*
150×add-cube-cbrt
73×add-exp-log
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
18×distribute-lft-out-- difference-of-squares
12×unswap-sqr
associate-/r/
pow1 cbrt-div
associate-*l* div-inv
add-log-exp
flip3-- pow1/3 flip--
frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 259
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
151.0ms
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (cbrt (- y z)))))

series585.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt y)
170.0ms
(cbrt y)
173.0ms
(cbrt y)
70.0ms
(* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt y) (cbrt y))) (/ x (/ (cbrt y) (cbrt (- y z)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
016974462
150014143

prune805.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
15.0ms
(/ (- y z) y)
29.0ms
(* x (/ (- y z) y))

series85.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ (- y z) y)
49.0ms
(* x (/ (- y z) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0264396
11187365
25001364

prune135.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01315
11315

end0.0ms

sample451.0ms

Algorithm
intervals
Results
192.0ms9538×body80valid