Details

Time bar (total: 3.6s)

sample18.0ms

Algorithm
intervals
Results
9.0ms301×body80valid

simplify68.0ms

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: 13.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.8b
(/ (* x (- y z)) y)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×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:
20.0ms
(* x (- y z))
15.0ms
(/ (* x (- y z)) y)

series74.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* x (- y z))
44.0ms
(/ (* x (- y z)) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0219218
11044189
25001189

prune122.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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/
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 → 139
Calls
2 calls:
11.0ms
(/ y (- y z))
16.0ms
(/ x (/ y (- y z)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ y (- y z))
45.0ms
(/ x (/ y (- y z)))

simplify69.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04721043
122201007
250011004

prune460.0ms

Pruning

6 alts after pruning (4 fresh and 2 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))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×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))

series73.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- y z) y)
42.0ms
(* x (/ (- y z) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0264396
11187365
25001364

prune217.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(* x (* (cbrt (/ (- y z) y)) (cbrt (/ (- y z) y))))
3.6b
(cbrt (/ (- y z) y))
3.6b
(cbrt (/ (- y z) y))
3.6b
(cbrt (/ (- y z) y))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
51×add-sqr-sqrt
50×*-un-lft-identity
45×times-frac
32×add-cube-cbrt
9×pow1 add-exp-log distribute-lft-out-- difference-of-squares
7×cbrt-div add-cbrt-cube
4×associate-*r/ add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 106
Calls
4 calls:
53.0ms
(* x (* (cbrt (/ (- y z) y)) (cbrt (/ (- y z) y))))
5.0ms
(cbrt (/ (- y z) y))
5.0ms
(cbrt (/ (- y z) y))
5.0ms
(cbrt (/ (- y z) y))

series785.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(* x (* (cbrt (/ (- y z) y)) (cbrt (/ (- y z) y))))
213.0ms
(cbrt (/ (- y z) y))
210.0ms
(cbrt (/ (- y z) y))
221.0ms
(cbrt (/ (- y z) y))

simplify63.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (54.0ms)

IterNodesCost
0243898
1588839
22136829
35002820

prune635.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes147.0ms

Accuracy

72.9% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
13027
23327
33327

end0.0ms

sample440.0ms

Algorithm
intervals
Results
231.0ms9634×body80valid