Details

Time bar (total: 3.3s)

sample20.0ms

Algorithm
intervals
Results
9.0ms329×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.0b
(* (/ x y) z)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg flip3-- frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative frac-sub flip-- flip-+ sub-div
Counts
3 → 79
Calls
3 calls:
8.0ms
(/ (+ x 4.0) y)
28.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
7.0ms
(* (/ x y) z)

series91.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (+ x 4.0) y)
44.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
20.0ms
(* (/ x y) z)

simplify112.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0341425
11212395
24978394
35002394

prune210.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×associate-*l*
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 82
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
39.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series567.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
172.0ms
(cbrt x)
195.0ms
(cbrt x)
21.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify67.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0406967
12218639
25001524

prune226.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.2b
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
5×pow1 sqrt-prod
4×add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
2×rem-sqrt-square times-frac
1×sqrt-pow1 pow1/2 sqrt-div div-inv
Counts
4 → 50
Calls
4 calls:
1.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)
6.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
171.0ms
(cbrt x)
174.0ms
(cbrt x)
59.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify72.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 4 (68.0ms)

IterNodesCost
0113280
1245258
2727252
32887247
45001228

prune251.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
3.0b
(* (/ x y) z)

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube add-log-exp
5×associate-*l/
4×pow1 frac-sub
3×associate-*r*
2×diff-log frac-add prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- flip3-+ associate-*r/ div-exp pow-prod-down associate--l+ sum-log un-div-inv *-commutative flip-- flip-+ div-inv
Counts
2 → 50
Calls
2 calls:
65.0ms
(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
7.0ms
(* (/ x y) z)

series64.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
23.0ms
(* (/ x y) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0329377
11379335
25002315

prune133.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes82.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02322
12322

end0.0ms

sample490.0ms

Algorithm
intervals
Results
289.0ms10198×body80valid