Details

Time bar (total: 3.4s)

sample31.0ms

Algorithm
intervals
Results
20.0ms311×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2426
3496
4556
5616
6636
7636

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
4.2b
(* (/ x y) z)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r* associate-*l/ associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 117
Calls
3 calls:
35.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(/ (+ x 4.0) y)
7.0ms
(* (/ x y) z)

series91.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
30.0ms
(/ (+ x 4.0) y)
20.0ms
(* (/ x y) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0399743
11422683
25001668

prune281.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
4.4b
(* x (/ z y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*r*
10×add-exp-log add-cbrt-cube distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-*r/ associate-*l* associate-/r* log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 117
Calls
3 calls:
7.0ms
(/ (+ x 4.0) y)
31.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
7.0ms
(* x (/ z y))

series88.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (+ x 4.0) y)
41.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
22.0ms
(* x (/ z y))

simplify52.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0409748
11644688
25001677

prune279.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.3b
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
23.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

series570.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt y)
175.0ms
(cbrt y)
172.0ms
(cbrt y)
51.0ms
(* (/ x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0424748
12233609
25001570

prune339.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
4.1b
(* (/ x y) (- 1 z))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
25×*-un-lft-identity
22×add-cube-cbrt
18×prod-diff
13×associate-*l*
11×distribute-rgt-in distribute-lft-in
10×times-frac
7×add-exp-log add-cbrt-cube
6×associate-*r*
4×pow1
2×expm1-log1p-u frac-times sub-neg flip3-- associate-*r/ prod-exp flip-- cbrt-unprod log1p-expm1-u add-log-exp difference-of-squares unswap-sqr
1×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative fma-udef div-inv distribute-lft-out--
Counts
2 → 73
Calls
2 calls:
0.0ms
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
20.0ms
(* (/ x y) (- 1 z))

series91.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
38.0ms
(* (/ x y) (- 1 z))

simplify42.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0402603
11761406
25002402

prune148.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511
11511

end0.0ms

sample1.0s

Algorithm
intervals
Results
792.0ms10080×body80valid