Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
12.0ms315×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2426
3496
4556
5616
6636
7636

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.9b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b
(/ (+ x 4.0) y)
2.4b
(* (/ x y) z)

rewrite27.0ms

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:
11.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
5.0ms
(/ (+ x 4.0) y)
6.0ms
(* (/ x y) z)

series95.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
26.0ms
(/ (+ x 4.0) y)
26.0ms
(* (/ x y) z)

simplify52.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0399743
11422683
25001668

prune290.0ms

Filtered
126 candidates to 89 candidates (70.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1206126
Fresh000
Picked101
Done000
Total1216127

Merged error: 0b

Counts
127 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite28.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 90
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
21.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series548.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt x)
179.0ms
(cbrt x)
174.0ms
(cbrt x)
22.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify63.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04101005
12226677
25002546

prune244.0ms

Filtered
102 candidates to 62 candidates (60.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1020102
Fresh055
Picked011
Done000
Total1026108

Merged error: 0b

Counts
108 → 6

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
2.4b
(* (/ x y) (- 1 z))

rewrite15.0ms

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:
1.0ms
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
11.0ms
(* (/ x y) (- 1 z))

series95.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(fma 4.0 (/ 1 y) (* (/ x y) (- 1 z)))
40.0ms
(* (/ x y) (- 1 z))

simplify43.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0402603
11761405
25002402

prune277.0ms

Filtered
79 candidates to 45 candidates (57.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh044
Picked011
Done011
Total79685

Merged error: 0b

Counts
85 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* x (/ z y)))
5.4b
(* x (/ z y))

rewrite27.0ms

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:
6.0ms
(/ (+ x 4.0) y)
10.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
7.0ms
(* x (/ z y))

series91.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ (+ x 4.0) y)
42.0ms
(- (/ (+ x 4.0) y) (* x (/ z y)))
23.0ms
(* x (/ z y))

simplify54.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0409748
11644688
25001677

prune255.0ms

Filtered
126 candidates to 87 candidates (69.0%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1251126
Fresh123
Picked011
Done022
Total1266132

Merged error: 0b

Counts
132 → 6

regimes83.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01916
11916

end0.0ms

sample604.0ms

Algorithm
intervals
Results
389.0ms10118×body80valid