Details

Time bar (total: 2.3s)

sample32.0ms

Algorithm
intervals
Results
16.0ms313×body80valid

simplify107.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (47.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 0.75 (/ (- x z) y))
0.0b
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
0.0b
(/ (- x z) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
21×add-sqr-sqrt
15×times-frac
13×add-cube-cbrt
7×add-log-exp
5×add-exp-log add-cbrt-cube associate-/l*
4×distribute-lft-out-- difference-of-squares
3×pow1 associate-/r*
2×+-commutative associate-+r+ flip3-+ div-sub sum-log flip-+ associate-/l/
1×cbrt-undiv distribute-rgt-in associate-+r- flip3-- frac-2neg distribute-lft-in div-exp clear-num flip-- div-inv distribute-lft-out
Counts
3 → 64
Calls
3 calls:
10.0ms
(+ 0.75 (/ (- x z) y))
3.0ms
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
7.0ms
(/ (- x z) y)

series87.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ 0.75 (/ (- x z) y))
31.0ms
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
33.0ms
(/ (- x z) y)

simplify45.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0325399
11056367
25001367

prune153.0ms

Filtered
73 candidates to 53 candidates (72.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New72173
Fresh011
Picked011
Done000
Total72375

Merged error: 0.0b

Counts
75 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ x (* y 0.75)) z)
0.0b
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
0.0b
(+ x (* y 0.75))
0.3b
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt
4×pow1
3×times-frac associate-/r* sum-log
2×cbrt-undiv +-commutative flip3-- flip3-+ diff-log associate-*r/ div-exp flip-- flip-+ associate-/l/
1×sub-neg frac-2neg prod-exp associate--l+ clear-num cbrt-unprod div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 62
Calls
4 calls:
6.0ms
(- (+ x (* y 0.75)) z)
6.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
3.0ms
(+ x (* y 0.75))
9.0ms
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

series123.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (+ x (* y 0.75)) z)
28.0ms
(+ 1.0 (/ (* 4.0 (- (+ x (* y 0.75)) z)) y))
30.0ms
(+ x (* y 0.75))
42.0ms
(/ (* 4.0 (- (+ x (* y 0.75)) z)) y)

simplify51.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0352474
11391432
25002426

prune159.0ms

Filtered
74 candidates to 54 candidates (73.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New72274
Fresh101
Picked101
Done011
Total74377

Merged error: 0.0b

Counts
77 → 3

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (+ (/ x y) 1) (/ z y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity add-log-exp
2×diff-log frac-sub distribute-lft-out-- difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- flip3-+ times-frac associate--l+ sum-log add-cbrt-cube flip-- flip-+ distribute-lft-out
Counts
1 → 20
Calls
1 calls:
13.0ms
(- (+ (/ x y) 1) (/ z y))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(- (+ (/ x y) 1) (/ z y))

simplify65.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0160178
1619167
22188162
35001161

prune50.0ms

Filtered
23 candidates to 15 candidates (65.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New22123
Fresh101
Picked011
Done011
Total23326

Merged error: 0.0b

Counts
26 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* y (+ (/ x y) 1))
0.1b
(* (- (/ x y) 1) (- (* y (+ (/ x y) 1)) z))
0.1b
(* (- (/ x y) 1) y)
9.8b
(/ (* (- (/ x y) 1) (- (* y (+ (/ x y) 1)) z)) (* (- (/ x y) 1) y))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
23×associate-*l*
22×add-exp-log add-cbrt-cube
20×*-un-lft-identity
14×flip3-- flip--
10×pow1 add-cube-cbrt associate-*r*
8×frac-times associate-*l/ associate-/l/ difference-of-squares
7×distribute-rgt-in distribute-lft-in times-frac prod-exp cbrt-unprod
6×associate-*r/
4×cbrt-undiv difference-of-sqr-1 div-exp associate--l+ add-log-exp
3×pow-prod-down *-commutative unswap-sqr
2×sub-neg associate-/r/ distribute-lft-out--
1×frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv distribute-lft-out associate-/l*
Counts
4 → 122
Calls
4 calls:
16.0ms
(* y (+ (/ x y) 1))
22.0ms
(* (- (/ x y) 1) (- (* y (+ (/ x y) 1)) z))
11.0ms
(* (- (/ x y) 1) y)
32.0ms
(/ (* (- (/ x y) 1) (- (* y (+ (/ x y) 1)) z)) (* (- (/ x y) 1) y))

series135.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* y (+ (/ x y) 1))
46.0ms
(* (- (/ x y) 1) (- (* y (+ (/ x y) 1)) z))
31.0ms
(* (- (/ x y) 1) y)
28.0ms
(/ (* (- (/ x y) 1) (- (* y (+ (/ x y) 1)) z)) (* (- (/ x y) 1) y))

simplify125.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
05861213
13824970
25002960

prune300.0ms

Filtered
134 candidates to 89 candidates (66.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done022
Total1343137

Merged error: 0.0b

Counts
137 → 3

regimes56.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

sample556.0ms

Algorithm
intervals
Results
341.0ms10167×body80valid