Details

Time bar (total: 2.6s)

sample26.0ms

Algorithm
intervals
Results
16.0ms330×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0114
1184
2324
3474
4574
5754
61094
71784
83974
913694
1050014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (* y (- z x)))
10.2b
(/ (+ x (* y (- z x))) z)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
9×times-frac
7×add-exp-log add-cbrt-cube
5×pow1 associate-*r* add-log-exp
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×associate-*l* associate-/r* associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative flip-- cbrt-unprod div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
9.0ms
(* y (- z x))
3.0ms
(+ x (* y (- z x)))
8.0ms
(/ (+ x (* y (- z x))) z)

series111.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* y (- z x))
28.0ms
(+ x (* y (- z x)))
46.0ms
(/ (+ x (* y (- z x))) z)

simplify117.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0259420
11042388
24784388
35002388

prune145.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (/ (* x y) z))
8.6b
(/ (* x y) z)

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt
5×add-cube-cbrt
3×pow1 times-frac associate-/r*
2×cbrt-undiv flip3-+ diff-log div-exp sum-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod div-inv associate-/l* difference-of-squares
Counts
3 → 52
Calls
3 calls:
9.0ms
(+ (/ x z) y)
66.0ms
(- (+ (/ x z) y) (/ (* x y) z))
3.0ms
(/ (* x y) z)

series69.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(+ (/ x z) y)
28.0ms
(- (+ (/ x z) y) (/ (* x y) z))
20.0ms
(/ (* x y) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0253328
11102308
25001304

prune114.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x z) y)
0.0b
(- (+ (/ x z) y) (* (/ x z) y))
3.7b
(* (/ x z) y)

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
11×add-cube-cbrt
10×times-frac add-log-exp
8×add-exp-log add-cbrt-cube
5×pow1
3×associate-*r* associate-*l/
2×flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg flip3-- div-exp pow-prod-down associate--l+ *-commutative flip-- div-inv distribute-lft-out
Counts
3 → 60
Calls
3 calls:
8.0ms
(+ (/ x z) y)
64.0ms
(- (+ (/ x z) y) (* (/ x z) y))
8.0ms
(* (/ x z) y)

series70.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (/ x z) y)
28.0ms
(- (+ (/ x z) y) (* (/ x z) y))
23.0ms
(* (/ x z) y)

simplify40.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0283342
11146327
25001320

prune134.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ x (sqrt z))
0.1b
(/ 1 (sqrt z))
1.0b
(* (/ 1 (sqrt z)) (* (/ x (sqrt z)) y))
1.8b
(* (/ x (sqrt z)) y)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
69×add-sqr-sqrt
61×add-cube-cbrt *-un-lft-identity
54×add-exp-log
44×associate-*l*
43×sqrt-prod
34×add-cbrt-cube
22×prod-exp
14×div-exp
13×pow1
12×associate-/r* cbrt-unprod
8×cbrt-undiv
6×associate-/l*
4×rec-exp 1-exp associate-*r* pow-prod-down associate-*l/ div-inv add-log-exp
3×pow-flip unswap-sqr
2×frac-2neg clear-num *-commutative
1×frac-times sqrt-pow1 pow1/2 associate-*r/ inv-pow
Counts
4 → 180
Calls
4 calls:
3.0ms
(/ x (sqrt z))
3.0ms
(/ 1 (sqrt z))
27.0ms
(* (/ 1 (sqrt z)) (* (/ x (sqrt z)) y))
11.0ms
(* (/ x (sqrt z)) y)

series159.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ x (sqrt z))
28.0ms
(/ 1 (sqrt z))
37.0ms
(* (/ 1 (sqrt z)) (* (/ x (sqrt z)) y))
48.0ms
(* (/ x (sqrt z)) y)

simplify84.0ms

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06651172
13475964
25003855

prune400.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095
195

end0.0ms

sample689.0ms

Algorithm
intervals
Results
476.0ms10100×body80valid