Details

Time bar (total: 2.5s)

sample16.0ms

Algorithm
intervals
Results
7.0ms323×body80valid

simplify53.0ms

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: 10.6b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
9.9b
(/ (+ 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:
3.0ms
(+ x (* y (- z x)))
10.0ms
(* y (- z x))
8.0ms
(/ (+ x (* y (- z x))) z)

series111.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ x (* y (- z x)))
34.0ms
(* y (- z x))
46.0ms
(/ (+ x (* y (- z x))) z)

simplify111.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0259420
11042388
24783388
35001388

prune143.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ x z) y) (/ (* x y) z))
0.0b
(+ (/ x z) y)
6.3b
(/ (* x y) z)

rewrite81.0ms

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:
68.0ms
(- (+ (/ x z) y) (/ (* x y) z))
9.0ms
(+ (/ x z) y)
3.0ms
(/ (* x y) z)

series73.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(- (+ (/ x z) y) (/ (* x y) z))
19.0ms
(+ (/ x z) y)
20.0ms
(/ (* x y) z)

simplify34.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0253328
11102308
25001304

prune113.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (/ x z) y) (* (/ x z) y))
0.0b
(+ (/ x z) y)
3.5b
(* (/ x z) y)

rewrite85.0ms

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:
67.0ms
(- (+ (/ x z) y) (* (/ x z) y))
9.0ms
(+ (/ x z) y)
8.0ms
(* (/ x z) y)

series71.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- (+ (/ x z) y) (* (/ x z) y))
18.0ms
(+ (/ x z) y)
24.0ms
(* (/ x z) y)

simplify37.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0283342
11146327
25001320

prune134.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(* (/ (cbrt x) z) y)
3.6b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) y))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×add-cube-cbrt *-un-lft-identity
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-exp
4×associate-*r* pow-prod-down associate-*l/ add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 109
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
13.0ms
(* (/ (cbrt x) z) y)
25.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) y))

series545.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt x)
185.0ms
(cbrt x)
125.0ms
(* (/ (cbrt x) z) y)
46.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) z) y))

simplify65.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0473757
12306591
25001518

prune278.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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

sample442.0ms

Algorithm
intervals
Results
244.0ms10102×body80valid