Details

Time bar (total: 3.4s)

sample36.0ms

Algorithm
intervals
Results
24.0ms335×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0166
1296
2386
3456
4516
5546
6546

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

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)
2.7b
(* (/ x y) z)

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-exp-log add-cbrt-cube
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-*r* associate-*l/ associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv 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 → 79
Calls
3 calls:
30.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
8.0ms
(/ (+ x 4.0) y)
8.0ms
(* (/ x y) z)

series92.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
26.0ms
(/ (+ x 4.0) y)
21.0ms
(* (/ x y) z)

simplify115.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0341425
11212395
24978394
35002394

prune193.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
0.0b
(+ (* 4.0 (/ 1 y)) (/ x y))
2.7b
(* (/ x y) z)

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×times-frac add-log-exp
8×add-exp-log add-cbrt-cube
5×pow1 associate-*l/
4×frac-add frac-sub
3×associate-*r*
2×flip3-+ diff-log associate-*r/ prod-exp sum-log un-div-inv cbrt-unprod flip-+ div-inv unswap-sqr
1×cbrt-undiv +-commutative sub-neg distribute-rgt-out flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 64
Calls
3 calls:
70.0ms
(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
8.0ms
(+ (* 4.0 (/ 1 y)) (/ x y))
8.0ms
(* (/ x y) z)

series92.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
29.0ms
(+ (* 4.0 (/ 1 y)) (/ x y))
20.0ms
(* (/ x y) z)

simplify44.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0341472
11450422
25001401

prune317.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (cbrt x) y) z)
3.7b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite42.0ms

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)
11.0ms
(* (/ (cbrt x) y) z)
25.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series508.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt x)
175.0ms
(cbrt x)
114.0ms
(* (/ (cbrt x) y) z)
47.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify63.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0473757
12306591
25001518

prune328.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* 4.0 (/ 1 y)) (/ x y)) (/ (* x z) y))
0.0b
(+ (* 4.0 (/ 1 y)) (/ x y))
7.7b
(/ (* x z) y)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×add-cube-cbrt
4×frac-add frac-sub
3×pow1 times-frac associate-/r*
2×cbrt-undiv flip3-+ diff-log associate-*r/ div-exp sum-log un-div-inv flip-+ div-inv
1×+-commutative sub-neg distribute-rgt-out flip3-- frac-2neg prod-exp associate--l+ clear-num flip-- cbrt-unprod associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 55
Calls
3 calls:
74.0ms
(- (+ (* 4.0 (/ 1 y)) (/ x y)) (/ (* x z) y))
8.0ms
(+ (* 4.0 (/ 1 y)) (/ x y))
3.0ms
(/ (* x z) y)

series88.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (+ (* 4.0 (/ 1 y)) (/ x y)) (/ (* x z) y))
28.0ms
(+ (* 4.0 (/ 1 y)) (/ x y))
19.0ms
(/ (* x z) y)

simplify41.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0307457
11323414
25001398

prune152.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

sample972.0ms

Algorithm
intervals
Results
751.0ms10135×body80valid