Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
10.0ms328×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 7 (38.0ms)

IterNodesCost
0226
1466
21116
32376
44056
55956
69196
726275
850015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

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:
2.0ms
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
16.0ms
(+ 0.75 (/ (- x z) y))
7.0ms
(/ (- x z) y)

series70.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ 1.0 (* 4.0 (+ 0.75 (/ (- x z) y))))
15.0ms
(+ 0.75 (/ (- x z) y))
27.0ms
(/ (- x z) y)

simplify39.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0325399
11056367
25001367

prune151.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l*
3×associate-*r/ associate-*l* associate-/r* sum-log
2×cbrt-undiv flip3-+ div-exp frac-add prod-exp cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×+-commutative associate-+l+ flip3-- frac-2neg div-sub pow-prod-down clear-num *-commutative flip--
Counts
3 → 91
Calls
3 calls:
9.0ms
(+ (+ 1.0 (* 0.75 4.0)) (* 4.0 (/ (- x z) y)))
7.0ms
(/ (- x z) y)
14.0ms
(* 4.0 (/ (- x z) y))

series101.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(+ (+ 1.0 (* 0.75 4.0)) (* 4.0 (/ (- x z) y)))
26.0ms
(/ (- x z) y)
46.0ms
(* 4.0 (/ (- x z) y))

simplify58.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0432579
11983532
25002531

prune223.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (+ (pow 1.0 3) (pow (* 0.75 4.0) 3)) y) (* (+ (* 1.0 1.0) (- (* (* 0.75 4.0) (* 0.75 4.0)) (* 1.0 (* 0.75 4.0)))) (* 4.0 (- x z))))
0.0b
(* (+ (* 1.0 1.0) (- (* (* 0.75 4.0) (* 0.75 4.0)) (* 1.0 (* 0.75 4.0)))) (* 4.0 (- x z)))
0.2b
(/ (+ (* (+ (pow 1.0 3) (pow (* 0.75 4.0) 3)) y) (* (+ (* 1.0 1.0) (- (* (* 0.75 4.0) (* 0.75 4.0)) (* 1.0 (* 0.75 4.0)))) (* 4.0 (- x z)))) (* y (+ (* (* 0.75 4.0) (- (* 0.75 4.0) 1.0)) (* 1.0 1.0))))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*r/ associate-*l/
34×flip3-+ flip-+
32×frac-add
20×frac-times
18×associate-/l/
16×distribute-rgt-in distribute-lft-in
15×flip3-- flip--
13×add-exp-log add-cbrt-cube
8×pow1 sub-neg associate-+r+
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv div-exp associate-/r/
1×+-commutative frac-2neg associate-*r* clear-num associate-/r* sum-log *-commutative div-inv
Counts
3 → 110
Calls
3 calls:
18.0ms
(+ (* (+ (pow 1.0 3) (pow (* 0.75 4.0) 3)) y) (* (+ (* 1.0 1.0) (- (* (* 0.75 4.0) (* 0.75 4.0)) (* 1.0 (* 0.75 4.0)))) (* 4.0 (- x z))))
111.0ms
(* (+ (* 1.0 1.0) (- (* (* 0.75 4.0) (* 0.75 4.0)) (* 1.0 (* 0.75 4.0)))) (* 4.0 (- x z)))
57.0ms
(/ (+ (* (+ (pow 1.0 3) (pow (* 0.75 4.0) 3)) y) (* (+ (* 1.0 1.0) (- (* (* 0.75 4.0) (* 0.75 4.0)) (* 1.0 (* 0.75 4.0)))) (* 4.0 (- x z)))) (* y (+ (* (* 0.75 4.0) (- (* 0.75 4.0) 1.0)) (* 1.0 1.0))))

series163.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (* (+ (pow 1.0 3) (pow (* 0.75 4.0) 3)) y) (* (+ (* 1.0 1.0) (- (* (* 0.75 4.0) (* 0.75 4.0)) (* 1.0 (* 0.75 4.0)))) (* 4.0 (- x z))))
43.0ms
(* (+ (* 1.0 1.0) (- (* (* 0.75 4.0) (* 0.75 4.0)) (* 1.0 (* 0.75 4.0)))) (* 4.0 (- x z)))
74.0ms
(/ (+ (* (+ (pow 1.0 3) (pow (* 0.75 4.0) 3)) y) (* (+ (* 1.0 1.0) (- (* (* 0.75 4.0) (* 0.75 4.0)) (* 1.0 (* 0.75 4.0)))) (* 4.0 (- x z)))) (* y (+ (* (* 0.75 4.0) (- (* 0.75 4.0) 1.0)) (* 1.0 1.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09963461
150013211

prune631.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes48.0ms

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
0166
1166

end0.0ms

sample514.0ms

Algorithm
intervals
Results
311.0ms10113×body80valid