Details

Time bar (total: 3.6s)

sample17.0ms

Algorithm
intervals
Results
8.0ms325×body80valid

simplify28.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3494
4574
5694
6904
71274
81764
93044
104394
114494
124494

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) y)
0.0b
(+ (* (- 1.0 x) y) (* x z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
22.0ms
(* (- 1.0 x) y)
14.0ms
(+ (* (- 1.0 x) y) (* x z))

series54.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* (- 1.0 x) y)
29.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify121.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0184181
1787167
24082166
35001166

prune112.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
3.4b
(* (- (* 1.0 1.0) (* x x)) y)
7.4b
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*l* associate-*l/ associate-/r*
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/ distribute-lft-out
1×+-commutative frac-2neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
37.0ms
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
26.0ms
(* (- (* 1.0 1.0) (* x x)) y)
23.0ms
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series131.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
33.0ms
(* (- (* 1.0 1.0) (* x x)) y)
49.0ms
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify52.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0366532
11790470
25001461

prune241.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ 1.0 x))
0.0b
(+ (* (- (* 1.0 1.0) (* x x)) (/ y (+ 1.0 x))) (* x z))
11.4b
(* (- (* 1.0 1.0) (* x x)) (/ y (+ 1.0 x)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×pow1 add-log-exp
4×associate-*l* associate-/r* associate-/r/
3×flip3-+ flip-+ associate-/l*
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative difference-of-squares
Counts
3 → 86
Calls
3 calls:
10.0ms
(/ y (+ 1.0 x))
23.0ms
(+ (* (- (* 1.0 1.0) (* x x)) (/ y (+ 1.0 x))) (* x z))
48.0ms
(* (- (* 1.0 1.0) (* x x)) (/ y (+ 1.0 x)))

series135.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ y (+ 1.0 x))
50.0ms
(+ (* (- (* 1.0 1.0) (* x x)) (/ y (+ 1.0 x))) (* x z))
53.0ms
(* (- (* 1.0 1.0) (* x x)) (/ y (+ 1.0 x)))

simplify63.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0433711
12108656
25003645

prune335.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

5.7b
(* (cbrt (- (* 1.0 1.0) (* x x))) (/ y (+ 1.0 x)))
9.5b
(cbrt (- (* 1.0 1.0) (* x x)))
9.5b
(cbrt (- (* 1.0 1.0) (* x x)))
9.5b
(cbrt (- (* 1.0 1.0) (* x x)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
23×*-un-lft-identity
18×cbrt-prod associate-*r*
17×add-cube-cbrt
14×times-frac
10×cbrt-div
9×add-exp-log
7×associate-*l* add-cbrt-cube
6×pow1
5×flip3-- flip--
4×add-log-exp difference-of-squares unswap-sqr
3×pow1/3 distribute-lft-out
2×frac-times associate-*l/ prod-exp associate-/r/ cbrt-unprod
1×cbrt-undiv flip3-+ associate-*r/ div-exp pow-prod-down *-commutative flip-+ div-inv
Counts
4 → 89
Calls
4 calls:
48.0ms
(* (cbrt (- (* 1.0 1.0) (* x x))) (/ y (+ 1.0 x)))
5.0ms
(cbrt (- (* 1.0 1.0) (* x x)))
5.0ms
(cbrt (- (* 1.0 1.0) (* x x)))
6.0ms
(cbrt (- (* 1.0 1.0) (* x x)))

series641.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (cbrt (- (* 1.0 1.0) (* x x))) (/ y (+ 1.0 x)))
175.0ms
(cbrt (- (* 1.0 1.0) (* x x)))
167.0ms
(cbrt (- (* 1.0 1.0) (* x x)))
168.0ms
(cbrt (- (* 1.0 1.0) (* x x)))

simplify59.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05051111
119661054
250011045

prune788.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes84.0ms

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
0114
1114

end0.0ms

sample445.0ms

Algorithm
intervals
Results
245.0ms10173×body80valid