Details

Time bar (total: 2.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms329×body80valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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))

rewrite16.0ms

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:
10.0ms
(* (- 1.0 x) y)
5.0ms
(+ (* (- 1.0 x) y) (* x z))

series65.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (- 1.0 x) y)
33.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify106.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0184181
1787167
24082166
35001166

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
2.8b
(* (- (* 1.0 1.0) (* x x)) y)
6.7b
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite41.0ms

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:
20.0ms
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
10.0ms
(* (- (* 1.0 1.0) (* x x)) y)
9.0ms
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series153.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
39.0ms
(* (- (* 1.0 1.0) (* x x)) y)
56.0ms
(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify59.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0366532
11790470
25001461

prune154.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1.0 x))
0.3b
(cbrt (+ 1.0 x))
3.5b
(* (/ (- (* 1.0 1.0) (* x x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ y (cbrt (+ 1.0 x))))
4.7b
(/ (- (* 1.0 1.0) (* x x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
36×times-frac
34×*-un-lft-identity
30×add-exp-log cbrt-div
27×associate-*r*
24×add-cube-cbrt
22×cbrt-prod
21×add-cbrt-cube
18×associate-/r/
16×associate-*l*
15×flip3-+ flip-+
9×cbrt-undiv frac-times div-exp prod-exp cbrt-unprod
6×pow1 unswap-sqr
5×associate-*r/ associate-*l/ distribute-lft-out
4×associate-/l* add-log-exp
3×div-inv difference-of-squares
2×pow1/3 associate-/l/
1×flip3-- frac-2neg div-sub pow-prod-down clear-num associate-/r* *-commutative flip--
Counts
4 → 135
Calls
4 calls:
2.0ms
(cbrt (+ 1.0 x))
2.0ms
(cbrt (+ 1.0 x))
62.0ms
(* (/ (- (* 1.0 1.0) (* x x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ y (cbrt (+ 1.0 x))))
14.0ms
(/ (- (* 1.0 1.0) (* x x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))

series374.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (+ 1.0 x))
87.0ms
(cbrt (+ 1.0 x))
56.0ms
(* (/ (- (* 1.0 1.0) (* x x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))) (/ y (cbrt (+ 1.0 x))))
144.0ms
(/ (- (* 1.0 1.0) (* x x)) (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x))))

simplify97.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
08051902
134051682
250011614

prune455.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
0.0b
(* (sqrt (- 1.0 x)) y)
0.1b
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt associate-*l*
14×sqrt-div
12×*-un-lft-identity
11×sqrt-prod
10×pow1 add-exp-log associate-*l/ add-cbrt-cube
8×add-cube-cbrt
7×flip3-- flip--
5×add-log-exp
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 68
Calls
3 calls:
21.0ms
(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
11.0ms
(* (sqrt (- 1.0 x)) y)
25.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

series152.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y)) (* x z))
90.0ms
(* (sqrt (- 1.0 x)) y)
29.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0359552
11275471
25001461

prune166.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes90.0ms

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

sample433.0ms

Algorithm
intervals
Results
228.0ms10128×body80valid