Details

Time bar (total: 1.8s)

sample23.0ms

Algorithm
intervals
Results
9.0ms332×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
01349
11349

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:
6.0ms
(* (- 1.0 x) y)
6.0ms
(+ (* (- 1.0 x) y) (* x z))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 x) y)
7.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify26.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
05565345

prune47.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0b

Counts
40 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* y (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
0.0b
(+ (* x x) (* 1.0 x))
1.7b
(* y (- (pow 1.0 3) (pow x 3)))
14.1b
(/ (* y (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×associate-*r*
18×*-un-lft-identity
16×difference-of-squares
12×unpow-prod-down cube-prod
11×add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp sqr-pow
6×pow1
5×distribute-lft-out--
4×associate-*r/
3×flip3-+ times-frac associate-*l* associate-/r* flip-+
2×cbrt-undiv +-commutative distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp sum-log associate-/r/ flip-- cbrt-unprod associate-/l/
1×difference-cubes distribute-rgt-out frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 94
Calls
4 calls:
19.0ms
(+ (/ (* y (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
3.0ms
(+ (* x x) (* 1.0 x))
16.0ms
(* y (- (pow 1.0 3) (pow x 3)))
18.0ms
(/ (* y (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series86.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (/ (* y (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (* x z))
5.0ms
(+ (* x x) (* 1.0 x))
13.0ms
(* y (- (pow 1.0 3) (pow x 3)))
30.0ms
(/ (* y (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify31.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
056121546

prune196.0ms

Filtered
73 candidates to 106 candidates (-45.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done011
Total1064110

Merged error: 0b

Counts
110 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (- 1.0 x) (sqrt y)) (sqrt y)) (* x z))
0.1b
(* (- 1.0 x) (sqrt y))
0.3b
(* (* (- 1.0 x) (sqrt y)) (sqrt y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
9.0ms
(+ (* (* (- 1.0 x) (sqrt y)) (sqrt y)) (* x z))
7.0ms
(* (- 1.0 x) (sqrt y))
9.0ms
(* (* (- 1.0 x) (sqrt y)) (sqrt y))

series24.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (* (* (- 1.0 x) (sqrt y)) (sqrt y)) (* x z))
6.0ms
(* (- 1.0 x) (sqrt y))
5.0ms
(* (* (- 1.0 x) (sqrt y)) (sqrt y))

simplify45.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05648617

prune64.0ms

Filtered
44 candidates to 69 candidates (-56.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh011
Picked011
Done022
Total69473

Merged error: 0b

Counts
73 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

3.8b
(* (- 1.0 x) (* y y))
4.1b
(* x (* x (* z z)))
9.1b
(* x (* z z))
26.9b
(/ (- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z)))) (- (* (- 1.0 x) y) (* x z)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
23×pow1
19×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt
12×pow-prod-down prod-exp cbrt-unprod
11×associate-*l*
9×times-frac
4×add-log-exp
3×flip3-- associate-*r* associate-/r* *-commutative flip-- associate-/l*
2×associate-*l/ associate-/r/ associate-/l/ unswap-sqr
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
8.0ms
(* (- 1.0 x) (* y y))
7.0ms
(* x (* x (* z z)))
5.0ms
(* x (* z z))
21.0ms
(/ (- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z)))) (- (* (- 1.0 x) y) (* x z)))

series67.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (- 1.0 x) (* y y))
6.0ms
(* x (* x (* z z)))
6.0ms
(* x (* z z))
47.0ms
(/ (- (* (- 1.0 x) (* (- 1.0 x) (* y y))) (* x (* x (* z z)))) (- (* (- 1.0 x) y) (* x z)))

simplify30.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
057621588

prune110.0ms

Filtered
67 candidates to 107 candidates (-59.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1070107
Fresh000
Picked011
Done033
Total1074111

Merged error: 0b

Counts
111 → 4

regimes185.0ms

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
0119
1119

end0.0ms

sample618.0ms

Algorithm
intervals
Results
279.0ms10158×body80valid

Profiling

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