Details

Time bar (total: 2.4s)

sample24.0ms

Algorithm
intervals
Results
8.0ms321×body80valid

simplify25.0ms

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

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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))

rewrite13.0ms

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)
7.0ms
(+ (* (- 1.0 x) y) (* x z))

series12.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- 1.0 x) y)
8.0ms
(+ (* (- 1.0 x) y) (* x z))

simplify95.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0184181
1787167
24082166
35001166

prune93.0ms

Filtered
39 candidates to 29 candidates (25.6%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity associate-*l*
10×pow1 add-exp-log associate-*l/ add-cbrt-cube
8×sqrt-prod
6×add-cube-cbrt
5×add-log-exp
4×frac-times flip3-- flip3-+ associate-*r* pow-prod-down prod-exp flip-- cbrt-unprod flip-+ difference-of-squares
2×associate-*r/ *-commutative distribute-lft-out distribute-lft-out--
1×+-commutative sum-log unswap-sqr
Counts
3 → 65
Calls
3 calls:
15.0ms
(+ (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y)) (* x z))
9.0ms
(* (- (sqrt 1.0) (sqrt x)) y)
17.0ms
(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y))

series55.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y)) (* x z))
10.0ms
(* (- (sqrt 1.0) (sqrt x)) y)
26.0ms
(* (+ (sqrt 1.0) (sqrt x)) (* (- (sqrt 1.0) (sqrt x)) y))

simplify62.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0486739
12344582
25003564

prune309.0ms

Filtered
74 candidates to 56 candidates (24.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New74074
Fresh022
Picked011
Done011
Total74478

Merged error: 0.0b

Counts
78 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (- 1.0 x) (sqrt y)) (sqrt y)) (* x z))
0.0b
(* (- 1.0 x) (sqrt y))
0.2b
(* (* (- 1.0 x) (sqrt y)) (sqrt y))

rewrite30.0ms

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:
10.0ms
(+ (* (* (- 1.0 x) (sqrt y)) (sqrt y)) (* x z))
8.0ms
(* (- 1.0 x) (sqrt y))
9.0ms
(* (* (- 1.0 x) (sqrt y)) (sqrt y))

series35.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(+ (* (* (- 1.0 x) (sqrt y)) (sqrt y)) (* x z))
9.0ms
(* (- 1.0 x) (sqrt y))
9.0ms
(* (* (- 1.0 x) (sqrt y)) (sqrt y))

simplify44.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0349434
11480371
25001361

prune211.0ms

Filtered
69 candidates to 47 candidates (31.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh011
Picked011
Done022
Total69473

Merged error: 0.0b

Counts
73 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- 1.0 x))
0.0b
(+ (* x z) (* y (- 1.0 x)))
0.2b
(pow (+ (* x z) (* y (- 1.0 x))) 3)
39.4b
(cbrt (pow (+ (* x z) (* y (- 1.0 x))) 3))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
12×cbrt-prod add-cube-cbrt
7×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod add-log-exp
5×associate-*r*
4×cube-div distribute-rgt-in sub-neg associate-+r+ distribute-lft-in
3×pow-unpow flip3-+ associate-*l* flip-+
2×cube-mult cbrt-div unpow3 associate-*r/ sqr-pow
1×+-commutative pow-to-exp flip3-- pow-pow pow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative flip-- rem-cbrt-cube cbrt-unprod distribute-lft-out-- rem-cube-cbrt difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
6.0ms
(* y (- 1.0 x))
4.0ms
(+ (* x z) (* y (- 1.0 x)))
4.0ms
(pow (+ (* x z) (* y (- 1.0 x))) 3)
4.0ms
(cbrt (pow (+ (* x z) (* y (- 1.0 x))) 3))

series47.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* y (- 1.0 x))
8.0ms
(+ (* x z) (* y (- 1.0 x)))
26.0ms
(pow (+ (* x z) (* y (- 1.0 x))) 3)
8.0ms
(cbrt (pow (+ (* x z) (* y (- 1.0 x))) 3))

simplify60.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0336639
11712603
25001597

prune292.0ms

Filtered
101 candidates to 58 candidates (42.6%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1001101
Fresh000
Picked011
Done033
Total1005105

Merged error: 0b

Counts
105 → 5

regimes250.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0114
1114

end0.0ms

sample612.0ms

Algorithm
intervals
Results
268.0ms10242×body80valid

Profiling

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