Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

445×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	25	4
2	27	4
3	27	4

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

3.0ms	(+ (* x 2.0) (* x x))
9.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series88.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(+ (* x 2.0) (* x x))
31.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify98.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	182	191
1	887	164
2	3634	160
3	5002	160

prune44.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Merged error: 0.0b

Counts

33 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(+ (* y y) (* x (+ 2.0 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

8.0ms	(* x (+ 2.0 x))
4.0ms	(+ (* y y) (* x (+ 2.0 x)))

series72.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* x (+ 2.0 x))
29.0ms	(+ (* y y) (* x (+ 2.0 x)))

simplify35.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	206	183
1	1038	169
2	5001	169

prune51.0ms

Filtered

42 candidates to 27 candidates (64.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	42	3	45

Merged error: 0b

Counts

45 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y y) (* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x))))
0.3b	(* x (sqrt (+ 2.0 x)))
0.4b	(* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div` `associate-r`
12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`pow1` `add-exp-log` `associate-*r/` `add-cbrt-cube`
9×	`sqrt-prod`
8×	`add-cube-cbrt` `flip3-+` `flip-+`
5×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-l/` `-commutative` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sum-log`

Counts

3 → 66

Calls

3 calls:

4.0ms	(+ (* y y) (* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x))))
7.0ms	(* x (sqrt (+ 2.0 x)))
11.0ms	(* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* y y) (* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x))))
73.0ms	(* x (sqrt (+ 2.0 x)))
42.0ms	(* (* x (sqrt (+ 2.0 x))) (sqrt (+ 2.0 x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	347	545
1	1546	447
2	5001	439

prune106.0ms

Filtered

75 candidates to 47 candidates (62.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	75	3	78

Merged error: 0b

Counts

78 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.1b	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
1.4b	(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
22.4b	(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
27×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
17×	`add-sqr-sqrt`
16×	`associate-*r/`
15×	`add-cube-cbrt`
12×	`times-frac`
9×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+`
8×	`add-log-exp`
6×	`distribute-lft-out`
5×	`associate-r`
4×	`frac-times` `associate-+l+` `distribute-neg-in` `associate-l` `pow-sqr` `pow-prod-up` `associate-/l*`
3×	`associate-/r*`
2×	`neg-sub0` `associate-+l-` `pow-plus` `associate-l/` `sum-log` `associate-/r/` `-commutative` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow2` `flip3--` `frac-2neg` `div-sub` `swap-sqr` `div-exp` `neg-log` `clear-num` `flip--` `div-inv` `unswap-sqr`

Counts

4 → 123

Calls

4 calls:

6.0ms	(* x (+ 2.0 x))
11.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
9.0ms	(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
13.0ms	(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

series277.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* x (+ 2.0 x))
31.0ms	(* (* x (+ 2.0 x)) (* x (+ 2.0 x)))
104.0ms	(+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4))
101.0ms	(/ (+ (- (* (* x (+ 2.0 x)) (* x (+ 2.0 x)))) (pow y 4)) (- (* y y) (* x (+ 2.0 x))))

simplify87.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	525	1318
1	2965	1157
2	5001	1141

prune212.0ms

Filtered

135 candidates to 80 candidates (59.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	135	3	138

Merged error: 0b

Counts

138 → 3

regimes71.0ms

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)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample534.0ms

Algorithm

intervals

Results

326.0ms

14056×

body

valid