Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

360×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	20	4
2	39	4
3	47	4
4	47	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (+ (* x y) z) y) t)
0.0b	(+ (* x y) z)
0.1b	(* (+ (* x y) z) y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

6.0ms	(+ (* (+ (* x y) z) y) t)
4.0ms	(+ (* x y) z)
6.0ms	(* (+ (* x y) z) y)

series112.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (* (+ (* x y) z) y) t)
21.0ms	(+ (* x y) z)
36.0ms	(* (+ (* x y) z) y)

simplify102.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	208	263
1	742	237
2	4187	233
3	5002	233

prune88.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	5	52

Merged error: 0.0b

Counts

52 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
0.5b	(cbrt (+ (* x y) z))
0.5b	(cbrt (+ (* x y) z))
0.5b	(cbrt (+ (* x y) z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (+ (* x y) z))

series426.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
101.0ms	(cbrt (+ (* x y) z))
101.0ms	(cbrt (+ (* x y) z))
103.0ms	(cbrt (+ (* x y) z))

simplify135.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	267	831
1	930	778
2	4394	715
3	5001	710

prune229.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x y) (* x y))
0.7b	(- (* (* x y) (* x y)) (* z z))
7.3b	(* (- (* (* x y) (* x y)) (* z z)) y)
16.6b	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
18×	`pow-prod-down`
10×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`associate-l`
4×	`flip3--` `associate-r` `associate-*l/` `pow-sqr` `pow-prod-up` `flip--`
3×	`times-frac` `associate-/r*`
2×	`cbrt-undiv` `pow-plus` `div-exp` `associate-/r/` `*-commutative` `associate-/l/` `difference-of-squares`
1×	`pow2` `sub-neg` `frac-2neg` `diff-log` `swap-sqr` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

6.0ms	(* (* x y) (* x y))
6.0ms	(- (* (* x y) (* x y)) (* z z))
12.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
12.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

series229.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x y) (* x y))
58.0ms	(- (* (* x y) (* x y)) (* z z))
76.0ms	(* (- (* (* x y) (* x y)) (* z z)) y)
64.0ms	(/ (* (- (* (* x y) (* x y)) (* z z)) y) (- (* x y) z))

simplify63.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	370	731
1	2117	610
2	5001	610

prune157.0ms

Filtered

105 candidates to 61 candidates (58.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	2	2
Picked	0	1	1
Done	1	1	2
Total	105	5	110

Merged error: 0b

Counts

110 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x (pow y 2)) (* z y)) t)
0.0b	(+ (* x (pow y 2)) (* z y))
6.1b	(* x (pow y 2))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`add-exp-log` `-un-lft-identity` `associate-r*`
6×	`add-cube-cbrt`
5×	`add-cbrt-cube`
4×	`unpow-prod-down` `sum-log` `unswap-sqr`
3×	`pow1` `associate-l` `prod-exp`
2×	`+-commutative` `flip3-+` `flip-+` `unpow2` `sqr-pow`
1×	`pow-to-exp` `associate-+l+` `pow-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out`

Counts

3 → 52

Calls

3 calls:

6.0ms	(+ (+ (* x (pow y 2)) (* z y)) t)
4.0ms	(+ (* x (pow y 2)) (* z y))
5.0ms	(* x (pow y 2))

series132.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (+ (* x (pow y 2)) (* z y)) t)
39.0ms	(+ (* x (pow y 2)) (* z y))
33.0ms	(* x (pow y 2))

simplify35.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	252	316
1	1001	293
2	5002	287

prune104.0ms

Filtered

61 candidates to 43 candidates (70.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	61	5	66

Merged error: 0b

Counts

66 → 5

regimes131.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample541.0ms

Algorithm

intervals

Results

276.0ms

11194×

body

valid