Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

352×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	10	3

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 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+ (* x y) (* z t))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(+ (* x y) (* z t))

simplify118.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	100	74
1	363	67
2	1051	67
3	2931	67
4	5001	67

prune32.0ms

Filtered

14 candidates to 12 candidates (85.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0.0b

Counts

15 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))

rewrite24.0ms

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 t))) (cbrt (+ (* x y) (* z t))))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (+ (* x y) (* z t)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
103.0ms	(cbrt (+ (* x y) (* z t)))
106.0ms	(cbrt (+ (* x y) (* z t)))
107.0ms	(cbrt (+ (* x y) (* z t)))

simplify92.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	314	1055
1	1035	988
2	3734	912
3	5002	903

prune232.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (- (* x y) (* z t)))
2.3b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
28.8b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 53

Calls

4 calls:

3.0ms	(cbrt (+ (* x y) (* z t)))
3.0ms	(cbrt (- (* x y) (* z t)))
6.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
6.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series429.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (+ (* x y) (* z t)))
109.0ms	(cbrt (- (* x y) (* z t)))
105.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
112.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify51.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	372	679
1	1329	621
2	5001	600

prune229.0ms

Filtered

65 candidates to 58 candidates (89.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	65	4	69

Merged error: 0b

Counts

69 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* t z) (* x y))
0.2b	(pow (+ (* t z) (* x y)) 3)
38.9b	(cbrt (pow (+ (* t z) (* x y)) 3))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `sum-log` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

3.0ms	(+ (* t z) (* x y))
4.0ms	(pow (+ (* t z) (* x y)) 3)
4.0ms	(cbrt (pow (+ (* t z) (* x y)) 3))

series200.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* t z) (* x y))
133.0ms	(pow (+ (* t z) (* x y)) 3)
34.0ms	(cbrt (pow (+ (* t z) (* x y)) 3))

simplify49.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	260	431
1	1255	410
2	5001	402

prune114.0ms

Filtered

68 candidates to 41 candidates (60.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	68	4	72

Merged error: 0b

Counts

72 → 4

regimes151.0ms

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	10	3
1	10	3

end0.0ms

sample511.0ms

Algorithm

intervals

Results

250.0ms

10497×

body

valid