Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

337×

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

localize5.0ms

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:

3.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify120.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

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

prune29.0ms

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))))
1.8b	(cbrt (+ (* x y) (* z t)))
1.8b	(cbrt (+ (* x y) (* z t)))
1.8b	(cbrt (+ (* x y) (* z t)))

rewrite23.0ms

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:

10.0ms	(* (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)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
107.0ms	(cbrt (+ (* x y) (* z t)))
105.0ms	(cbrt (+ (* x y) (* z t)))
113.0ms	(cbrt (+ (* x y) (* z t)))

simplify94.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	314	1055
1	1035	988
2	3734	912
3	5002	900

prune247.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0.0b

Counts

102 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt (+ (* x y) (* z t)))
1.8b	(cbrt (+ (* x y) (* z t)))
1.8b	(cbrt (+ (* x y) (* z t)))
1.8b	(cbrt (+ (* x y) (* z t)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series435.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (+ (* x y) (* z t)))
113.0ms	(cbrt (+ (* x y) (* z t)))
106.0ms	(cbrt (+ (* x y) (* z t)))
108.0ms	(cbrt (+ (* x y) (* z t)))

simplify92.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (85.0ms)

Iter	Nodes	Cost
0	179	560
1	466	524
2	1245	500
3	3042	492
4	5001	484

prune229.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

1.8b	(cbrt (+ (* x y) (* z t)))
1.8b	(cbrt (- (* x y) (* z t)))
2.2b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
25.5b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite25.0ms

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)))
10.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
7.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series449.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(cbrt (+ (* x y) (* z t)))
119.0ms	(cbrt (- (* x y) (* z t)))
107.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
114.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	372	679
1	1329	621
2	5002	600

prune240.0ms

Filtered

65 candidates to 58 candidates (89.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	65	4	69

Merged error: 0.0b

Counts

69 → 4

regimes159.0ms

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

sample550.0ms

Algorithm

intervals

Results

295.0ms

10461×

body

valid

Details

sample20.0ms

simplify4.0ms

prune2.0ms

localize5.0ms

rewrite4.0ms

series38.0ms

simplify120.0ms

prune29.0ms

localize10.0ms

rewrite23.0ms

series457.0ms

simplify94.0ms

prune247.0ms

localize15.0ms

rewrite15.0ms

series435.0ms

simplify92.0ms

prune229.0ms

localize18.0ms

rewrite25.0ms

series449.0ms

simplify54.0ms

prune240.0ms

regimes159.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample550.0ms

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