Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

355×

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

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:

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

series114.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (* x y) z)
60.0ms	(+ (* (+ (* x y) z) y) t)
33.0ms	(* (+ (* x y) z) y)

simplify107.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (25.0ms)

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

prune94.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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))

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

series446.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
107.0ms	(cbrt (+ (* x y) z))
106.0ms	(cbrt (+ (* x y) z))
107.0ms	(cbrt (+ (* x y) z))

simplify139.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (130.0ms)

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

prune237.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	3	0	3
Picked	0	1	1
Done	0	1	1
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) z))
0.5b	(cbrt (cbrt (+ (* x y) z)))
0.6b	(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
0.9b	(pow (cbrt (cbrt (+ (* x y) z))) 4)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-div`
22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`flip3-+` `flip-+`
5×	`pow1` `add-exp-log`
4×	`frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow` `associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 70

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (cbrt (+ (* x y) z)))
10.0ms	(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
6.0ms	(pow (cbrt (cbrt (+ (* x y) z))) 4)

series492.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(cbrt (+ (* x y) z))
107.0ms	(cbrt (cbrt (+ (* x y) z)))
125.0ms	(cbrt (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))))
157.0ms	(pow (cbrt (cbrt (+ (* x y) z))) 4)

simplify163.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	395	787
1	1196	730
2	4961	694
3	5001	694

prune299.0ms

Filtered

82 candidates to 64 candidates (78.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	81	6	87

Merged error: 0b

Counts

87 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x y) z))
0.5b	(cbrt (cbrt (+ (* x y) z)))
0.5b	(cbrt (cbrt (+ (* x y) z)))
1.0b	(pow (cbrt (cbrt (+ (* x y) z))) 5)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 69

Calls

4 calls:

3.0ms	(cbrt (+ (* x y) z))
4.0ms	(cbrt (cbrt (+ (* x y) z)))
4.0ms	(cbrt (cbrt (+ (* x y) z)))
6.0ms	(pow (cbrt (cbrt (+ (* x y) z))) 5)

series497.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (+ (* x y) z))
109.0ms	(cbrt (cbrt (+ (* x y) z)))
107.0ms	(cbrt (cbrt (+ (* x y) z)))
174.0ms	(pow (cbrt (cbrt (+ (* x y) z))) 5)

simplify106.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	305	654
1	924	618
2	3518	596
3	5003	581

prune241.0ms

Filtered

81 candidates to 65 candidates (80.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	81	6	87

Merged error: 0b

Counts

87 → 6

regimes179.0ms

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

sample626.0ms

Algorithm

intervals

Results

339.0ms

11295×

body

valid