Details

sample30.0ms

Algorithm

intervals

Results

10.0ms

353×

body

valid

simplify6.0ms

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

prune5.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

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)

rewrite20.0ms

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:

3.0ms	(+ (* x y) z)
10.0ms	(+ (* (+ (* x y) z) y) t)
6.0ms	(* (+ (* x y) z) y)

series115.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (* x y) z)
58.0ms	(+ (* (+ (* x y) z) y) t)
34.0ms	(* (+ (* 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

prune192.0ms

Filtered

51 candidates to 36 candidates (70.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Merged error: 0b

Counts

52 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))
0.6b	(cbrt (+ (* x y) z))

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:

11.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
3.0ms	(cbrt (+ (* x y) z))
3.0ms	(cbrt (+ (* x y) z))
3.0ms	(cbrt (+ (* x y) z))

series410.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z)))
98.0ms	(cbrt (+ (* x y) z))
97.0ms	(cbrt (+ (* x y) z))
98.0ms	(cbrt (+ (* x y) z))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	301	859
1	1110	794
2	5002	731

prune429.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	99	7	106

Merged error: 0b

Counts

106 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series404.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (cbrt y) (cbrt y))
92.0ms	(cbrt y)
93.0ms	(cbrt y)
97.0ms	(cbrt y)

simplify88.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune351.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0b

Counts

92 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (+ (* x y) z) (cbrt (pow y 2)))
0.3b	(* (* (+ (* x y) z) (cbrt (pow y 2))) (cbrt y))
0.6b	(cbrt y)
26.0b	(cbrt (pow y 2))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

26×	`cbrt-prod`
21×	`add-sqr-sqrt`
17×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log`
7×	`unpow-prod-down` `add-cbrt-cube`
6×	`associate-*l/`
5×	`unswap-sqr`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unpow2` `sqr-pow`
2×	`flip3-+` `pow1/3` `*-commutative` `flip-+`

Counts

4 → 82

Calls

4 calls:

9.0ms	(* (+ (* x y) z) (cbrt (pow y 2)))
10.0ms	(* (* (+ (* x y) z) (cbrt (pow y 2))) (cbrt y))
1.0ms	(cbrt y)
2.0ms	(cbrt (pow y 2))

series406.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(* (+ (* x y) z) (cbrt (pow y 2)))
58.0ms	(* (* (+ (* x y) z) (cbrt (pow y 2))) (cbrt y))
96.0ms	(cbrt y)
97.0ms	(cbrt (pow y 2))

simplify48.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	335	598
1	1599	531
2	5001	510

prune391.0ms

Filtered

94 candidates to 69 candidates (73.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	94	7	101

Merged error: 0b

Counts

101 → 7

regimes459.0ms

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

sample775.0ms

Algorithm

intervals

Results

307.0ms

11373×

body

valid

Details

sample30.0ms

simplify6.0ms

prune5.0ms

localize6.0ms

rewrite20.0ms

series115.0ms

simplify102.0ms

prune192.0ms

localize13.0ms

rewrite23.0ms

series410.0ms

simplify48.0ms

prune429.0ms

localize10.0ms

rewrite10.0ms

series404.0ms

simplify88.0ms

prune351.0ms

localize12.0ms

rewrite27.0ms

series406.0ms

simplify48.0ms

prune391.0ms

regimes459.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample775.0ms

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