Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

366×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	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: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.0 (* x y))
0.1b	(* x (- 1.0 (* x y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(- 1.0 (* x y))
5.0ms	(* x (- 1.0 (* x y)))

series67.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(- 1.0 (* x y))
42.0ms	(* x (- 1.0 (* x y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	138	190
1	581	168
2	3052	168
3	5001	168

prune69.0ms

Filtered

42 candidates to 26 candidates (61.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	9	43

Merged error: 0.0b

Counts

43 → 9

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* x y))))
0.2b	(* x (- (* x y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-l` `distribute-rgt-neg-out`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `flip3-+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* x (- (* x y))))
5.0ms	(* x (- (* x y)))

series60.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x 1.0) (* x (- (* x y))))
21.0ms	(* x (- (* x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	181	210
1	1035	183
2	5001	179

prune70.0ms

Filtered

42 candidates to 31 candidates (73.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	43	8	51

Merged error: 0.0b

Counts

51 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt (* x (- 1.0 (* x y))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
4.0ms	(cbrt (* x (- 1.0 (* x y))))
4.0ms	(cbrt (* x (- 1.0 (* x y))))
4.0ms	(cbrt (* x (- 1.0 (* x y))))

series1.1s

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
273.0ms	(cbrt (* x (- 1.0 (* x y))))
271.0ms	(cbrt (* x (- 1.0 (* x y))))
272.0ms	(cbrt (* x (- 1.0 (* x y))))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	427	1092
1	1660	1027
2	5001	950

prune235.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

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 x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series750.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(* (cbrt x) (cbrt x))
185.0ms	(cbrt x)
178.0ms	(cbrt x)
183.0ms	(cbrt x)

simplify91.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

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

prune153.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

regimes90.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	5
1	23	5
2	24	5
3	24	5

end0.0ms

sample359.0ms

Algorithm

intervals

Results

191.0ms

10577×

body

valid