Details

sample20.0ms

Algorithm

intervals

Results

7.0ms

337×

body

valid

simplify7.0ms

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

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize4.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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:

2.0ms	(- 1.0 (* x y))
5.0ms	(* x (- 1.0 (* x y)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify88.0ms

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

prune89.0ms

Filtered

42 candidates to 26 candidates (38.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	6	43

Merged error: 0.0b

Counts

43 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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:

3.0ms	(+ (* x 1.0) (* x (neg (* x y))))
5.0ms	(* x (neg (* x y)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x 1.0) (* x (neg (* x y))))
4.0ms	(* x (neg (* x y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (39.0ms)

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

prune101.0ms

Filtered

42 candidates to 32 candidates (23.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Merged error: 0.0b

Counts

48 → 5

localize12.0ms

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))))

rewrite18.0ms

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

series213.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
50.0ms	(cbrt (* x (- 1.0 (* x y))))
51.0ms	(cbrt (* x (- 1.0 (* x y))))
48.0ms	(cbrt (* x (- 1.0 (* x y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	423	1104
1	1638	1039
2	5001	977

prune595.0ms

Filtered

84 candidates to 67 candidates (20.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt x))
0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt (* x (- 1.0 (* x y))))
0.6b	(cbrt x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`cbrt-prod`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `associate-r/` `associate-r*`
5×	`pow1/3`
4×	`associate-l` `add-cbrt-cube` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow-prod-down` `associate-*l/` `unswap-sqr`
1×	`prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 59

Calls

4 calls:

5.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt x))
4.0ms	(cbrt (* x (- 1.0 (* x y))))
6.0ms	(cbrt (* x (- 1.0 (* x y))))
1.0ms	(cbrt x)

series176.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (cbrt (* x (- 1.0 (* x y)))) (cbrt x))
50.0ms	(cbrt (* x (- 1.0 (* x y))))
49.0ms	(cbrt (* x (- 1.0 (* x y))))
21.0ms	(cbrt x)

simplify42.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	436	756
1	1559	721
2	5001	689

prune421.0ms

Filtered

71 candidates to 61 candidates (14.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	71	6	77

Merged error: 0.0b

Counts

77 → 6

regimes144.0ms

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

sample482.0ms

Algorithm

intervals

Results

228.0ms

10788×

body

valid

Details

sample20.0ms

simplify7.0ms

prune3.0ms

localize4.0ms

rewrite8.0ms

series10.0ms

simplify88.0ms

prune89.0ms

localize6.0ms

rewrite9.0ms

series10.0ms

simplify42.0ms

prune101.0ms

localize12.0ms

rewrite18.0ms

series213.0ms

simplify49.0ms

prune595.0ms

localize12.0ms

rewrite17.0ms

series176.0ms

simplify42.0ms

prune421.0ms

regimes144.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample482.0ms

Profiling