Details

sample25.0ms

Algorithm

intervals

Results

12.0ms

358×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	34	3
2	72	3
3	100	3
4	108	3
5	108	3

prune7.0ms

Filtered

1 candidates to 1 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: 4.8b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (* x y) (* z y))
4.7b	(* (- (* x y) (* z y)) t)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

3.0ms	(- (* x y) (* z y))
6.0ms	(* (- (* x y) (* z y)) t)

series75.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(- (* x y) (* z y))
41.0ms	(* (- (* x y) (* z y)) t)

simplify100.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	157	205
1	644	173
2	3801	169
3	5001	169

prune77.0ms

Filtered

40 candidates to 30 candidates (75.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	34	6	40
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Merged error: 0.0b

Counts

42 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

1.5b	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
7.0b	(cbrt (- (* x y) (* z y)))
7.0b	(cbrt (- (* x y) (* z y)))
7.0b	(cbrt (- (* x y) (* z y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod`
10×	`add-cbrt-cube`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`distribute-rgt-out--` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 90

Calls

4 calls:

17.0ms	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
3.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
108.0ms	(cbrt (- (* x y) (* z y)))
110.0ms	(cbrt (- (* x y) (* z y)))
109.0ms	(cbrt (- (* x y) (* z y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	484	1784
1	1391	1557
2	5001	1464

prune245.0ms

Filtered

102 candidates to 74 candidates (72.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

4.7b	(* (* t y) (- x z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

7.0ms

(* (* t y) (- x z))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(* (* t y) (- x z))

simplify100.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	177	134
1	820	111
2	4326	111
3	5002	111

prune39.0ms

Filtered

29 candidates to 16 candidates (55.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	27	7	34

Merged error: 0.0b

Counts

34 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* x y) (* z y))
7.0b	(cbrt (- (* x y) (* z y)))
7.0b	(cbrt (- (* x y) (* z y)))
7.0b	(cbrt (- (* x y) (* z y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `flip3--` `distribute-rgt-out--` `add-cbrt-cube` `flip--`
3×	`pow1/3`
1×	`sub-neg` `diff-log`

Counts

4 → 55

Calls

4 calls:

6.0ms	(- (* x y) (* z y))
3.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))

series361.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(- (* x y) (* z y))
108.0ms	(cbrt (- (* x y) (* z y)))
108.0ms	(cbrt (- (* x y) (* z y)))
109.0ms	(cbrt (- (* x y) (* z y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	218	548
1	624	510
2	2307	487
3	5001	483

prune186.0ms

Filtered

67 candidates to 61 candidates (91.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	67	7	74

Merged error: 0.0b

Counts

74 → 7

regimes260.0ms

Accuracy

92% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 6.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	29
1	32	29

end0.0ms

sample604.0ms

Algorithm

intervals

Results

337.0ms

10668×

body

valid