Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

324×

body

valid

simplify201.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	84	4
3	206	4
4	406	4
5	540	4
6	706	4
7	957	4
8	1458	4
9	2384	4
10	3658	4
11	4031	4
12	4429	4
13	5002	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: 2.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.4b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

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

series78.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- 1.0 y) z)
50.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify95.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	211	251
1	863	221
2	3970	215
3	5001	215

prune88.0ms

Filtered

52 candidates to 33 candidates (63.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.3b	(* (* x z) (- y 1.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms	(* (* x z) (- y 1.0))

series114.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
50.0ms	(* (* x z) (- y 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	257	266
1	1177	224
2	5002	219

prune81.0ms

Filtered

47 candidates to 30 candidates (63.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	45	6	51

Merged error: 0.0b

Counts

51 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.2b	(cbrt (- y 1.0))
0.7b	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
1.7b	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
42×	`associate-*r/`
35×	`flip3--` `flip--`
34×	`pow1` `add-exp-log`
32×	`frac-times`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
16×	`associate-*l/`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 118

Calls

4 calls:

3.0ms	(cbrt (- y 1.0))
3.0ms	(cbrt (- y 1.0))
20.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
18.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series426.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(cbrt (- y 1.0))
97.0ms	(cbrt (- y 1.0))
70.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
164.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify75.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	665	1553
1	2582	1345
2	5001	1279

prune333.0ms

Filtered

130 candidates to 77 candidates (59.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	130	6	136

Merged error: 0.0b

Counts

136 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- y 1.0))
0.3b	(* (* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0))))) (cbrt (cbrt (- y 1.0))))
0.6b	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
1.7b	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

1634×	`cbrt-div`
708×	`frac-times`
520×	`flip3--` `flip--`
476×	`associate-*r/`
258×	`associate-*l/`
110×	`pow1` `add-exp-log`
81×	`pow-prod-down` `prod-exp` `cbrt-unprod`
59×	`add-cbrt-cube`
18×	`cbrt-prod`
13×	`associate-r`
12×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`associate-l` `*-commutative`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`pow1/3`

Counts

4 → 460

Calls

4 calls:

3.0ms	(cbrt (- y 1.0))
46.0ms	(* (* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0))))) (cbrt (cbrt (- y 1.0))))
35.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
14.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series617.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(cbrt (- y 1.0))
74.0ms	(* (* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0))))) (cbrt (cbrt (- y 1.0))))
272.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (* (cbrt (cbrt (- y 1.0))) (cbrt (cbrt (- y 1.0)))))
172.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify163.0ms

Algorithm

egg-herbie

Counts

472 → 472

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2336	14563
1	5002	13683

prune1.6s

Filtered

472 candidates to 251 candidates (53.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	471	1	472
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	472	6	478

Merged error: 0.0b

Counts

478 → 6

regimes250.0ms

Accuracy

94.8% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	17
1	28	17

end0.0ms

sample438.0ms

Algorithm

intervals

Results

233.0ms

10169×

body

valid