Details

sample80.0ms

Algorithm

intervals

Results

42.0ms

617×

body

valid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune4.0ms

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: 10.8b

Counts

2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c t) (* i y))
3.0b	(* x (- (* y z) (* t a)))
4.3b	(* b (- (* c z) (* i a)))
5.4b	(* j (- (* c t) (* i y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

3.0ms	(- (* c t) (* i y))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* j (- (* c t) (* i y)))

series242.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- (* c t) (* i y))
69.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* b (- (* c z) (* i a)))
69.0ms	(* j (- (* c t) (* i y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	424	552
1	1770	485
2	5001	485

prune426.0ms

Filtered

96 candidates to 63 candidates (65.6%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	74	22	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	75	22	97

Merged error: 7.4b

Counts

97 → 22

localize25.0ms

Local error

Found 4 expressions with local error:

4.9b	(cbrt (- (* y z) (* t a)))
4.9b	(cbrt (- (* y z) (* t a)))
4.9b	(cbrt (- (* y z) (* t a)))
5.4b	(* j (- (* c t) (* i y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

3.0ms	(cbrt (- (* y z) (* t a)))
3.0ms	(cbrt (- (* y z) (* t a)))
3.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(* j (- (* c t) (* i y)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(cbrt (- (* y z) (* t a)))
116.0ms	(cbrt (- (* y z) (* t a)))
118.0ms	(cbrt (- (* y z) (* t a)))
69.0ms	(* j (- (* c t) (* i y)))

simplify111.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	313	590
1	1064	543
2	3738	525
3	5001	519

prune487.0ms

Filtered

75 candidates to 59 candidates (78.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	21	21
Picked	1	0	1
Done	0	0	0
Total	73	24	97

Merged error: 7.4b

Counts

97 → 24

localize25.0ms

Local error

Found 4 expressions with local error:

1.2b	(* (cbrt x) (- (* y z) (* t a)))
2.2b	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
4.3b	(* b (- (* c z) (* i a)))
5.4b	(* j (- (* c t) (* i y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-exp-log`
19×	`add-sqr-sqrt`
15×	`add-cbrt-cube`
14×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`sub-neg` `associate-r/` `associate-r*`
4×	`cbrt-prod` `flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

7.0ms	(* (cbrt x) (- (* y z) (* t a)))
12.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* j (- (* c t) (* i y)))

series521.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(* (cbrt x) (- (* y z) (* t a)))
102.0ms	(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (* y z) (* t a))))
71.0ms	(* b (- (* c z) (* i a)))
69.0ms	(* j (- (* c t) (* i y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	571	968
1	2533	762
2	5003	699

prune545.0ms

Filtered

120 candidates to 71 candidates (59.2%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	116	4	120
Fresh	1	22	23
Picked	1	0	1
Done	0	0	0
Total	118	26	144

Merged error: 7.4b

Counts

144 → 26

localize36.0ms

Local error

Found 4 expressions with local error:

4.9b	(cbrt (- (* y z) (* t a)))
4.9b	(cbrt (- (* y z) (* t a)))
4.9b	(cbrt (- (* y z) (* t a)))
5.4b	(* j (- (* c t) (* i y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

4.0ms	(cbrt (- (* y z) (* t a)))
3.0ms	(cbrt (- (* y z) (* t a)))
3.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(* j (- (* c t) (* i y)))

series422.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (- (* y z) (* t a)))
119.0ms	(cbrt (- (* y z) (* t a)))
124.0ms	(cbrt (- (* y z) (* t a)))
65.0ms	(* j (- (* c t) (* i y)))

simplify101.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (94.0ms)

Iter	Nodes	Cost
0	313	590
1	1064	543
2	3738	525
3	5001	519

prune453.0ms

Filtered

75 candidates to 59 candidates (78.7%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	1	24	25
Picked	0	1	1
Done	0	0	0
Total	75	26	101

Merged error: 7.4b

Counts

101 → 26

regimes1.3s

Accuracy

0% (4.2b remaining)

Error of 12.6b against oracle of 8.4b and baseline of 12.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	37
1	41	37

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.3s

19292×

body

valid