Details

sample84.0ms

Algorithm

intervals

Results

38.0ms

605×

body

valid

simplify99.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
4.2b	(* x (- (* y z) (* t a)))
4.4b	(* b (- (* c z) (* t i)))
5.0b	(* j (- (* c a) (* y i)))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
7×	`sub-neg` `prod-diff`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

10.0ms	(- (* c a) (* y i))
27.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* b (- (* c z) (* t i)))
29.0ms	(* j (- (* c a) (* y i)))

series219.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* c a) (* y i))
62.0ms	(* x (- (* y z) (* t a)))
62.0ms	(* b (- (* c z) (* t i)))
61.0ms	(* j (- (* c a) (* y i)))

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	476	643
1	1969	572
2	5002	572

prune504.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.9b

localize33.0ms

Local error

Found 4 expressions with local error:

4.2b	(* x (- (* y z) (* t a)))
4.4b	(* b (- (* c z) (* t i)))
5.0b	(* j (- (* c a) (* y i)))
48.6b	(fma (- i) t (* i t))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
6×	`sub-neg` `associate-*r/` `prod-diff`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 94

Calls

4 calls:

26.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* b (- (* c z) (* t i)))
26.0ms	(* j (- (* c a) (* y i)))
0.0ms	(fma (- i) t (* i t))

series208.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* x (- (* y z) (* t a)))
64.0ms	(* b (- (* c z) (* t i)))
61.0ms	(* j (- (* c a) (* y i)))
23.0ms	(fma (- i) t (* i t))

simplify58.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	456	602
1	1902	532
2	5002	532

prune562.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.9b

localize38.0ms

Local error

Found 4 expressions with local error:

4.4b	(* b (- (* c z) (* t i)))
5.0b	(* j (- (* c a) (* y i)))
48.6b	(fma (- i) t (* i t))
49.0b	(fma (- a) t (* a t))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `prod-diff` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

27.0ms	(* b (- (* c z) (* t i)))
26.0ms	(* j (- (* c a) (* y i)))
0.0ms	(fma (- i) t (* i t))
0.0ms	(fma (- a) t (* a t))

series166.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* b (- (* c z) (* t i)))
61.0ms	(* j (- (* c a) (* y i)))
22.0ms	(fma (- i) t (* i t))
24.0ms	(fma (- a) t (* a t))

simplify47.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	332	468
1	1336	412
2	5001	412

prune545.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.9b

localize24.0ms

Local error

Found 4 expressions with local error:

5.0b	(* j (- (* c a) (* y i)))
5.7b	(cbrt (- (* c z) (* t i)))
5.7b	(cbrt (- (* c z) (* t i)))
5.7b	(cbrt (- (* c z) (* t i)))

rewrite47.0ms

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×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `associate-*r/` `prod-diff`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 73

Calls

4 calls:

26.0ms	(* j (- (* c a) (* y i)))
8.0ms	(cbrt (- (* c z) (* t i)))
6.0ms	(cbrt (- (* c z) (* t i)))
6.0ms	(cbrt (- (* c z) (* t i)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* j (- (* c a) (* y i)))
107.0ms	(cbrt (- (* c z) (* t i)))
104.0ms	(cbrt (- (* c z) (* t i)))
107.0ms	(cbrt (- (* c z) (* t i)))

simplify104.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	338	646
1	1156	598
2	4171	580
3	5001	580

prune438.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 6.8b

regimes1.3s

Accuracy

0% (4.0b remaining)

Error of 12.8b against oracle of 8.9b and baseline of 12.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	32
1	43	32

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s

18805×

body

valid