Details

sample91.0ms

Algorithm

intervals

Results

40.0ms

656×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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: 11.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) (* t a))
3.5b	(* b (- (* c z) (* t i)))
5.4b	(* j (- (* c a) (* y i)))
6.2b	(* x (- (* y z) (* t a)))

rewrite308.0ms

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:

9.0ms	(- (* y z) (* t a))
29.0ms	(* b (- (* c z) (* t i)))
241.0ms	(* j (- (* c a) (* y i)))
27.0ms	(* x (- (* y z) (* t a)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* y z) (* t a))
61.0ms	(* b (- (* c z) (* t i)))
63.0ms	(* j (- (* c a) (* y i)))
67.0ms	(* x (- (* y z) (* t a)))

simplify62.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	476	643
1	1969	572
2	5001	572

prune492.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.4b

localize26.0ms

Local error

Found 4 expressions with local error:

3.5b	(* b (- (* c z) (* t i)))
4.6b	(* x (* y z))
5.4b	(* j (- (* c a) (* y i)))
5.7b	(* x (- (* t a)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`associate-l`
11×	`add-cube-cbrt` `*-un-lft-identity`
6×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `associate-r/` `prod-diff` `-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 100

Calls

4 calls:

27.0ms	(* b (- (* c z) (* t i)))
21.0ms	(* x (* y z))
27.0ms	(* j (- (* c a) (* y i)))
13.0ms	(* x (- (* t a)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* b (- (* c z) (* t i)))
22.0ms	(* x (* y z))
62.0ms	(* j (- (* c a) (* y i)))
26.0ms	(* x (- (* t a)))

simplify66.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	478	550
1	2181	483
2	5001	483

prune495.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.0b

localize23.0ms

Local error

Found 4 expressions with local error:

3.5b	(* b (- (* c z) (* t i)))
4.1b	(* (* x y) z)
5.4b	(* j (- (* c a) (* y i)))
5.7b	(* x (- (* t a)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

29.0ms	(* b (- (* c z) (* t i)))
18.0ms	(* (* x y) z)
27.0ms	(* j (- (* c a) (* y i)))
14.0ms	(* x (- (* t a)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* b (- (* c z) (* t i)))
21.0ms	(* (* x y) z)
61.0ms	(* j (- (* c a) (* y i)))
25.0ms	(* x (- (* t a)))

simplify67.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	488	551
1	2340	484
2	5001	484

prune516.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.5b

localize24.0ms

Local error

Found 4 expressions with local error:

3.5b	(* b (- (* c z) (* t i)))
4.1b	(* (* x y) z)
5.4b	(* j (- (* c a) (* y i)))
5.6b	(* a (* x t))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

27.0ms	(* b (- (* c z) (* t i)))
18.0ms	(* (* x y) z)
29.0ms	(* j (- (* c a) (* y i)))
16.0ms	(* a (* x t))

series168.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* b (- (* c z) (* t i)))
26.0ms	(* (* x y) z)
59.0ms	(* j (- (* c a) (* y i)))
24.0ms	(* a (* x t))

simplify58.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	481	519
1	2081	447
2	5001	447

prune449.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.2b

regimes1.1s

Accuracy

12.4% (5.9b remaining)

Error of 11.8b against oracle of 5.9b and baseline of 12.7b

bsearch180.0ms

Steps

Iters	Range		Point
5	9.98075780066683e+120	2.2830925651785564e+121	1.2849751811444222e+121
8	-2.9868593335480247e-268	-1.961985116338623e-271	-2.9368192681862057e-268

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	81	47
1	92	47
2	97	47
3	97	47

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s

19151×

body

valid