Details

sample91.0ms

Algorithm

intervals

Results

39.0ms

656×

body

valid

simplify80.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize20.0ms

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)))

rewrite88.0ms

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:

8.0ms	(- (* y z) (* t a))
25.0ms	(* b (- (* c z) (* t i)))
25.0ms	(* j (- (* c a) (* y i)))
29.0ms	(* x (- (* y z) (* t a)))

series248.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* y z) (* t a))
71.0ms	(* b (- (* c z) (* t i)))
69.0ms	(* j (- (* c a) (* y i)))
68.0ms	(* x (- (* y z) (* t a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	552
1	1763	485
2	5002	485

prune385.0ms

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)))

rewrite85.0ms

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×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `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 → 88

Calls

4 calls:

26.0ms	(* b (- (* c z) (* t i)))
19.0ms	(* x (* y z))
26.0ms	(* j (- (* c a) (* y i)))
12.0ms	(* x (- (* t a)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* b (- (* c z) (* t i)))
25.0ms	(* x (* y z))
70.0ms	(* j (- (* c a) (* y i)))
30.0ms	(* x (- (* t a)))

simplify62.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	442	484
1	2052	419
2	5001	419

prune454.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.0b

localize22.0ms

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)))

rewrite87.0ms

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×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `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 → 88

Calls

4 calls:

26.0ms	(* b (- (* c z) (* t i)))
17.0ms	(* (* x y) z)
26.0ms	(* j (- (* c a) (* y i)))
15.0ms	(* x (- (* t a)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* b (- (* c z) (* t i)))
25.0ms	(* (* x y) z)
74.0ms	(* j (- (* c a) (* y i)))
29.0ms	(* x (- (* t a)))

simplify67.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	452	485
1	2211	420
2	5002	420

prune444.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.5b

localize21.0ms

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	(* (* x (- t)) a)

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

26.0ms	(* b (- (* c z) (* t i)))
17.0ms	(* (* x y) z)
28.0ms	(* j (- (* c a) (* y i)))
20.0ms	(* (* x (- t)) a)

series198.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* b (- (* c z) (* t i)))
25.0ms	(* (* x y) z)
72.0ms	(* j (- (* c a) (* y i)))
29.0ms	(* (* x (- t)) a)

simplify61.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	472	478
1	2222	408
2	5001	408

prune338.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.2b

regimes1.1s

Accuracy

12.2% (5.9b remaining)

Error of 11.8b against oracle of 6.0b and baseline of 12.7b

bsearch181.0ms

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	75	46
1	88	46
2	92	46
3	92	46

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s

19151×

body

valid