Details

sample72.0ms

Algorithm

intervals

Results

38.0ms

615×

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.4b	(* j (- (* c a) (* y i)))
5.2b	(* x (- (* y z) (* t a)))
6.0b	(* b (- (* c z) (* t i)))

rewrite22.0ms

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

series239.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (* y z) (* t a))
66.0ms	(* j (- (* c a) (* y i)))
65.0ms	(* x (- (* y z) (* t a)))
69.0ms	(* b (- (* c z) (* t i)))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

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

prune430.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.5b

localize27.0ms

Local error

Found 4 expressions with local error:

4.4b	(* j (- (* c a) (* y i)))
5.5b	(* x (* y z))
5.8b	(* x (- (* t a)))
6.0b	(* b (- (* c z) (* t i)))

rewrite24.0ms

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:

6.0ms	(* j (- (* c a) (* y i)))
5.0ms	(* x (* y z))
5.0ms	(* x (- (* t a)))
6.0ms	(* b (- (* c z) (* t i)))

series190.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* j (- (* c a) (* y i)))
24.0ms	(* x (* y z))
28.0ms	(* x (- (* t a)))
70.0ms	(* b (- (* c z) (* t i)))

simplify62.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

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

prune475.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.1b

localize26.0ms

Local error

Found 4 expressions with local error:

4.4b	(* j (- (* c a) (* y i)))
4.5b	(* (* x (- t)) a)
5.5b	(* x (* y z))
6.0b	(* b (- (* c z) (* t i)))

rewrite25.0ms

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`
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:

6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* (* x (- t)) a)
5.0ms	(* x (* y z))
6.0ms	(* b (- (* c z) (* t i)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* j (- (* c a) (* y i)))
27.0ms	(* (* x (- t)) a)
24.0ms	(* x (* y z))
70.0ms	(* b (- (* c z) (* t i)))

simplify61.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	465	477
1	2070	407
2	5002	407

prune440.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.8b

localize21.0ms

Local error

Found 4 expressions with local error:

4.0b	(* (* x y) z)
4.4b	(* j (- (* c a) (* y i)))
4.5b	(* (* x (- t)) a)
6.0b	(* b (- (* c z) (* t i)))

rewrite24.0ms

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:

5.0ms	(* (* x y) z)
6.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* (* x (- t)) a)
6.0ms	(* b (- (* c z) (* t i)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x y) z)
69.0ms	(* j (- (* c a) (* y i)))
28.0ms	(* (* x (- t)) a)
68.0ms	(* b (- (* c z) (* t i)))

simplify65.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (14.0ms)

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

prune341.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.8b

regimes1.1s

Accuracy

27.4% (4.7b remaining)

Error of 10.3b against oracle of 5.6b and baseline of 12.0b

bsearch97.0ms

Steps

Iters	Range		Point
7	1.1859446485540357e-50	6.698303343205029e-49	4.1190214595724835e-49

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	37
1	95	37
2	100	37
3	100	37

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

18934×

body

valid