Details

sample73.0ms

Algorithm

intervals

Results

38.0ms

606×

body

valid

simplify81.0ms

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: 16.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* t i))
4.7b	(* j (- (* c a) (* y i)))
6.3b	(* x (- (* y z) (* t a)))
8.2b	(* b (- (* c z) (* t i)))

rewrite33.0ms

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:

2.0ms	(- (* c z) (* t i))
10.0ms	(* j (- (* c a) (* y i)))
9.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* b (- (* c z) (* t i)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c z) (* t i))
67.0ms	(* j (- (* c a) (* y i)))
68.0ms	(* x (- (* y z) (* t a)))
68.0ms	(* b (- (* c z) (* t i)))

simplify55.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	422	552
1	1762	485
2	5001	485

prune419.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 10.7b

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b	(* j (- (* c a) (* y i)))
5.5b	(* b (* c z))
6.3b	(* x (- (* y z) (* t a)))
7.1b	(* b (- (* t i)))

rewrite31.0ms

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:

10.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* b (* c z))
9.0ms	(* x (- (* y z) (* t a)))
4.0ms	(* b (- (* t i)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* j (- (* c a) (* y i)))
27.0ms	(* b (* c z))
65.0ms	(* x (- (* y z) (* t a)))
28.0ms	(* b (- (* t i)))

simplify63.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	445	484
1	2073	419
2	5002	419

prune459.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 6.7b

localize21.0ms

Local error

Found 4 expressions with local error:

4.7b	(* j (- (* c a) (* y i)))
5.5b	(* b (* c z))
6.3b	(* x (- (* y z) (* t a)))
7.3b	(* (* b t) (- i))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
17×	`associate-r`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`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`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 92

Calls

4 calls:

9.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* b (* c z))
9.0ms	(* x (- (* y z) (* t a)))
8.0ms	(* (* b t) (- i))

series183.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* j (- (* c a) (* y i)))
24.0ms	(* b (* c z))
67.0ms	(* x (- (* y z) (* t a)))
26.0ms	(* (* b t) (- i))

simplify59.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	507	500
1	2258	430
2	5001	430

prune456.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 6.6b

localize21.0ms

Local error

Found 4 expressions with local error:

4.7b	(* j (- (* c a) (* y i)))
5.9b	(* (* b c) z)
6.3b	(* x (- (* y z) (* t a)))
7.3b	(* (* b t) (- i))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-r`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
12×	`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`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 92

Calls

4 calls:

9.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* (* b c) z)
10.0ms	(* x (- (* y z) (* t a)))
8.0ms	(* (* b t) (- i))

series191.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* j (- (* c a) (* y i)))
24.0ms	(* (* b c) z)
69.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* (* b t) (- i))

simplify65.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	513	501
1	2380	431
2	5002	431

prune363.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 6.3b

regimes1.5s

Accuracy

27.8% (4.8b remaining)

Error of 10.5b against oracle of 5.7b and baseline of 12.3b

bsearch218.0ms

Steps

Iters	Range		Point
8	1.4589094329529719e-22	5.583463065898425e-20	4.90678942617142e-20
8	-2.3902157657568606e+85	-2.365579704804675e+82	-1.0454813922804694e+83

simplify10.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	64
1	93	64
2	113	64
3	137	64
4	187	64
5	277	64
6	305	64
7	333	64
8	391	64
9	431	64
10	431	64

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

18995×

body

valid

Iter	Nodes	Cost
0	79	64
1	93	64
2	113	64
3	137	64
4	187	64
5	277	64
6	305	64
7	333	64
8	391	64
9	431	64
10	431	64

Iter	Nodes	Cost
0	79	64
1	93	64
2	113	64
3	137	64
4	187	64
5	277	64
6	305	64
7	333	64
8	391	64
9	431	64
10	431	64

Iter	Nodes	Cost
0	79	64
1	93	64
2	113	64
3	137	64
4	187	64
5	277	64
6	305	64
7	333	64
8	391	64
9	431	64
10	431	64