Details

sample73.0ms

Algorithm

intervals

Results

38.0ms

610×

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: 11.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c a) (* y i))
4.7b	(* x (- (* y z) (* t a)))
4.7b	(* b (- (* c z) (* t i)))
6.1b	(* j (- (* c a) (* y i)))

rewrite25.0ms

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:

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

series238.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* c a) (* y i))
68.0ms	(* x (- (* y z) (* t a)))
63.0ms	(* b (- (* c z) (* t i)))
67.0ms	(* j (- (* c a) (* y i)))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

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

prune422.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.0b

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* t i)))
6.1b	(* j (- (* c a) (* y i)))
7.3b	(* b (* c z))

rewrite30.0ms

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:

7.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (- (* t i)))
10.0ms	(* j (- (* c a) (* y i)))
5.0ms	(* b (* c z))

series186.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* b (- (* t i)))
68.0ms	(* j (- (* c a) (* y i)))
25.0ms	(* b (* c z))

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	445	484
1	2073	419
2	5001	419

prune463.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 5.1b

localize26.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (cbrt b) (* c z))
4.7b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* t i)))
6.1b	(* j (- (* c a) (* y i)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`pow1` `add-exp-log` `associate-l`
13×	`associate-r` `add-cbrt-cube`
12×	`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×	`cbrt-prod` `unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 91

Calls

4 calls:

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

series280.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(* (cbrt b) (* c z))
63.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* b (- (* t i)))
67.0ms	(* j (- (* c a) (* y i)))

simplify67.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	471	514
1	2141	451
2	5001	451

prune553.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 5.1b

localize26.0ms

Local error

Found 4 expressions with local error:

6.1b	(* j (- (* c a) (* y i)))
6.1b	(* j (- (* c a) (* y i)))
6.1b	(* j (- (* c a) (* y i)))
7.3b	(* b (* c z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

7.0ms	(* j (- (* c a) (* y i)))
7.0ms	(* j (- (* c a) (* y i)))
10.0ms	(* j (- (* c a) (* y i)))
5.0ms	(* b (* c z))

series215.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* j (- (* c a) (* y i)))
61.0ms	(* j (- (* c a) (* y i)))
65.0ms	(* j (- (* c a) (* y i)))
23.0ms	(* b (* c z))

simplify98.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	230	543
1	925	468
2	3800	468
3	5001	468

prune428.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 5.1b

regimes1.4s

Accuracy

13.9% (5.2b remaining)

Error of 11.3b against oracle of 6.1b and baseline of 12.1b

bsearch205.0ms

Steps

Iters	Range	Point
4	8.428857604918271e-166	1.6798202712304048e-165	1.1738608161239543e-165
5	-1.5927410211861898e-124	-5.666166688937509e-125	-1.3512627144290116e-124
7	-9.7452264510045e-37	-3.0842787579560365e-38	-1.092021419272295e-37

Iters

Range

Point

8.428857604918271e-166

1.6798202712304048e-165

1.1738608161239543e-165

-1.5927410211861898e-124

-5.666166688937509e-125

-1.3512627144290116e-124

-9.7452264510045e-37

-3.0842787579560365e-38

-1.092021419272295e-37

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	75
1	106	75
2	116	75
3	116	75

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18962×

body

valid