Details

sample83.0ms

Algorithm

intervals

Results

47.0ms

608×

body

valid

simplify84.0ms

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: 11.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
3.7b	(* j (- (* c a) (* y i)))
5.0b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* c z) (* t i)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

34×	`associate-*r/`
19×	`flip3--` `flip--`
16×	`add-sqr-sqrt`
12×	`frac-add`
11×	`sub-neg`
10×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`
9×	`associate-r` `associate-l` `add-log-exp`
8×	`frac-sub`
6×	`associate-+l+`
4×	`associate-+r+` `associate--l+`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sum-log`
1×	`+-commutative` `associate-+l-` `flip3-+` `diff-log` `flip-+`

Counts

4 → 107

Calls

4 calls:

12.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
9.0ms	(* j (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* b (- (* c z) (* t i)))

series793.0ms

Counts

4 → 12

Calls

4 calls:

583.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
70.0ms	(* j (- (* c a) (* y i)))
72.0ms	(* x (- (* y z) (* t a)))
68.0ms	(* b (- (* c z) (* t i)))

simplify41.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	961	1832
1	5001	1770

prune556.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.8b

localize25.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (- (* c a) (* y i)))
4.8b	(cbrt (- (* c a) (* y i)))
5.0b	(* x (- (* y z) (* t a)))
5.4b	(* b (- (* c z) (* t i)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

6.0ms	(cbrt (- (* c a) (* y i)))
3.0ms	(cbrt (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* b (- (* c z) (* t i)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (- (* c a) (* y i)))
116.0ms	(cbrt (- (* c a) (* y i)))
71.0ms	(* x (- (* y z) (* t a)))
66.0ms	(* b (- (* c z) (* t i)))

simplify48.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	438	604
1	1594	546
2	5002	534

prune470.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.8b

localize31.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (- (* c a) (* y i)))
4.8b	(cbrt (- (* c a) (* y i)))
5.0b	(* x (- (* y z) (* t a)))
5.6b	(* b (* c z))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

3.0ms	(cbrt (- (* c a) (* y i)))
3.0ms	(cbrt (- (* c a) (* y i)))
6.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (* c z))

series323.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(cbrt (- (* c a) (* y i)))
113.0ms	(cbrt (- (* c a) (* y i)))
71.0ms	(* x (- (* y z) (* t a)))
25.0ms	(* b (* c z))

simplify48.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	399	515
1	1402	462
2	5001	450

prune439.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.8b

localize29.0ms

Local error

Found 4 expressions with local error:

5.4b	(* b (- (* c z) (* t i)))
5.6b	(cbrt (* b (- (* c z) (* t i))))
5.6b	(cbrt (* b (- (* c z) (* t i))))
5.6b	(cbrt (* b (- (* c z) (* t i))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*r/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
4×	`flip3--` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r` `associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 57

Calls

4 calls:

6.0ms	(* b (- (* c z) (* t i)))
5.0ms	(cbrt (* b (- (* c z) (* t i))))
5.0ms	(cbrt (* b (- (* c z) (* t i))))
5.0ms	(cbrt (* b (- (* c z) (* t i))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* b (- (* c z) (* t i)))
138.0ms	(cbrt (* b (- (* c z) (* t i))))
143.0ms	(cbrt (* b (- (* c z) (* t i))))
155.0ms	(cbrt (* b (- (* c z) (* t i))))

simplify91.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	254	542
1	913	489
2	3481	480
3	5001	477

prune362.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.8b

regimes959.0ms

Accuracy

1.9% (8.6b remaining)

Error of 12.2b against oracle of 3.7b and baseline of 12.4b

bsearch300.0ms

Steps

Iters	Range		Point
10	8.19829646962746e+173	3.855240367438291e+183	1.6388461898592592e+183
8	-7.119584704264814e+26	-1.8114421672530288e+24	-2.553319121821338e+24

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	74
1	86	74
2	87	74
3	87	74

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.4s

18981×

body

valid