Details

sample93.0ms

Algorithm

intervals

Results

41.0ms

673×

body

valid

simplify83.0ms

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: 10.5b

localize27.0ms

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	(* b (- (* c z) (* t i)))
4.6b	(* j (- (* c a) (* y i)))
4.9b	(* x (- (* y z) (* t a)))

rewrite155.0ms

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:

75.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
26.0ms	(* b (- (* c z) (* t i)))
25.0ms	(* j (- (* c a) (* y i)))
25.0ms	(* x (- (* y z) (* t a)))

series741.0ms

Counts

4 → 12

Calls

4 calls:

554.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
60.0ms	(* b (- (* c z) (* t i)))
63.0ms	(* j (- (* c a) (* y i)))
63.0ms	(* x (- (* y z) (* t a)))

simplify43.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	961	1832
1	5001	1770

prune557.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 3.8b

localize22.0ms

Local error

Found 4 expressions with local error:

3.3b	(* b (- (* t i)))
3.9b	(* b (* c z))
4.6b	(* j (- (* c a) (* y i)))
4.9b	(* x (- (* y z) (* t a)))

rewrite79.0ms

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:

11.0ms	(* b (- (* t i)))
14.0ms	(* b (* c z))
26.0ms	(* j (- (* c a) (* y i)))
24.0ms	(* x (- (* y z) (* t a)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* b (- (* t i)))
22.0ms	(* b (* c z))
63.0ms	(* j (- (* c a) (* y i)))
61.0ms	(* x (- (* y z) (* t a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (12.0ms)

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

prune441.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.3b

localize27.0ms

Local error

Found 4 expressions with local error:

4.9b	(* x (- (* y z) (* t a)))
5.7b	(cbrt (- (* c a) (* y i)))
5.7b	(cbrt (- (* c a) (* y i)))
5.7b	(cbrt (- (* c a) (* y i)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

27.0ms	(* x (- (* y z) (* t a)))
5.0ms	(cbrt (- (* c a) (* y i)))
5.0ms	(cbrt (- (* c a) (* y i)))
6.0ms	(cbrt (- (* c a) (* y i)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* x (- (* y z) (* t a)))
104.0ms	(cbrt (- (* c a) (* y i)))
108.0ms	(cbrt (- (* c a) (* y i)))
109.0ms	(cbrt (- (* c a) (* y i)))

simplify96.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	315	590
1	1061	543
2	3732	525
3	5002	519

prune640.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.3b

localize27.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
3.3b	(* b (- (* t i)))
3.9b	(* b (* c z))
4.9b	(* x (- (* y z) (* t a)))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

59.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
11.0ms	(* b (- (* t i)))
17.0ms	(* b (* c z))
25.0ms	(* x (- (* y z) (* t a)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
23.0ms	(* b (- (* t i)))
21.0ms	(* b (* c z))
62.0ms	(* x (- (* y z) (* t a)))

simplify91.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	543	754
1	2380	560
2	5001	503

prune362.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 3.3b

regimes1.2s

Accuracy

52.9% (4.0b remaining)

Error of 7.4b against oracle of 3.4b and baseline of 11.9b

bsearch6.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	57
1	85	57
2	86	57
3	86	57

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s

18970×

body

valid