Details

sample76.0ms

Algorithm

intervals

Results

41.0ms

619×

body

valid

simplify79.0ms

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: 10.0b

localize23.0ms

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))))
3.6b	(* b (- (* c z) (* t i)))
4.9b	(* x (- (* y z) (* t a)))
5.9b	(* j (- (* c a) (* y i)))

rewrite33.0ms

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

series785.0ms

Counts

4 → 12

Calls

4 calls:

581.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) (* j (- (* c a) (* y i))))
68.0ms	(* b (- (* c z) (* t i)))
68.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* j (- (* c a) (* y i)))

simplify46.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	961	1832
1	5001	1770

prune577.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.1b

localize31.0ms

Local error

Found 4 expressions with local error:

4.9b	(* x (- (* y z) (* t a)))
8.1b	(cbrt (- (* c a) (* y i)))
8.1b	(cbrt (- (* c a) (* y i)))
8.1b	(cbrt (- (* c a) (* y i)))

rewrite17.0ms

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:

6.0ms	(* x (- (* y z) (* t a)))
3.0ms	(cbrt (- (* c a) (* y i)))
4.0ms	(cbrt (- (* c a) (* y i)))
3.0ms	(cbrt (- (* c a) (* y i)))

series413.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* x (- (* y z) (* t a)))
120.0ms	(cbrt (- (* c a) (* y i)))
113.0ms	(cbrt (- (* c a) (* y i)))
116.0ms	(cbrt (- (* c a) (* y i)))

simplify101.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (94.0ms)

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

prune442.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.1b

localize31.0ms

Local error

Found 4 expressions with local error:

8.1b	(cbrt (- (* c a) (* y i)))
8.1b	(cbrt (- (* c a) (* y i)))
8.1b	(cbrt (- (* c a) (* y i)))
8.1b	(cbrt (- (* c a) (* y i)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

3.0ms	(cbrt (- (* c a) (* y i)))
3.0ms	(cbrt (- (* c a) (* y i)))
4.0ms	(cbrt (- (* c a) (* y i)))
3.0ms	(cbrt (- (* c a) (* y i)))

series474.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (- (* c a) (* y i)))
118.0ms	(cbrt (- (* c a) (* y i)))
118.0ms	(cbrt (- (* c a) (* y i)))
121.0ms	(cbrt (- (* c a) (* y i)))

simplify101.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (95.0ms)

Iter	Nodes	Cost
0	182	576
1	495	540
2	1443	516
3	3362	512
4	5001	504

prune518.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.1b

localize27.0ms

Local error

Found 4 expressions with local error:

5.9b	(* j (- (* c a) (* y i)))
6.2b	(cbrt (* x (- (* y z) (* t a))))
6.2b	(cbrt (* x (- (* y z) (* t a))))
6.2b	(cbrt (* x (- (* y z) (* t a))))

rewrite21.0ms

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	(* j (- (* c a) (* y i)))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
5.0ms	(cbrt (* x (- (* y z) (* t a))))
5.0ms	(cbrt (* x (- (* y z) (* t a))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* j (- (* c a) (* y i)))
144.0ms	(cbrt (* x (- (* y z) (* t a))))
139.0ms	(cbrt (* x (- (* y z) (* t a))))
142.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify110.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	312	542
1	1100	489
2	4145	480
3	5002	477

prune356.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 4.0b

regimes1.1s

Accuracy

64% (2.9b remaining)

Error of 7.2b against oracle of 4.2b and baseline of 12.4b

bsearch4.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	74
1	69	74

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.3s

19174×

body

valid