Details

sample79.0ms

Algorithm

intervals

Results

36.0ms

603×

body

valid

simplify87.0ms

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: 13.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
6.1b	(* b (- (* c z) (* t i)))
6.4b	(* j (- (* c a) (* y i)))
6.7b	(* x (- (* y z) (* t a)))

rewrite93.0ms

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:

8.0ms	(- (* y z) (* t a))
27.0ms	(* b (- (* c z) (* t i)))
27.0ms	(* j (- (* c a) (* y i)))
30.0ms	(* x (- (* y z) (* t a)))

series220.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- (* y z) (* t a))
64.0ms	(* b (- (* c z) (* t i)))
62.0ms	(* j (- (* c a) (* y i)))
61.0ms	(* x (- (* y z) (* t a)))

simplify60.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (15.0ms)

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

prune397.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.0b

localize29.0ms

Local error

Found 4 expressions with local error:

6.4b	(* j (- (* c a) (* y i)))
7.5b	(cbrt (- (* y z) (* t a)))
7.5b	(cbrt (- (* y z) (* t a)))
7.5b	(cbrt (- (* y z) (* t a)))

rewrite46.0ms

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:

26.0ms	(* j (- (* c a) (* y i)))
6.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(cbrt (- (* y z) (* t a)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* j (- (* c a) (* y i)))
106.0ms	(cbrt (- (* y z) (* t a)))
111.0ms	(cbrt (- (* y z) (* t a)))
116.0ms	(cbrt (- (* y z) (* t a)))

simplify113.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	312	590
1	1056	543
2	3733	525
3	5002	519

prune420.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.0b

localize24.0ms

Local error

Found 4 expressions with local error:

6.7b	(* x (* (* (cbrt (- (* y z) (* t a))) (cbrt (- (* y z) (* t a)))) (cbrt (- (* y z) (* t a)))))
7.5b	(cbrt (- (* y z) (* t a)))
7.5b	(cbrt (- (* y z) (* t a)))
7.5b	(cbrt (- (* y z) (* t a)))

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`cbrt-prod` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 86

Calls

4 calls:

249.0ms	(* x (* (* (cbrt (- (* y z) (* t a))) (cbrt (- (* y z) (* t a)))) (cbrt (- (* y z) (* t a)))))
6.0ms	(cbrt (- (* y z) (* t a)))
8.0ms	(cbrt (- (* y z) (* t a)))
6.0ms	(cbrt (- (* y z) (* t a)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* x (* (* (cbrt (- (* y z) (* t a))) (cbrt (- (* y z) (* t a)))) (cbrt (- (* y z) (* t a)))))
107.0ms	(cbrt (- (* y z) (* t a)))
112.0ms	(cbrt (- (* y z) (* t a)))
113.0ms	(cbrt (- (* y z) (* t a)))

simplify100.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	436	1393
1	1151	1263
2	3736	1156
3	5001	1151

prune546.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 10.0b

localize28.0ms

Local error

Found 4 expressions with local error:

6.7b	(* x (- (* y z) (* t a)))
8.0b	(cbrt (- (* c z) (* t i)))
8.0b	(cbrt (- (* c z) (* t i)))
8.0b	(cbrt (- (* c z) (* t 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:

26.0ms	(* x (- (* y z) (* t a)))
6.0ms	(cbrt (- (* c z) (* t i)))
6.0ms	(cbrt (- (* c z) (* t i)))
6.0ms	(cbrt (- (* c z) (* t i)))

series378.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* x (- (* y z) (* t a)))
105.0ms	(cbrt (- (* c z) (* t i)))
104.0ms	(cbrt (- (* c z) (* t i)))
108.0ms	(cbrt (- (* c z) (* t i)))

simplify100.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	316	590
1	1059	543
2	3717	525
3	5002	519

prune345.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 10.0b

regimes910.0ms

Accuracy

0% (4.0b remaining)

Error of 12.4b against oracle of 8.4b and baseline of 12.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	25
1	37	25

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s

19003×

body

valid