Details

sample156.0ms

Algorithm

intervals

Results

118.0ms

634×

body

valid

simplify80.0ms

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: 10.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.0b	(* x (- (* y z) (* t a)))
4.7b	(* j (- (* c a) (* y i)))
5.6b	(* b (- (* c z) (* t i)))

rewrite36.0ms

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:

2.0ms	(- (* y z) (* t a))
10.0ms	(* x (- (* y z) (* t a)))
9.0ms	(* j (- (* c a) (* y i)))
10.0ms	(* b (- (* c z) (* t i)))

series244.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* y z) (* t a))
72.0ms	(* x (- (* y z) (* t a)))
69.0ms	(* j (- (* c a) (* y i)))
66.0ms	(* b (- (* c z) (* t i)))

simplify54.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

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

prune434.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.4b

localize26.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (* x (- (* y z) (* t a))))
4.8b	(cbrt (* x (- (* y z) (* t a))))
4.8b	(cbrt (* x (- (* y z) (* t a))))
5.6b	(* 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:

4.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
10.0ms	(* b (- (* c z) (* t i)))

series494.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (* x (- (* y z) (* t a))))
139.0ms	(cbrt (* x (- (* y z) (* t a))))
145.0ms	(cbrt (* x (- (* y z) (* t a))))
71.0ms	(* b (- (* c z) (* t i)))

simplify117.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	311	542
1	1096	489
2	4134	480
3	5002	477

prune455.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.4b

localize36.0ms

Local error

Found 4 expressions with local error:

4.8b	(cbrt (* x (- (* y z) (* t a))))
4.8b	(cbrt (* x (- (* y z) (* t a))))
5.6b	(* b (- (* c z) (* t i)))
6.0b	(cbrt (- (* y z) (* t a)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `add-exp-log` `cbrt-div` `associate-*r/` `add-cbrt-cube`
5×	`cbrt-prod`
4×	`flip3--` `flip--` `add-log-exp`
3×	`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 → 59

Calls

4 calls:

4.0ms	(cbrt (* x (- (* y z) (* t a))))
4.0ms	(cbrt (* x (- (* y z) (* t a))))
9.0ms	(* b (- (* c z) (* t i)))
2.0ms	(cbrt (- (* y z) (* t a)))

series468.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (* x (- (* y z) (* t a))))
136.0ms	(cbrt (* x (- (* y z) (* t a))))
71.0ms	(* b (- (* c z) (* t i)))
116.0ms	(cbrt (- (* y z) (* t a)))

simplify115.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	382	558
1	1275	507
2	4674	493
3	5002	493

prune524.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.4b

localize32.0ms

Local error

Found 4 expressions with local error:

5.6b	(* b (- (* c z) (* t i)))
6.0b	(cbrt (- (* y z) (* t a)))
6.0b	(cbrt (- (* y z) (* t a)))
6.0b	(cbrt (- (* y z) (* t a)))

rewrite18.0ms

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:

10.0ms	(* b (- (* c z) (* t i)))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))
2.0ms	(cbrt (- (* y z) (* t a)))

series424.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* b (- (* c z) (* t i)))
114.0ms	(cbrt (- (* y z) (* t a)))
115.0ms	(cbrt (- (* y z) (* t a)))
125.0ms	(cbrt (- (* y z) (* t a)))

simplify99.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	311	590
1	1052	543
2	3723	525
3	5001	519

prune397.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.4b

regimes1.0s

Accuracy

0% (4.0b remaining)

Error of 12.6b against oracle of 8.5b and baseline of 12.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	19
1	37	19

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.5s

19263×

body

valid