Details

sample73.0ms

Algorithm

intervals

Results

37.0ms

647×

body

valid

simplify77.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
4.0b	(* j (- (* c t) (* i y)))
4.8b	(* b (- (* c z) (* i a)))
5.9b	(* x (- (* y z) (* t a)))

rewrite22.0ms

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:

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

series240.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* c z) (* i a))
65.0ms	(* j (- (* c t) (* i y)))
67.0ms	(* b (- (* c z) (* i a)))
68.0ms	(* x (- (* y z) (* t a)))

simplify58.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	425	552
1	1771	485
2	5002	485

prune420.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.1b

localize25.0ms

Local error

Found 4 expressions with local error:

4.0b	(* j (- (* c t) (* i y)))
4.8b	(* b (- (* c z) (* i a)))
6.0b	(* x (- (* t a)))
6.2b	(* x (* y z))

rewrite24.0ms

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:

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

series189.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* j (- (* c t) (* i y)))
68.0ms	(* b (- (* c z) (* i a)))
28.0ms	(* x (- (* t a)))
25.0ms	(* x (* y z))

simplify65.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	444	484
1	2062	419
2	5001	419

prune461.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.3b

localize26.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (* x t) (- a))
4.0b	(* j (- (* c t) (* i y)))
4.8b	(* b (- (* c z) (* i a)))
6.2b	(* x (* y z))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

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

series192.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x t) (- a))
71.0ms	(* j (- (* c t) (* i y)))
69.0ms	(* b (- (* c z) (* i a)))
24.0ms	(* x (* y z))

simplify68.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	503	500
1	2315	430
2	5002	430

prune460.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.1b

localize22.0ms

Local error

Found 4 expressions with local error:

3.9b	(* (* x t) (- a))
4.0b	(* j (- (* c t) (* i y)))
4.1b	(* (* x y) z)
4.8b	(* b (- (* c z) (* i a)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

6.0ms	(* (* x t) (- a))
6.0ms	(* j (- (* c t) (* i y)))
5.0ms	(* (* x y) z)
8.0ms	(* b (- (* c z) (* i a)))

series194.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x t) (- a))
67.0ms	(* j (- (* c t) (* i y)))
28.0ms	(* (* x y) z)
67.0ms	(* b (- (* c z) (* i a)))

simplify71.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	510	501
1	2467	431
2	5001	431

prune367.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 4.0b

regimes1.0s

Accuracy

12.1% (5.9b remaining)

Error of 11.5b against oracle of 5.6b and baseline of 12.3b

bsearch99.0ms

Steps

Iters	Range		Point
7	1.1859446485540357e-50	6.698303343205029e-49	1.3080697377411826e-50

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	41
1	69	41
2	78	41
3	78	41

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.1s

18975×

body

valid