Details

sample80.0ms

Algorithm

intervals

Results

42.0ms

647×

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: 11.7b

localize20.0ms

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)))

rewrite35.0ms

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	(- (* c z) (* i a))
12.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* b (- (* c z) (* i a)))
9.0ms	(* x (- (* y z) (* t a)))

series240.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c z) (* i a))
69.0ms	(* j (- (* c t) (* i y)))
67.0ms	(* b (- (* c z) (* i a)))
66.0ms	(* x (- (* y z) (* t a)))

simplify53.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

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

prune428.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.1b

localize23.0ms

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))

rewrite34.0ms

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:

9.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* b (- (* c z) (* i a)))
4.0ms	(* x (- (* t a)))
6.0ms	(* 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)))
24.0ms	(* x (* y z))

simplify62.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

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

prune464.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.3b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

6.0ms	(* a (* x t))
9.0ms	(* j (- (* c t) (* i y)))
9.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (* y z))

series187.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* a (* x t))
66.0ms	(* j (- (* c t) (* i y)))
68.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* x (* y z))

simplify52.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	440	454
1	1806	384
2	5001	384

prune439.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `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`
2×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* a (* x t))
9.0ms	(* j (- (* c t) (* i y)))
6.0ms	(* (* x y) z)
10.0ms	(* b (- (* c z) (* i a)))

series186.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* a (* x t))
68.0ms	(* j (- (* c t) (* i y)))
24.0ms	(* (* x y) z)
70.0ms	(* b (- (* c z) (* i a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	447	455
1	1960	385
2	5001	385

prune348.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 4.0b

regimes1.1s

Accuracy

29.3% (4.7b remaining)

Error of 10.3b against oracle of 5.6b and baseline of 12.3b

bsearch339.0ms

Steps

Iters	Range		Point
9	1.048367473579996e-40	8.84196530688945e-35	1.0660304109241224e-40
7	3.3403933442667813e-54	2.984032780726017e-52	2.9415755592289815e-52
8	-3.112048864247858e-51	-4.7318730761257044e-54	-1.4523079412932612e-51

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	75
1	92	75
2	101	75
3	101	75

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18975×

body

valid