Details

sample117.0ms

Algorithm

intervals

Results

82.0ms

569×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* c z) (* i a))
5.1b	(* x (- (* y z) (* t a)))
6.2b	(* j (- (* c t) (* i y)))
7.2b	(* b (- (* c z) (* i a)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
7×	`sub-neg` `prod-diff`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

3.0ms	(- (* c z) (* i a))
9.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* j (- (* c t) (* i y)))
10.0ms	(* b (- (* c z) (* i a)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (* c z) (* i a))
85.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* j (- (* c t) (* i y)))
71.0ms	(* b (- (* c z) (* i a)))

simplify57.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	478	643
1	1976	572
2	5001	572

prune530.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.9b

localize32.0ms

Local error

Found 4 expressions with local error:

5.1b	(* x (- (* y z) (* t a)))
6.2b	(* j (fma c t (- (* y i))))
7.2b	(* b (- (* c z) (* i a)))
48.1b	(fma (- y) i (* y i))

rewrite24.0ms

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×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `prod-diff` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
2×	`flip3--` `flip--`

Counts

4 → 88

Calls

4 calls:

10.0ms	(* x (- (* y z) (* t a)))
3.0ms	(* j (fma c t (- (* y i))))
10.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- y) i (* y i))

series443.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* x (- (* y z) (* t a)))
72.0ms	(* j (fma c t (- (* y i))))
276.0ms	(* b (- (* c z) (* i a)))
26.0ms	(fma (- y) i (* y i))

simplify50.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	411	562
1	1680	493
2	5002	493

prune567.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.9b

localize33.0ms

Local error

Found 4 expressions with local error:

6.2b	(* j (fma c t (- (* y i))))
7.2b	(* b (- (* c z) (* i a)))
48.1b	(fma (- y) i (* y i))
51.4b	(fma (- a) t (* a t))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-r/` `prod-diff` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

4 → 70

Calls

4 calls:

3.0ms	(* j (fma c t (- (* y i))))
12.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- y) i (* y i))
0.0ms	(fma (- a) t (* a t))

series202.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* j (fma c t (- (* y i))))
72.0ms	(* b (- (* c z) (* i a)))
25.0ms	(fma (- y) i (* y i))
27.0ms	(fma (- a) t (* a t))

simplify116.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	282	428
1	1101	373
2	4513	373
3	5001	373

prune540.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.9b

localize32.0ms

Local error

Found 4 expressions with local error:

6.2b	(* j (fma c t (- (* y i))))
7.2b	(* b (- (* c z) (* i a)))
47.8b	(fma (- a) i (* a i))
48.1b	(fma (- y) i (* y i))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `fma-udef` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-r/` `prod-diff` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

4 → 70

Calls

4 calls:

3.0ms	(* j (fma c t (- (* y i))))
10.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- a) i (* a i))
0.0ms	(fma (- y) i (* y i))

series209.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* j (fma c t (- (* y i))))
74.0ms	(* b (- (* c z) (* i a)))
28.0ms	(fma (- a) i (* a i))
30.0ms	(fma (- y) i (* y i))

simplify122.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	275	428
1	1104	373
2	4506	373
3	5001	373

prune442.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 10.9b

regimes1.1s

Accuracy

0% (3.8b remaining)

Error of 12.5b against oracle of 8.8b and baseline of 12.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	24
1	49	24
2	49	24

end0.0ms

sample3.6s

Algorithm

intervals

Results

2.7s

19044×

body

valid