Details

sample77.0ms

Algorithm

intervals

Results

40.0ms

622×

body

valid

simplify94.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
3.7b	(* x (- (* y z) (* t a)))
5.3b	(* b (- (* c z) (* i a)))
6.2b	(* j (- (* c t) (* i y)))

rewrite37.0ms

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	(- (* y z) (* t a))
11.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* b (- (* c z) (* i a)))
10.0ms	(* j (- (* c t) (* i y)))

series275.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* y z) (* t a))
74.0ms	(* x (- (* y z) (* t a)))
75.0ms	(* b (- (* c z) (* i a)))
78.0ms	(* j (- (* c t) (* i y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (14.0ms)

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

prune552.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 8.7b

localize27.0ms

Local error

Found 4 expressions with local error:

3.7b	(* x (fma y z (- (* a t))))
5.3b	(* b (- (* c z) (* i a)))
6.2b	(* j (- (* c t) (* i y)))
48.7b	(fma (- a) t (* a t))

rewrite27.0ms

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:

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

series269.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* x (fma y z (- (* a t))))
76.0ms	(* b (- (* c z) (* i a)))
75.0ms	(* j (- (* c t) (* i y)))
32.0ms	(fma (- a) t (* a t))

simplify57.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	412	562
1	1685	493
2	5001	493

prune582.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 8.7b

localize32.0ms

Local error

Found 4 expressions with local error:

5.3b	(* b (- (* c z) (* i a)))
6.2b	(* j (- (* c t) (* i y)))
48.7b	(fma (- a) t (* a t))
48.7b	(fma (- a) i (* a i))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

11.0ms	(* b (- (* c z) (* i a)))
11.0ms	(* j (- (* c t) (* i y)))
0.0ms	(fma (- a) t (* a t))
0.0ms	(fma (- a) i (* a i))

series212.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* b (- (* c z) (* i a)))
76.0ms	(* j (- (* c t) (* i y)))
29.0ms	(fma (- a) t (* a t))
33.0ms	(fma (- a) i (* a i))

simplify54.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	333	468
1	1342	412
2	5001	412

prune590.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 8.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
3.7b	(* x (- (* y z) (* t a)))
5.3b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
5.3b	(* b (- (* c z) (* i a)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

3.0ms	(- (* y z) (* t a))
11.0ms	(* x (- (* y z) (* t a)))
0.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
10.0ms	(* b (- (* c z) (* i a)))

series832.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* y z) (* t a))
83.0ms	(* x (- (* y z) (* t a)))
626.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
76.0ms	(* b (- (* c z) (* i a)))

simplify54.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	373	645
1	1485	568
2	5001	568

prune424.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.2b

regimes1.1s

Accuracy

0% (7.7b remaining)

Error of 12.4b against oracle of 4.7b and baseline of 12.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	24
1	53	24
2	53	24

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18914×

body

valid