Details

sample83.0ms

Algorithm

intervals

Results

44.0ms

625×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (7.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
3.0b	(* x (- (* y z) (* t a)))
5.4b	(* j (- (* c a) (* y i)))
6.3b	(* 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×	`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))
10.0ms	(* x (- (* y z) (* t a)))
11.0ms	(* j (- (* c a) (* y i)))
10.0ms	(* b (- (* c z) (* t i)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(- (* y z) (* t a))
72.0ms	(* x (- (* y z) (* t a)))
67.0ms	(* j (- (* c a) (* y i)))
77.0ms	(* b (- (* c z) (* t i)))

simplify71.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	476	643
1	1969	572
2	5002	572

prune542.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 8.0b

localize26.0ms

Local error

Found 4 expressions with local error:

3.0b	(* x (fma y z (- (* a t))))
5.4b	(* j (- (* c a) (* y i)))
6.3b	(* b (- (* c z) (* t i)))
48.9b	(fma (- a) t (* a t))

rewrite29.0ms

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	(* j (- (* c a) (* y i)))
13.0ms	(* b (- (* c z) (* t i)))
0.0ms	(fma (- a) t (* a t))

series239.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* x (fma y z (- (* a t))))
66.0ms	(* j (- (* c a) (* y i)))
72.0ms	(* b (- (* c z) (* t i)))
27.0ms	(fma (- a) t (* a t))

simplify54.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	410	562
1	1678	493
2	5001	493

prune576.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.0b

localize31.0ms

Local error

Found 4 expressions with local error:

5.4b	(* j (- (* c a) (* y i)))
6.3b	(* b (- (* c z) (* t i)))
48.9b	(fma (- a) t (* a t))
49.7b	(fma (- i) t (* i t))

rewrite22.0ms

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:

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

series194.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* j (- (* c a) (* y i)))
71.0ms	(* b (- (* c z) (* t i)))
26.0ms	(fma (- a) t (* a t))
29.0ms	(fma (- i) t (* i t))

simplify52.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	332	468
1	1336	412
2	5001	412

prune605.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.0b

localize42.0ms

Local error

Found 4 expressions with local error:

6.3b	(* b (- (* c z) (* t i)))
48.9b	(fma (- a) t (* a t))
49.7b	(fma (- i) t (* i t))
51.3b	(fma (- i) y (* i y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

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

series164.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* b (- (* c z) (* t i)))
27.0ms	(fma (- a) t (* a t))
33.0ms	(fma (- i) t (* i t))
28.0ms	(fma (- i) y (* i y))

simplify97.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	205	334
1	765	292
2	3159	292
3	5001	277

prune461.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 8.0b

regimes1.4s

Accuracy

0% (4.0b remaining)

Error of 12.6b against oracle of 8.7b and baseline of 12.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	29
1	54	29
2	54	29

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.2s

18901×

body

valid