Details

sample86.0ms

Algorithm

intervals

Results

38.0ms

642×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* c t) (* i y))
4.0b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
5.2b	(* b (- (* c z) (* i a)))
6.4b	(* x (- (* y z) (* t a)))

rewrite70.0ms

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:

10.0ms	(- (* c t) (* i y))
0.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
27.0ms	(* b (- (* c z) (* i a)))
30.0ms	(* x (- (* y z) (* t a)))

series701.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(- (* c t) (* i y))
536.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
63.0ms	(* b (- (* c z) (* i a)))
61.0ms	(* x (- (* y z) (* t a)))

simplify50.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	423	646
1	1659	568
2	5001	568

prune438.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.4b

localize24.0ms

Local error

Found 4 expressions with local error:

4.0b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* i a))) (* b (fma (- a) i (* a i))))))
5.2b	(* b (- (* c z) (* i a)))
6.4b	(* x (- (* y z) (* t a)))
51.2b	(fma (- a) i (* a i))

rewrite59.0ms

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:

0.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* i a))) (* b (fma (- a) i (* a i))))))
29.0ms	(* b (- (* c z) (* i a)))
27.0ms	(* x (- (* y z) (* t a)))
0.0ms	(fma (- a) i (* a i))

series3.2s

Counts

4 → 12

Calls

4 calls:

3.0s	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* i a))) (* b (fma (- a) i (* a i))))))
63.0ms	(* b (- (* c z) (* i a)))
62.0ms	(* x (- (* y z) (* t a)))
24.0ms	(fma (- a) i (* a i))

simplify45.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	360	664
1	1457	577
2	5002	577

prune468.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.4b

localize27.0ms

Local error

Found 4 expressions with local error:

5.0b	(* x (- (* t a)))
5.0b	(* x (* y z))
5.2b	(* b (- (* c z) (* i a)))
51.2b	(fma (- a) i (* a i))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

12.0ms	(* x (- (* t a)))
17.0ms	(* x (* y z))
31.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- a) i (* a i))

series139.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* x (- (* t a)))
27.0ms	(* x (* y z))
60.0ms	(* b (- (* c z) (* i a)))
27.0ms	(fma (- a) i (* a i))

simplify50.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	346	416
1	1622	363
2	5001	360

prune523.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.0b

localize27.0ms

Local error

Found 4 expressions with local error:

4.4b	(* (* x y) z)
5.0b	(* x (- (* t a)))
5.2b	(* b (- (* c z) (* i a)))
51.2b	(fma (- a) i (* a i))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

18.0ms	(* (* x y) z)
12.0ms	(* x (- (* t a)))
31.0ms	(* b (- (* c z) (* i a)))
0.0ms	(fma (- a) i (* a i))

series137.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* x y) z)
25.0ms	(* x (- (* t a)))
62.0ms	(* b (- (* c z) (* i a)))
24.0ms	(fma (- a) i (* a i))

simplify52.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	356	417
1	1781	364
2	5001	361

prune444.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.5b

regimes961.0ms

Accuracy

4.2% (9.1b remaining)

Error of 12.3b against oracle of 3.3b and baseline of 12.7b

bsearch204.0ms

Steps

Iters	Range		Point
6	2.2830925651785564e+121	1.784232747368508e+122	1.6224269897276793e+122
8	-2.9868593335480247e-268	-1.961985116338623e-271	-2.3295746151951428e-268

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	53
1	93	53
2	98	53
3	98	53

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s

19220×

body

valid