Details

sample116.0ms

Algorithm

intervals

Results

82.0ms

590×

body

valid

simplify89.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.2b	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
4.8b	(* b (- (* c z) (* t i)))
7.4b	(* x (- (* y z) (* t a)))

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

series726.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* y z) (* t a))
553.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
64.0ms	(* b (- (* c z) (* t i)))
68.0ms	(* x (- (* y z) (* t a)))

simplify48.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	376	645
1	1500	568
2	5001	568

prune433.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.2b

localize24.0ms

Local error

Found 4 expressions with local error:

4.2b	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
4.8b	(* b (- (* c z) (* t i)))
7.4b	(* x (- (* y z) (* t a)))
49.8b	(fma (- i) t (* i t))

rewrite21.0ms

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 a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
10.0ms	(* b (- (* c z) (* t i)))
9.0ms	(* x (- (* y z) (* t a)))
0.0ms	(fma (- i) t (* i t))

series3.6s

Counts

4 → 12

Calls

4 calls:

3.5s	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* c z) (* t i))) (* b (fma (- i) t (* i t))))))
67.0ms	(* b (- (* c z) (* t i)))
64.0ms	(* x (- (* y z) (* t a)))
26.0ms	(fma (- i) t (* i t))

simplify50.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	363	664
1	1472	577
2	5001	577

prune457.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.2b

localize27.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (- (* c z) (* t i)))
6.6b	(* x (- (* t a)))
6.6b	(* x (* y z))
49.8b	(fma (- i) t (* i t))

rewrite22.0ms

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:

9.0ms	(* b (- (* c z) (* t i)))
4.0ms	(* x (- (* t a)))
6.0ms	(* x (* y z))
0.0ms	(fma (- i) t (* i t))

series148.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* b (- (* c z) (* t i)))
28.0ms	(* x (- (* t a)))
24.0ms	(* x (* y z))
29.0ms	(fma (- i) t (* i t))

simplify54.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	345	416
1	1619	363
2	5001	363

prune546.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.4b

localize31.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (- (* c z) (* t i)))
5.3b	(* a (* x t))
6.6b	(* x (* y z))
49.8b	(fma (- i) t (* i t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`associate-l`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
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`
1×	`flip3--` `flip--` `fma-udef` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

10.0ms	(* b (- (* c z) (* t i)))
6.0ms	(* a (* x t))
6.0ms	(* x (* y z))
0.0ms	(fma (- i) t (* i t))

series139.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* b (- (* c z) (* t i)))
29.0ms	(* a (* x t))
24.0ms	(* x (* y z))
24.0ms	(fma (- i) t (* i t))

simplify44.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	342	384
1	1363	326
2	5001	326

prune426.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.0b

regimes957.0ms

Accuracy

44.1% (4.7b remaining)

Error of 9.2b against oracle of 4.5b and baseline of 13.0b

bsearch306.0ms

Steps

Iters	Range		Point
7	9.594586178208336e-23	1.6538157666807698e-21	1.1169727630375101e-22
9	-1285523271281.5593	-13210367.903403047	-1082719539.6338298

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	42
1	101	42
2	107	42
3	107	42

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.6s

18912×

body

valid