Details

sample96.0ms

Algorithm

intervals

Results

56.0ms

672×

body

valid

simplify91.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 11.7b

Counts

2 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
3.1b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
4.8b	(* b (- (* c z) (* i a)))
6.1b	(* x (- (* y z) (* t a)))

rewrite20.0ms

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:

4.0ms	(- (* c z) (* i a))
1.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
6.0ms	(* b (- (* c z) (* i a)))
6.0ms	(* x (- (* y z) (* t a)))

series738.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c z) (* i a))
561.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
68.0ms	(* b (- (* c z) (* i a)))
72.0ms	(* x (- (* y z) (* t a)))

simplify56.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 1 (11.0ms)

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

prune426.0ms

Filtered

94 candidates to 73 candidates (77.7%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	82	12	94
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	83	13	96

Merged error: 4.9b

Counts

96 → 13

localize25.0ms

Local error

Found 4 expressions with local error:

3.1b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* z c) (* a i))) (* b (fma (- a) i (* a i))))))
4.8b	(* b (- (* z c) (* a i)))
6.1b	(* x (- (* y z) (* t a)))
51.4b	(fma (- a) i (* a i))

rewrite16.0ms

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:

1.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* z c) (* a i))) (* b (fma (- a) i (* a i))))))
6.0ms	(* b (- (* z c) (* a i)))
6.0ms	(* x (- (* y z) (* t a)))
1.0ms	(fma (- a) i (* a i))

series3.7s

Counts

4 → 12

Calls

4 calls:

3.5s	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* b (- (* z c) (* a i))) (* b (fma (- a) i (* a i))))))
71.0ms	(* b (- (* z c) (* a i)))
68.0ms	(* x (- (* y z) (* t a)))
26.0ms	(fma (- a) i (* a i))

simplify51.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	365	664
1	1456	577
2	5001	577

prune426.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	89	12	101

Merged error: 4.9b

Counts

101 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

3.1b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* b (* c z)) (* b (- (* i a))))))
4.4b	(* b (- (* i a)))
6.1b	(* x (- (* y z) (* t a)))
7.0b	(* b (* c z))

rewrite24.0ms

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:

1.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* b (* c z)) (* b (- (* i a))))))
5.0ms	(* b (- (* i a)))
7.0ms	(* x (- (* y z) (* t a)))
5.0ms	(* b (* c z))

series743.0ms

Counts

4 → 12

Calls

4 calls:

617.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* b (* c z)) (* b (- (* i a))))))
25.0ms	(* b (- (* i a)))
74.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* b (* c z))

simplify57.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	380	576
1	1736	498
2	5002	495

prune414.0ms

Filtered

94 candidates to 70 candidates (74.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	93	13	106

Merged error: 4.8b

Counts

106 → 13

localize22.0ms

Local error

Found 4 expressions with local error:

3.1b	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* (* b c) z) (* b (- (* i a))))))
4.4b	(* b (- (* i a)))
4.6b	(* (* b c) z)
6.1b	(* x (- (* y z) (* t a)))

rewrite24.0ms

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:

1.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* (* b c) z) (* b (- (* i a))))))
5.0ms	(* b (- (* i a)))
6.0ms	(* (* b c) z)
10.0ms	(* x (- (* y z) (* t a)))

series763.0ms

Counts

4 → 12

Calls

4 calls:

634.0ms	(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (+ (* (* b c) z) (* b (- (* i a))))))
26.0ms	(* b (- (* i a)))
31.0ms	(* (* b c) z)
71.0ms	(* x (- (* y z) (* t a)))

simplify60.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	387	577
1	1855	499
2	5001	497

prune368.0ms

Filtered

94 candidates to 69 candidates (73.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	94	13	107

Merged error: 4.8b

Counts

107 → 13

regimes872.0ms

Accuracy

72.9% (2.1b remaining)

Error of 7.4b against oracle of 5.3b and baseline of 12.9b

bsearch4.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	50
1	74	50
2	75	50
3	75	50

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.6s

19148×

body

valid