Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

541×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (79.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	171	6
3	401	6
4	829	6
5	1090	6
6	1610	6
7	1956	6
8	2252	6
9	2367	5
10	2367	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 5.1b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x x (* (* y 4.0) (- t (* z z))))
0.0b	(- t (* z z))
4.8b	(* (* y 4.0) (- t (* z z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

1.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
3.0ms	(- t (* z z))
7.0ms	(* (* y 4.0) (- t (* z z)))

series209.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(fma x x (* (* y 4.0) (- t (* z z))))
35.0ms	(- t (* z z))
83.0ms	(* (* y 4.0) (- t (* z z)))

simplify44.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	279	440
1	1253	374
2	5002	367

prune188.0ms

Filtered

73 candidates to 50 candidates (68.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	67	6	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	6	74

Merged error: 1.5b

Counts

74 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
0.0b	(- t (* z z))
4.8b	(* (* y 4.0) (- t (* z z)))
39.9b	(fma (- z) z (* z z))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

1.0ms	(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
3.0ms	(- t (* z z))
7.0ms	(* (* y 4.0) (- t (* z z)))
1.0ms	(fma (- z) z (* z z))

series1.8s

Counts

4 → 12

Calls

4 calls:

1.6s	(fma x x (+ (* (* y 4.0) (- t (* z z))) (* (* y 4.0) (fma (- z) z (* z z)))))
40.0ms	(- t (* z z))
82.0ms	(* (* y 4.0) (- t (* z z)))
52.0ms	(fma (- z) z (* z z))

simplify47.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	293	562
1	1301	478
2	5001	467

prune280.0ms

Filtered

86 candidates to 61 candidates (70.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Merged error: 1.5b

Counts

92 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (+ (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))) (* (* y 4.0) (fma (- z) z (* z z)))))
0.0b	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
9.3b	(* (* y 4.0) (- (* z z)))
39.9b	(fma (- z) z (* z z))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`fma-udef`
1×	`+-commutative` `distribute-lft-neg-in` `neg-mul-1` `fma-def` `distribute-rgt-neg-in` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 61

Calls

4 calls:

1.0ms	(fma x x (+ (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))) (* (* y 4.0) (fma (- z) z (* z z)))))
6.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
7.0ms	(* (* y 4.0) (- (* z z)))
1.0ms	(fma (- z) z (* z z))

series2.0s

Counts

4 → 12

Calls

4 calls:

1.8s	(fma x x (+ (+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z)))) (* (* y 4.0) (fma (- z) z (* z z)))))
104.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
36.0ms	(* (* y 4.0) (- (* z z)))
62.0ms	(fma (- z) z (* z z))

simplify76.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	290	541
1	1519	446
2	5001	437

prune300.0ms

Filtered

73 candidates to 56 candidates (76.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	72	7	79

Merged error: 1.5b

Counts

79 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma x x (+ (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)) (* (* y 4.0) (fma (- z) z (* z z)))))
0.0b	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
0.2b	(* (* (* y 4.0) (- z)) z)
39.9b	(fma (- z) z (* z z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-lft-neg-out` `associate-r` `distribute-rgt-neg-out`
2×	`fma-udef`
1×	`+-commutative` `fma-def` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+`

Counts

4 → 60

Calls

4 calls:

1.0ms	(fma x x (+ (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)) (* (* y 4.0) (fma (- z) z (* z z)))))
6.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
9.0ms	(* (* (* y 4.0) (- z)) z)
1.0ms	(fma (- z) z (* z z))

series2.0s

Counts

4 → 12

Calls

4 calls:

1.8s	(fma x x (+ (+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z)) (* (* y 4.0) (fma (- z) z (* z z)))))
118.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
41.0ms	(* (* (* y 4.0) (- z)) z)
68.0ms	(fma (- z) z (* z z))

simplify75.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	314	555
1	1570	471
2	5003	450

prune257.0ms

Filtered

72 candidates to 54 candidates (75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	75	4	79

Merged error: 0.0b

Counts

79 → 4

regimes144.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	12
1	35	12
2	44	12
3	44	12

end0.0ms

sample898.0ms

Algorithm

intervals

Results

502.0ms

15703×

body

valid