Details

sample34.0ms

Algorithm

intervals

Results

16.0ms

523×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (91.0ms)

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: 6.6b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- t (* z z))
6.2b	(* (* y 4.0) (- t (* z z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

3.0ms	(- t (* z z))
7.0ms	(* (* y 4.0) (- t (* z z)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(- t (* z z))
84.0ms	(* (* y 4.0) (- t (* z z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	257	349
1	1187	299
2	5001	292

prune146.0ms

Filtered

60 candidates to 39 candidates (65.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	6	61

Merged error: 3.2b

Counts

61 → 6

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- t (* z z))
6.2b	(* (* y 4.0) (- t (* z z)))
44.5b	(fma (- z) z (* z z))

rewrite14.0ms

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:

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

series191.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- t (* z z))
89.0ms	(* (* y 4.0) (- t (* z z)))
62.0ms	(fma (- z) z (* z z))

simplify53.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	266	399
1	1192	342
2	5001	335

prune198.0ms

Filtered

73 candidates to 50 candidates (68.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	73	6	79

Merged error: 3.2b

Counts

79 → 6

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
9.6b	(* (* y 4.0) (- (* z z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
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

2 → 41

Calls

2 calls:

5.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
7.0ms	(* (* y 4.0) (- (* z z)))

series138.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
36.0ms	(* (* y 4.0) (- (* z z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	247	292
1	1378	241
2	5001	238

prune108.0ms

Filtered

47 candidates to 33 candidates (70.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	3	1	4
Picked	0	1	1
Done	1	0	1
Total	50	3	53

Merged error: 0.0b

Counts

53 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

5.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
7.0ms	(* (* (* y 4.0) (- z)) z)

series127.0ms

Counts

2 → 6

Calls

2 calls:

91.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
36.0ms	(* (* (* y 4.0) (- z)) z)

simplify58.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	272	306
1	1429	262
2	5001	243

prune91.0ms

Filtered

46 candidates to 31 candidates (67.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	45	4	49

Merged error: 0.0b

Counts

49 → 4

regimes161.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	27	8
2	36	8
3	36	8

end0.0ms

sample881.0ms

Algorithm

intervals

Results

481.0ms

15635×

body

valid