Details

sample17.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify27.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	9
1	40	9
2	78	9
3	134	9
4	200	9
5	233	9
6	239	9
7	239	9

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 29.6b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
2.8b	(- (* x x) (* (* y 4.0) y))
29.1b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `fma-def` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `clear-num` `sum-log` `div-inv`

Counts

3 → 64

Calls

3 calls:

4.0ms	(+ (* x x) (* (* y 4.0) y))
4.0ms	(- (* x x) (* (* y 4.0) y))
15.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* x x) (* (* y 4.0) y))
53.0ms	(- (* x x) (* (* y 4.0) y))
68.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	254	719
1	1175	657
2	5001	641

prune192.0ms

Filtered

73 candidates to 59 candidates (80.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	69	4	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Merged error: 0.3b

Counts

74 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

2.2b	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
2.2b	(/ x (/ (fma x x (* (* y 4.0) y)) x))
15.6b	(/ (fma x x (* (* y 4.0) y)) x)
16.7b	(/ (fma x x (* (* y 4.0) y)) y)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

124×	`times-frac`
76×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`associate-/r*`
25×	`add-exp-log` `add-cbrt-cube`
11×	`cbrt-undiv` `div-exp`
10×	`div-inv` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `associate-/r/` `cbrt-unprod`

Counts

4 → 178

Calls

4 calls:

7.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
6.0ms	(/ x (/ (fma x x (* (* y 4.0) y)) x))
3.0ms	(/ (fma x x (* (* y 4.0) y)) x)
4.0ms	(/ (fma x x (* (* y 4.0) y)) y)

series269.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (* y 4.0) (/ (fma x x (* (* y 4.0) y)) y))
64.0ms	(/ x (/ (fma x x (* (* y 4.0) y)) x))
70.0ms	(/ (fma x x (* (* y 4.0) y)) x)
73.0ms	(/ (fma x x (* (* y 4.0) y)) y)

simplify102.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	613	1740
1	3220	1580
2	5001	1575

prune507.0ms

Filtered

190 candidates to 143 candidates (75.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	190	4	194

Merged error: 0.3b

Counts

194 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
0.0b	(+ (* x x) (* (* y 4.0) y))
2.8b	(- (* x x) (* (* y 4.0) y))
29.1b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
16×	`log-pow`
15×	`exp-prod`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`log-prod` `flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`flip3--` `div-sub` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `log-div` `fma-def` `frac-2neg` `exp-diff` `fma-neg` `diff-log` `div-exp` `rem-log-exp` `prod-diff` `clear-num` `sum-log`

Counts

4 → 94

Calls

4 calls:

9.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
4.0ms	(+ (* x x) (* (* y 4.0) y))
4.0ms	(- (* x x) (* (* y 4.0) y))
10.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
45.0ms	(+ (* x x) (* (* y 4.0) y))
44.0ms	(- (* x x) (* (* y 4.0) y))
71.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	309	1089
1	1234	1002
2	5002	989

prune300.0ms

Filtered

106 candidates to 84 candidates (79.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	106	4	110

Merged error: 0.3b

Counts

110 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 0.3b

Counts

4 → 4

regimes198.0ms

Accuracy

60.9% (11.8b remaining)

Error of 12.2b against oracle of 0.4b and baseline of 30.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms

sample386.0ms

Algorithm

intervals

Results

247.0ms

8000×

body

valid