Details

sample53.0ms

Algorithm

intervals

Results

26.0ms

466×

body

valid

simplify176.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	33	9
1	87	9
2	260	8
3	872	8
4	2436	8
5	4957	8
6	5001	8

prune12.0ms

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: 1.1b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
0.0b	(* 2.0 (* (- (fma c b a)) (* c i)))
0.0b	(fma x y (* z t))
4.2b	(* (- (fma c b a)) (* c i))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

59×	`associate-r`
41×	`add-sqr-sqrt`
29×	`associate-l`
18×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
14×	`unswap-sqr`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`*-commutative`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`distribute-lft-neg-out` `neg-mul-1` `fma-udef`
1×	`distribute-rgt-neg-out`

Counts

4 → 116

Calls

4 calls:

1.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
20.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
1.0ms	(fma x y (* z t))
11.0ms	(* (- (fma c b a)) (* c i))

series970.0ms

Counts

4 → 12

Calls

4 calls:

778.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
71.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
49.0ms	(fma x y (* z t))
72.0ms	(* (- (fma c b a)) (* c i))

simplify115.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (102.0ms)

Iter	Nodes	Cost
0	449	786
1	2369	697
2	5003	695

prune640.0ms

Filtered

128 candidates to 96 candidates (75.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	119	9	128
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	120	10	130

Merged error: 0.4b

Counts

130 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* x y))
0.0b	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
0.0b	(* 2.0 (* (- (fma c b a)) (* c i)))
4.2b	(* (- (fma c b a)) (* c i))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

59×	`associate-r`
41×	`add-sqr-sqrt`
29×	`associate-l`
18×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
14×	`unswap-sqr`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
5×	`*-commutative`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`distribute-lft-neg-out` `neg-mul-1` `fma-udef`
1×	`distribute-rgt-neg-out`

Counts

4 → 116

Calls

4 calls:

1.0ms	(fma t z (* x y))
1.0ms	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
19.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
11.0ms	(* (- (fma c b a)) (* c i))

series945.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(fma t z (* x y))
758.0ms	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
75.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
66.0ms	(* (- (fma c b a)) (* c i))

simplify116.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (103.0ms)

Iter	Nodes	Cost
0	447	786
1	2367	697
2	5001	695

prune378.0ms

Filtered

128 candidates to 94 candidates (73.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	121	7	128
Fresh	7	2	9
Picked	0	1	1
Done	0	0	0
Total	128	10	138

Merged error: 0.4b

Counts

138 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (- (fma c b a)) (* c i))
11.5b	(cbrt (* (- (fma c b a)) (* c i)))
11.5b	(cbrt (* (- (fma c b a)) (* c i)))
11.5b	(cbrt (* (- (fma c b a)) (* c i)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

87×	`cbrt-prod`
60×	`associate-r`
59×	`add-sqr-sqrt`
52×	`associate-l`
31×	`add-cube-cbrt` `*-un-lft-identity`
16×	`unswap-sqr`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`*-commutative`
4×	`expm1-log1p-u` `neg-mul-1` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`distribute-lft-neg-out`

Counts

4 → 158

Calls

4 calls:

11.0ms	(* (- (fma c b a)) (* c i))
11.0ms	(cbrt (* (- (fma c b a)) (* c i)))
15.0ms	(cbrt (* (- (fma c b a)) (* c i)))
12.0ms	(cbrt (* (- (fma c b a)) (* c i)))

series782.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (- (fma c b a)) (* c i))
236.0ms	(cbrt (* (- (fma c b a)) (* c i)))
238.0ms	(cbrt (* (- (fma c b a)) (* c i)))
238.0ms	(cbrt (* (- (fma c b a)) (* c i)))

simplify92.0ms

Algorithm

egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	372	1331
1	1478	1277
2	5001	1253

prune726.0ms

Filtered

170 candidates to 139 candidates (81.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	170	10	180

Merged error: 0.4b

Counts

180 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (fma c b a))
1.5b	(cbrt (fma c b a))
1.5b	(cbrt (fma c b a))
2.6b	(* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* (- (cbrt (fma c b a))) (* c i)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

133×	`add-sqr-sqrt`
74×	`unswap-sqr`
56×	`associate-r`
52×	`associate-l`
49×	`cbrt-prod` `add-cbrt-cube`
42×	`cbrt-unprod`
25×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
15×	`pow-prod-down` `prod-exp`
12×	`swap-sqr`
7×	`*-commutative`
6×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`distribute-lft-neg-out` `neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 166

Calls

4 calls:

1.0ms	(cbrt (fma c b a))
1.0ms	(cbrt (fma c b a))
2.0ms	(cbrt (fma c b a))
44.0ms	(* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* (- (cbrt (fma c b a))) (* c i)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(cbrt (fma c b a))
127.0ms	(cbrt (fma c b a))
127.0ms	(cbrt (fma c b a))
74.0ms	(* (* (cbrt (fma c b a)) (cbrt (fma c b a))) (* (- (cbrt (fma c b a))) (* c i)))

simplify202.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 2 (178.0ms)

Iter	Nodes	Cost
0	741	2254
1	4521	1843
2	5002	1729

prune551.0ms

Filtered

178 candidates to 123 candidates (69.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	178	10	188

Merged error: 0.4b

Counts

188 → 10

regimes619.0ms

Accuracy

0% (0.9b remaining)

Error of 1.6b against oracle of 0.7b and baseline of 1.6b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	31	8
2	41	8
3	41	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

776.0ms

15268×

body

valid