Details

sample63.0ms

Algorithm

intervals

Results

33.0ms

506×

body

valid

simplify110.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

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: 1.8b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (* (- (fma c b a)) (* c i)))
0.0b	(fma x y (* z t))
0.0b	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
6.8b	(* (- (fma c b a)) (* c i))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`distribute-lft-neg-out` `associate-r` `*-commutative` `fma-udef`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
1.0ms	(fma x y (* z t))
1.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
6.0ms	(* (- (fma c b a)) (* c i))

series985.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
51.0ms	(fma x y (* z t))
788.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
77.0ms	(* (- (fma c b a)) (* c i))

simplify51.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	284	526
1	1170	437
2	5002	427

prune571.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	73	11	84
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	74	12	86

Merged error: 1.7b

Counts

86 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 2.0 (* (- (fma c b a)) (* c i)))
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))))
6.8b	(* (- (fma c b a)) (* c i))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`associate-l`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`distribute-lft-neg-out` `associate-r` `*-commutative` `fma-udef`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 72

Calls

4 calls:

8.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
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))))
7.0ms	(* (- (fma c b a)) (* c i))

series932.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
43.0ms	(fma t z (* x y))
749.0ms	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
64.0ms	(* (- (fma c b a)) (* c i))

simplify55.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	282	526
1	1164	437
2	5001	427

prune285.0ms

Filtered

84 candidates to 58 candidates (69.0%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	85	11	96

Merged error: 1.7b

Counts

96 → 11

localize25.0ms

Local error

Found 4 expressions with local error:

6.8b	(* (- (fma c b a)) (* c i))
11.3b	(cbrt (* (- (fma c b a)) (* c i)))
11.3b	(cbrt (* (- (fma c b a)) (* c i)))
11.3b	(cbrt (* (- (fma c b a)) (* c i)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `distribute-lft-neg-in` `distribute-rgt-neg-in` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`distribute-lft-neg-out` `neg-mul-1` `associate-r` `*-commutative`

Counts

4 → 61

Calls

4 calls:

7.0ms	(* (- (fma c b a)) (* c i))
5.0ms	(cbrt (* (- (fma c b a)) (* c i)))
4.0ms	(cbrt (* (- (fma c b a)) (* c i)))
5.0ms	(cbrt (* (- (fma c b a)) (* c i)))

series699.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (- (fma c b a)) (* c i))
207.0ms	(cbrt (* (- (fma c b a)) (* c i)))
209.0ms	(cbrt (* (- (fma c b a)) (* c i)))
222.0ms	(cbrt (* (- (fma c b a)) (* c i)))

simplify123.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	253	495
1	882	441
2	4363	417
3	5001	417

prune355.0ms

Filtered

73 candidates to 60 candidates (82.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	72	12	84

Merged error: 1.7b

Counts

84 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

2.2b	(cbrt (fma c b a))
2.2b	(cbrt (fma c b a))
2.3b	(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))
3.0b	(* (cbrt (fma c b a)) (* c i))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
14×	`add-cbrt-cube`
12×	`associate-l`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt (fma c b a))
1.0ms	(cbrt (fma c b a))
9.0ms	(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))
6.0ms	(* (cbrt (fma c b a)) (* c i))

series473.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt (fma c b a))
110.0ms	(cbrt (fma c b a))
61.0ms	(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))
191.0ms	(* (cbrt (fma c b a)) (* c i))

simplify55.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	296	680
1	1143	557
2	5001	479

prune342.0ms

Filtered

88 candidates to 70 candidates (79.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	87	13	100

Merged error: 1.7b

Counts

100 → 13

regimes1.2s

Accuracy

74.8% (0.5b remaining)

Error of 1.4b against oracle of 0.9b and baseline of 2.9b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	32
1	59	32
2	69	32
3	69	32

end0.0ms

sample1.6s

Algorithm

intervals

Results

937.0ms

15305×

body

valid