Details

sample59.0ms

Algorithm

intervals

Results

31.0ms

497×

body

valid

simplify118.0ms

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

prune17.0ms

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 x y (* z t))
0.0b	(* 2.0 (* (- (fma c b a)) (* c i)))
0.0b	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
5.7b	(* (- (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:

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

series970.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(fma x y (* z t))
81.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
772.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
72.0ms	(* (- (fma c b a)) (* c i))

simplify54.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (45.0ms)

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

prune333.0ms

Filtered

84 candidates to 60 candidates (71.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	74	10	84
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	74	12	86

Merged error: 1.0b

Counts

86 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

5.7b	(* (- (fma c b a)) (* c i))
10.3b	(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
10.3b	(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
10.3b	(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))

rewrite28.0ms

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:

6.0ms	(* (- (fma c b a)) (* c i))
6.0ms	(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
7.0ms	(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
7.0ms	(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))

series819.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* (- (fma c b a)) (* c i))
248.0ms	(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
246.0ms	(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))
254.0ms	(cbrt (* 2.0 (* (- (fma c b a)) (* c i))))

simplify136.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	261	534
1	911	474
2	4510	450
3	5001	450

prune406.0ms

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	1	0	1
Done	0	1	1
Total	73	12	85

Merged error: 1.0b

Counts

85 → 12

localize21.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (fma c b a))
1.5b	(cbrt (fma c b a))
1.8b	(* (cbrt (fma c b a)) (* c i))
3.1b	(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

rewrite21.0ms

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))
6.0ms	(* (cbrt (fma c b a)) (* c i))
10.0ms	(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (fma c b a))
132.0ms	(cbrt (fma c b a))
222.0ms	(* (cbrt (fma c b a)) (* c i))
74.0ms	(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))

simplify53.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (44.0ms)

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

prune413.0ms

Filtered

88 candidates to 69 candidates (78.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	88	12	100

Merged error: 1.0b

Counts

100 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (fma c b a))
1.5b	(cbrt (fma c b a))
1.8b	(* (cbrt (fma c b a)) (* c i))
2.3b	(* (cbrt (fma c b a)) (* (cbrt (fma c b a)) (* c i)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log`
12×	`cbrt-prod` `associate-l`
11×	`add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt (fma c b a))
1.0ms	(cbrt (fma c b a))
6.0ms	(* (cbrt (fma c b a)) (* c i))
15.0ms	(* (cbrt (fma c b a)) (* (cbrt (fma c b a)) (* c i)))

series751.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (fma c b a))
129.0ms	(cbrt (fma c b a))
224.0ms	(* (cbrt (fma c b a)) (* c i))
265.0ms	(* (cbrt (fma c b a)) (* (cbrt (fma c b a)) (* c i)))

simplify138.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (122.0ms)

Iter	Nodes	Cost
0	288	537
1	897	487
2	4151	451
3	5001	449

prune607.0ms

Filtered

87 candidates to 68 candidates (78.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	87	12	99

Merged error: 1.0b

Counts

99 → 12

regimes1.2s

Accuracy

0% (1.1b remaining)

Error of 1.9b against oracle of 0.9b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

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

sample1.6s

Algorithm

intervals

Results

938.0ms

15147×

body

valid