Details

sample49.0ms

Algorithm

intervals

Results

22.0ms

476×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize19.0ms

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))))
3.2b	(* (- (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:

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))

series881.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(fma x y (* z t))
67.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
698.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
65.0ms	(* (- (fma c b a)) (* c i))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (45.0ms)

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

prune375.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma t z (* x y))
0.0b	(* 2.0 (* (- (fma c b a)) (* c i)))
0.0b	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
3.2b	(* (- (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 t z (* x y))
8.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
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))

series964.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(fma t z (* x y))
79.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
771.0ms	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
70.0ms	(* (- (fma c b a)) (* c i))

simplify52.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (44.0ms)

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

prune371.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))
1.5b	(cbrt (fma c b a))
1.5b	(cbrt (fma c b a))
1.5b	(cbrt (fma c b a))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

10.0ms	(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))
1.0ms	(cbrt (fma c b a))
1.0ms	(cbrt (fma c b a))
2.0ms	(cbrt (fma c b a))

series458.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (- (* (cbrt (fma c b a)) (cbrt (fma c b a)))) (* (cbrt (fma c b a)) (* c i)))
128.0ms	(cbrt (fma c b a))
135.0ms	(cbrt (fma c b a))
130.0ms	(cbrt (fma c b a))

simplify53.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	264	614
1	1075	499
2	5001	419

prune470.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 1.0b

localize26.0ms

Local error

Found 4 expressions with local error:

3.2b	(* (- (fma c b a)) (* c i))
10.5b	(cbrt (* (- (fma c b a)) (* c i)))
10.5b	(cbrt (* (- (fma c b a)) (* c i)))
10.5b	(cbrt (* (- (fma c b a)) (* c i)))

rewrite22.0ms

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

series788.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (- (fma c b a)) (* c i))
240.0ms	(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)))

simplify132.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (32.0ms)

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

prune432.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 1.0b

regimes978.0ms

Accuracy

0% (0.9b remaining)

Error of 1.7b against oracle of 0.8b and baseline of 1.7b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.4s

Algorithm

intervals

Results

752.0ms

14983×

body

valid