Details

sample53.0ms

Algorithm

intervals

Results

20.0ms

471×

body

valid

simplify99.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize18.0ms

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))))
7.2b	(* (- (fma c b a)) (* c i))

rewrite65.0ms

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:

0.0ms	(fma x y (* z t))
44.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
0.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
19.0ms	(* (- (fma c b a)) (* c i))

series801.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma x y (* z t))
62.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
651.0ms	(fma 2.0 (fma x y (* z t)) (* 2.0 (* (- (fma c b a)) (* c i))))
54.0ms	(* (- (fma c b a)) (* c i))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (37.0ms)

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

prune299.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.5b

localize15.0ms

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))))
7.2b	(* (- (fma c b a)) (* c i))

rewrite66.0ms

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:

44.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
0.0ms	(fma t z (* x y))
0.0ms	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
19.0ms	(* (- (fma c b a)) (* c i))

series797.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* 2.0 (* (- (fma c b a)) (* c i)))
42.0ms	(fma t z (* x y))
643.0ms	(fma 2.0 (fma t z (* x y)) (* 2.0 (* (- (fma c b a)) (* c i))))
55.0ms	(* (- (fma c b a)) (* c i))

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (36.0ms)

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

prune293.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 2.0 (fma x y (* z t)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
0.4b	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
0.4b	(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
7.2b	(* (- (fma c b a)) (* c i))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

0.0ms	(fma 2.0 (fma x y (* z t)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
45.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
122.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
19.0ms	(* (- (fma c b a)) (* c i))

series1.4s

Counts

4 → 12

Calls

4 calls:

957.0ms	(fma 2.0 (fma x y (* z t)) (* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
144.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
229.0ms	(* (sqrt 2.0) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
55.0ms	(* (- (fma c b a)) (* c i))

simplify56.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	390	870
1	1708	708
2	5001	674

prune368.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
0.3b	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
0.4b	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
7.2b	(* (- (fma c b a)) (* c i))

rewrite518.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 124

Calls

4 calls:

119.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
329.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
47.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
19.0ms	(* (- (fma c b a)) (* c i))

series826.0ms

Counts

4 → 12

Calls

4 calls:

392.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i))))
238.0ms	(* (sqrt (sqrt 2.0)) (* (sqrt (sqrt 2.0)) (* (sqrt 2.0) (* (- (fma c b a)) (* c i)))))
141.0ms	(* (sqrt 2.0) (* (- (fma c b a)) (* c i)))
55.0ms	(* (- (fma c b a)) (* c i))

simplify71.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	459	1297
1	2197	1030
2	5003	975

prune474.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 1.5b

regimes557.0ms

Accuracy

0% (1.1b remaining)

Error of 2.0b against oracle of 0.9b and baseline of 2.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	17
1	44	17
2	56	17
3	73	17
4	76	17
5	76	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

663.0ms

14937×

body

valid