Details

sample42.0ms

Algorithm

intervals

Results

18.0ms

384×

body

valid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (39.0ms)

Iter	Nodes	Cost
0	38	10
1	118	9
2	428	9
3	1763	9
4	5002	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- t 1.0) a)
0.0b	(* (- y 1.0) z)
0.0b	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*l/`
18×	`add-sqr-sqrt` `flip3--` `flip--`
14×	`*-un-lft-identity`
12×	`frac-add` `add-log-exp`
10×	`add-cube-cbrt` `associate-+l+` `associate-l`
8×	`frac-sub`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-r` `prod-diff`
5×	`associate--l+`
3×	`expm1-log1p-u` `fma-def` `diff-log` `sum-log` `log1p-expm1-u`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate-+l-` `flip3-+` `flip-+`

Counts

3 → 89

Calls

3 calls:

23.0ms	(* (- t 1.0) a)
23.0ms	(* (- y 1.0) z)
156.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

series236.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(* (- t 1.0) a)
30.0ms	(* (- y 1.0) z)
174.0ms	(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))

simplify116.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	889	1207
1	4634	1105
2	5001	1099

prune355.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (- (* (- y 1.0) z)) (* (- t 1.0) a))
0.0b	(* (- t 1.0) a)
0.0b	(* (- y 1.0) z)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
12×	`associate-*l/`
10×	`associate-l`
9×	`add-cube-cbrt`
7×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
6×	`fma-neg` `associate-r` `prod-diff`
4×	`frac-sub` `distribute-neg-frac`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`associate--l-` `neg-sub0` `sub-neg` `neg-log`

Counts

3 → 80

Calls

3 calls:

22.0ms	(- (- (* (- y 1.0) z)) (* (- t 1.0) a))
26.0ms	(* (- t 1.0) a)
23.0ms	(* (- y 1.0) z)

series127.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (- (* (- y 1.0) z)) (* (- t 1.0) a))
34.0ms	(* (- t 1.0) a)
30.0ms	(* (- y 1.0) z)

simplify60.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	452	541
1	1938	480
2	5001	475

prune287.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (- y 1.0))
0.0b	(* z (- y 1.0))
0.0b	(+ (fma 1 x (- (* z (- y 1.0)))) (fma b (- (+ y t) 2.0) (- (fma (- z) (- y 1.0) (* z (- y 1.0))) (* (- t 1.0) a))))
26.3b	(fma (- z) (- y 1.0) (* z (- y 1.0)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
36×	`prod-diff`
33×	`add-cube-cbrt`
22×	`distribute-rgt-in` `distribute-lft-in`
10×	`associate-r`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u`
3×	`fma-def` `fma-udef`
2×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 121

Calls

4 calls:

27.0ms	(* z (- y 1.0))
24.0ms	(* z (- y 1.0))
6.0ms	(+ (fma 1 x (- (* z (- y 1.0)))) (fma b (- (+ y t) 2.0) (- (fma (- z) (- y 1.0) (* z (- y 1.0))) (* (- t 1.0) a))))
0.0ms	(fma (- z) (- y 1.0) (* z (- y 1.0)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* z (- y 1.0))
35.0ms	(* z (- y 1.0))
218.0ms	(+ (fma 1 x (- (* z (- y 1.0)))) (fma b (- (+ y t) 2.0) (- (fma (- z) (- y 1.0) (* z (- y 1.0))) (* (- t 1.0) a))))
41.0ms	(fma (- z) (- y 1.0) (* z (- y 1.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	325	1172
1	1160	843
2	5001	820

prune380.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	10
1	28	10
2	28	10

end0.0ms

sample1.1s

Algorithm

intervals

Results

496.0ms	12426×	body	80	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	320	valid