Details

sample21.0ms

Algorithm

intervals

Results

11.0ms	328×	body	80	valid
0.0ms	1×	body	1280	valid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	62	3
3	164	3
4	320	3
5	438	3
6	600	3
7	831	3
8	1451	3
9	2357	3
10	2545	3
11	2545	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`sub-neg` `associate-r/` `associate-l/`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 53

Calls

1 calls:

18.0ms

(* (+ x y) (- 1.0 z))

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (+ x y) (- 1.0 z))

simplify44.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	397	499
1	1589	357
2	5001	356

prune81.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))
0.0b	(* (- z) (+ x y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `fma-def` `distribute-rgt-neg-in`
2×	`distribute-rgt-in` `expm1-log1p-u` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `associate-+l+` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `fma-udef` `distribute-lft-out` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

3.0ms	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))
12.0ms	(* (- z) (+ x y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (fma 1.0 x (* 1.0 y)) (* (- z) (+ x y)))
36.0ms	(* (- z) (+ x y))

simplify37.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	289	302
1	1292	273
2	5002	261

prune130.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 1.0 y (- (fma x z (* z y))))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma 1.0 y (- (fma x z (* z y))))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(fma 1.0 y (- (fma x z (* z y))))

simplify45.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	32	73
1	78	64
2	259	64
3	1397	64
4	5001	64

prune30.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

1.2b	(* (- (* x x) (* y y)) (- 1.0 z))
3.3b	(- (* x x) (* y y))
26.7b	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt` `prod-diff`
14×	`flip3--` `flip--`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp` `difference-of-squares`
4×	`associate-r/` `associate-l` `associate-l/`
3×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
1×	`frac-2neg` `fma-neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 107

Calls

3 calls:

18.0ms	(* (- (* x x) (* y y)) (- 1.0 z))
3.0ms	(- (* x x) (* y y))
16.0ms	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

series135.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* (- (* x x) (* y y)) (- 1.0 z))
29.0ms	(- (* x x) (* y y))
57.0ms	(/ (* (- (* x x) (* y y)) (- 1.0 z)) (- x y))

simplify80.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	564	1136
1	2995	926
2	5002	920

prune224.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	20	6
2	25	6
3	25	6

end0.0ms

sample568.0ms

Algorithm

intervals

Results

364.0ms	10141×	body	80	valid
0.0ms	1×	body	1280	valid