Details

sample27.0ms

Algorithm

intervals

Results

17.0ms

329×

body

valid

simplify149.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	15	4
1	32	3
2	73	3
3	150	3
4	235	3
5	277	3
6	317	3
7	371	3
8	542	3
9	974	3
10	2015	3
11	2736	3
12	3606	3
13	4676	3
14	5001	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (- y x) (* 6.0 z) x)

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 (- y x) (* 6.0 z) x)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma (- y x) (* 6.0 z) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	44	69
1	110	59
2	343	53
3	1684	53
4	5002	53

prune30.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.4b	(* (* (- y x) 6.0) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`flip3--` `*-commutative` `flip--`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 62

Calls

3 calls:

2.0ms	(+ x (* (* (- y x) 6.0) z))
10.0ms	(* (- y x) 6.0)
15.0ms	(* (* (- y x) 6.0) z)

series114.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (* (* (- y x) 6.0) z))
29.0ms	(* (- y x) 6.0)
39.0ms	(* (* (- y x) 6.0) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	259	314
1	1122	267
2	5002	265

prune129.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* y y) (* x x)) 6.0)
0.4b	(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
3.1b	(- (* y y) (* x x))
24.0b	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

10.0ms	(* (- (* y y) (* x x)) 6.0)
22.0ms	(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
3.0ms	(- (* y y) (* x x))
12.0ms	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

series204.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- (* y y) (* x x)) 6.0)
67.0ms	(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
31.0ms	(- (* y y) (* x x))
63.0ms	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

simplify62.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	435	798
1	2183	668
2	5001	662

prune247.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 6.0 (+ y x))
0.4b	(* (* (- (* y y) (* x x)) (/ 6.0 (+ y x))) z)
3.1b	(- (* y y) (* x x))
24.1b	(* (- (* y y) (* x x)) (/ 6.0 (+ y x)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
9×	`associate-*l/`
7×	`prod-exp` `cbrt-unprod` `distribute-lft-out`
6×	`add-log-exp`
5×	`flip3--` `associate-l` `flip--`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-/r*` `associate-/r/` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`flip3-+` `associate-r/` `-commutative` `flip-+` `div-inv` `difference-of-squares` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-diff` `clear-num`

Counts

4 → 123

Calls

4 calls:

5.0ms	(/ 6.0 (+ y x))
31.0ms	(* (* (- (* y y) (* x x)) (/ 6.0 (+ y x))) z)
3.0ms	(- (* y y) (* x x))
22.0ms	(* (- (* y y) (* x x)) (/ 6.0 (+ y x)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ 6.0 (+ y x))
68.0ms	(* (* (- (* y y) (* x x)) (/ 6.0 (+ y x))) z)
31.0ms	(- (* y y) (* x x))
63.0ms	(* (- (* y y) (* x x)) (/ 6.0 (+ y x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	453	923
1	2211	800
2	5001	784

prune274.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample679.0ms

Algorithm

intervals

Results

471.0ms

10151×

body

valid