Details

sample21.0ms

Algorithm

intervals

Results

11.0ms

334×

body

valid

simplify153.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(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)

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

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

prune29.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.5b	(* (* (- y x) 6.0) z)

rewrite32.0ms

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:

3.0ms	(+ x (* (* (- y x) 6.0) z))
13.0ms	(* (- y x) 6.0)
15.0ms	(* (* (- y x) 6.0) z)

series112.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ x (* (* (- y x) 6.0) z))
28.0ms	(* (- y x) 6.0)
37.0ms	(* (* (- y x) 6.0) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (36.0ms)

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

prune140.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
0.5b	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
0.6b	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
0.6b	(* (- y x) (sqrt 6.0))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

3.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
68.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
20.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
12.0ms	(* (- y x) (sqrt 6.0))

series483.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z))
157.0ms	(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) z)
97.0ms	(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
65.0ms	(* (- y x) (sqrt 6.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	352	652
1	1746	516
2	5002	497

prune205.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

10.0ms	(* (- y x) 6.0)
0.0ms	(fma (* (- y x) 6.0) z x)

series71.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- y x) 6.0)
41.0ms	(fma (* (- y x) 6.0) z x)

simplify62.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	144	163
1	504	137
2	2425	137
3	5003	137

prune83.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes81.0ms

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

sample561.0ms

Algorithm

intervals

Results

363.0ms

10141×

body

valid