Details

sample27.0ms

Algorithm

intervals

Results

13.0ms

376×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	26	6
1	81	5
2	248	4
3	613	4
4	1295	4
5	2524	4
6	3349	4
7	4389	4
8	4648	4
9	4648	4

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* d1 d2) (* d1 d3))
0.0b	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`fma-def`
3×	`add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `diff-log` `prod-diff` `sum-log` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `flip3--` `flip3-+` `fma-neg` `flip--` `flip-+`

Counts

2 → 39

Calls

2 calls:

3.0ms	(- (* d1 d2) (* d1 d3))
13.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series75.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(- (* d1 d2) (* d1 d3))
37.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify93.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	198	230
1	768	192
2	3583	185
3	5001	183

prune105.0ms

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	(fma d1 d2 (- (* d3 d1)))
0.0b	(+ (fma d1 d2 (- (* d3 d1))) (fma (- d4 d3) d1 (* d1 d3)))
31.2b	(fma (- d4 d3) d1 (* d1 d3))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity`
5×	`add-log-exp`
4×	`add-sqr-sqrt` `add-cube-cbrt` `fma-udef`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `add-cbrt-cube` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 39

Calls

3 calls:

0.0ms	(fma d1 d2 (- (* d3 d1)))
3.0ms	(+ (fma d1 d2 (- (* d3 d1))) (fma (- d4 d3) d1 (* d1 d3)))
0.0ms	(fma (- d4 d3) d1 (* d1 d3))

series132.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(fma d1 d2 (- (* d3 d1)))
58.0ms	(+ (fma d1 d2 (- (* d3 d1))) (fma (- d4 d3) d1 (* d1 d3)))
31.0ms	(fma (- d4 d3) d1 (* d1 d3))

simplify73.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	120	274
1	434	239
2	2248	235
3	5002	231

prune154.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (fma d1 (- d4 d3) (* d1 (- d2 d3))) (* d1 d3))
0.0b	(fma d1 (- d4 d3) (* d1 (- d2 d3)))
0.0b	(* d1 (- d2 d3))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

2.0ms	(+ (fma d1 (- d4 d3) (* d1 (- d2 d3))) (* d1 d3))
0.0ms	(fma d1 (- d4 d3) (* d1 (- d2 d3)))
12.0ms	(* d1 (- d2 d3))

series133.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(+ (fma d1 (- d4 d3) (* d1 (- d2 d3))) (* d1 d3))
48.0ms	(fma d1 (- d4 d3) (* d1 (- d2 d3)))
34.0ms	(* d1 (- d2 d3))

simplify48.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	299	568
1	1249	412
2	5002	348

prune168.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d1 (- d2 d3) (fma (- d4 d3) d1 (* d1 d3)))
31.2b	(fma (- d4 d3) d1 (* d1 d3))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

0.0ms	(fma d1 (- d2 d3) (fma (- d4 d3) d1 (* d1 d3)))
0.0ms	(fma (- d4 d3) d1 (* d1 d3))

series84.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(fma d1 (- d2 d3) (fma (- d4 d3) d1 (* d1 d3)))
31.0ms	(fma (- d4 d3) d1 (* d1 d3))

simplify98.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	54	136
1	121	114
2	486	114
3	3164	114
4	5001	114

prune84.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes78.0ms

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	18	9
1	20	9
2	20	9

end0.0ms

sample724.0ms

Algorithm

intervals

Results

410.0ms

11955×

body

valid