Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

401×

body

valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

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 (- d2 d3) d1 (* d1 (- d4 d1)))

series53.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify101.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	45	72
1	106	61
2	507	59
3	2708	59
4	5001	59

prune38.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

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))
17.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

series74.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(- (* d1 d2) (* d1 d3))
37.0ms	(+ (- (* d1 d2) (* d1 d3)) (* d4 d1))

simplify95.0ms

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

prune111.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

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)))
29.7b	(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))

series134.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(fma d1 d2 (- (* d3 d1)))
60.0ms	(+ (fma d1 d2 (- (* d3 d1))) (fma (- d4 d3) d1 (* d1 d3)))
32.0ms	(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

prune163.0ms

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

rewrite18.0ms

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:

13.0ms	(* d1 (- d2 d3))
3.0ms	(+ (fma d1 (- d4 d3) (* d1 (- d2 d3))) (* d1 d3))
0.0ms	(fma d1 (- d4 d3) (* d1 (- d2 d3)))

series135.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* d1 (- d2 d3))
54.0ms	(+ (fma d1 (- d4 d3) (* d1 (- d2 d3))) (* d1 d3))
46.0ms	(fma d1 (- d4 d3) (* d1 (- d2 d3)))

simplify44.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (38.0ms)

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

prune172.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes60.0ms

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	15	8
1	15	8

end0.0ms

sample697.0ms

Algorithm

intervals

Results

395.0ms

11985×

body

valid