Details

sample14.0ms

Algorithm

intervals

Results

3.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	27	3
2	66	3
3	113	3
4	145	3
5	165	3
6	182	3
7	184	3
8	184	3

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ a b) (+ a b))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
8×	`pow1`
7×	`add-sqr-sqrt`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
5×	`add-cube-cbrt`
4×	`frac-times` `associate-r` `associate-l`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-r/` `associate-l/`
1×	`pow2` `distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 42

Calls

1 calls:

31.0ms

(* (+ a b) (+ a b))

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (+ a b) (+ a b))

simplify35.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	195	218
1	958	194
2	5002	180

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b (- b a) (pow a 2))
0.2b	(* (fma b (- b a) (pow a 2)) (+ a (- b)))
0.3b	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
0.3b	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (fma b (- b a) (pow a 2)) (+ a (- b))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
20×	`add-exp-log` `add-cbrt-cube`
14×	`associate-r`
12×	`add-sqr-sqrt`
8×	`pow1` `frac-times` `add-cube-cbrt` `flip3-+` `associate-*r/` `flip-+` `associate-/l/`
7×	`associate-l` `distribute-lft-out`
6×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `unpow-prod-down` `cube-prod` `div-exp` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `associate-/r/` `*-commutative` `unswap-sqr`
1×	`distribute-rgt-neg-in` `frac-2neg` `times-frac` `clear-num` `associate-/r` `sum-cubes` `fma-udef` `div-inv` `associate-/l` `difference-of-squares`

Counts

4 → 106

Calls

4 calls:

0.0ms	(fma b (- b a) (pow a 2))
29.0ms	(* (fma b (- b a) (pow a 2)) (+ a (- b)))
85.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
49.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (fma b (- b a) (pow a 2)) (+ a (- b))))

series240.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(fma b (- b a) (pow a 2))
52.0ms	(* (fma b (- b a) (pow a 2)) (+ a (- b)))
89.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
76.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (fma b (- b a) (pow a 2)) (+ a (- b))))

simplify145.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	677	1344
1	4748	1101
2	5001	1101

prune374.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma 2 (* a b) (pow b 2))

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 2 (* a b) (pow b 2))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(fma 2 (* a b) (pow b 2))

simplify94.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	27	59
1	77	52
2	359	48
3	1849	47
4	5001	47

prune33.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

end0.0ms

sample337.0ms

Algorithm

intervals

Results

96.0ms	8000×	pre	80	true
89.0ms	8000×	body	80	valid