Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify17.0ms

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

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

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:

17.0ms

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

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

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

simplify33.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (29.0ms)

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

prune53.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b b) (* a b))
0.0b	(+ (* a a) (- (* b b) (* a b)))
0.3b	(* (+ a b) (+ (pow a 3) (pow b 3)))
0.5b	(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
14×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`frac-times` `add-cube-cbrt` `associate-/l/`
6×	`pow1` `distribute-lft-out`
4×	`expm1-log1p-u` `unpow-prod-down` `cube-prod` `associate-r/` `associate-l` `associate-l/` `log1p-expm1-u`
3×	`associate-+r+` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `prod-diff` `prod-exp` `sum-log` `associate-/r/` `cbrt-unprod`
1×	`+-commutative` `distribute-rgt-in` `associate-+r-` `flip3--` `distribute-rgt-out--` `fma-def` `frac-2neg` `distribute-lft-in` `fma-neg` `pow-prod-down` `clear-num` `sum-cubes` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

3.0ms	(- (* b b) (* a b))
7.0ms	(+ (* a a) (- (* b b) (* a b)))
62.0ms	(* (+ a b) (+ (pow a 3) (pow b 3)))
33.0ms	(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

series156.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* b b) (* a b))
21.0ms	(+ (* a a) (- (* b b) (* a b)))
51.0ms	(* (+ a b) (+ (pow a 3) (pow b 3)))
55.0ms	(/ (* (+ a b) (+ (pow a 3) (pow b 3))) (+ (* a a) (- (* b b) (* a b))))

simplify88.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	556	1008
1	3182	875
2	5001	858

prune311.0ms

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))

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify108.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (19.0ms)

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

prune36.0ms

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

sample491.0ms

Algorithm

intervals

Results

185.0ms	8000×	pre	80	true
178.0ms	8000×	body	80	valid