Details

sample15.0ms

Algorithm

intervals

Results

4.0ms	256×	pre	80	true
3.0ms	256×	body	80	valid

simplify19.0ms

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

prune2.0ms

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))

rewrite23.0ms

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:

22.0ms

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

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (32.0ms)

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

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* a a) (* b b))
0.3b	(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))
0.3b	(* (- (* a a) (* b b)) (+ a b))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `flip--` `associate-/l/`
7×	`add-cube-cbrt`
6×	`flip3-+` `flip-+`
5×	`pow1` `times-frac` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-r` `associate-l` `associate-l/` `difference-of-squares`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out--`
1×	`distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

3.0ms	(- (* a a) (* b b))
12.0ms	(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))
18.0ms	(* (- (* a a) (* b b)) (+ a b))

series118.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- (* a a) (* b b))
42.0ms	(/ (* (- (* a a) (* b b)) (+ a b)) (- a b))
41.0ms	(* (- (* a a) (* b b)) (+ a b))

simplify106.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	453	763
1	2675	673
2	5003	661

prune272.0ms

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))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify90.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (13.0ms)

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

sample319.0ms

Algorithm

intervals

Results

107.0ms	8000×	pre	80	true
97.0ms	8000×	body	80	valid