Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	25	3
2	53	3
3	80	3
4	98	3
5	107	3
6	113	3
7	113	3

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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` `distribute-lft-in` `pow-plus` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 40

Calls

1 calls:

8.0ms

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

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	189	213
1	902	188
2	5001	170

prune39.0ms

Filtered

43 candidates to 19 candidates (55.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0b

Counts

44 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- a b) (- a b))
0.5b	(/ (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)))
0.5b	(* (- (* a a) (* b b)) (- (* a a) (* b b)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity`
24×	`flip3--` `flip--`
23×	`add-sqr-sqrt`
19×	`add-exp-log` `add-cbrt-cube`
17×	`pow1`
16×	`frac-times`
11×	`add-cube-cbrt` `swap-sqr`
9×	`associate-r` `associate-l`
8×	`associate-r/` `associate-l/` `associate-/r/` `associate-/l/` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod` `distribute-lft-out--`
4×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
3×	`add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

3 → 122

Calls

3 calls:

12.0ms	(* (- a b) (- a b))
16.0ms	(/ (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)))
9.0ms	(* (- (* a a) (* b b)) (- (* a a) (* b b)))

series22.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (- a b) (- a b))
9.0ms	(/ (* (- (* a a) (* b b)) (- (* a a) (* b b))) (* (- a b) (- a b)))
9.0ms	(* (- (* a a) (* b b)) (- (* a a) (* b b)))

simplify124.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (112.0ms)

Iter	Nodes	Cost
0	526	1265
1	3404	1005
2	5001	980

prune101.0ms

Filtered

131 candidates to 76 candidates (42.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Merged error: 0b

Counts

134 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (pow a 2) (* b (- b a)))
0.3b	(* (- a b) (+ (pow a 2) (* b (- b a))))
0.3b	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
0.4b	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 117

Calls

4 calls:

5.0ms	(+ (pow a 2) (* b (- b a)))
9.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
19.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
24.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (pow a 2) (* b (- b a)))
10.0ms	(* (- a b) (+ (pow a 2) (* b (- b a))))
16.0ms	(* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3)))
18.0ms	(/ (* (- (* a a) (* b b)) (+ (pow a 3) (pow b 3))) (* (- a b) (+ (pow a 2) (* b (- b a)))))

simplify43.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	794	1555
1	5001	1317

prune234.0ms

Filtered

129 candidates to 93 candidates (27.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	129	3	132

Merged error: 0b

Counts

132 → 3

regimes144.0ms

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	5	3
1	5	3

end0.0ms

sample496.0ms

Algorithm

intervals

Results

170.0ms	8000×	pre	80	true
125.0ms	8000×	body	80	valid

Details

sample18.0ms

simplify15.0ms

prune3.0ms

localize3.0ms

rewrite9.0ms

series4.0ms

simplify36.0ms

prune39.0ms

localize9.0ms

rewrite42.0ms

series22.0ms

simplify124.0ms

prune101.0ms

localize20.0ms

rewrite62.0ms

series49.0ms

simplify43.0ms

prune234.0ms

regimes144.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample496.0ms

Profiling