Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

311×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	3
1	26	3
2	56	3
3	137	3
4	229	3
5	289	3
6	379	3
7	582	3
8	878	3
9	1193	3
10	1234	3
11	1234	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (+ x y) (- 1.0 z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-r`
4×	`frac-times` `associate-l`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `flip3--` `flip3-+` `add-cbrt-cube` `flip--` `flip-+`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 33

Calls

1 calls:

8.0ms

(* (+ x y) (- 1.0 z))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (+ x y) (- 1.0 z))

simplify29.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	236	207
1	995	192
2	5001	190

prune49.0ms

Filtered

36 candidates to 25 candidates (69.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	2	37

Merged error: 0b

Counts

37 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- z) (+ x y))
0.0b	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
20×	`associate-r`
17×	`associate-l`
14×	`distribute-lft-out`
11×	`distribute-rgt-out`
10×	`add-sqr-sqrt` `associate-*r/`
8×	`add-cube-cbrt`
7×	`+-commutative`
6×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`
5×	`distribute-rgt-neg-in`
4×	`pow1` `add-exp-log` `associate-+l+` `associate-+r+` `frac-add` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-neg-out` `distribute-lft-neg-in` `*-commutative`
1×	`neg-mul-1` `unsub-neg` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `unswap-sqr`

Counts

2 → 76

Calls

2 calls:

9.0ms	(* (- z) (+ x y))
22.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(* (- z) (+ x y))
48.0ms	(+ (* 1.0 (+ x y)) (* (- z) (+ x y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	409	458
1	1940	396
2	5001	395

prune99.0ms

Filtered

82 candidates to 53 candidates (64.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	82	2	84

Merged error: 0b

Counts

84 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

1.7b	(* (+ x y) (- (* 1.0 1.0) (* z z)))
11.5b	(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

375×	`add-sqr-sqrt`
235×	`*-un-lft-identity`
198×	`associate-r`
172×	`times-frac`
150×	`difference-of-squares`
72×	`swap-sqr`
66×	`*-commutative` `unswap-sqr`
63×	`add-cube-cbrt`
50×	`distribute-lft-out`
48×	`associate-l`
43×	`associate-/l*`
30×	`distribute-lft-out--`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`flip3-+` `flip-+`
6×	`flip3--` `flip--`
4×	`pow1` `associate-r/` `associate-l/` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `div-inv`

Counts

2 → 304

Calls

2 calls:

26.0ms	(* (+ x y) (- (* 1.0 1.0) (* z z)))
39.0ms	(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

series156.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* (+ x y) (- (* 1.0 1.0) (* z z)))
90.0ms	(/ (* (+ x y) (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

simplify120.0ms

Algorithm

egg-herbie

Counts

310 → 310

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	869	2780
1	3892	2678
2	5002	2678

prune258.0ms

Filtered

310 candidates to 118 candidates (38.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	310	0	310
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	310	2	312

Merged error: 0b

Counts

312 → 2

regimes52.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	19	6
2	24	6
3	24	6

end0.0ms

sample412.0ms

Algorithm

intervals

Results

201.0ms	10113×	body	80	valid
0.0ms	1×	body	640	valid