Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	336×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)

rewrite945.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

231.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
636.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
62.0ms	(+ (+ (+ y z) z) y)
13.0ms	(+ (+ y z) z)

series153.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
39.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
32.0ms	(+ (+ (+ y z) z) y)
24.0ms	(+ (+ y z) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune184.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ y (+ z z)) y) t))
0.0b	(+ (+ y (+ z z)) y)

rewrite934.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`distribute-lft-out`
14×	`add-log-exp`
7×	`add-sqr-sqrt` `associate-r` `sum-log`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-+l+` `flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

226.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
645.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
60.0ms	(+ (+ y (+ z z)) y)

series132.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
41.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
32.0ms	(+ (+ y (+ z z)) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	322	421
1	1439	385
2	5002	385

prune134.0ms

Filtered

65 candidates to 43 candidates (66.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
0.5b	(cbrt (+ (+ y z) z))
0.5b	(cbrt (+ (+ y z) z))
0.5b	(cbrt (+ (+ y z) z))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

73.0ms	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
9.0ms	(cbrt (+ (+ y z) z))
8.0ms	(cbrt (+ (+ y z) z))
8.0ms	(cbrt (+ (+ y z) z))

series643.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))
148.0ms	(cbrt (+ (+ y z) z))
144.0ms	(cbrt (+ (+ y z) z))
143.0ms	(cbrt (+ (+ y z) z))

simplify127.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	281	989
1	874	938
2	4112	827
3	5002	822

prune338.0ms

Filtered

117 candidates to 75 candidates (64.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ y (+ z z)) y)
0.1b	(sqrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
0.1b	(sqrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
0.2b	(* (sqrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`*-un-lft-identity`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt`
13×	`add-log-exp`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `sum-log` `add-cbrt-cube` `distribute-lft-out`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 104

Calls

4 calls:

58.0ms	(+ (+ y (+ z z)) y)
282.0ms	(sqrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
283.0ms	(sqrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
1.1s	(* (sqrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))

series1.0s

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (+ y (+ z z)) y)
464.0ms	(sqrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
460.0ms	(sqrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
61.0ms	(* (sqrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))

simplify58.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	393	1451
1	1706	1286
2	5003	1247

prune244.0ms

Filtered

116 candidates to 66 candidates (56.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes89.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample624.0ms

Algorithm

intervals

Results

320.0ms	10591×	body	80	valid
12.0ms	91×	body	1280	valid
11.0ms	101×	body	640	valid
10.0ms	60×	body	320	valid
2.0ms	34×	body	160	valid