Details

sample23.0ms

Algorithm

intervals

Results

10.0ms	333×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify36.0ms

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

prune3.0ms

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: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

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:

6.0ms	(+ (+ y z) z)
9.0ms	(+ (+ (+ y z) z) y)
14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series159.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (+ y z) z)
31.0ms	(+ (+ (+ y z) z) y)
40.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
61.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

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

prune187.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

8.0ms	(+ (+ (+ y z) z) y)
10.0ms	(* (+ (+ (+ y z) z) y) x)
4.0ms	(+ (* t x) (* y 5.0))
14.0ms	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (+ (+ y z) z) y)
34.0ms	(* (+ (+ (+ y z) z) y) x)
30.0ms	(+ (* t x) (* y 5.0))
54.0ms	(+ (* (+ (+ (+ y z) z) y) x) (+ (* t x) (* y 5.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	411	658
1	1952	612
2	5003	602

prune202.0ms

Filtered

80 candidates to 59 candidates (73.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	4	0	4
Picked	1	0	1
Done	0	1	1
Total	81	5	86

Merged error: 0.0b

Counts

86 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
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 → 117

Calls

4 calls:

24.0ms	(* (cbrt (+ (+ (+ y z) z) y)) (cbrt (+ (+ (+ y z) z) y)))
8.0ms	(cbrt (+ (+ (+ y z) z) y))
7.0ms	(cbrt (+ (+ (+ y z) z) y))
7.0ms	(cbrt (+ (+ (+ y z) z) y))

series927.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(* (cbrt (+ (+ (+ y z) z) y)) (cbrt (+ (+ (+ y z) z) y)))
223.0ms	(cbrt (+ (+ (+ y z) z) y))
225.0ms	(cbrt (+ (+ (+ y z) z) y))
219.0ms	(cbrt (+ (+ (+ y z) z) y))

simplify46.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	304	1356
1	1020	1291
2	5002	1100

prune353.0ms

Filtered

129 candidates to 78 candidates (60.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	129	5	134

Merged error: 0.0b

Counts

134 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* t x) (* y 5.0)))
0.5b	(cbrt (+ (* t x) (* y 5.0)))
0.5b	(cbrt (+ (* t x) (* y 5.0)))
0.5b	(* (cbrt (+ (* t x) (* y 5.0))) (cbrt (+ (* t x) (* y 5.0))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

3.0ms	(cbrt (+ (* t x) (* y 5.0)))
3.0ms	(cbrt (+ (* t x) (* y 5.0)))
3.0ms	(cbrt (+ (* t x) (* y 5.0)))
10.0ms	(* (cbrt (+ (* t x) (* y 5.0))) (cbrt (+ (* t x) (* y 5.0))))

series549.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt (+ (* t x) (* y 5.0)))
129.0ms	(cbrt (+ (* t x) (* y 5.0)))
133.0ms	(cbrt (+ (* t x) (* y 5.0)))
151.0ms	(* (cbrt (+ (* t x) (* y 5.0))) (cbrt (+ (* t x) (* y 5.0))))

simplify87.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	307	1051
1	980	984
2	3372	908
3	5001	899

prune319.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

regimes157.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample611.0ms

Algorithm

intervals

Results

325.0ms	10615×	body	80	valid
13.0ms	92×	body	1280	valid
11.0ms	94×	body	640	valid
5.0ms	55×	body	320	valid
2.0ms	43×	body	160	valid