Details

sample308.0ms

Algorithm: halfpoints

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	121	7
4	206	7
5	410	7
6	1017	7
7	2074	7
8	5001	7

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 42.7b

Counts

2 → 1

localize38.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.5b	(- (exp x) (exp (- x)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`associate-l`
16×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`

Counts

2 → 52

Calls

2 calls:

10.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
5.0ms	(- (exp x) (exp (- x)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
37.0ms	(- (exp x) (exp (- x)))

simplify106.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	293	506
1	893	449
2	3855	448
3	5001	448

prune146.0ms

Filtered

58 candidates to 44 candidates (75.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	55	3	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	3	59

Merged error: 0.1b

Counts

59 → 3

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/60 (pow x 5)) (* 2 x))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))
0.1b	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
22×	`associate-r`
19×	`add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*`
13×	`add-cbrt-cube`
10×	`times-frac`
9×	`unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`pow1` `add-log-exp`
4×	`cube-prod` `cbrt-unprod` `sqr-pow`
3×	`*-commutative`
2×	`pow-to-exp` `pow-exp`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `flip3-+` `unpow3` `div-exp` `pow-prod-down` `associate-*l/` `sum-log` `flip-+` `div-inv`

Counts

4 → 99

Calls

4 calls:

4.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))
11.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

series307.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
50.0ms	(* 1/60 (pow x 5))
36.0ms	(* 1/3 (pow x 3))
91.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

simplify60.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	468	756
1	1975	665
2	5002	664

prune271.0ms

Filtered

111 candidates to 75 candidates (67.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	105	6	111
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	105	9	114

Merged error: 0.0b

Counts

114 → 9

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))

series396.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
94.0ms	(cbrt (sin y))
93.0ms	(cbrt (sin y))
96.0ms	(cbrt (sin y))

simplify93.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune274.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))
0.6b	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
0.6b	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
0.6b	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))

rewrite40.0ms

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:

16.0ms	(* (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))
10.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
6.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
6.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))

series661.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(* (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))) (cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))
161.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
160.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))
159.0ms	(cbrt (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))))

simplify58.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	393	2049
1	1441	1922
2	5002	1774

prune376.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	98	10	108

Merged error: 0.0b

Counts

108 → 10

regimes96.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample6.2s

Algorithm: halfpoints