Details

sample281.0ms

Algorithm: halfpoints

simplify62.0ms

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	437	7
6	1047	7
7	2007	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: 44.5b

Counts

2 → 1

localize35.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ (- (exp x) (exp (neg x))) 2.0) (sin y))
58.0b	(- (exp x) (exp (neg x)))

rewrite21.0ms

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:

14.0ms	(* (/ (- (exp x) (exp (neg x))) 2.0) (sin y))
5.0ms	(- (exp x) (exp (neg x)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(* (/ (- (exp x) (exp (neg x))) 2.0) (sin y))
35.0ms	(- (exp x) (exp (neg x)))

simplify106.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	293	506
1	893	447
2	3877	446
3	5001	446

prune151.0ms

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: 0.2b

Counts

59 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/60 (pow x 5)) (* 2 x))
0.0b	(* 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))

rewrite34.0ms

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))
15.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))

series307.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
51.0ms	(* 1/60 (pow x 5))
35.0ms	(* 1/3 (pow x 3))
90.0ms	(* (/ (+ (* 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	664
2	5002	663

prune316.0ms

Filtered

111 candidates to 75 candidates (67.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	102	9	111
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	102	12	114

Merged error: 0.0b

Counts

114 → 12

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))
0.1b	(* (/ (+ (log (exp (* 1/3 (pow x 3)))) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
20.6b	(log (exp (* 1/3 (pow x 3))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
25×	`associate-l`
22×	`add-cube-cbrt` `associate-r`
19×	`add-exp-log`
16×	`times-frac`
13×	`add-cbrt-cube`
10×	`pow1`
9×	`unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`log-pow` `distribute-lft-out`
5×	`add-log-exp`
4×	`cube-prod` `cbrt-unprod` `sqr-pow`
3×	`log-prod` `*-commutative`
2×	`pow-to-exp` `pow-exp`
1×	`cbrt-undiv` `cube-mult` `exp-prod` `exp-to-pow` `unpow3` `div-exp` `rem-log-exp` `pow-prod-down` `associate-*l/` `div-inv`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))
16.0ms	(* (/ (+ (log (exp (* 1/3 (pow x 3)))) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
2.0ms	(log (exp (* 1/3 (pow x 3))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* 1/60 (pow x 5))
40.0ms	(* 1/3 (pow x 3))
90.0ms	(* (/ (+ (log (exp (* 1/3 (pow x 3)))) (+ (* 1/60 (pow x 5)) (* 2 x))) 2.0) (sin y))
36.0ms	(log (exp (* 1/3 (pow x 3))))

simplify59.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	417	865
1	1702	743
2	5001	740

prune357.0ms

Filtered

120 candidates to 79 candidates (65.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	120	12	132

Merged error: 0.0b

Counts

132 → 12

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
0.3b	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
0.4b	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
1.0b	(/ 1 (sqrt 2.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
69×	`add-sqr-sqrt`
61×	`add-cube-cbrt` `*-un-lft-identity`
54×	`add-exp-log`
44×	`associate-l`
43×	`sqrt-prod`
34×	`add-cbrt-cube`
22×	`prod-exp`
14×	`div-exp`
13×	`pow1`
12×	`associate-/r*` `cbrt-unprod`
8×	`cbrt-undiv`
6×	`associate-/l*`
4×	`rec-exp` `1-exp` `associate-r` `pow-prod-down` `associate-*l/` `div-inv` `add-log-exp`
3×	`pow-flip` `unswap-sqr`
2×	`frac-2neg` `clear-num` `*-commutative` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `associate-*r/` `flip-+` `inv-pow`

Counts

4 → 182

Calls

4 calls:

14.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
18.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
12.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
4.0ms	(/ 1 (sqrt 2.0))

series509.0ms

Counts

4 → 10

Calls

4 calls:

161.0ms	(* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y))
222.0ms	(* (/ 1 (sqrt 2.0)) (* (/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0)) (sin y)))
126.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (sqrt 2.0))
0.0ms	(/ 1 (sqrt 2.0))

simplify96.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	684	2585
1	3667	2208
2	5002	2099

prune621.0ms

Filtered

192 candidates to 111 candidates (57.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	189	3	192
Fresh	6	3	9
Picked	0	1	1
Done	1	1	2
Total	196	8	204

Merged error: 0.0b

Counts

204 → 8

regimes82.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	10
1	24	10

end0.0ms

sample6.0s

Algorithm: halfpoints

Details

sample281.0ms

simplify62.0ms

prune6.0ms

localize35.0ms

rewrite21.0ms

series115.0ms

simplify106.0ms

prune151.0ms

localize24.0ms

rewrite34.0ms

series307.0ms

simplify60.0ms

prune316.0ms

localize37.0ms

rewrite34.0ms

series212.0ms

simplify59.0ms

prune357.0ms

localize32.0ms

rewrite56.0ms

series509.0ms

simplify96.0ms

prune621.0ms

regimes82.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.0s

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