Details

analyze699.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

sample50.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
9.0ms	169×	body	80	invalid
8.0ms	142×	body	80	nan

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5189	17

prune13.0ms

Filtered

1 candidates to 1 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: 0.2b

Counts

2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube`
14×	`add-exp-log`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`exp-prod` `associate-r`
6×	`times-frac` `associate-*l/`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`associate-l` `pow-prod-down`
3×	`associate-/r*`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--` `div-inv`
1×	`frac-2neg` `clear-num` `sqrt-prod` `rem-exp-log` `associate-/l*` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

2.0ms	(exp (/ (* t t) 2.0))
12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
4.0ms	(/ (* t t) 2.0)
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(exp (/ (* t t) 2.0))
56.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(/ (* t t) 2.0)
14.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4962	983
1	4962	983

prune180.0ms

Filtered

68 candidates to 89 candidates (-30.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	81	8	89
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Merged error: 0.0b

Counts

91 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (log (pow (exp t) (/ t 2.0))))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (log (pow (exp t) (/ t 2.0)))))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))
3.1b	(log (pow (exp t) (/ t 2.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `exp-sum`
11×	`pow1` `add-cbrt-cube`
10×	`add-exp-log`
9×	`unpow-prod-down`
6×	`associate-*l/`
4×	`exp-prod` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`rem-log-exp` `sqr-pow`
2×	`flip3--` `log-pow` `*-commutative` `flip--`
1×	`pow-to-exp` `pow-exp` `sqrt-prod` `rem-exp-log` `unswap-sqr`

Counts

4 → 85

Calls

4 calls:

6.0ms	(exp (log (pow (exp t) (/ t 2.0))))
14.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (log (pow (exp t) (/ t 2.0)))))
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))
3.0ms	(log (pow (exp t) (/ t 2.0)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(exp (log (pow (exp t) (/ t 2.0))))
48.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (log (pow (exp t) (/ t 2.0)))))
16.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))
14.0ms	(log (pow (exp t) (/ t 2.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4988	1187
1	4988	1187

prune198.0ms

Filtered

76 candidates to 97 candidates (-27.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.0b	(/ (* t t) 2.0)
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`add-exp-log`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
7×	`sqrt-prod`
5×	`associate-l`
4×	`add-log-exp`
3×	`flip3--` `times-frac` `associate-/r` `-commutative` `flip--`
2×	`cbrt-undiv` `div-exp` `unswap-sqr`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 91

Calls

4 calls:

14.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
4.0ms	(/ (* t t) 2.0)
9.0ms	(* (- (* x 0.5) y) (sqrt z))
10.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series78.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
3.0ms	(/ (* t t) 2.0)
11.0ms	(* (- (* x 0.5) y) (sqrt z))
16.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify40.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5012	1257

prune174.0ms

Filtered

71 candidates to 103 candidates (-45.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	101	2	103
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	104	7	111

Merged error: 0.0b

Counts

111 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt 2.0) (pow (exp (/ t 2.0)) t))
0.0b	(pow (exp (/ t 2.0)) t)
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt 2.0) (pow (exp (/ t 2.0)) t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
32×	`add-exp-log`
22×	`prod-exp`
20×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
14×	`pow-pow` `associate-r`
13×	`exp-prod`
12×	`pow1`
10×	`associate-l` `sqrt-prod` `cbrt-unprod`
9×	`times-frac`
8×	`unpow-prod-down` `unswap-sqr`
6×	`associate-*l/`
4×	`pow-to-exp` `pow-prod-down` `pow-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `*-commutative`
2×	`flip3--` `flip--`
1×	`div-inv`

Counts

4 → 111

Calls

4 calls:

9.0ms	(* (sqrt 2.0) (pow (exp (/ t 2.0)) t))
5.0ms	(pow (exp (/ t 2.0)) t)
7.0ms	(* (- (* x 0.5) y) (sqrt z))
12.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt 2.0) (pow (exp (/ t 2.0)) t)))

series73.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (sqrt 2.0) (pow (exp (/ t 2.0)) t))
4.0ms	(pow (exp (/ t 2.0)) t)
11.0ms	(* (- (* x 0.5) y) (sqrt z))
51.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt 2.0) (pow (exp (/ t 2.0)) t)))

simplify70.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4964	1516
1	4964	1516

prune191.0ms

Filtered

83 candidates to 123 candidates (-48.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	124	6	130

Merged error: 0.0b

Counts

130 → 6

regimes967.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	19
1	31	19

end0.0ms

sample1.5s

Algorithm

intervals

Results

451.0ms	8000×	body	80	valid
346.0ms	6253×	body	80	invalid
255.0ms	4510×	body	80	nan

Details

analyze699.0ms

sample50.0ms

simplify70.0ms

prune13.0ms

localize17.0ms

rewrite29.0ms

series78.0ms

simplify58.0ms

prune180.0ms

localize15.0ms

rewrite34.0ms

series83.0ms

simplify54.0ms

prune198.0ms

localize13.0ms

rewrite39.0ms

series78.0ms

simplify40.0ms

prune174.0ms

localize14.0ms

rewrite37.0ms

series73.0ms

simplify70.0ms

prune191.0ms

regimes967.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.5s

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