Details

sample100.0ms

Algorithm

intervals

Results

33.0ms	575×	body	80	nan
31.0ms	573×	body	80	valid

simplify81.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	9
1	43	9
2	92	9
3	186	9
4	341	9
5	703	9
6	2167	9
7	5001	9

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: 0.2b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-cbrt-cube`
13×	`add-exp-log`
10×	`pow1` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`associate-*l/`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--`
1×	`frac-2neg` `clear-num` `sqrt-prod` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

4.0ms	(/ (* t t) 2.0)
14.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series282.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (* t t) 2.0)
156.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
103.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	432	581
1	1713	493
2	5002	486

prune215.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	68	9	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	10	78

Merged error: 0.0b

Counts

78 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-cbrt-cube`
13×	`add-exp-log`
10×	`pow1` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-r` `pow-prod-down`
3×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `associate-l/` `-commutative`
1×	`flip3--` `frac-2neg` `clear-num` `sqrt-prod` `flip--` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

5.0ms	(/ (* t t) 2.0)
9.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
13.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series291.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (* t t) 2.0)
97.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
156.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify54.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	472	627
1	1842	535
2	5001	523

prune200.0ms

Filtered

75 candidates to 56 candidates (74.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	75	10	85

Merged error: 0.0b

Counts

85 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite37.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 99

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
14.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
10.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series436.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
191.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
88.0ms	(* (- (* x 0.5) y) (sqrt z))
130.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	490	866
1	2265	736
2	5001	722

prune273.0ms

Filtered

111 candidates to 75 candidates (67.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	107	4	111
Fresh	5	3	8
Picked	0	1	1
Done	0	1	1
Total	112	9	121

Merged error: 0b

Counts

121 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
55×	`add-exp-log`
41×	`pow-prod-down` `prod-exp` `cbrt-unprod`
39×	`add-cbrt-cube`
20×	`associate-*l/`
19×	`associate-r`
15×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`cbrt-prod` `associate-l`
4×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 123

Calls

4 calls:

25.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
13.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
18.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series822.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
64.0ms	(* (- (* x 0.5) y) (sqrt z))
417.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
139.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify94.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	596	1958
1	2808	1442
2	5003	1319

prune310.0ms

Filtered

135 candidates to 75 candidates (55.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	135	9	144

Merged error: 0b

Counts

144 → 9

regimes584.0ms

Accuracy

0% (0.2b 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 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.0s	18165×	body	80	valid
1.0s	18166×	body	80	nan

Details

sample100.0ms

simplify81.0ms

prune3.0ms

localize12.0ms

rewrite28.0ms

series282.0ms

simplify52.0ms

prune215.0ms

localize12.0ms

rewrite27.0ms

series291.0ms

simplify54.0ms

prune200.0ms

localize13.0ms

rewrite37.0ms

series436.0ms

simplify65.0ms

prune273.0ms

localize19.0ms

rewrite69.0ms

series822.0ms

simplify94.0ms

prune310.0ms

regimes584.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.0s

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