Details

sample121.0ms

Algorithm

intervals

Results

30.0ms	566×	body	80	valid
28.0ms	522×	body	80	nan

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	9
1	41	9
2	88	9
3	165	9
4	287	9
5	625	9
6	2014	9
7	5002	9

prune5.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
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)))

rewrite30.0ms

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))
4.0ms	(/ (* t t) 2.0)
12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
10.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(exp (/ (* t t) 2.0))
29.0ms	(/ (* t t) 2.0)
193.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
130.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	413	610
1	1743	532
2	5002	532

prune399.0ms

Filtered

89 candidates to 67 candidates (24.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	80	9	89
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	80	10	90

Merged error: 0.0b

Counts

90 → 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)))
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* 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×	`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:

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))
9.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series507.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (* t t) 2.0)
227.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
79.0ms	(* (- (* x 0.5) y) (sqrt z))
168.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	479	808
1	2307	701
2	5001	697

prune442.0ms

Filtered

103 candidates to 70 candidates (32.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	6	2	8
Picked	1	0	1
Done	0	1	1
Total	105	8	113

Merged error: 0b

Counts

113 → 8

localize17.0ms

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)))
0.2b	(* (- (* 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×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 115

Calls

4 calls:

26.0ms	(* (* (* (* (- (* 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))
14.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
17.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series1.0s

Counts

4 → 12

Calls

4 calls:

252.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
80.0ms	(* (- (* x 0.5) y) (sqrt z))
518.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
182.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify90.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	577	1851
1	2801	1371
2	5002	1280

prune540.0ms

Filtered

127 candidates to 72 candidates (43.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	127	8	135

Merged error: 0b

Counts

135 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
8.0ms	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
14.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

series429.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* t t) 2.0)
74.0ms	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
81.0ms	(* (- (* x 0.5) y) (sqrt z))
243.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

simplify67.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	459	805
1	2181	689
2	5002	682

prune390.0ms

Filtered

103 candidates to 68 candidates (34.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	4	5
Picked	0	1	1
Done	1	1	2
Total	104	7	111

Merged error: 0b

Counts

111 → 7

regimes1.2s

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 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample3.7s

Algorithm

intervals

Results

994.0ms	18316×	body	80	nan
991.0ms	18122×	body	80	valid

Details

sample121.0ms

simplify75.0ms

prune5.0ms

localize12.0ms

rewrite30.0ms

series377.0ms

simplify47.0ms

prune399.0ms

localize13.0ms

rewrite37.0ms

series507.0ms

simplify62.0ms

prune442.0ms

localize17.0ms

rewrite69.0ms

series1.0s

simplify90.0ms

prune540.0ms

localize14.0ms

rewrite35.0ms

series429.0ms

simplify67.0ms

prune390.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.7s

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