Details

sample102.0ms

Algorithm

intervals

Results

35.0ms	584×	body	80	valid
30.0ms	566×	body	80	nan

simplify89.0ms

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: 0.6b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* t t) 2.0))
0.2b	(sqrt (* z 2.0))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
3.0ms	(exp (/ (* t t) 2.0))
2.0ms	(sqrt (* z 2.0))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series233.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ (* t t) 2.0)
21.0ms	(exp (/ (* t t) 2.0))
51.0ms	(sqrt (* z 2.0))
111.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify59.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	428	427
1	1518	371
2	5001	364

prune293.0ms

Filtered

88 candidates to 71 candidates (80.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	78	10	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	10	89

Merged error: 0.0b

Counts

89 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
3.0ms	(exp (/ (* t t) 2.0))
10.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
6.0ms	(* (sqrt z) (sqrt 2.0))

series484.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* t t) 2.0)
19.0ms	(exp (/ (* t t) 2.0))
370.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
68.0ms	(* (sqrt z) (sqrt 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	440	558
1	1786	492
2	5001	483

prune320.0ms

Filtered

106 candidates to 75 candidates (70.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	106	10	116

Merged error: 0.0b

Counts

116 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
28×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
14×	`pow1` `associate-r`
13×	`pow-unpow`
10×	`associate-l` `sqrt-prod` `cbrt-unprod`
9×	`times-frac`
6×	`unpow-prod-down` `pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `pow-to-exp` `pow-pow` `pow-exp` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`exp-prod` `*-commutative`
2×	`flip3--` `sqrt-pow1` `pow1/2` `flip--` `sqr-pow`
1×	`sqrt-unprod` `div-inv`

Counts

4 → 118

Calls

4 calls:

5.0ms	(pow (exp t) (/ t 2.0))
16.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
9.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
6.0ms	(* (sqrt z) (sqrt 2.0))

series466.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(pow (exp t) (/ t 2.0))
218.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
134.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
64.0ms	(* (sqrt z) (sqrt 2.0))

simplify83.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	615	993
1	2662	874
2	5001	867

prune385.0ms

Filtered

130 candidates to 87 candidates (66.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	131	9	140

Merged error: 0.0b

Counts

140 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
24×	`add-sqr-sqrt`
22×	`prod-exp`
20×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
19×	`associate-r`
13×	`pow-unpow`
12×	`pow1` `associate-*l/`
10×	`cbrt-unprod`
9×	`times-frac`
7×	`sqrt-prod`
6×	`unpow-prod-down`
5×	`associate-l`
4×	`expm1-log1p-u` `pow-to-exp` `pow-pow` `pow-prod-down` `pow-exp` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr` `sqr-pow`
1×	`div-inv`

Counts

4 → 115

Calls

4 calls:

13.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
4.0ms	(pow (exp t) (/ t 2.0))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
11.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series472.0ms

Counts

4 → 12

Calls

4 calls:

227.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
52.0ms	(pow (exp t) (/ t 2.0))
58.0ms	(* (- (* x 0.5) y) (sqrt z))
135.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	577	1000
1	2614	873
2	5002	867

prune352.0ms

Filtered

127 candidates to 86 candidates (67.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	127	9	136

Merged error: 0b

Counts

136 → 9

regimes731.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.0s	17845×	body	80	valid
992.0ms	17922×	body	80	nan

Details

sample102.0ms

simplify89.0ms

prune3.0ms

localize13.0ms

rewrite20.0ms

series233.0ms

simplify59.0ms

prune293.0ms

localize14.0ms

rewrite27.0ms

series484.0ms

simplify60.0ms

prune320.0ms

localize15.0ms

rewrite39.0ms

series466.0ms

simplify83.0ms

prune385.0ms

localize15.0ms

rewrite39.0ms

series472.0ms

simplify87.0ms

prune352.0ms

regimes731.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.0s

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