Details

sample110.0ms

Algorithm

intervals

Results

36.0ms	600×	body	80	nan
35.0ms	629×	body	80	valid

simplify92.0ms

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: 0.3b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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:

14.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
5.0ms	(/ (* t t) 2.0)
9.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series326.0ms

Counts

3 → 9

Calls

3 calls:

177.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
34.0ms	(/ (* t t) 2.0)
115.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (53.0ms)

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

prune241.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	71	6	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	71	7	78

Merged error: 0.0b

Counts

78 → 7

localize14.0ms

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)
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite42.0ms

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:

15.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
5.0ms	(/ (* t t) 2.0)
8.0ms	(* (- (* 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:

216.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
26.0ms	(/ (* t t) 2.0)
69.0ms	(* (- (* x 0.5) y) (sqrt z))
160.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (71.0ms)

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

prune328.0ms

Filtered

111 candidates to 75 candidates (67.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	109	9	118

Merged error: 0b

Counts

118 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.2b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
0.4b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
24×	`associate-r`
22×	`sqrt-prod`
20×	`pow1`
19×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
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 → 108

Calls

4 calls:

5.0ms	(/ (* t t) 2.0)
8.0ms	(* (- (* x 0.5) y) (sqrt z))
12.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
16.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* t t) 2.0)
60.0ms	(* (- (* x 0.5) y) (sqrt z))
173.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
148.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))

simplify79.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	518	922
1	2347	773
2	5003	753

prune357.0ms

Filtered

120 candidates to 79 candidates (65.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	3	3	6
Picked	0	1	1
Done	0	2	2
Total	121	8	129

Merged error: 0b

Counts

129 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* x 0.5) y) (sqrt z))
0.3b	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
0.3b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
0.3b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

49×	`sqrt-prod`
39×	`associate-r`
34×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`add-sqr-sqrt`
20×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
18×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 125

Calls

4 calls:

8.0ms	(* (- (* x 0.5) y) (sqrt z))
31.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
13.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
19.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))

series1.1s

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (- (* x 0.5) y) (sqrt z))
149.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
187.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))
751.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))

simplify119.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (98.0ms)

Iter	Nodes	Cost
0	587	1584
1	2991	1276
2	5003	1191

prune395.0ms

Filtered

137 candidates to 82 candidates (59.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	3	1	4
Picked	0	1	1
Done	0	3	3
Total	139	6	145

Merged error: 0b

Counts

145 → 6

regimes480.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.0s	18084×	body	80	valid
1.0s	17810×	body	80	nan