Details

sample100.0ms

Algorithm

intervals

Results

33.0ms	753×	body	80	nan
26.0ms	629×	body	80	valid

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

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)))

rewrite26.0ms

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×	`associate-r`
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 → 68

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
2.0ms	(exp (/ (* t t) 2.0))
1.0ms	(sqrt (* z 2.0))
17.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (* t t) 2.0)
18.0ms	(exp (/ (* t t) 2.0))
50.0ms	(sqrt (* z 2.0))
101.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify42.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	406	397
1	1508	342
2	5001	336

prune269.0ms

Filtered

80 candidates to 63 candidates (78.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite37.0ms

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×	`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 → 86

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
2.0ms	(exp (/ (* t t) 2.0))
20.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
7.0ms	(* (sqrt z) (sqrt 2.0))

series230.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (* t t) 2.0)
18.0ms	(exp (/ (* t t) 2.0))
128.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
61.0ms	(* (sqrt z) (sqrt 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	422	524
1	1736	459
2	5002	452

prune307.0ms

Filtered

98 candidates to 67 candidates (68.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* 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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

2.0ms	(exp (/ (* t t) 2.0))
2.0ms	(exp (/ (* t t) 2.0))
20.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
7.0ms	(* (sqrt z) (sqrt 2.0))

series235.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(exp (/ (* t t) 2.0))
19.0ms	(exp (/ (* t t) 2.0))
130.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
67.0ms	(* (sqrt z) (sqrt 2.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	344	511
1	1298	455
2	5002	448

prune361.0ms

Filtered

92 candidates to 66 candidates (71.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
39×	`add-cube-cbrt` `*-un-lft-identity`
36×	`times-frac`
34×	`sqrt-prod`
15×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
12×	`associate-/r*`
9×	`associate-l`
7×	`associate-r`
6×	`pow-prod-down` `associate-/l*`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `associate-l/` `clear-num` `-commutative` `div-inv`
1×	`flip3--` `sqrt-unprod` `flip--`

Counts

4 → 128

Calls

4 calls:

20.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
3.0ms	(/ t (sqrt 2.0))
5.0ms	(/ t (sqrt 2.0))
7.0ms	(* (sqrt z) (sqrt 2.0))

series305.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
55.0ms	(/ t (sqrt 2.0))
52.0ms	(/ t (sqrt 2.0))
67.0ms	(* (sqrt z) (sqrt 2.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	372	801
1	1402	737
2	5001	710

prune527.0ms

Filtered

140 candidates to 88 candidates (62.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes792.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	19
1	27	19

end0.0ms

sample2.5s

Algorithm

intervals

Results

772.0ms	17971×	body	80	valid
771.0ms	17961×	body	80	nan