Details

sample94.0ms

Algorithm

intervals

Results

24.0ms	587×	body	80	nan
24.0ms	620×	body	80	valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

4.0ms	(exp (/ (* t t) 2.0))
92.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
4.0ms	(sqrt (* z 2.0))
38.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(exp (/ (* t t) 2.0))
140.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
41.0ms	(sqrt (* z 2.0))
89.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	485	641
1	1739	551
2	5001	541

prune283.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* 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) (sqrt 2.0)))
0.5b	(* (sqrt z) (sqrt 2.0))

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

6.0ms	(exp (/ (* t t) 2.0))
128.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
49.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
12.0ms	(* (sqrt z) (sqrt 2.0))

series352.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(exp (/ (* t t) 2.0))
163.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
115.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
55.0ms	(* (sqrt z) (sqrt 2.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	477	845
1	2003	731
2	5002	718

prune282.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* 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))
0.6b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube`
17×	`add-exp-log`
16×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`exp-prod` `sqrt-prod`
5×	`associate-l` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `times-frac` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`div-inv` `rem-exp-log`

Counts

4 → 93

Calls

4 calls:

5.0ms	(exp (/ (* t t) 2.0))
170.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
30.0ms	(* (- (* x 0.5) y) (sqrt z))
53.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series363.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(exp (/ (* t t) 2.0))
176.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
55.0ms	(* (- (* x 0.5) y) (sqrt z))
115.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	441	852
1	1914	732
2	5001	718

prune271.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite1.1s

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:

758.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
29.0ms	(* (- (* x 0.5) y) (sqrt z))
69.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
225.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series709.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
52.0ms	(* (- (* x 0.5) y) (sqrt z))
363.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
122.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify85.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (71.0ms)

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

prune318.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes550.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	17
1	24	17

end0.0ms

sample2.7s

Algorithm

intervals

Results

727.0ms	17875×	body	80	valid
720.0ms	17917×	body	80	nan