Details

sample87.0ms

Algorithm

intervals

Results

27.0ms	582×	body	80	valid
25.0ms	598×	body	80	nan

simplify81.0ms

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

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
43.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))
2.0ms	(sqrt (* z 2.0))

series341.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ (* t t) 2.0)
158.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
103.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))
53.0ms	(sqrt (* z 2.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	534	655
1	2042	555
2	5002	545

prune280.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

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))

rewrite124.0ms

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:

4.0ms	(/ (* t t) 2.0)
80.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
12.0ms	(* (- (* x 0.5) y) (sqrt z))
25.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series402.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* t t) 2.0)
189.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
60.0ms	(* (- (* x 0.5) y) (sqrt z))
128.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (56.0ms)

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

prune292.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite418.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-cbrt-cube`
30×	`add-exp-log`
27×	`associate-r`
22×	`sqrt-prod`
20×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
18×	`add-sqr-sqrt`
14×	`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 → 113

Calls

4 calls:

295.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
13.0ms	(* (- (* x 0.5) y) (sqrt z))
83.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
23.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

series534.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
58.0ms	(* (- (* x 0.5) y) (sqrt z))
132.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
156.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify80.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	562	1337
1	2676	1071
2	5002	1039

prune324.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
24.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
80.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
18.0ms	(* (sqrt z) (sqrt (sqrt 2.0)))

series404.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* t t) 2.0)
155.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
139.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
79.0ms	(* (sqrt z) (sqrt (sqrt 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	593	989
1	2698	834
2	5001	806

prune345.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes367.0ms

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

sample2.4s

Algorithm

intervals

Results

761.0ms	17855×	body	80	valid
751.0ms	17730×	body	80	nan