Details

sample84.0ms

Algorithm

intervals

Results

26.0ms	582×	body	80	valid
24.0ms	598×	body	80	nan

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	(* (* (- (* 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))

rewrite63.0ms

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×	`associate-l` `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 → 73

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
41.0ms	(* (* (- (* 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))

series340.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* t t) 2.0)
161.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
103.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))
52.0ms	(sqrt (* z 2.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	510	611
1	2044	513
2	5002	513

prune260.0ms

Filtered

85 candidates to 65 candidates (76.5%)

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))

rewrite120.0ms

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×	`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 → 91

Calls

4 calls:

3.0ms	(/ (* 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))
21.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series427.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ (* t t) 2.0)
201.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
59.0ms	(* (- (* x 0.5) y) (sqrt z))
137.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	474	814
1	2310	687
2	5001	683

prune275.0ms

Filtered

103 candidates to 67 candidates (65.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

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)))

rewrite460.0ms

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×	`flip3--` `*-commutative` `flip--` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 105

Calls

4 calls:

340.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (exp (/ (* t t) 2.0)))
12.0ms	(* (- (* x 0.5) y) (sqrt z))
80.0ms	(* (* (* (- (* 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)))

series570.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (* (* (* (- (* 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))
145.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
162.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt (sqrt 2.0)))

simplify89.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	543	1259
1	2725	997
2	5002	985

prune315.0ms

Filtered

117 candidates to 69 candidates (59.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize16.0ms

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)))

rewrite115.0ms

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×	`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 → 105

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
24.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
74.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
9.0ms	(* (sqrt z) (sqrt (sqrt 2.0)))

series428.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ (* t t) 2.0)
165.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0))))
147.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0)))
84.0ms	(* (sqrt z) (sqrt (sqrt 2.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	572	935
1	2635	782
2	5002	764

prune336.0ms

Filtered

117 candidates to 74 candidates (63.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes390.0ms

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

752.0ms	17855×	body	80	valid
735.0ms	17730×	body	80	nan