Details

sample96.0ms

Algorithm

intervals

Results

27.0ms	618×	body	80	nan
27.0ms	603×	body	80	valid

simplify103.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

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	(sqrt (* z 2.0))
0.3b	(* (- (* x 0.5) y) (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×	`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)
40.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms	(sqrt (* z 2.0))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* t t) 2.0)
182.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
52.0ms	(sqrt (* z 2.0))
118.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (67.0ms)

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

prune347.0ms

Filtered

93 candidates to 73 candidates (78.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`pow1` `add-exp-log`
20×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
11×	`prod-exp` `cbrt-unprod`
10×	`associate-r` `associate-l` `sqrt-prod`
6×	`associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
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 → 102

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
64.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
20.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
7.0ms	(* (sqrt z) (sqrt 2.0))

series466.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (* t t) 2.0)
221.0ms	(* (* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0))) (exp (/ (* t t) 2.0)))
140.0ms	(* (- (* x 0.5) y) (* (sqrt z) (sqrt 2.0)))
72.0ms	(* (sqrt z) (sqrt 2.0))

simplify88.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	526	859
1	2354	735
2	5003	722

prune374.0ms

Filtered

114 candidates to 75 candidates (65.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite126.0ms

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)
84.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
13.0ms	(* (- (* x 0.5) y) (sqrt z))
23.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series453.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
219.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
71.0ms	(* (- (* x 0.5) y) (sqrt z))
136.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify86.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (72.0ms)

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

prune352.0ms

Filtered

111 candidates to 74 candidates (66.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

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

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
36×	`pow1`
28×	`add-cbrt-cube`
23×	`prod-exp` `cbrt-unprod`
22×	`pow-prod-down`
16×	`add-sqr-sqrt` `associate-r`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-l/`
7×	`sqrt-prod`
6×	`cbrt-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 → 112

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
13.0ms	(* (- (* x 0.5) y) (sqrt z))
119.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
32.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

series742.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (* t t) 2.0)
62.0ms	(* (- (* x 0.5) y) (sqrt z))
162.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
484.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))

simplify93.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	535	1255
1	2509	969
2	5001	894

prune402.0ms

Filtered

124 candidates to 77 candidates (62.1%)

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes865.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms

sample2.7s

Algorithm

intervals

Results

833.0ms	18220×	body	80	valid
818.0ms	17999×	body	80	nan