Details

sample121.0ms

Algorithm

intervals

Results

42.0ms	560×	body	80	valid
42.0ms	547×	body	80	nan

simplify92.0ms

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: 0.3b

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
41.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
3.0ms	(exp (/ (* t t) 2.0))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series345.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (* t t) 2.0)
186.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
21.0ms	(exp (/ (* t t) 2.0))
112.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	463	658
1	1807	565
2	5001	558

prune339.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

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

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
34.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
2.0ms	(pow E (/ (* t t) 2.0))
19.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series387.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (* t t) 2.0)
212.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow E (/ (* t t) 2.0)))
27.0ms	(pow E (/ (* t t) 2.0))
114.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify72.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	541	764
1	2282	676
2	5001	663

prune384.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
11.0ms	(* (sqrt (* z 2.0)) (pow E (/ (* t t) 2.0)))
2.0ms	(pow E (/ (* t t) 2.0))
35.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow E (/ (* t t) 2.0))))

series402.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (* t t) 2.0)
140.0ms	(* (sqrt (* z 2.0)) (pow E (/ (* t t) 2.0)))
26.0ms	(pow E (/ (* t t) 2.0))
208.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (pow E (/ (* t t) 2.0))))

simplify73.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	575	829
1	2361	729
2	5002	719

prune386.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow E (/ (* t t) 2.0))
0.0b	(* (sqrt 2.0) (pow E (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow E (/ (* t t) 2.0)))))
0.4b	(* (sqrt z) (* (sqrt 2.0) (pow E (/ (* t t) 2.0))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log`
28×	`prod-exp`
24×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
15×	`associate-l`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
10×	`cbrt-unprod`
9×	`associate-r` `sqrt-prod`
8×	`unpow-prod-down` `pow-exp`
7×	`pow-unpow`
6×	`unswap-sqr`
4×	`expm1-log1p-u` `pow-to-exp` `e-exp-1` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `sqr-pow`
3×	`times-frac` `*-commutative`
2×	`associate-*l/`
1×	`flip3--` `pow-pow` `flip--` `div-inv`

Counts

4 → 110

Calls

4 calls:

2.0ms	(pow E (/ (* t t) 2.0))
8.0ms	(* (sqrt 2.0) (pow E (/ (* t t) 2.0)))
41.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow E (/ (* t t) 2.0)))))
13.0ms	(* (sqrt z) (* (sqrt 2.0) (pow E (/ (* t t) 2.0))))

series498.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(pow E (/ (* t t) 2.0))
75.0ms	(* (sqrt 2.0) (pow E (/ (* t t) 2.0)))
241.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (pow E (/ (* t t) 2.0)))))
155.0ms	(* (sqrt z) (* (sqrt 2.0) (pow E (/ (* t t) 2.0))))

simplify78.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	523	1077
1	2276	953
2	5001	935

prune349.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes693.0ms

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	23	10
1	25	10
2	25	10

end0.0ms

sample3.6s

Algorithm

intervals

Results

1.4s	17914×	body	80	valid
1.3s	17639×	body	80	nan