Details

sample84.0ms

Algorithm

intervals

Results

26.0ms	558×	body	80	valid
23.0ms	568×	body	80	nan

simplify89.0ms

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: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
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)))

rewrite31.0ms

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:

2.0ms	(exp (/ (* t t) 2.0))
5.0ms	(/ (* t t) 2.0)
13.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(exp (/ (* t t) 2.0))
25.0ms	(/ (* t t) 2.0)
168.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
104.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (49.0ms)

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

prune318.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 83

Calls

3 calls:

4.0ms	(pow (exp t) (/ t 2.0))
12.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series349.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(pow (exp t) (/ t 2.0))
194.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
104.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	513	701
1	2030	621
2	5001	617

prune318.0ms

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

4.0ms	(pow (exp t) (/ t 2.0))
13.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
7.0ms	(* (- (* x 0.5) y) (sqrt z))
10.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series477.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(pow (exp t) (/ t 2.0))
236.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (pow (exp t) (/ t 2.0)))
58.0ms	(* (- (* x 0.5) y) (sqrt z))
137.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	577	1000
1	2614	873
2	5002	867

prune399.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

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))) (pow (exp t) (/ t 2.0)))
0.3b	(* (- (* 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)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

99×	`add-exp-log`
79×	`prod-exp`
41×	`cbrt-unprod`
39×	`add-cbrt-cube`
36×	`pow1`
23×	`associate-r`
22×	`pow-prod-down`
20×	`associate-*l/`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
7×	`sqrt-prod`
6×	`cbrt-prod` `pow-to-exp` `associate-l` `pow-exp`
4×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down`
2×	`unswap-sqr`
1×	`sqr-pow`

Counts

4 → 133

Calls

4 calls:

25.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
8.0ms	(* (- (* x 0.5) y) (sqrt z))
18.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
19.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

series891.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (pow (exp t) (/ t 2.0)))
59.0ms	(* (- (* x 0.5) y) (sqrt z))
445.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
146.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))

simplify103.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	674	2118
1	3113	1573
2	5001	1465

prune394.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes328.0ms

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

sample2.5s

Algorithm

intervals

Results

782.0ms	18276×	body	80	valid
750.0ms	18440×	body	80	nan