Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	351×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)

rewrite1.7s

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

430.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
1.2s	(* x (+ (+ (+ (+ y z) z) y) t))
116.0ms	(+ (+ (+ y z) z) y)
26.0ms	(+ (+ y z) z)

series148.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
41.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
29.0ms	(+ (+ (+ y z) z) y)
24.0ms	(+ (+ y z) z)

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune198.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* t x) (* y 5.0))
0.0b	(+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)

rewrite489.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-log-exp`
18×	`*-un-lft-identity`
13×	`sum-log`
9×	`distribute-lft-out`
8×	`flip3-+` `flip-+`
4×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `associate-*r/` `frac-add` `add-cbrt-cube`
1×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in`

Counts

4 → 62

Calls

4 calls:

8.0ms	(+ (* t x) (* y 5.0))
123.0ms	(+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))
118.0ms	(+ (+ (+ y z) z) y)
237.0ms	(+ (+ y z) z)

series146.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* t x) (* y 5.0))
61.0ms	(+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))
31.0ms	(+ (+ (+ y z) z) y)
24.0ms	(+ (+ y z) z)

simplify74.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	446	599
1	2138	559
2	5001	551

prune204.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y 5.0) (* x (+ y t)))
0.0b	(* x (+ y t))
0.0b	(+ (* (+ (+ y z) z) x) (+ (* y 5.0) (* x (+ y t))))
0.0b	(+ (+ y z) z)

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-log-exp`
13×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `flip3-+` `flip-+`
7×	`sum-log`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-r` `associate-*l/` `frac-add` `distribute-lft-out`
3×	`+-commutative` `associate-+r+` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

9.0ms	(+ (* y 5.0) (* x (+ y t)))
20.0ms	(* x (+ y t))
44.0ms	(+ (* (+ (+ y z) z) x) (+ (* y 5.0) (* x (+ y t))))
30.0ms	(+ (+ y z) z)

series137.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* y 5.0) (* x (+ y t)))
26.0ms	(* x (+ y t))
55.0ms	(+ (* (+ (+ y z) z) x) (+ (* y 5.0) (* x (+ y t))))
24.0ms	(+ (+ y z) z)

simplify80.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	463	594
1	2316	561
2	5002	555

prune214.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))) (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))))
0.5b	(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
0.5b	(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
0.5b	(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))

rewrite895.0ms

Algorithm

rewrite-expression-head

Rules

102×	`cbrt-div`
85×	`flip3-+` `flip-+`
74×	`associate-*r/`
68×	`frac-add`
36×	`frac-times`
25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l` `associate-*l/`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 139

Calls

4 calls:

638.0ms	(* (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))) (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))))
81.0ms	(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
81.0ms	(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
85.0ms	(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))

series1.3s

Counts

4 → 12

Calls

4 calls:

421.0ms	(* (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))) (cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))))
301.0ms	(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
297.0ms	(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))
293.0ms	(cbrt (+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0))))

simplify122.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	671	5993
1	2644	5858
2	5001	5741

prune705.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes143.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	8
1	21	8

end0.0ms

sample720.0ms

Algorithm

intervals

Results

316.0ms	10651×	body	80	valid
11.0ms	103×	body	640	valid
10.0ms	78×	body	1280	valid
5.0ms	66×	body	320	valid
2.0ms	30×	body	160	valid