Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	367×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	320	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.8s

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:

424.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
28.0ms	(+ (+ y z) z)
1.2s	(* x (+ (+ (+ (+ y z) z) y) t))
118.0ms	(+ (+ (+ y z) z) y)

series144.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
21.0ms	(+ (+ y z) z)
38.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
28.0ms	(+ (+ (+ y z) z) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5002	419

prune180.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0))
0.0b	(* (+ (* 2 (+ z y)) t) x)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

57.0ms	(+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0))
56.0ms	(* (+ (* 2 (+ z y)) t) x)

series78.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* 1 (* (+ (* 2 (+ z y)) t) x)) (* y 5.0))
33.0ms	(* (+ (* 2 (+ z y)) t) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	231	286
1	951	252
2	5001	248

prune95.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* 2 (+ z y)) t))
0.5b	(cbrt (+ (* 2 (+ z y)) t))
0.5b	(cbrt (+ (* 2 (+ z y)) t))
0.5b	(* (cbrt (+ (* 2 (+ z y)) t)) (cbrt (+ (* 2 (+ z y)) t)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

13.0ms	(cbrt (+ (* 2 (+ z y)) t))
12.0ms	(cbrt (+ (* 2 (+ z y)) t))
12.0ms	(cbrt (+ (* 2 (+ z y)) t))
107.0ms	(* (cbrt (+ (* 2 (+ z y)) t)) (cbrt (+ (* 2 (+ z y)) t)))

series976.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt (+ (* 2 (+ z y)) t))
232.0ms	(cbrt (+ (* 2 (+ z y)) t))
226.0ms	(cbrt (+ (* 2 (+ z y)) t))
285.0ms	(* (cbrt (+ (* 2 (+ z y)) t)) (cbrt (+ (* 2 (+ z y)) t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	269	1039
1	1064	974
2	5002	901

prune326.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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`
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 → 73

Calls

4 calls:

15.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series729.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt x) (cbrt x))
176.0ms	(cbrt x)
173.0ms	(cbrt x)
176.0ms	(cbrt x)

simplify87.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune241.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	6
1	25	6
2	25	6

end0.0ms

sample703.0ms

Algorithm

intervals

Results

315.0ms	10466×	body	80	valid
12.0ms	121×	body	640	valid
11.0ms	87×	body	1280	valid
5.0ms	59×	body	320	valid
2.0ms	35×	body	160	valid