Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	349×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	3×	body	160	valid

simplify38.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

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:

26.0ms	(+ (+ y z) z)
113.0ms	(+ (+ (+ y z) z) y)
1.1s	(* x (+ (+ (+ (+ y z) z) y) t))
422.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series166.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ y z) z)
36.0ms	(+ (+ (+ y z) z) y)
42.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
64.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

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

prune179.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite271.0ms

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:

27.0ms	(+ (+ y z) z)
8.0ms	(+ (* t x) (* y 5.0))
114.0ms	(+ (+ (+ y z) z) y)
120.0ms	(+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))

series158.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (+ y z) z)
36.0ms	(+ (* t x) (* y 5.0))
33.0ms	(+ (+ (+ y z) z) y)
65.0ms	(+ (* x (+ (+ (+ y z) z) y)) (+ (* t x) (* y 5.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	446	599
1	2138	559
2	5002	551

prune179.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0s

Algorithm

rewrite-expression-head

Rules

233×	`*-un-lft-identity`
150×	`distribute-lft-out`
93×	`cbrt-prod`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
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 → 131

Calls

4 calls:

2.2s	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
249.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
249.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
248.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

303.0ms	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
250.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
253.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
240.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

simplify45.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	266	1710
1	1006	1631
2	5001	1338

prune335.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* t x) (* y 5.0))) (cbrt (+ (* t x) (* y 5.0))))
0.6b	(cbrt (+ (* t x) (* y 5.0)))
0.6b	(cbrt (+ (* t x) (* y 5.0)))
0.6b	(cbrt (+ (* t x) (* y 5.0)))

rewrite59.0ms

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:

40.0ms	(* (cbrt (+ (* t x) (* y 5.0))) (cbrt (+ (* t x) (* y 5.0))))
4.0ms	(cbrt (+ (* t x) (* y 5.0)))
5.0ms	(cbrt (+ (* t x) (* y 5.0)))
5.0ms	(cbrt (+ (* t x) (* y 5.0)))

series588.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(* (cbrt (+ (* t x) (* y 5.0))) (cbrt (+ (* t x) (* y 5.0))))
135.0ms	(cbrt (+ (* t x) (* y 5.0)))
156.0ms	(cbrt (+ (* t x) (* y 5.0)))
133.0ms	(cbrt (+ (* t x) (* y 5.0)))

simplify84.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (75.0ms)

Iter	Nodes	Cost
0	307	1051
1	972	984
2	3365	908
3	5002	899

prune311.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b 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

sample706.0ms

Algorithm

intervals

Results

309.0ms	10552×	body	80	valid
14.0ms	85×	body	1280	valid
10.0ms	92×	body	640	valid
5.0ms	60×	body	320	valid
2.0ms	29×	body	160	valid