Details

sample34.0ms

Algorithm

intervals

Results

19.0ms	326×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify36.0ms

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: 0.1b

localize10.0ms

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)
0.0b	(+ (+ (+ y z) z) y)

rewrite930.0ms

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:

228.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
626.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
15.0ms	(+ (+ y z) z)
59.0ms	(+ (+ (+ y z) z) y)

series150.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
40.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
23.0ms	(+ (+ y z) z)
31.0ms	(+ (+ (+ y z) z) y)

simplify53.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (44.0ms)

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

prune178.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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:

9.0ms	(+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0))
27.0ms	(* (+ (* 2 (+ z y)) t) x)

series83.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0))
32.0ms	(* (+ (* 2 (+ z y)) t) x)

simplify36.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	216	270
1	908	240
2	5001	233

prune91.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

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:

51.0ms	(* (cbrt (+ (* 2 (+ z y)) t)) (cbrt (+ (* 2 (+ z y)) t)))
6.0ms	(cbrt (+ (* 2 (+ z y)) t))
6.0ms	(cbrt (+ (* 2 (+ z y)) t))
6.0ms	(cbrt (+ (* 2 (+ z y)) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt (+ (* 2 (+ z y)) t)) (cbrt (+ (* 2 (+ z y)) t)))
244.0ms	(cbrt (+ (* 2 (+ z y)) t))
242.0ms	(cbrt (+ (* 2 (+ z y)) t))
239.0ms	(cbrt (+ (* 2 (+ z y)) t))

simplify45.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	269	1039
1	1056	974
2	5001	901

prune311.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0))) (cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0))))
0.5b	(cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0)))
0.5b	(cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0)))
0.5b	(cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0)))

rewrite99.0ms

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:

70.0ms	(* (cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0))) (cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0))))
9.0ms	(cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0)))
9.0ms	(cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0)))
9.0ms	(cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0)))

series949.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0))) (cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0))))
218.0ms	(cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0)))
221.0ms	(cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0)))
214.0ms	(cbrt (+ (* (+ (* 2 (+ z y)) t) x) (* y 5.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	357	1679
1	1233	1571
2	5001	1465

prune309.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes115.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	18	6
1	18	6

end0.0ms

sample983.0ms

Algorithm

intervals

Results

647.0ms	10664×	body	80	valid
27.0ms	95×	body	1280	valid
26.0ms	120×	body	640	valid
9.0ms	53×	body	320	valid
4.0ms	31×	body	160	valid