Details

sample31.0ms

Algorithm

intervals

Results

12.0ms	347×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

simplify34.0ms

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

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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:

13.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
8.0ms	(+ (+ (+ y z) z) y)
5.0ms	(+ (+ y z) z)
13.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series37.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
5.0ms	(+ (+ (+ y z) z) y)
4.0ms	(+ (+ y z) z)
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (39.0ms)

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

prune90.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

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:

29.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
66.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
66.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
68.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	409	2070
1	1426	1949
2	5001	1842

prune241.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
14.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series255.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
63.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
62.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
65.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify102.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	233	1168
1	757	1100
2	4209	1024
3	5001	1024

prune273.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	63	7	70

Merged error: 0.0b

Counts

70 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.0b	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.2b	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-+l+` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

13.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
12.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
14.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
28.0ms	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
109.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
109.0ms	(sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
16.0ms	(* (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (sqrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

simplify62.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	342	1494
1	1459	1358
2	5001	1322

prune133.0ms

Filtered

69 candidates to 112 candidates (-62.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	113	6	119

Merged error: 0.0b

Counts

119 → 6

regimes336.0ms

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	19	7
1	19	7

end0.0ms

sample871.0ms

Algorithm

intervals

Results

384.0ms	10646×	body	80	valid
15.0ms	87×	body	1280	valid
15.0ms	91×	body	640	valid
5.0ms	50×	body	320	valid
2.0ms	25×	body	160	valid

Details

sample31.0ms

simplify34.0ms

prune3.0ms

localize13.0ms

rewrite42.0ms

series37.0ms

simplify46.0ms

prune90.0ms

localize17.0ms

rewrite68.0ms

series316.0ms

simplify54.0ms

prune241.0ms

localize19.0ms

rewrite52.0ms

series255.0ms

simplify102.0ms

prune273.0ms

localize12.0ms

rewrite71.0ms

series249.0ms

simplify62.0ms

prune133.0ms

regimes336.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample871.0ms

Profiling