Details

analyze694.0ms

Algorithm: search

sample23.0ms

Algorithm

intervals

Results

9.0ms	248×	body	80	valid
2.0ms	59×	body	80	invalid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify35.0ms

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

prune4.0ms

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	(+ (+ 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))

rewrite43.0ms

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:

6.0ms	(+ (+ y z) z)
8.0ms	(+ (+ (+ y z) z) y)
14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series34.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(+ (+ y z) z)
5.0ms	(+ (+ (+ y z) z) y)
11.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
15.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

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

prune95.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

7.0ms	(* (* 2 x) (+ y z))
7.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
9.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series34.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* (* 2 x) (+ y z))
11.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
15.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	340	387
1	1791	357
2	5002	357

prune71.0ms

Filtered

40 candidates to 58 candidates (-45.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

localize14.0ms

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

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:

31.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
13.0ms	(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)))

series315.0ms

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))))
67.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
67.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
65.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

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

prune247.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.5b	(cbrt (- (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
5.5b	(- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0)))
30.2b	(cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0))))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-cbrt-cube`
3×	`flip3--` `pow1/3` `flip--`
2×	`difference-of-squares`
1×	`sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 57

Calls

4 calls:

16.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
13.0ms	(cbrt (- (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
27.0ms	(- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0)))
27.0ms	(cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0))))

series363.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
69.0ms	(cbrt (- (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
73.0ms	(- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0)))
153.0ms	(cbrt (- (* (* x (+ (+ (+ (+ y z) z) y) t)) (* x (+ (+ (+ (+ y z) z) y) t))) (* (* y 5.0) (* y 5.0))))

simplify65.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	521	1410
1	1804	1294
2	5001	1288

prune201.0ms

Filtered

63 candidates to 69 candidates (-9.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	69	9	78

Merged error: 0.0b

Counts

78 → 9

regimes465.0ms

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	20	7
1	20	7

end0.0ms

analyze696.0ms

Algorithm: search

sample637.0ms

Algorithm

intervals

Results

291.0ms	7743×	body	80	valid
69.0ms	1850×	body	80	invalid
13.0ms	80×	body	1280	valid
12.0ms	92×	body	640	valid
6.0ms	61×	body	320	valid
2.0ms	24×	body	160	valid

Details

analyze694.0ms

sample23.0ms

simplify35.0ms

prune4.0ms

localize13.0ms

rewrite43.0ms

series34.0ms

simplify50.0ms

prune95.0ms

localize11.0ms

rewrite24.0ms

series34.0ms

simplify53.0ms

prune71.0ms

localize14.0ms

rewrite71.0ms

series315.0ms

simplify58.0ms

prune247.0ms

localize28.0ms

rewrite84.0ms

series363.0ms

simplify65.0ms

prune201.0ms

regimes465.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze696.0ms

sample637.0ms

Profiling