Details

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.658691%

Guaranteed chance to sample good point: 66.879804%

Results

11.0ms	246×	body	80	valid
3.0ms	79×	body	80	invalid
1.0ms	6×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid

simplify38.0ms

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

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))

rewrite49.0ms

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)
18.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
15.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series35.0ms

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))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (43.0ms)

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

prune121.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	76	7	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	7	84

Merged error: 0.0b

Counts

84 → 7

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:

8.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
8.0ms	(* (* 2 x) (+ y z))
10.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series34.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	340	386
1	1791	356
2	5002	356

prune89.0ms

Filtered

39 candidates to 58 candidates (-48.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	58	7	65

Merged error: 0.0b

Counts

65 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
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 → 105

Calls

4 calls:

5.0ms	(cbrt (+ (+ y z) z))
5.0ms	(cbrt (+ (+ y z) z))
5.0ms	(cbrt (+ (+ y z) z))
16.0ms	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt (+ (+ y z) z))
31.0ms	(cbrt (+ (+ y z) z))
31.0ms	(cbrt (+ (+ y z) z))
43.0ms	(* (cbrt (+ (+ y z) z)) (cbrt (+ (+ y z) z)))

simplify144.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	300	1023
1	926	972
2	4491	849
3	5001	823

prune142.0ms

Filtered

75 candidates to 117 candidates (-56.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	117	7	124

Merged error: 0.0b

Counts

124 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
1.4b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.4b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
1.4b	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

9.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
12.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (cbrt (* x (+ (+ (+ (+ y z) z) y) t))) (cbrt (* x (+ (+ (+ (+ y z) z) y) t))))
36.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
36.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))
40.0ms	(cbrt (* x (+ (+ (+ (+ y z) z) y) t)))

simplify41.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	278	1044
1	1030	951
2	5002	885

prune104.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

regimes455.0ms

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

sample2.6s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.658691%

Guaranteed chance to sample good point: 66.879804%

Results

349.0ms	7702×	body	80	valid
107.0ms	2376×	body	80	invalid
19.0ms	117×	body	640	valid
18.0ms	88×	body	1280	valid
12.0ms	68×	body	320	valid
2.0ms	25×	body	160	valid

Details

sample1.7s

simplify38.0ms

prune4.0ms

localize11.0ms

rewrite49.0ms

series35.0ms

simplify49.0ms

prune121.0ms

localize12.0ms

rewrite27.0ms

series34.0ms

simplify57.0ms

prune89.0ms

localize15.0ms

rewrite36.0ms

series137.0ms

simplify144.0ms

prune142.0ms

localize18.0ms

rewrite48.0ms

series164.0ms

simplify41.0ms

prune104.0ms

regimes455.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.6s

Profiling