Details

sample40.0ms

Algorithm

intervals

Results

16.0ms	361×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	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

Filtered

1 candidates to 0 candidates (100.0%)

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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:

11.0ms	(+ (+ (+ y z) z) y)
13.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
5.0ms	(+ (+ y z) z)
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series197.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (+ (+ y z) z) y)
49.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
33.0ms	(+ (+ y z) z)
73.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (44.0ms)

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

prune349.0ms

Filtered

83 candidates to 58 candidates (30.1%)

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

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series868.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(* (cbrt x) (cbrt x))
212.0ms	(cbrt x)
205.0ms	(cbrt x)
210.0ms	(cbrt x)

simplify92.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune329.0ms

Filtered

85 candidates to 64 candidates (24.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

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:

10.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
10.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
9.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
28.0ms	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))

series1.4s

Counts

4 → 12

Calls

4 calls:

327.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
326.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
314.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
391.0ms	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	266	1710
1	1014	1631
2	5001	1338

prune692.0ms

Filtered

143 candidates to 78 candidates (45.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	143	6	149

Merged error: 0.0b

Counts

149 → 6

localize16.0ms

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)))

rewrite72.0ms

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))))
12.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.6s

Counts

4 → 12

Calls

4 calls:

495.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
366.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
378.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
376.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

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

prune452.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

regimes461.0ms

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	19	7
1	19	7

end0.0ms

sample853.0ms

Algorithm

intervals

Results

360.0ms	10672×	body	80	valid
19.0ms	91×	body	1280	valid
14.0ms	90×	body	640	valid
6.0ms	58×	body	320	valid
2.0ms	38×	body	160	valid

Details

sample40.0ms

simplify36.0ms

prune5.0ms

localize10.0ms

rewrite46.0ms

series197.0ms

simplify51.0ms

prune349.0ms

localize16.0ms

rewrite11.0ms

series868.0ms

simplify92.0ms

prune329.0ms

localize16.0ms

rewrite65.0ms

series1.4s

simplify47.0ms

prune692.0ms

localize16.0ms

rewrite72.0ms

series1.6s

simplify55.0ms

prune452.0ms

regimes461.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample853.0ms

Profiling