Details

analyze633.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

sample24.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	64×	body	80	invalid

simplify138.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	1551	9
1	1551	9

prune12.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
5.8b	(* (/ x y) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`distribute-rgt-in` `frac-times` `associate-+l+` `flip3--` `distribute-lft-in` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 53

Calls

2 calls:

12.0ms	(+ (* (/ x y) (- z t)) t)
9.0ms	(* (/ x y) (- z t))

series22.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* (/ x y) (- z t)) t)
12.0ms	(* (/ x y) (- z t))

simplify48.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4966	583
1	4966	583

prune94.0ms

Filtered

45 candidates to 59 candidates (-31.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	56	5	61

Merged error: 0.0b

Counts

61 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (- z t) (cbrt (/ x y))))
9.9b	(cbrt (/ x y))
9.9b	(cbrt (/ x y))
9.9b	(cbrt (/ x y))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod` `cbrt-div`
29×	`frac-times`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`associate-*l/`
16×	`pow1` `add-exp-log`
15×	`associate-*r/`
10×	`add-cbrt-cube`
8×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 111

Calls

4 calls:

16.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (- z t) (cbrt (/ x y))))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series51.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (- z t) (cbrt (/ x y))))
14.0ms	(cbrt (/ x y))
12.0ms	(cbrt (/ x y))
12.0ms	(cbrt (/ x y))

simplify57.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4985	1328
1	4985	1328

prune145.0ms

Filtered

87 candidates to 123 candidates (-41.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	121	7	128

Merged error: 0.0b

Counts

128 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (* (cbrt (/ x y)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (/ (cbrt x) y)))) (* (- z t) (cbrt (/ x y))))
3.2b	(cbrt (/ (cbrt x) y))
9.9b	(cbrt (/ x y))
9.9b	(cbrt (/ x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
39×	`cbrt-div`
36×	`times-frac`
31×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
29×	`frac-times`
27×	`associate-*r/`
25×	`pow1` `add-exp-log`
17×	`associate-*l/`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`add-cbrt-cube`
8×	`flip3--` `flip--`
4×	`add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 126

Calls

4 calls:

19.0ms	(* (* (cbrt (/ x y)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (/ (cbrt x) y)))) (* (- z t) (cbrt (/ x y))))
3.0ms	(cbrt (/ (cbrt x) y))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series81.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (* (cbrt (/ x y)) (* (cbrt (* (cbrt x) (cbrt x))) (cbrt (/ (cbrt x) y)))) (* (- z t) (cbrt (/ x y))))
30.0ms	(cbrt (/ (cbrt x) y))
14.0ms	(cbrt (/ x y))
12.0ms	(cbrt (/ x y))

simplify39.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5175	2294

prune178.0ms

Filtered

106 candidates to 138 candidates (-30.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	137	8	145

Merged error: 0b

Counts

145 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (- z t) (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y))))))
3.2b	(cbrt (/ x (cbrt y)))
9.9b	(cbrt (/ x y))
9.9b	(cbrt (/ x y))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

99×	`cbrt-div`
81×	`frac-times`
57×	`cbrt-prod`
47×	`associate-*r/`
36×	`times-frac`
35×	`associate-*l/`
31×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
25×	`pow1` `add-exp-log`
16×	`flip3--` `flip--`
15×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 150

Calls

4 calls:

23.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (- z t) (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y))))))
3.0ms	(cbrt (/ x (cbrt y)))
2.0ms	(cbrt (/ x y))
2.0ms	(cbrt (/ x y))

series63.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (* (cbrt (/ x y)) (cbrt (/ x y))) (* (- z t) (* (cbrt (/ 1 (* (cbrt y) (cbrt y)))) (cbrt (/ x (cbrt y))))))
26.0ms	(cbrt (/ x (cbrt y)))
12.0ms	(cbrt (/ x y))
12.0ms	(cbrt (/ x y))

simplify49.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5564	3150

prune216.0ms

Filtered

121 candidates to 162 candidates (-33.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	162	8	170

Merged error: 0b

Counts

170 → 8

regimes490.0ms

Accuracy

1.2% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.0b

bsearch36.0ms

Steps

Iters	Range		Point
9	4.9258946478929113e-166	6.1933421371048e-157	5.636785290661637e-158
8	-2.3493436730304643e-282	-4.13574167847913e-285	-7.653736659548734e-284

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	126	31
1	126	31

end0.0ms

sample623.0ms

Algorithm

intervals

Results

267.0ms	8000×	body	80	valid
72.0ms	2102×	body	80	invalid

Details

analyze633.0ms

sample24.0ms

simplify138.0ms

prune12.0ms

localize6.0ms

rewrite23.0ms

series22.0ms

simplify48.0ms

prune94.0ms

localize11.0ms

rewrite27.0ms

series51.0ms

simplify57.0ms

prune145.0ms

localize18.0ms

rewrite31.0ms

series81.0ms

simplify39.0ms

prune178.0ms

localize19.0ms

rewrite40.0ms

series63.0ms

simplify49.0ms

prune216.0ms

regimes490.0ms

bsearch36.0ms

simplify2.0ms

end0.0ms

sample623.0ms

Profiling