Details

analyze77.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
6.2%	43.7%	50%	5
9.4%	28.1%	62.5%	6
12.5%	25%	62.5%	7
15.6%	15.6%	68.8%	8
16.8%	14.4%	68.8%	9
18.5%	8.8%	72.7%	10
19.2%	7.7%	73.1%	11
20.1%	4.6%	75.2%	12
20.5%	4%	75.5%	13
21%	2.4%	76.6%	14

sample23.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	10×	body	80	nan
0.0ms	7×	body	80	invalid

simplify147.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	4908	20
1	4908	20

prune10.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a (/ 1.0 3.0)) 9.0)
0.1b	(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
0.1b	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.2b	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

9.0ms	(* (- a (/ 1.0 3.0)) 9.0)
23.0ms	(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
7.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
13.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

series38.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- a (/ 1.0 3.0)) 9.0)
12.0ms	(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
5.0ms	(sqrt (* (- a (/ 1.0 3.0)) 9.0))
15.0ms	(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

simplify35.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5787	1905

prune256.0ms

Filtered

90 candidates to 113 candidates (-25.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	106	7	113
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	108	7	115

Merged error: 0b

Counts

115 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0)))
0.2b	(/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))))
0.2b	(* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
0.3b	(* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
22×	`add-sqr-sqrt`
20×	`add-exp-log`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`pow-prod-down`
14×	`associate-*l/`
13×	`times-frac` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `associate-l`
5×	`sqrt-prod`
4×	`flip3--` `sqrt-pow1` `sqrt-div` `associate-/r*` `flip--` `add-log-exp`
3×	`cbrt-prod` `associate-/l*`
2×	`associate-/r/` `*-commutative` `difference-of-squares`
1×	`cbrt-undiv` `frac-2neg` `pow1/2` `div-exp` `clear-num` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

14.0ms	(sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0)))
16.0ms	(/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))))
16.0ms	(* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
13.0ms	(* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0)))
19.0ms	(/ rand (sqrt (* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))))
11.0ms	(* (* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0))) (cbrt 9.0))
13.0ms	(* (- a (/ 1.0 3.0)) (* (cbrt 9.0) (cbrt 9.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4966	1451
1	4966	1451

prune231.0ms

Filtered

83 candidates to 110 candidates (-32.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	110	7	117

Merged error: 0b

Counts

117 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* (sqrt (- a (/ 1.0 3.0))) (* 9.0 (sqrt (- a (/ 1.0 3.0))))))
0.2b	(/ rand (sqrt (* (sqrt (- a (/ 1.0 3.0))) (* 9.0 (sqrt (- a (/ 1.0 3.0)))))))
0.2b	(* 9.0 (sqrt (- a (/ 1.0 3.0))))
0.4b	(* (sqrt (- a (/ 1.0 3.0))) (* 9.0 (sqrt (- a (/ 1.0 3.0)))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

54×	`sqrt-div`
32×	`add-sqr-sqrt`
26×	`associate-*r/`
22×	`*-un-lft-identity`
19×	`flip3--` `flip--`
18×	`add-cube-cbrt` `sqrt-prod`
17×	`pow1`
14×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
12×	`frac-times` `associate-l`
10×	`associate-r`
8×	`associate-/r/`
7×	`pow-prod-down`
6×	`associate-*l/`
4×	`prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp` `difference-of-squares`
3×	`sqrt-pow1` `associate-/l*`
2×	`*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`cbrt-undiv` `frac-2neg` `pow1/2` `div-exp` `clear-num` `div-inv`

Counts

4 → 118

Calls

4 calls:

17.0ms	(sqrt (* (sqrt (- a (/ 1.0 3.0))) (* 9.0 (sqrt (- a (/ 1.0 3.0))))))
19.0ms	(/ rand (sqrt (* (sqrt (- a (/ 1.0 3.0))) (* 9.0 (sqrt (- a (/ 1.0 3.0)))))))
10.0ms	(* 9.0 (sqrt (- a (/ 1.0 3.0))))
18.0ms	(* (sqrt (- a (/ 1.0 3.0))) (* 9.0 (sqrt (- a (/ 1.0 3.0)))))

series34.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt (* (sqrt (- a (/ 1.0 3.0))) (* 9.0 (sqrt (- a (/ 1.0 3.0))))))
17.0ms	(/ rand (sqrt (* (sqrt (- a (/ 1.0 3.0))) (* 9.0 (sqrt (- a (/ 1.0 3.0)))))))
5.0ms	(* 9.0 (sqrt (- a (/ 1.0 3.0))))
6.0ms	(* (sqrt (- a (/ 1.0 3.0))) (* 9.0 (sqrt (- a (/ 1.0 3.0)))))

simplify36.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5290	2175

prune290.0ms

Filtered

99 candidates to 130 candidates (-31.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	130	7	137

Merged error: 0b

Counts

137 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1))
0.2b	(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
0.2b	(/ rand (sqrt (- a (/ 1.0 3.0))))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

441×	`times-frac`
343×	`add-sqr-sqrt`
261×	`*-un-lft-identity`
258×	`sqrt-prod`
205×	`add-cube-cbrt`
54×	`difference-of-squares`
36×	`associate-/l*`
27×	`distribute-lft-out--`
18×	`sqrt-div`
16×	`associate-/r/`
15×	`associate-/r*`
13×	`add-exp-log` `add-cbrt-cube`
12×	`flip3--` `flip--`
9×	`div-inv`
7×	`pow1`
6×	`associate-l`
4×	`cbrt-undiv` `frac-times` `div-exp` `associate-r` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `unswap-sqr`

Counts

4 → 355

Calls

4 calls:

6.0ms	(sqrt (- a (/ 1.0 3.0)))
72.0ms	(* (- a (/ 1.0 3.0)) (+ (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1))
20.0ms	(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
9.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (- a (/ 1.0 3.0)))
13.0ms	(* (- a (/ 1.0 3.0)) (+ (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1))
16.0ms	(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
16.0ms	(/ rand (sqrt (- a (/ 1.0 3.0))))

simplify105.0ms

Algorithm

egg-herbie

Counts

367 → 367

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4988	7942
1	4988	7942

prune827.0ms

Filtered

219 candidates to 367 candidates (-67.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	367	0	367
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	367	7	374

Merged error: 0b

Counts

374 → 7

regimes169.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	27
1	39	27

end0.0ms

sample629.0ms

Algorithm

intervals

Results

459.0ms	8000×	body	80	valid
15.0ms	270×	body	80	invalid
14.0ms	269×	body	80	nan

Details

analyze77.0ms

sample23.0ms

simplify147.0ms

prune10.0ms

localize10.0ms

rewrite55.0ms

series38.0ms

simplify35.0ms

prune256.0ms

localize14.0ms

rewrite61.0ms

series51.0ms

simplify53.0ms

prune231.0ms

localize13.0ms

rewrite72.0ms

series34.0ms

simplify36.0ms

prune290.0ms

localize12.0ms

rewrite130.0ms

series49.0ms

simplify105.0ms

prune827.0ms

regimes169.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample629.0ms

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