Details

sample3.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 74.609375%

Guaranteed chance to sample good point: 54.302885%

Results

13.0ms	182×	body	80	valid
11.0ms	29×	body	640	valid
10.0ms	13×	body	1280	valid
5.0ms	21×	body	320	valid
2.0ms	11×	body	160	valid
0.0ms	4×	body	80	nan

simplify133.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	9
1	49	9
2	118	9
3	256	9
4	533	9
5	1250	9
6	2637	9
7	4297	9
8	4573	9
9	4588	9
10	4588	9

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: 8.5b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.2b	(* (- x 1.0) (log y))
5.1b	(log (- 1.0 y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

37×	`log-prod`
35×	`add-sqr-sqrt`
31×	`*-un-lft-identity`
17×	`add-cube-cbrt`
16×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-*l/`
11×	`pow1`
10×	`associate-+r+` `associate-l`
9×	`add-exp-log`
8×	`associate-r` `add-cbrt-cube`
7×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
6×	`associate-+l+` `add-log-exp`
4×	`frac-add`
3×	`log-pow`
2×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 109

Calls

4 calls:

8.0ms	(* (- z 1.0) (log (- 1.0 y)))
11.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series46.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (- z 1.0) (log (- 1.0 y)))
27.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
9.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

simplify66.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	673	1005
1	2529	936
2	5001	886

prune212.0ms

Filtered

87 candidates to 121 candidates (-39.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	115	6	121
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	6	122

Merged error: 0.0b

Counts

122 → 6

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.2b	(* (- x 1.0) (log y))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
80×	`times-frac`
72×	`associate-r`
56×	`unpow-prod-down`
47×	`*-un-lft-identity`
45×	`add-cube-cbrt`
28×	`add-exp-log`
24×	`unpow2` `sqr-pow`
22×	`associate-*l/`
21×	`flip3--` `flip--`
18×	`log-prod` `unswap-sqr`
16×	`frac-add`
11×	`distribute-rgt-in` `distribute-lft-in` `prod-exp`
10×	`associate-+r+` `add-cbrt-cube`
9×	`div-exp`
8×	`pow1` `frac-times` `associate-l`
6×	`pow-to-exp` `associate-+l+` `pow-exp` `associate--l+`
5×	`associate-*r/` `add-log-exp`
3×	`cbrt-unprod`
2×	`sub-neg` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `sum-log` `log-pow` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 182

Calls

3 calls:

19.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
11.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms	(* (- x 1.0) (log y))

series54.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
39.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
10.0ms	(* (- x 1.0) (log y))

simplify51.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1273	2211
1	5001	2082

prune628.0ms

Filtered

133 candidates to 191 candidates (-43.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	186	5	191
Fresh	3	2	5
Picked	1	0	1
Done	0	0	0
Total	190	7	197

Merged error: 0.0b

Counts

197 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log (sqrt y))) (+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.0b	(+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.2b	(* (log (sqrt y)) (- x 1.0))
0.2b	(* (- x 1.0) (log (sqrt y)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

84×	`frac-add`
80×	`flip3--` `flip--`
62×	`associate-*r/`
50×	`associate-*l/`
30×	`log-prod`
26×	`add-sqr-sqrt`
24×	`frac-times`
22×	`*-un-lft-identity`
21×	`distribute-rgt-in` `distribute-lft-in`
18×	`add-cube-cbrt`
16×	`associate-+l+`
12×	`pow1` `sqrt-prod`
11×	`associate-+r+` `associate-r` `associate-l` `add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sub-neg` `associate--l+` `log-pow`
4×	`flip3-+` `sum-log` `flip-+`
2×	`+-commutative` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 168

Calls

4 calls:

17.0ms	(+ (* (- x 1.0) (log (sqrt y))) (+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
11.0ms	(+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms	(* (log (sqrt y)) (- x 1.0))
8.0ms	(* (- x 1.0) (log (sqrt y)))

series97.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* (- x 1.0) (log (sqrt y))) (+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
39.0ms	(+ (* (log (sqrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
8.0ms	(* (log (sqrt y)) (- x 1.0))
8.0ms	(* (- x 1.0) (log (sqrt y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1635	5919
1	5002	5854

prune1.4s

Filtered

146 candidates to 180 candidates (-23.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	179	8	187

Merged error: 0.0b

Counts

187 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite13.0ms

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:

7.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series94.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt y) (cbrt y))
22.0ms	(cbrt y)
22.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify78.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune156.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

regimes538.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	21
1	33	21
2	33	21

end0.0ms

sample5.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 74.609375%

Guaranteed chance to sample good point: 54.302885%

Results

430.0ms	5902×	body	80	valid
265.0ms	715×	body	640	valid
188.0ms	277×	body	1280	valid
163.0ms	712×	body	320	valid
60.0ms	394×	body	160	valid
10.0ms	131×	body	80	nan
3.0ms	37×	body	80	invalid

Details

sample3.4s

simplify133.0ms

prune4.0ms

localize13.0ms

rewrite33.0ms

series46.0ms

simplify66.0ms

prune212.0ms

localize20.0ms

rewrite50.0ms

series54.0ms

simplify51.0ms

prune628.0ms

localize28.0ms

rewrite54.0ms

series97.0ms

simplify91.0ms

prune1.4s

localize28.0ms

rewrite13.0ms

series94.0ms

simplify78.0ms

prune156.0ms

regimes538.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample5.1s

Profiling