Details

sample3.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 74.609375%

Guaranteed chance to sample good point: 54.014423%

Results

11.0ms	18×	body	1280	valid
11.0ms	33×	body	640	valid
10.0ms	160×	body	80	valid
5.0ms	26×	body	320	valid
3.0ms	19×	body	160	valid
0.0ms	1×	body	80	nan

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	30	7
2	39	7
3	45	7
4	60	7
5	88	7
6	125	7
7	176	7
8	208	7
9	225	7
10	293	7
11	293	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: 10.7b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
5.3b	(log (- 1.0 y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`log-prod` `*-un-lft-identity`
13×	`add-cube-cbrt`
11×	`pow1`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`associate-l`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`log-pow`
2×	`log-div` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 86

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series40.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
11.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	458	643
1	1650	563
2	5002	529

prune151.0ms

Filtered

66 candidates to 98 candidates (-48.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	92	6	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
0.0b	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.3b	(* x (log y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

84×	`add-sqr-sqrt`
80×	`times-frac`
72×	`associate-r`
56×	`unpow-prod-down`
48×	`*-un-lft-identity`
46×	`add-cube-cbrt`
29×	`add-exp-log`
24×	`unpow2` `sqr-pow`
18×	`log-prod` `unswap-sqr`
11×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `add-cbrt-cube` `add-log-exp`
10×	`associate-+r+`
9×	`pow1` `div-exp`
7×	`associate--l+`
6×	`pow-to-exp` `associate-+l+` `associate-l` `pow-exp`
3×	`sub-neg` `cbrt-unprod`
2×	`diff-log` `pow-prod-down` `sum-log` `*-commutative`
1×	`cbrt-undiv` `+-commutative` `flip3--` `flip3-+` `associate-*r/` `log-pow` `flip--` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 178

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
6.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
19.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
4.0ms	(* x (log y))

series80.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
26.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
5.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
10.0ms	(* x (log y))

simplify90.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	843	1454
1	3409	1296
2	5001	1293

prune389.0ms

Filtered

125 candidates to 190 candidates (-52.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	184	6	190
Fresh	4	1	5
Picked	1	0	1
Done	0	0	0
Total	189	7	196

Merged error: 0.0b

Counts

196 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log (sqrt y))) (+ (* (log (sqrt y)) x) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) t)
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.3b	(* x (log (sqrt y)))
0.3b	(* (log (sqrt y)) x)

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
80×	`times-frac`
77×	`associate-r`
56×	`unpow-prod-down`
48×	`*-un-lft-identity`
46×	`add-cube-cbrt`
31×	`add-exp-log`
24×	`unpow2` `sqr-pow`
19×	`unswap-sqr`
14×	`pow1`
13×	`add-cbrt-cube` `add-log-exp`
12×	`log-prod` `associate-l` `prod-exp`
9×	`div-exp`
6×	`distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-exp` `sqrt-prod` `log-pow`
4×	`cbrt-unprod`
3×	`diff-log` `pow-prod-down` `sum-log` `*-commutative`
2×	`sqrt-pow1` `pow1/2`
1×	`cbrt-undiv` `sub-neg` `flip3--` `associate-*r/` `associate--l+` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 181

Calls

4 calls:

9.0ms	(- (+ (* x (log (sqrt y))) (+ (* (log (sqrt y)) x) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) t)
20.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
5.0ms	(* x (log (sqrt y)))
4.0ms	(* (log (sqrt y)) x)

series73.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (+ (* x (log (sqrt y))) (+ (* (log (sqrt y)) x) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))) t)
5.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
9.0ms	(* x (log (sqrt y)))
12.0ms	(* (log (sqrt y)) x)

simplify91.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	861	1474
1	3742	1262
2	5001	1246

prune376.0ms

Filtered

124 candidates to 193 candidates (-55.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	193	7	200

Merged error: 0.0b

Counts

200 → 7

localize26.0ms

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)

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 y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series92.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt y) (cbrt y))
24.0ms	(cbrt y)
21.0ms	(cbrt y)
22.0ms	(cbrt y)

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (69.0ms)

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

prune138.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

regimes335.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	18
1	31	18
2	31	18

end0.0ms

sample4.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 74.609375%

Guaranteed chance to sample good point: 54.014423%

Results

370.0ms	5589×	body	80	valid
279.0ms	822×	body	640	valid
265.0ms	400×	body	1280	valid
165.0ms	769×	body	320	valid
56.0ms	420×	body	160	valid
8.0ms	125×	body	80	nan
2.0ms	35×	body	80	invalid

Details

sample3.3s

simplify21.0ms

prune4.0ms

localize12.0ms

rewrite22.0ms

series40.0ms

simplify48.0ms

prune151.0ms

localize17.0ms

rewrite44.0ms

series80.0ms

simplify90.0ms

prune389.0ms

localize23.0ms

rewrite46.0ms

series73.0ms

simplify91.0ms

prune376.0ms

localize26.0ms

rewrite11.0ms

series92.0ms

simplify74.0ms

prune138.0ms

regimes335.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.9s

Profiling