Details

sample113.0ms

Algorithm

intervals

Results

42.0ms	818×	body	80	nan
9.0ms	14×	body	1280	valid
9.0ms	175×	body	80	valid
9.0ms	31×	body	640	valid
5.0ms	26×	body	320	valid
2.0ms	13×	body	160	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 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: 10.4b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (log (- 1.0 y))))
0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
7.8b	(log (- 1.0 y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

8.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
8.0ms	(* z (log (- 1.0 y)))
5.0ms	(* x (log y))
4.0ms	(log (- 1.0 y))

series288.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(+ (* x (log y)) (* z (log (- 1.0 y))))
83.0ms	(* z (log (- 1.0 y)))
47.0ms	(* x (log y))
57.0ms	(log (- 1.0 y))

simplify63.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	449	675
1	1570	619
2	5002	588

prune308.0ms

Filtered

109 candidates to 76 candidates (69.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	101	8	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	8	110

Merged error: 0.0b

Counts

110 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 195

Calls

4 calls:

21.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
7.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
10.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
5.0ms	(* x (log y))

series403.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
159.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
123.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
55.0ms	(* x (log y))

simplify118.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	871	1525
1	3670	1354
2	5001	1353

prune692.0ms

Filtered

207 candidates to 133 candidates (64.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	205	2	207
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	206	9	215

Merged error: 0.0b

Counts

215 → 9

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
13.5b	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
13.5b	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
13.5b	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3--` `pow1/3` `flip--`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
7.0ms	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series1.8s

Counts

4 → 12

Calls

4 calls:

484.0ms	(* (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
425.0ms	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
421.0ms	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
423.0ms	(cbrt (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify90.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	567	2331
1	2181	2182
2	5003	2092

prune697.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* z (+ (log (sqrt (- 1.0 y))) (log (sqrt (- 1.0 y)))))
0.2b	(* x (log y))
7.8b	(log (sqrt (- 1.0 y)))
7.8b	(log (sqrt (- 1.0 y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-r`
29×	`pow1` `log-pow`
28×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
22×	`log-prod`
18×	`add-cube-cbrt`
10×	`add-exp-log` `distribute-rgt-out` `sqrt-prod`
8×	`sqrt-pow1` `pow1/2` `add-cbrt-cube` `distribute-lft-out`
6×	`associate-l`
4×	`distribute-rgt-in` `log-div` `distribute-lft-in` `sqrt-div` `add-log-exp`
2×	`flip3--` `distribute-lft1-in` `associate-r/` `rem-log-exp` `pow-prod-down` `distribute-rgt1-in` `prod-exp` `-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`flip3-+` `count-2` `flip-+`

Counts

4 → 112

Calls

4 calls:

12.0ms	(* z (+ (log (sqrt (- 1.0 y))) (log (sqrt (- 1.0 y)))))
5.0ms	(* x (log y))
4.0ms	(log (sqrt (- 1.0 y)))
4.0ms	(log (sqrt (- 1.0 y)))

series401.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* z (+ (log (sqrt (- 1.0 y))) (log (sqrt (- 1.0 y)))))
46.0ms	(* x (log y))
98.0ms	(log (sqrt (- 1.0 y)))
96.0ms	(log (sqrt (- 1.0 y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	407	725
1	1516	655
2	5001	625

prune307.0ms

Filtered

124 candidates to 80 candidates (64.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	123	1	124
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	124	9	133

Merged error: 0.0b

Counts

133 → 9

regimes205.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	13
1	26	13

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.2s	23888×	body	80	nan
303.0ms	5588×	body	80	valid
266.0ms	846×	body	640	valid
256.0ms	404×	body	1280	valid
138.0ms	720×	body	320	valid
55.0ms	478×	body	160	valid