Details

sample134.0ms

Algorithm

intervals

Results

52.0ms	744×	body	80	nan
15.0ms	36×	body	640	valid
15.0ms	177×	body	80	valid
11.0ms	14×	body	1280	valid
4.0ms	16×	body	320	valid
3.0ms	14×	body	160	valid

simplify24.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
4.3b	(log (- 1.0 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

16.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms	(* x (log y))
2.0ms	(log (- 1.0 y))

series164.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
39.0ms	(* x (log y))
42.0ms	(log (- 1.0 y))

simplify97.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	331	424
1	1046	374
2	4070	357
3	5001	357

prune173.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 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)))))))
0.3b	(* x (log y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 68

Calls

3 calls:

17.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
9.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
4.0ms	(* x (log y))

series343.0ms

Counts

3 → 9

Calls

3 calls:

176.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
128.0ms	(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
39.0ms	(* x (log y))

simplify135.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	333	807
1	1106	766
2	4946	740
3	5002	740

prune288.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

24×	`log-prod`
22×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-log-exp`
16×	`add-cube-cbrt`
12×	`pow1` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `sqrt-prod`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log` `log-pow`
3×	`diff-log`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

63.0ms	(- (+ (* 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)
13.0ms	(+ (* x (log (sqrt y))) (+ (* (log (sqrt y)) x) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
5.0ms	(* x (log (sqrt y)))
4.0ms	(* (log (sqrt y)) x)

series598.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(- (+ (* 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)
139.0ms	(+ (* x (log (sqrt y))) (+ (* (log (sqrt y)) x) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
85.0ms	(* x (log (sqrt y)))
119.0ms	(* (log (sqrt y)) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	441	1348
1	1705	1209
2	5002	1162

prune441.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt y))
0.2b	(* x (+ (log (sqrt (sqrt y))) (log (sqrt y))))
0.3b	(* (log (sqrt (sqrt y))) x)
0.3b	(+ (log (sqrt (sqrt y))) (log (sqrt y)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

53×	`log-pow`
43×	`pow1`
34×	`sqrt-pow1`
27×	`*-un-lft-identity`
22×	`pow1/2` `associate-r` `sqrt-prod`
21×	`add-sqr-sqrt`
16×	`distribute-rgt-out`
15×	`add-cube-cbrt` `log-prod`
12×	`distribute-lft-out`
11×	`associate-l`
9×	`associate-+l+`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-+r+`
4×	`distribute-lft1-in` `add-log-exp`
2×	`rem-sqrt-square` `flip3-+` `associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log`

Counts

4 → 122

Calls

4 calls:

1.0ms	(sqrt (sqrt y))
28.0ms	(* x (+ (log (sqrt (sqrt y))) (log (sqrt y))))
5.0ms	(* (log (sqrt (sqrt y))) x)
13.0ms	(+ (log (sqrt (sqrt y))) (log (sqrt y)))

series729.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt (sqrt y))
241.0ms	(* x (+ (log (sqrt (sqrt y))) (log (sqrt y))))
176.0ms	(* (log (sqrt (sqrt y))) x)
164.0ms	(+ (log (sqrt (sqrt y))) (log (sqrt y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	588	852
1	2347	753
2	5003	744

prune687.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes198.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	23
1	35	23

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.7s	24078×	body	80	nan
484.0ms	5508×	body	80	valid
400.0ms	915×	body	640	valid
324.0ms	412×	body	1280	valid
217.0ms	744×	body	320	valid
83.0ms	452×	body	160	valid