Details

sample99.0ms

Algorithm

intervals

Results

33.0ms	772×	body	80	nan
10.0ms	35×	body	640	valid
8.0ms	171×	body	80	valid
5.0ms	9×	body	1280	valid
4.0ms	23×	body	320	valid
2.0ms	18×	body	160	valid

simplify25.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

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)))
0.2b	(* x (log y))
4.8b	(log (- 1.0 y))

rewrite26.0ms

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)
9.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series258.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
68.0ms	(* z (log (- 1.0 y)))
47.0ms	(* x (log y))
47.0ms	(log (- 1.0 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	436	628
1	1539	553
2	5002	530

prune286.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))))))) t)
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

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

Counts

4 → 184

Calls

4 calls:

20.0ms	(* 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))))))) t)
13.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
5.0ms	(* x (log y))

series415.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
202.0ms	(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
111.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
48.0ms	(* x (log y))

simplify102.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	862	1576
1	4087	1305
2	5001	1305

prune843.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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

rewrite59.0ms

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`
22×	`associate--l+`
19×	`unswap-sqr`
16×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-cbrt-cube`
12×	`pow1` `associate-+r+` `prod-exp`
9×	`div-exp` `associate-l` `add-log-exp`
6×	`pow-to-exp` `associate-+l+` `pow-exp`
5×	`sub-neg`
4×	`cbrt-unprod`
3×	`associate-r/` `pow-prod-down` `-commutative`
2×	`sum-log` `log-pow` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+` `div-inv` `difference-of-squares`

Counts

4 → 199

Calls

4 calls:

20.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
13.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
13.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms	(* x (log y))

series402.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
194.0ms	(+ (* x (log y)) (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
109.0ms	(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
46.0ms	(* x (log y))

simplify100.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	900	1682
1	4163	1419
2	5001	1419

prune728.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)

rewrite12.0ms

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:

6.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series774.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (cbrt y) (cbrt y))
183.0ms	(cbrt y)
190.0ms	(cbrt y)
186.0ms	(cbrt y)

simplify89.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune409.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes264.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	20
1	35	20

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.1s	23975×	body	80	nan
277.0ms	5569×	body	80	valid
249.0ms	421×	body	1280	valid
243.0ms	831×	body	640	valid
133.0ms	758×	body	320	valid
48.0ms	446×	body	160	valid