Details

sample183.0ms

Algorithm

intervals

Results

90.0ms	786×	body	80	nan
23.0ms	185×	body	80	valid
18.0ms	32×	body	640	valid
7.0ms	23×	body	320	valid
7.0ms	7×	body	1280	valid
2.0ms	9×	body	160	valid

simplify134.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.6b

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)))) t)
0.1b	(* (- x 1.0) (log y))
4.4b	(log (- 1.0 y))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

14.0ms	(* (- z 1.0) (log (- 1.0 y)))
36.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
11.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series296.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* (- z 1.0) (log (- 1.0 y)))
155.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
58.0ms	(* (- x 1.0) (log y))
42.0ms	(log (- 1.0 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	498	803
1	1805	714
2	5001	701

prune281.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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))))))) t)
0.0b	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.1b	(* (- x 1.0) (log y))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 196

Calls

4 calls:

44.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
33.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
36.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
11.0ms	(* (- x 1.0) (log y))

series426.0ms

Counts

4 → 12

Calls

4 calls:

246.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
54.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
70.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
55.0ms	(* (- x 1.0) (log y))

simplify107.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1020	1919
1	4940	1636
2	5001	1636

prune700.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 1.0) (log (cbrt y)))
0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-+l+`
12×	`associate-+r+`
10×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `associate-r` `associate-l` `flip--`
4×	`frac-add`
3×	`pow1/3`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

12.0ms	(* (- x 1.0) (log (cbrt y)))
20.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series643.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (- x 1.0) (log (cbrt y)))
166.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
180.0ms	(cbrt y)
173.0ms	(cbrt y)

simplify76.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	522	1002
1	2415	876
2	5003	829

prune679.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- x 1.0) (* 2 (log (pow (/ 1 y) -1/3))))
0.3b	(+ (* (- x 1.0) (* 2 (log (pow (/ 1 y) -1/3)))) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
5.2b	(pow (/ 1 y) -1/3)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

148×	`log-prod`
142×	`distribute-rgt-in` `distribute-lft-in`
117×	`unpow-prod-down`
84×	`add-sqr-sqrt` `*-un-lft-identity`
82×	`add-cube-cbrt`
81×	`times-frac`
68×	`associate-+l+`
14×	`add-exp-log`
12×	`associate-+r+`
11×	`pow1`
10×	`associate-*l/`
9×	`cbrt-prod` `add-cbrt-cube` `div-inv` `sqr-pow`
6×	`add-log-exp`
5×	`flip3--` `associate-l` `flip--`
4×	`frac-add` `pow-exp`
3×	`pow-unpow` `pow-pow` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `pow-flip` `flip3-+` `pow1/3` `1-exp` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 229

Calls

4 calls:

33.0ms	(* (- x 1.0) (* 2 (log (pow (/ 1 y) -1/3))))
33.0ms	(+ (* (- x 1.0) (* 2 (log (pow (/ 1 y) -1/3)))) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
4.0ms	(pow (/ 1 y) -1/3)

series786.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (- x 1.0) (* 2 (log (pow (/ 1 y) -1/3))))
310.0ms	(+ (* (- x 1.0) (* 2 (log (pow (/ 1 y) -1/3)))) (* (- x 1.0) (log (cbrt y))))
185.0ms	(cbrt y)
177.0ms	(pow (/ 1 y) -1/3)

simplify130.0ms

Algorithm

egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	1179	2578
1	4116	2363
2	5001	2236

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes318.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	23
1	42	23

end0.0ms

sample5.1s

Algorithm

intervals

Results

2.6s	23401×	body	80	nan
731.0ms	5838×	body	80	valid
354.0ms	743×	body	640	valid
232.0ms	722×	body	320	valid
230.0ms	283×	body	1280	valid
98.0ms	441×	body	160	valid