Details

sample105.0ms

Algorithm

intervals

Results

37.0ms	765×	body	80	nan
12.0ms	39×	body	640	valid
10.0ms	176×	body	80	valid
8.0ms	10×	body	1280	valid
4.0ms	23×	body	320	valid
1.0ms	8×	body	160	valid

simplify131.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.2b	(* (- x 1.0) (log y))
4.2b	(log (- 1.0 y))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

12.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
34.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
11.0ms	(* (- x 1.0) (log y))
2.0ms	(log (- 1.0 y))

series370.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
149.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
56.0ms	(* (- x 1.0) (log y))
45.0ms	(log (- 1.0 y))

simplify62.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	629	947
1	2391	888
2	5001	883

prune350.0ms

Filtered

104 candidates to 83 candidates (79.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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

rewrite120.0ms

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:

37.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
37.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
26.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
11.0ms	(* (- x 1.0) (log y))

series404.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
62.0ms	(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
51.0ms	(* 1/2 (/ (pow y 2) (pow 1.0 2)))
57.0ms	(* (- x 1.0) (log y))

simplify102.0ms

Algorithm

egg-herbie

Counts

208 → 208

Iterations

Useful iterations: 1 (23.0ms)

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

prune718.0ms

Filtered

208 candidates to 134 candidates (64.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- 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)

rewrite36.0ms

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:

11.0ms	(* (- x 1.0) (log (cbrt y)))
17.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series630.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (- x 1.0) (log (cbrt y)))
166.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
174.0ms	(cbrt y)
174.0ms	(cbrt y)

simplify79.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (65.0ms)

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

prune662.0ms

Filtered

122 candidates to 103 candidates (84.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (* 2 (log (cbrt y))))
0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (pow (/ 1 y) -1/3))))
0.7b	(cbrt y)
5.2b	(pow (/ 1 y) -1/3)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

82×	`log-prod`
65×	`distribute-rgt-in` `distribute-lft-in`
48×	`add-sqr-sqrt` `*-un-lft-identity`
46×	`add-cube-cbrt`
39×	`unpow-prod-down`
34×	`associate-+r+`
27×	`cbrt-prod` `times-frac`
24×	`associate-+l+`
14×	`add-exp-log`
11×	`pow1`
10×	`associate-*l/`
9×	`add-cbrt-cube`
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` `div-inv` `sqr-pow`
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 → 163

Calls

4 calls:

19.0ms	(* (- x 1.0) (* 2 (log (cbrt y))))
24.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (pow (/ 1 y) -1/3))))
1.0ms	(cbrt y)
4.0ms	(pow (/ 1 y) -1/3)

series805.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (- x 1.0) (* 2 (log (cbrt y))))
322.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (pow (/ 1 y) -1/3))))
186.0ms	(cbrt y)
171.0ms	(pow (/ 1 y) -1/3)

simplify104.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	910	1629
1	3517	1444
2	5001	1390

prune875.0ms

Filtered

175 candidates to 124 candidates (70.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

regimes226.0ms

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	51	29
1	51	29

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	24204×	body	80	nan
334.0ms	5904×	body	80	valid
239.0ms	758×	body	640	valid
161.0ms	262×	body	1280	valid
121.0ms	644×	body	320	valid
53.0ms	455×	body	160	valid