Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

269×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
7.6b	(/ x (* (- y z) (- y t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`flip3--` `*-un-lft-identity` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`associate-r/` `associate-l/`
3×	`sub-neg` `times-frac` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

12.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
18.0ms	(* (- y z) (- y t))
8.0ms	(/ x (* (- y z) (- y t)))

series177.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
29.0ms	(* (- y z) (- y t))
67.0ms	(/ x (* (- y z) (- y t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	361	530
1	1551	485
2	5001	485

prune231.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
0.0b	(* (- y z) (- y t))
1.5b	(/ 1 (* (- y z) (- y t)))
6.1b	(* x (/ 1 (* (- y z) (- y t))))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
20×	`associate-r` `add-cbrt-cube`
19×	`add-sqr-sqrt` `flip3--` `flip--`
16×	`associate-/r/`
15×	`*-un-lft-identity`
14×	`prod-exp`
12×	`frac-times`
11×	`pow1` `add-cube-cbrt`
8×	`div-exp` `associate-l`
7×	`associate-*r/`
6×	`times-frac` `associate-*l/` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`sub-neg` `pow-prod-down` `associate-/l*`
2×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/r*` `un-div-inv` `inv-pow`

Counts

4 → 122

Calls

4 calls:

4.0ms	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
19.0ms	(* (- y z) (- y t))
14.0ms	(/ 1 (* (- y z) (- y t)))
40.0ms	(* x (/ 1 (* (- y z) (- y t))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
29.0ms	(* (- y z) (- y t))
71.0ms	(/ 1 (* (- y z) (- y t)))
64.0ms	(* x (/ 1 (* (- y z) (- y t))))

simplify75.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	482	813
1	2436	718
2	5001	708

prune319.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ (/ x (- y z)) (- y t)))
0.0b	(/ x (- y z))
2.8b	(/ (/ x (- y z)) (- y t))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
186×	`add-sqr-sqrt`
179×	`*-un-lft-identity`
89×	`add-cube-cbrt`
47×	`difference-of-squares`
45×	`distribute-lft-out--`
24×	`associate-/l*`
16×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `diff-log` `associate-/l/`

Counts

3 → 201

Calls

3 calls:

51.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
5.0ms	(/ x (- y z))
18.0ms	(/ (/ x (- y z)) (- y t))

series181.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(- 1.0 (/ (/ x (- y z)) (- y t)))
31.0ms	(/ x (- y z))
68.0ms	(/ (/ x (- y z)) (- y t))

simplify82.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	711	1896
1	2636	1850
2	5002	1850

prune516.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (- (* y y) (* z z)) (- y t))
2.7b	(- (* y y) (* z z))
5.2b	(/ x (* (- (* y y) (* z z)) (- y t)))
11.2b	(* (/ x (* (- (* y y) (* z z)) (- y t))) (+ y z))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
19×	`flip3--` `associate-l` `flip--`
17×	`add-sqr-sqrt`
16×	`associate-/r/`
15×	`*-un-lft-identity`
14×	`frac-times`
11×	`add-cube-cbrt`
9×	`associate-r`
8×	`pow1` `associate-*r/`
7×	`associate-*l/`
6×	`times-frac` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-/l*` `difference-of-squares`
2×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+` `div-inv` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/r*` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 117

Calls

4 calls:

20.0ms	(* (- (* y y) (* z z)) (- y t))
3.0ms	(- (* y y) (* z z))
8.0ms	(/ x (* (- (* y y) (* z z)) (- y t)))
43.0ms	(* (/ x (* (- (* y y) (* z z)) (- y t))) (+ y z))

series281.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (- (* y y) (* z z)) (- y t))
39.0ms	(- (* y y) (* z z))
86.0ms	(/ x (* (- (* y y) (* z z)) (- y t)))
108.0ms	(* (/ x (* (- (* y y) (* z z)) (- y t))) (+ y z))

simplify92.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	619	1119
1	3344	972
2	5001	969

prune416.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes132.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	6
1	16	6

end0.0ms

sample450.0ms

Algorithm

intervals

Results

240.0ms

8454×

body

valid