Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

330×

body

valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	3
1	36	3
2	80	3
3	123	3
4	141	3
5	143	3
6	143	3

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(- (* x y) (* z y))
6.0b	(* (- (* x y) (* z y)) t)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `flip3--` `distribute-rgt-out--` `associate-*l/` `flip--` `log1p-expm1-u`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

3.0ms	(- (* x y) (* z y))
10.0ms	(* (- (* x y) (* z y)) t)

series88.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (* x y) (* z y))
48.0ms	(* (- (* x y) (* z y)) t)

simplify103.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	173	232
1	656	199
2	3963	195
3	5001	195

prune106.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.2b	(* (* t y) (- x z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

14.0ms

(* (* t y) (- x z))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(* (* t y) (- x z))

simplify40.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	303	430
1	1277	281
2	5002	269

prune70.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

6.2b	(* (* t y) (- x z))
7.7b	(cbrt (* (* t y) (- x z)))
7.7b	(cbrt (* (* t y) (- x z)))
7.7b	(cbrt (* (* t y) (- x z)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*r/`
6×	`cbrt-div`
5×	`associate-r`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg`
1×	`associate-l` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

14.0ms	(* (* t y) (- x z))
7.0ms	(cbrt (* (* t y) (- x z)))
10.0ms	(cbrt (* (* t y) (- x z)))
7.0ms	(cbrt (* (* t y) (- x z)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (* t y) (- x z))
120.0ms	(cbrt (* (* t y) (- x z)))
117.0ms	(cbrt (* (* t y) (- x z)))
118.0ms	(cbrt (* (* t y) (- x z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	410	775
1	1609	599
2	5002	578

prune264.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
8.0b	(cbrt (- (* x y) (* z y)))
8.0b	(cbrt (- (* x y) (* z y)))
8.0b	(cbrt (- (* x y) (* z y)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod`
10×	`add-cbrt-cube`
8×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-out--` `pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 98

Calls

4 calls:

50.0ms	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
2.0ms	(cbrt (- (* x y) (* z y)))
2.0ms	(cbrt (- (* x y) (* z y)))
2.0ms	(cbrt (- (* x y) (* z y)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t))
114.0ms	(cbrt (- (* x y) (* z y)))
114.0ms	(cbrt (- (* x y) (* z y)))
114.0ms	(cbrt (- (* x y) (* z y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	495	1846
1	1443	1619
2	5002	1521

prune308.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes306.0ms

Accuracy

68.5% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 6.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	16
1	29	16

end0.0ms

sample538.0ms

Algorithm

intervals

Results

276.0ms

10643×

body

valid