Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

355×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	34	3
2	72	3
3	100	3
4	108	3
5	108	3

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* x y) (* z y))
5.1b	(* (- (* x y) (* z y)) t)

rewrite10.0ms

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×	`flip3--` `distribute-rgt-out--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

3.0ms	(- (* x y) (* z y))
6.0ms	(* (- (* x y) (* z y)) t)

series79.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(- (* x y) (* z y))
46.0ms	(* (- (* x y) (* z y)) t)

simplify102.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	157	205
1	644	173
2	3801	169
3	5001	169

prune97.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (- (* x y) (* z y)) t)
7.6b	(cbrt (* (- (* x y) (* z y)) t))
7.6b	(cbrt (* (- (* x y) (* z y)) t))
7.6b	(cbrt (* (- (* x y) (* z y)) t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `associate-*l/`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity` `add-cbrt-cube`
4×	`flip3--` `associate-l` `flip--` `add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`distribute-rgt-out--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

6.0ms	(* (- (* x y) (* z y)) t)
5.0ms	(cbrt (* (- (* x y) (* z y)) t))
4.0ms	(cbrt (* (- (* x y) (* z y)) t))
4.0ms	(cbrt (* (- (* x y) (* z y)) t))

series570.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- (* x y) (* z y)) t)
177.0ms	(cbrt (* (- (* x y) (* z y)) t))
172.0ms	(cbrt (* (- (* x y) (* z y)) t))
180.0ms	(cbrt (* (- (* x y) (* z y)) t))

simplify40.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	296	593
1	1082	540
2	5001	526

prune270.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (cbrt (- (* x y) (* z y)))) t)
8.3b	(cbrt (- (* x y) (* z y)))
8.3b	(cbrt (- (* x y) (* z y)))
8.3b	(cbrt (- (* x y) (* z y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
40×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
13×	`pow1` `add-exp-log`
12×	`cbrt-prod`
9×	`add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`distribute-rgt-out--` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 89

Calls

4 calls:

20.0ms	(* (* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (cbrt (- (* x y) (* z y)))) t)
3.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))
3.0ms	(cbrt (- (* x y) (* z y)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (cbrt (- (* x y) (* z y)))) t)
115.0ms	(cbrt (- (* x y) (* z y)))
112.0ms	(cbrt (- (* x y) (* z y)))
118.0ms	(cbrt (- (* x y) (* z y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	457	1424
1	1418	1248
2	5001	1116

prune329.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.1b	(* (* t y) (- x z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

7.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify101.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	177	134
1	820	111
2	4326	111
3	5002	111

prune39.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes269.0ms

Accuracy

67.2% (2.1b remaining)

Error of 2.2b against oracle of 0.1b and baseline of 6.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample540.0ms

Algorithm

intervals

Results

266.0ms

10796×

body

valid