Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

335×

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: 6.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b	(- (* x y) (* z y))
6.3b	(* (- (* x y) (* z y)) t)

rewrite9.0ms

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))
5.0ms	(* (- (* x y) (* z y)) t)

series75.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- (* x y) (* z y))
44.0ms	(* (- (* x y) (* z y)) t)

simplify96.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (21.0ms)

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

prune92.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

6.3b	(* (- (* x y) (* z y)) t)
8.4b	(cbrt (* (- (* x y) (* z y)) t))
8.4b	(cbrt (* (- (* x y) (* z y)) t))
8.4b	(cbrt (* (- (* x y) (* z y)) t))

rewrite20.0ms

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

series578.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (- (* x y) (* z y)) t)
174.0ms	(cbrt (* (- (* x y) (* z y)) t))
179.0ms	(cbrt (* (- (* x y) (* z y)) t))
169.0ms	(cbrt (* (- (* x y) (* z y)) t))

simplify38.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (32.0ms)

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

prune255.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

6.3b	(* (- (* x y) (* z y)) t)
8.4b	(cbrt (* (- (* x y) (* z y)) t))
8.4b	(cbrt (* (- (* x y) (* z y)) t))
9.3b	(cbrt (- (* x y) (* z y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

6.0ms	(* (- (* x y) (* z y)) t)
4.0ms	(cbrt (* (- (* x y) (* z y)) t))
5.0ms	(cbrt (* (- (* x y) (* z y)) t))
3.0ms	(cbrt (- (* x y) (* z y)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (- (* x y) (* z y)) t)
174.0ms	(cbrt (* (- (* x y) (* z y)) t))
178.0ms	(cbrt (* (- (* x y) (* z y)) t))
111.0ms	(cbrt (- (* x y) (* z y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	371	595
1	1264	544
2	5001	521

prune310.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

8.4b	(cbrt (* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t)))
9.3b	(cbrt (- (* x y) (* z y)))
9.3b	(cbrt (- (* x y) (* z y)))
9.3b	(cbrt (- (* x y) (* z y)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

86×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3--` `flip--`
28×	`frac-times`
13×	`cbrt-prod`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`distribute-rgt-out--`

Counts

4 → 77

Calls

4 calls:

16.0ms	(cbrt (* (* (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)))
4.0ms	(cbrt (- (* x y) (* z y)))

series511.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt (* (* (cbrt (- (* x y) (* z y))) (cbrt (- (* x y) (* z y)))) (* (cbrt (- (* x y) (* z y))) t)))
115.0ms	(cbrt (- (* x y) (* z y)))
110.0ms	(cbrt (- (* x y) (* z y)))
111.0ms	(cbrt (- (* x y) (* z y)))

simplify90.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	520	1779
1	1264	1719
2	3603	1642
3	5001	1637

prune342.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes395.0ms

Accuracy

79.8% (1.4b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 6.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample551.0ms

Algorithm

intervals

Results

286.0ms

10673×

body

valid