Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

342×

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: 5.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.3b	(- (* x y) (* z y))
5.2b	(* (- (* x y) (* z y)) t)

rewrite12.0ms

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:

2.0ms	(- (* x y) (* z y))
9.0ms	(* (- (* 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)

simplify97.0ms

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

prune119.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (- (* x y) (* z y)) t)
6.9b	(cbrt (* (- (* x y) (* z y)) t))
6.9b	(cbrt (* (- (* x y) (* z y)) t))
6.9b	(cbrt (* (- (* x y) (* z y)) t))

rewrite27.0ms

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:

9.0ms	(* (- (* x y) (* z y)) t)
4.0ms	(cbrt (* (- (* x y) (* z y)) t))
7.0ms	(cbrt (* (- (* x y) (* z y)) t))
7.0ms	(cbrt (* (- (* x y) (* z y)) t))

series555.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (- (* x y) (* z y)) t)
168.0ms	(cbrt (* (- (* x y) (* z y)) t))
174.0ms	(cbrt (* (- (* x y) (* z y)) t))
170.0ms	(cbrt (* (- (* x y) (* z y)) t))

simplify36.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (30.0ms)

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

prune229.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (- (* x y) (* z y)) t)
6.9b	(cbrt (* (- (* x y) (* z y)) t))
6.9b	(cbrt (* (- (* x y) (* z y)) t))
8.3b	(cbrt (- (* x y) (* z y)))

rewrite19.0ms

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:

9.0ms	(* (- (* x y) (* z y)) t)
4.0ms	(cbrt (* (- (* x y) (* z y)) t))
4.0ms	(cbrt (* (- (* x y) (* z y)) t))
2.0ms	(cbrt (- (* x y) (* z y)))

series505.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (* x y) (* z y)) t)
185.0ms	(cbrt (* (- (* x y) (* z y)) t))
165.0ms	(cbrt (* (- (* x y) (* z y)) t))
110.0ms	(cbrt (- (* x y) (* z y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (35.0ms)

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

prune297.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

6.9b	(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)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
8×	`cbrt-div`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`
3×	`distribute-rgt-out--`
2×	`associate-*l/`

Counts

4 → 53

Calls

4 calls:

4.0ms	(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)))

series504.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (* (- (* x y) (* z y)) t))
109.0ms	(cbrt (- (* x y) (* z y)))
111.0ms	(cbrt (- (* x y) (* z y)))
113.0ms	(cbrt (- (* x y) (* z y)))

simplify80.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (73.0ms)

Iter	Nodes	Cost
0	311	626
1	915	588
2	3465	560
3	5002	555

prune336.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes275.0ms

Accuracy

81.2% (1.3b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 6.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample556.0ms

Algorithm

intervals

Results

291.0ms

10735×

body

valid