Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.9b	(- (* x y) (* z y))
6.4b	(* (- (* x y) (* z y)) t)

rewrite13.0ms

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)

series80.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- (* x y) (* z y))
46.0ms	(* (- (* x y) (* z y)) t)

simplify98.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (22.0ms)

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

prune94.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- x z) t)
5.7b	(* y (* (- x z) t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`associate-l`
7×	`*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
2×	`flip3--` `associate-r/` `-commutative` `flip--` `add-log-exp`
1×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

10.0ms	(* (- x z) t)
13.0ms	(* y (* (- x z) t))

series68.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- x z) t)
40.0ms	(* y (* (- x z) t))

simplify101.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	183	193
1	784	160
2	4688	160
3	5001	160

prune104.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

5.7b	(* y (* (- x z) t))
6.6b	(cbrt (* y (* (- x z) t)))
6.6b	(cbrt (* y (* (- x z) t)))
6.6b	(cbrt (* y (* (- x z) t)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

13.0ms	(* y (* (- x z) t))
10.0ms	(cbrt (* y (* (- x z) t)))
10.0ms	(cbrt (* y (* (- x z) t)))
13.0ms	(cbrt (* y (* (- x z) t)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* y (* (- x z) t))
103.0ms	(cbrt (* y (* (- x z) t)))
103.0ms	(cbrt (* y (* (- x z) t)))
103.0ms	(cbrt (* y (* (- x z) t)))

simplify77.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	248	422
1	802	372
2	3704	363
3	5002	354

prune206.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

5.7b	(* y (* (- x z) t))
6.6b	(cbrt (* y (* (- x z) t)))
6.6b	(cbrt (* y (* (- x z) t)))
6.6b	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 53

Calls

4 calls:

13.0ms	(* y (* (- x z) t))
12.0ms	(cbrt (* y (* (- x z) t)))
10.0ms	(cbrt (* y (* (- x z) t)))
40.0ms	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* y (* (- x z) t))
108.0ms	(cbrt (* y (* (- x z) t)))
105.0ms	(cbrt (* y (* (- x z) t)))
138.0ms	(cbrt (* (* (cbrt y) (cbrt y)) (* (cbrt y) (* (- x z) t))))

simplify92.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	294	490
1	950	430
2	4528	418
3	5001	415

prune230.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 0.0b

regimes383.0ms

Accuracy

80.3% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 7.2b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	13
1	25	13

end0.0ms

sample504.0ms

Algorithm

intervals

Results

259.0ms

10667×

body

valid