Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

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: 7.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b	(- (* x y) (* z y))
6.8b	(* (- (* 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)

series76.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(- (* x y) (* z y))
45.0ms	(* (- (* x y) (* z y)) t)

simplify99.0ms

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

prune96.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b	(+ (* x y) (- (* z y)))
6.8b	(* (+ (* x y) (- (* z y))) t)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `add-cbrt-cube`
3×	`associate-r`
2×	`distribute-lft-neg-in` `distribute-rgt-out` `flip3-+` `associate-*l/` `sum-log` `flip-+`
1×	`+-commutative` `neg-sub0` `associate-+r-` `unsub-neg` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

4.0ms	(+ (* x y) (- (* z y)))
7.0ms	(* (+ (* x y) (- (* z y))) t)

series76.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* x y) (- (* z y)))
42.0ms	(* (+ (* x y) (- (* z y))) t)

simplify36.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	180	248
1	921	193
2	5002	186

prune94.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

6.5b	(cbrt (* (- (* x y) (* z y)) t))
6.8b	(* (- (* x y) (* z y)) t)
6.8b	(* (- (* x y) (* z y)) t)
6.8b	(* (- (* x y) (* z y)) t)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

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

series291.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (* (- (* x y) (* z y)) t))
43.0ms	(* (- (* x y) (* z y)) t)
40.0ms	(* (- (* x y) (* z y)) t)
44.0ms	(* (- (* x y) (* z y)) t)

simplify40.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	296	539
1	1082	468
2	5001	458

prune295.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

6.8b	(* (- (* x y) (* z y)) t)
9.7b	(cbrt (- (* x y) (* z y)))
9.7b	(cbrt (- (* x y) (* z y)))
9.7b	(cbrt (- (* x y) (* z y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

6.0ms	(* (- (* 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)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (- (* x y) (* z y)) t)
111.0ms	(cbrt (- (* x y) (* z y)))
108.0ms	(cbrt (- (* x y) (* z y)))
110.0ms	(cbrt (- (* x y) (* z y)))

simplify36.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	274	599
1	961	552
2	5001	529

prune334.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes384.0ms

Accuracy

90% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 6.8b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	40	35
1	45	35
2	51	24
3	54	24
4	60	24
5	71	24
6	78	24
7	79	24
8	79	24

end0.0ms

sample564.0ms

Algorithm

intervals

Results

298.0ms

10672×

body

valid