Details

sample36.0ms

Algorithm

intervals

Results

15.0ms

339×

body

valid

simplify201.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	34	4
2	84	4
3	206	4
4	406	4
5	540	4
6	706	4
7	957	4
8	1458	4
9	2384	4
10	3658	4
11	4031	4
12	4429	4
13	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.4b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

21.0ms	(* (- 1.0 y) z)
17.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series81.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 y) z)
50.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify89.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	211	251
1	863	221
2	3970	215
3	5001	215

prune89.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* (* x z) (- y 1.0)))
3.5b	(* (* x z) (- y 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

10.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
31.0ms	(* (* x z) (- y 1.0))

series114.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
48.0ms	(* (* x z) (- y 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	257	266
1	1177	224
2	5002	219

prune88.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (* x z) (- y 1.0))
6.9b	(cbrt (* (* x z) (- y 1.0)))
6.9b	(cbrt (* (* x z) (- y 1.0)))
6.9b	(cbrt (* (* x z) (- y 1.0)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

29.0ms	(* (* x z) (- y 1.0))
16.0ms	(cbrt (* (* x z) (- y 1.0)))
19.0ms	(cbrt (* (* x z) (- y 1.0)))
16.0ms	(cbrt (* (* x z) (- y 1.0)))

series670.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* x z) (- y 1.0))
204.0ms	(cbrt (* (* x z) (- y 1.0)))
200.0ms	(cbrt (* (* x z) (- y 1.0)))
219.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	356	735
1	1382	659
2	5001	650

prune243.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
0.1b	(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
1.7b	(sqrt (- 1.0 (* (- 1.0 y) z)))
1.7b	(sqrt (- 1.0 (* (- 1.0 y) z)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3--` `flip--`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

18.0ms	(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
47.0ms	(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
5.0ms	(sqrt (- 1.0 (* (- 1.0 y) z)))
5.0ms	(sqrt (- 1.0 (* (- 1.0 y) z)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* x (sqrt (- 1.0 (* (- 1.0 y) z))))
49.0ms	(* (* x (sqrt (- 1.0 (* (- 1.0 y) z)))) (sqrt (- 1.0 (* (- 1.0 y) z))))
97.0ms	(sqrt (- 1.0 (* (- 1.0 y) z)))
99.0ms	(sqrt (- 1.0 (* (- 1.0 y) z)))

simplify51.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	356	871
1	1452	755
2	5002	743

prune213.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes231.0ms

Accuracy

92.6% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.6b

bsearch51.0ms

Steps

Iters	Range		Point
8	2.7059972421207334e-67	9.997259650197897e-65	9.367272916408733e-65
4	-0.00011099759287686347	-5.931762247777049e-05	-8.930485680726371e-05

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample489.0ms

Algorithm

intervals

Results

219.0ms

10088×

body

valid