Details

sample21.0ms

Algorithm

intervals

Results

7.0ms

316×

body

valid

simplify202.0ms

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 3 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

8.0ms	(- 1.0 (* (- 1.0 y) z))
21.0ms	(* (- 1.0 y) z)
17.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series104.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(- 1.0 (* (- 1.0 y) z))
30.0ms	(* (- 1.0 y) z)
48.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify105.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	233	336
1	920	299
2	4132	288
3	5001	288

prune111.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite41.0ms

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

series115.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
49.0ms	(* (* x z) (- y 1.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (43.0ms)

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

prune83.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (* x z) (- y 1.0))
8.0b	(cbrt (* (* x z) (- y 1.0)))
8.0b	(cbrt (* (* x z) (- y 1.0)))
8.0b	(cbrt (* (* x z) (- y 1.0)))

rewrite79.0ms

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:

27.0ms	(* (* x z) (- y 1.0))
18.0ms	(cbrt (* (* x z) (- y 1.0)))
16.0ms	(cbrt (* (* x z) (- y 1.0)))
16.0ms	(cbrt (* (* x z) (- y 1.0)))

series633.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* x z) (- y 1.0))
192.0ms	(cbrt (* (* x z) (- y 1.0)))
192.0ms	(cbrt (* (* x z) (- y 1.0)))
195.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (39.0ms)

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

prune229.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.5b	(* (* x z) (- y 1.0))
8.0b	(cbrt (* (* x z) (- y 1.0)))
8.0b	(cbrt (* (* x z) (- y 1.0)))
8.0b	(cbrt (* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0))))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

84×	`cbrt-div`
38×	`associate-*r/`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt` `associate-r`
4×	`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 → 83

Calls

4 calls:

28.0ms	(* (* x z) (- y 1.0))
15.0ms	(cbrt (* (* x z) (- y 1.0)))
16.0ms	(cbrt (* (* x z) (- y 1.0)))
179.0ms	(cbrt (* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0))))

series629.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* x z) (- y 1.0))
195.0ms	(cbrt (* (* x z) (- y 1.0)))
190.0ms	(cbrt (* (* x z) (- y 1.0)))
195.0ms	(cbrt (* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0))))

simplify63.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	587	1456
1	2132	1366
2	5001	1330

prune329.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes225.0ms

Accuracy

83.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	13
1	28	13

end0.0ms

sample485.0ms

Algorithm

intervals

Results

219.0ms

9994×

body

valid