Details

sample20.0ms

Algorithm

intervals

Results

7.0ms

336×

body

valid

simplify204.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 3.1b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* (- 1.0 y) z))
0.0b	(* (- 1.0 y) z)
2.9b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite50.0ms

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:

6.0ms	(- 1.0 (* (- 1.0 y) z))
25.0ms	(* (- 1.0 y) z)
18.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series91.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- 1.0 (* (- 1.0 y) z))
30.0ms	(* (- 1.0 y) z)
42.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify105.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (31.0ms)

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

prune117.0ms

Pruning

7 alts after pruning (6 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)))
4.1b	(* (* x z) (- y 1.0))

rewrite43.0ms

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:

11.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
31.0ms	(* (* x z) (- y 1.0))

series111.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
41.0ms	(* (* x z) (- y 1.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (55.0ms)

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

prune141.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- y 1.0))
0.3b	(cbrt (- y 1.0))
1.1b	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
3.1b	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
42×	`associate-*r/`
35×	`flip3--` `flip--`
34×	`pow1` `add-exp-log`
32×	`frac-times`
21×	`pow-prod-down` `prod-exp` `add-cbrt-cube` `cbrt-unprod`
16×	`associate-*l/`
15×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`associate-r`
8×	`add-cube-cbrt`
4×	`add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 118

Calls

4 calls:

5.0ms	(cbrt (- y 1.0))
4.0ms	(cbrt (- y 1.0))
213.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
108.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series385.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt (- y 1.0))
88.0ms	(cbrt (- y 1.0))
63.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
146.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify77.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	665	1553
1	2582	1345
2	5001	1279

prune329.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (* x z) (- y 1.0))
7.3b	(cbrt (* (* x z) (- y 1.0)))
7.3b	(cbrt (* (* x z) (- y 1.0)))
7.3b	(cbrt (* (* x z) (- y 1.0)))

rewrite86.0ms

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:

30.0ms	(* (* x z) (- y 1.0))
17.0ms	(cbrt (* (* x z) (- y 1.0)))
20.0ms	(cbrt (* (* x z) (- y 1.0)))
17.0ms	(cbrt (* (* x z) (- y 1.0)))

series603.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (* x z) (- y 1.0))
185.0ms	(cbrt (* (* x z) (- y 1.0)))
185.0ms	(cbrt (* (* x z) (- y 1.0)))
184.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (39.0ms)

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

prune246.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes331.0ms

Accuracy

85.8% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch66.0ms

Steps

Iters	Range		Point
9	1.8034992792673283e-93	9.357404911228539e-86	4.6177819333441916e-88
8	-8.786492695459696e-39	-4.9707969110282474e-42	-1.2483158484967966e-39

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	9
1	28	9

end0.0ms

sample520.0ms

Algorithm

intervals

Results

228.0ms

10191×

body

valid