Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

343×

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: 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)))

rewrite16.0ms

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:

3.0ms	(- 1.0 (* (- 1.0 y) z))
6.0ms	(* (- 1.0 y) z)
5.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(- 1.0 (* (- 1.0 y) z))
33.0ms	(* (- 1.0 y) z)
46.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify97.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (27.0ms)

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

prune122.0ms

Pruning

8 alts after pruning (7 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)))
3.3b	(* (* x z) (- y 1.0))

rewrite12.0ms

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:

4.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
7.0ms	(* (* x z) (- y 1.0))

series125.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
58.0ms	(* (* x z) (- y 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (49.0ms)

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

prune116.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- y 1.0))
0.3b	(cbrt (- y 1.0))
0.7b	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.7b	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite50.0ms

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:

3.0ms	(cbrt (- y 1.0))
6.0ms	(cbrt (- y 1.0))
20.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
14.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series424.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(cbrt (- y 1.0))
100.0ms	(cbrt (- y 1.0))
65.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
162.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify72.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (58.0ms)

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

prune312.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- y 1.0))
0.7b	(* (* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
1.4b	(* (* x z) (cbrt (- y 1.0)))
1.4b	(* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
36×	`associate-*r/`
35×	`flip3--` `flip--`
32×	`pow1` `add-exp-log` `frac-times`
24×	`associate-r`
20×	`cbrt-prod`
19×	`add-sqr-sqrt` `*-un-lft-identity` `pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`associate-*l/` `add-cbrt-cube`
11×	`add-cube-cbrt`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-l` `*-commutative`
1×	`pow1/3`

Counts

4 → 129

Calls

4 calls:

3.0ms	(cbrt (- y 1.0))
19.0ms	(* (* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
8.0ms	(* (* x z) (cbrt (- y 1.0)))
13.0ms	(* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (- y 1.0))
67.0ms	(* (* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0))) (cbrt (- y 1.0)))
134.0ms	(* (* x z) (cbrt (- y 1.0)))
164.0ms	(* (* (* x z) (cbrt (- y 1.0))) (cbrt (- y 1.0)))

simplify93.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	725	1610
1	3414	1473
2	5001	1402

prune327.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes180.0ms

Accuracy

-13.3% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	15
1	36	15
2	43	15
3	43	15

end0.0ms

sample423.0ms

Algorithm

intervals

Results

223.0ms

10053×

body

valid