Details

sample28.0ms

Algorithm

intervals

Results

17.0ms

311×

body

valid

simplify198.0ms

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: 2.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 y) z)
2.0b	(* x (- 1.0 (* (- 1.0 y) z)))

rewrite18.0ms

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:

10.0ms	(* (- 1.0 y) z)
7.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

series82.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(* (- 1.0 y) z)
51.0ms	(* x (- 1.0 (* (- 1.0 y) z)))

simplify94.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (25.0ms)

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

prune103.0ms

Pruning

6 alts after pruning (5 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)))
2.6b	(* (* x z) (- y 1.0))

rewrite16.0ms

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:

3.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
12.0ms	(* (* x z) (- y 1.0))

series126.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ (* x 1.0) (* (* x z) (- y 1.0)))
55.0ms	(* (* x z) (- y 1.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (40.0ms)

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

prune88.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- y 1.0))
0.3b	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
0.5b	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
2.3b	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-div`
44×	`associate-*r/`
41×	`pow1`
40×	`flip3--` `flip--`
38×	`cbrt-prod`
36×	`add-exp-log` `frac-times`
35×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
23×	`pow-prod-down`
22×	`prod-exp` `cbrt-unprod`
21×	`add-cbrt-cube`
18×	`associate-*l/`
17×	`associate-r`
15×	`add-cube-cbrt`
10×	`swap-sqr` `associate-l`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares`
4×	`add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 159

Calls

4 calls:

2.0ms	(cbrt (- y 1.0))
21.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
103.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
28.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

series485.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (- y 1.0))
130.0ms	(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))
77.0ms	(* (* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0)))) (cbrt (- y 1.0)))
172.0ms	(* (* x z) (* (cbrt (- y 1.0)) (cbrt (- y 1.0))))

simplify99.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	787	1899
1	3305	1673
2	5002	1575

prune393.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.6b	(* (* x z) (- y 1.0))
6.5b	(cbrt (* (* x z) (- y 1.0)))
6.5b	(cbrt (* (* x z) (- y 1.0)))
6.5b	(cbrt (* (* x z) (- y 1.0)))

rewrite38.0ms

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:

11.0ms	(* (* x z) (- y 1.0))
7.0ms	(cbrt (* (* x z) (- y 1.0)))
11.0ms	(cbrt (* (* x z) (- y 1.0)))
7.0ms	(cbrt (* (* x z) (- y 1.0)))

series859.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (* x z) (- y 1.0))
205.0ms	(cbrt (* (* x z) (- y 1.0)))
394.0ms	(cbrt (* (* x z) (- y 1.0)))
210.0ms	(cbrt (* (* x z) (- y 1.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (41.0ms)

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

prune229.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes288.0ms

Accuracy

44.3% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 3.4b

bsearch59.0ms

Steps

Iters	Range		Point
8	11262338022376588.0	7.819954899721762e+19	35608010353305148.0

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	9
1	22	9

end0.0ms

sample793.0ms

Algorithm

intervals

Results

571.0ms

10044×

body

valid