Details

sample76.0ms

Algorithm

intervals

Results

38.0ms

527×

body

valid

simplify147.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	66	15
1	204	14
2	631	14
3	1468	14
4	2464	14
5	3909	14
6	5001	14

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* (* j 27.0) k)
3.8b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.8b	(* (* (* x 18.0) y) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
5.0ms	(* (* j 27.0) k)
8.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.0ms	(* (* (* x 18.0) y) z)

series172.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
111.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
25.0ms	(* (* (* x 18.0) y) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	406	472
1	2141	393
2	5001	393

prune334.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.2b	(* j (* 27.0 k))
3.8b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
3.8b	(* (* (* x 18.0) y) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-exp-log` `add-cbrt-cube`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`associate-r`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-l`
4×	`*-commutative` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (* x 18.0) y)
5.0ms	(* j (* 27.0 k))
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series173.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
111.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms	(* (* (* x 18.0) y) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	398	471
1	2030	392
2	5001	392

prune359.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.5b

localize25.0ms

Local error

Found 4 expressions with local error:

3.8b	(* (* (* x 18.0) y) z)
15.4b	(cbrt (* (* (* x 18.0) y) z))
15.4b	(cbrt (* (* (* x 18.0) y) z))
15.4b	(cbrt (* (* (* x 18.0) y) z))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 48

Calls

4 calls:

7.0ms	(* (* (* x 18.0) y) z)
5.0ms	(cbrt (* (* (* x 18.0) y) z))
5.0ms	(cbrt (* (* (* x 18.0) y) z))
5.0ms	(cbrt (* (* (* x 18.0) y) z))

series351.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (* (* x 18.0) y) z)
107.0ms	(cbrt (* (* (* x 18.0) y) z))
106.0ms	(cbrt (* (* (* x 18.0) y) z))
111.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify41.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	242	374
1	1048	319
2	5002	310

prune406.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.5b

localize33.0ms

Local error

Found 4 expressions with local error:

3.8b	(* (* (* x 18.0) y) z)
11.7b	(cbrt (* (* x 18.0) y))
15.4b	(cbrt (* (* (* x 18.0) y) z))
15.4b	(cbrt (* (* (* x 18.0) y) z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 48

Calls

4 calls:

7.0ms	(* (* (* x 18.0) y) z)
4.0ms	(cbrt (* (* x 18.0) y))
5.0ms	(cbrt (* (* (* x 18.0) y) z))
5.0ms	(cbrt (* (* (* x 18.0) y) z))

series344.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* (* x 18.0) y) z)
95.0ms	(cbrt (* (* x 18.0) y))
108.0ms	(cbrt (* (* (* x 18.0) y) z))
109.0ms	(cbrt (* (* (* x 18.0) y) z))

simplify40.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	284	355
1	1135	302
2	5002	280

prune380.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 2.5b

regimes1.2s

Accuracy

30.7% (2.5b remaining)

Error of 4.7b against oracle of 2.3b and baseline of 5.8b

bsearch247.0ms

Steps

Iters	Range		Point
7	3.575542335329812e-96	7.050011545142419e-94	4.4440741678924465e-95
9	-3.716424439006801e-130	-2.017847691604128e-136	-6.782931351479745e-133

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	25
1	72	25
2	75	25
3	75	25

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

16051×

body

valid