Details

sample76.0ms

Algorithm

intervals

Results

39.0ms

527×

body

valid

simplify144.0ms

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

localize21.0ms

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)

rewrite28.0ms

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)
9.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
7.0ms	(* (* (* x 18.0) y) z)

series174.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 18.0) y)
17.0ms	(* (* j 27.0) k)
107.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
28.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (11.0ms)

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

prune349.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.5b

localize21.0ms

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)

rewrite30.0ms

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

series174.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 18.0) y)
17.0ms	(* j (* 27.0 k))
109.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
26.0ms	(* (* (* x 18.0) y) z)

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune357.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.5b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
9×	`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:

13.0ms	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
4.0ms	(cbrt (* (* x 18.0) y))
4.0ms	(cbrt (* (* x 18.0) y))
4.0ms	(cbrt (* (* x 18.0) y))

series367.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (* (* (cbrt (* (* x 18.0) y)) (cbrt (* (* x 18.0) y))) (cbrt (* (* x 18.0) y))) z)
96.0ms	(cbrt (* (* x 18.0) y))
94.0ms	(cbrt (* (* x 18.0) y))
96.0ms	(cbrt (* (* x 18.0) y))

simplify117.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	212	532
1	826	394
2	4345	315
3	5002	300

prune384.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.5b

localize26.0ms

Local error

Found 4 expressions with local error:

3.8b	(* (* (* x 18.0) y) z)
8.8b	(cbrt (* (* j 27.0) k))
8.8b	(cbrt (* (* j 27.0) k))
8.8b	(cbrt (* (* j 27.0) k))

rewrite20.0ms

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 (* (* j 27.0) k))
4.0ms	(cbrt (* (* j 27.0) k))
4.0ms	(cbrt (* (* j 27.0) k))

series314.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* (* x 18.0) y) z)
92.0ms	(cbrt (* (* j 27.0) k))
95.0ms	(cbrt (* (* j 27.0) k))
95.0ms	(cbrt (* (* j 27.0) k))

simplify37.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	235	317
1	974	268
2	5002	244

prune327.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.5b

regimes1.2s

Accuracy

31.2% (2.5b remaining)

Error of 4.7b against oracle of 2.3b and baseline of 5.9b

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 (0.0ms)

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

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.4s

16051×

body

valid