Details

sample122.0ms

Algorithm

intervals

Results

86.0ms

516×

body

valid

simplify145.0ms

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)
0.4b	(* (* j 27.0) k)
2.9b	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
6.9b	(* (* (* x 18.0) y) z)

rewrite124.0ms

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:

7.0ms	(* (* x 18.0) y)
6.0ms	(* (* j 27.0) k)
87.0ms	(* t (- (* (* (* x 18.0) y) z) (* a 4.0)))
21.0ms	(* (* (* x 18.0) y) z)

series176.0ms

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)))
29.0ms	(* (* (* x 18.0) y) z)

simplify69.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 1 (12.0ms)

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

prune346.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x (* z y)))
0.4b	(* (* j 27.0) k)
2.9b	(* t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)))
4.8b	(* x (* z y))

rewrite53.0ms

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-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r`
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:

15.0ms	(* 18.0 (* x (* z y)))
7.0ms	(* (* j 27.0) k)
23.0ms	(* t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)))
6.0ms	(* x (* z y))

series189.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 18.0 (* x (* z y)))
21.0ms	(* (* j 27.0) k)
114.0ms	(* t (- (pow (* 18.0 (* x (* z y))) 1) (* a 4.0)))
25.0ms	(* x (* z y))

simplify55.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	383	495
1	1718	409
2	5001	405

prune393.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* (* x z) y))
0.4b	(* (* j 27.0) k)
2.9b	(* t (- (pow (* 18.0 (* (* x z) y)) 1) (* a 4.0)))
4.9b	(* (* x z) y)

rewrite57.0ms

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:

18.0ms	(* 18.0 (* (* x z) y))
7.0ms	(* (* j 27.0) k)
23.0ms	(* t (- (pow (* 18.0 (* (* x z) y)) 1) (* a 4.0)))
7.0ms	(* (* x z) y)

series188.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 18.0 (* (* x z) y))
21.0ms	(* (* j 27.0) k)
115.0ms	(* t (- (pow (* 18.0 (* (* x z) y)) 1) (* a 4.0)))
25.0ms	(* (* x z) y)

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	399	497
1	1974	411
2	5001	407

prune389.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 18.0 (* x z))
0.4b	(* (* j 27.0) k)
2.9b	(* t (- (pow (* (* 18.0 (* x z)) y) 1) (* a 4.0)))
4.9b	(* (* 18.0 (* x z)) y)

rewrite56.0ms

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:

6.0ms	(* 18.0 (* x z))
6.0ms	(* (* j 27.0) k)
20.0ms	(* t (- (pow (* (* 18.0 (* x z)) y) 1) (* a 4.0)))
22.0ms	(* (* 18.0 (* x z)) y)

series181.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* 18.0 (* x z))
17.0ms	(* (* j 27.0) k)
118.0ms	(* t (- (pow (* (* 18.0 (* x z)) y) 1) (* a 4.0)))
27.0ms	(* (* 18.0 (* x z)) y)

simplify61.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	397	499
1	1919	413
2	5001	409

prune516.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

regimes1.1s

Accuracy

81.3% (0.8b remaining)

Error of 1.4b against oracle of 0.6b and baseline of 5.0b

bsearch338.0ms

Steps

Iters	Range		Point
8	4.446196181567423e+34	1.9396438805092278e+37	4.517214223796513e+34
9	-7211082237.751262	-4.256207078120721	-138023816.6178498

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	31
1	86	31
2	87	31
3	87	31

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.6s

16423×

body

valid