Details

sample113.0ms

Algorithm

intervals

Results

80.0ms

571×

body

valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	43	14
1	96	14
2	291	14
3	825	14
4	2021	14
5	5001	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c z) (* t i))
4.7b	(* b (- (* c z) (* t i)))
5.8b	(* x (- (* y z) (* t a)))
6.3b	(* j (- (* c a) (* y i)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

2.0ms	(- (* c z) (* t i))
10.0ms	(* b (- (* c z) (* t i)))
12.0ms	(* x (- (* y z) (* t a)))
10.0ms	(* j (- (* c a) (* y i)))

series234.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* c z) (* t i))
67.0ms	(* b (- (* c z) (* t i)))
66.0ms	(* x (- (* y z) (* t a)))
64.0ms	(* j (- (* c a) (* y i)))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	422	552
1	1762	485
2	5001	485

prune410.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 9.6b

localize24.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (cbrt j) (- (* c a) (* y i)))
3.5b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
4.7b	(* b (- (* c z) (* t i)))
5.8b	(* x (- (* y z) (* t a)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

11.0ms	(* (cbrt j) (- (* c a) (* y i)))
28.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
10.0ms	(* b (- (* c z) (* t i)))
10.0ms	(* x (- (* y z) (* t a)))

series499.0ms

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt j) (- (* c a) (* y i)))
97.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
64.0ms	(* b (- (* c z) (* t i)))
68.0ms	(* x (- (* y z) (* t a)))

simplify82.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	574	966
1	2598	762
2	5001	699

prune520.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.7b

localize22.0ms

Local error

Found 4 expressions with local error:

4.7b	(* b (- (* c z) (* t i)))
4.9b	(* (- j) (* y i))
5.8b	(* x (- (* y z) (* t a)))
6.1b	(* a (* j c))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-l`
18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`distribute-lft-neg-out` `neg-mul-1`

Counts

4 → 92

Calls

4 calls:

10.0ms	(* b (- (* c z) (* t i)))
9.0ms	(* (- j) (* y i))
10.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* a (* j c))

series190.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* b (- (* c z) (* t i)))
31.0ms	(* (- j) (* y i))
65.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* a (* j c))

simplify65.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	483	497
1	2033	427
2	5001	427

prune461.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.2b

localize24.0ms

Local error

Found 4 expressions with local error:

4.7b	(* b (- (* c z) (* t i)))
5.8b	(* x (- (* y z) (* t a)))
6.1b	(* a (* j c))
6.1b	(* i (* j y))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

10.0ms	(* b (- (* c z) (* t i)))
10.0ms	(* x (- (* y z) (* t a)))
6.0ms	(* a (* j c))
6.0ms	(* i (* j y))

series184.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* b (- (* c z) (* t i)))
67.0ms	(* x (- (* y z) (* t a)))
26.0ms	(* a (* j c))
27.0ms	(* i (* j y))

simplify51.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	437	454
1	1780	384
2	5001	384

prune362.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.0b

regimes1.2s

Accuracy

34.3% (4.7b remaining)

Error of 10.4b against oracle of 5.7b and baseline of 12.9b

bsearch301.0ms

Steps

Iters	Range		Point
5	9.659639576692523e+179	2.39480330094481e+180	9.764345164159271e+179
9	-1.5785427958275998e+156	-8.837600630200203e+146	-3.377992531072965e+147

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	59
1	83	59
2	100	59
3	100	59

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.6s

18946×

body

valid