Details

sample102.0ms

Algorithm

intervals

Results

67.0ms

631×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1885
4	721
3	290
2	96
1	43
0	23

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* y z) (* t a))
3.8b	(* j (- (* c a) (* y i)))
4.7b	(* x (- (* y z) (* t a)))
4.9b	(* b (- (* c z) (* t i)))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`associate-r` `associate-l`
7×	`sub-neg`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `add-log-exp`
4×	`flip3--` `insert-posit16` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 88

Calls

4 calls:

12.0ms	(- (* y z) (* t a))
41.0ms	(* j (- (* c a) (* y i)))
30.0ms	(* x (- (* y z) (* t a)))
43.0ms	(* b (- (* c z) (* t i)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (* y z) (* t a))
87.0ms	(* j (- (* c a) (* y i)))
80.0ms	(* x (- (* y z) (* t a)))
99.0ms	(* b (- (* c z) (* t i)))

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1415
1	457
0	170

prune1.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.9b

localize82.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (cbrt j) (- (* c a) (* y i)))
2.2b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
4.7b	(* x (- (* y z) (* t a)))
4.9b	(* b (- (* c z) (* t i)))

rewrite167.0ms

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×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
10×	`sub-neg` `associate-r` `associate-*r/`
4×	`cbrt-prod` `flip3--` `*-commutative` `insert-posit16` `flip--` `add-log-exp` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

49.0ms	(* (cbrt j) (- (* c a) (* y i)))
62.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
24.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* b (- (* c z) (* t i)))

series786.0ms

Counts

4 → 12

Calls

4 calls:

399.0ms	(* (cbrt j) (- (* c a) (* y i)))
153.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
127.0ms	(* x (- (* y z) (* t a)))
105.0ms	(* b (- (* c z) (* t i)))

simplify1.8s

Counts

124 → 124

Iterations

Iter	Nodes
done	5003
2	2096
1	622
0	215

prune1.3s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 4.5b

localize101.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
3.7b	(* a (* x t))
4.7b	(* x (* z y))
4.9b	(* b (- (* c z) (* t i)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`distribute-rgt-in` `add-sqr-sqrt` `distribute-lft-in` `associate-l`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`sub-neg` `associate-r` `associate-*r/`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`flip3--` `flip--`
1×	`unswap-sqr`

Counts

4 → 96

Calls

4 calls:

77.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
14.0ms	(* a (* x t))
18.0ms	(* x (* z y))
46.0ms	(* b (- (* c z) (* t i)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
35.0ms	(* a (* x t))
31.0ms	(* x (* z y))
98.0ms	(* b (- (* c z) (* t i)))

simplify1.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	1748
1	540
0	193

prune1.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.3b

localize99.0ms

Local error

Found 4 expressions with local error:

3.7b	(* a (* x t))
4.7b	(* x (* z y))
4.9b	(* b (- (* c z) (* t i)))
5.1b	(* (* (- j) y) i)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt`
10×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`*-commutative` `insert-posit16` `add-log-exp`
2×	`distribute-lft-neg-out` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

15.0ms	(* a (* x t))
14.0ms	(* x (* z y))
36.0ms	(* b (- (* c z) (* t i)))
18.0ms	(* (* (- j) y) i)

series229.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* a (* x t))
53.0ms	(* x (* z y))
97.0ms	(* b (- (* c z) (* t i)))
33.0ms	(* (* (- j) y) i)

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5001
2	1520
1	435
0	165

prune864.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 3.3b

regimes2.4s

Accuracy

35.4% (5.5b remaining)

Error of 8.8b against oracle of 3.3b and baseline of 11.8b

bsearch358.0ms

Steps

Iters	Range		Point
10	2.5650146037935753e-122	5.617948760873152e-107	1.3675312070107937e-118
9	-1.3367091001934637e-23	-5.671484851909713e-30	-7.292924892323122e-25

simplify18.0ms

Iterations

Iter	Nodes
done	101
3	101
2	92
1	80
0	52

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.4s

18945×

body

valid