Details

sample106.0ms

Algorithm

intervals

Results

44.0ms

569×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1195
3	333
2	110
1	47
0	23

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c t) (* i y))
4.4b	(* j (- (* c t) (* i y)))
4.9b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
7×	`sub-neg` `prod-diff`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `log1p-expm1-u` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

8.0ms	(- (* c t) (* i y))
20.0ms	(* j (- (* c t) (* i y)))
20.0ms	(* b (- (* c z) (* i a)))
30.0ms	(* x (- (* y z) (* t a)))

series333.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* c t) (* i y))
99.0ms	(* j (- (* c t) (* i y)))
91.0ms	(* b (- (* c z) (* i a)))
95.0ms	(* x (- (* y z) (* t a)))

simplify960.0ms

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	2430
1	532
0	200

prune1.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.2b

localize55.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* j t) c)
4.9b	(* b (- (* c z) (* i a)))
5.0b	(* (* i j) (- y))
6.5b	(* x (- (* y z) (* t a)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-r`
18×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `sub-neg` `prod-diff` `associate-r/` `-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
2×	`flip3--` `flip--` `unswap-sqr`
1×	`neg-mul-1` `distribute-rgt-neg-out`

Counts

4 → 104

Calls

4 calls:

14.0ms	(* (* j t) c)
25.0ms	(* b (- (* c z) (* i a)))
17.0ms	(* (* i j) (- y))
31.0ms	(* x (- (* y z) (* t a)))

series326.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* j t) c)
111.0ms	(* b (- (* c z) (* i a)))
40.0ms	(* (* i j) (- y))
143.0ms	(* x (- (* y z) (* t a)))

simplify1.6s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	3387
1	600
0	218

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 1.6b

localize56.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* j t) c)
4.9b	(* b (- (* c z) (* i a)))
5.0b	(* (* i j) (- y))
5.4b	(* (* z y) x)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
19×	`associate-r`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-in` `distribute-rgt-neg-in` `distribute-lft-in`
2×	`sub-neg` `prod-diff` `associate-*r/`
1×	`neg-mul-1` `flip3--` `distribute-rgt-neg-out` `flip--` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

18.0ms	(* (* j t) c)
21.0ms	(* b (- (* c z) (* i a)))
15.0ms	(* (* i j) (- y))
31.0ms	(* (* z y) x)

series192.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* (* j t) c)
87.0ms	(* b (- (* c z) (* i a)))
31.0ms	(* (* i j) (- y))
30.0ms	(* (* z y) x)

simplify1.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	3250
1	537
0	197

prune1.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.1b

localize108.0ms

Local error

Found 4 expressions with local error:

4.2b	(* (* (cbrt (- y)) (cbrt (- y))) (* i j))
4.2b	(* (* j t) c)
4.9b	(* b (- (* c z) (* i a)))
5.4b	(* (* z y) x)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log`
24×	`add-cbrt-cube`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sub-neg` `prod-diff` `associate-*r/`
1×	`flip3--` `flip--` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

43.0ms	(* (* (cbrt (- y)) (cbrt (- y))) (* i j))
23.0ms	(* (* j t) c)
34.0ms	(* b (- (* c z) (* i a)))
24.0ms	(* (* z y) x)

series477.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(* (* (cbrt (- y)) (cbrt (- y))) (* i j))
43.0ms	(* (* j t) c)
119.0ms	(* b (- (* c z) (* i a)))
41.0ms	(* (* z y) x)

simplify1.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	2761
1	522
0	195

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.1b

regimes2.9s

Accuracy

32% (8.0b remaining)

Error of 9.2b against oracle of 1.2b and baseline of 12.9b

bsearch208.0ms

Steps

Iters	Range		Point
6	1.608859734933991e-44	6.756139951928876e-44	4.422735920963178e-44
4	-450200791915489.44	-264363711735123.75	-329700211979175.06

simplify16.0ms

Iterations

Iter	Nodes
done	116
3	116
2	106
1	88
0	54

end0.0ms

sample4.8s

Algorithm

intervals

Results

3.5s

19189×

body

valid