Details

sample137.0ms

Algorithm

intervals

Results

103.0ms

627×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

Iter	Nodes
6	4056
5	1674
4	721
3	290
2	96
1	43
0	23

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c t) (* i y))
4.2b	(* x (- (* y z) (* t a)))
4.8b	(* b (- (* c z) (* i a)))
7.1b	(* j (- (* c t) (* i y)))

rewrite100.0ms

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:

9.0ms	(- (* c t) (* i y))
24.0ms	(* x (- (* y z) (* t a)))
39.0ms	(* b (- (* c z) (* i a)))
25.0ms	(* j (- (* c t) (* i y)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(- (* c t) (* i y))
102.0ms	(* x (- (* y z) (* t a)))
98.0ms	(* b (- (* c z) (* i a)))
86.0ms	(* j (- (* c t) (* i y)))

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
3	4443
2	1219
1	423
0	170

prune2.0s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 8.3b

localize75.0ms

Local error

Found 4 expressions with local error:

2.9b	(* x (- (* t a)))
4.8b	(* b (- (* c z) (* i a)))
5.3b	(* x (* y z))
7.1b	(* j (- (* c t) (* i y)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`associate-r`
12×	`associate-l`
11×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `-commutative` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`flip3--` `flip--`
1×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `distribute-rgt-neg-out`

Counts

4 → 92

Calls

4 calls:

16.0ms	(* x (- (* t a)))
31.0ms	(* b (- (* c z) (* i a)))
26.0ms	(* x (* y z))
27.0ms	(* j (- (* c t) (* i y)))

series265.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* x (- (* t a)))
88.0ms	(* b (- (* c z) (* i a)))
36.0ms	(* x (* y z))
103.0ms	(* j (- (* c t) (* i y)))

simplify1.7s

Counts

104 → 104

Iterations

Iter	Nodes
3	5395
2	1391
1	446
0	178

prune2.5s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.3b

localize65.0ms

Local error

Found 4 expressions with local error:

7.1b	(* j (- (* c t) (* i y)))
17.6b	(cbrt (* x (- (* t a))))
17.6b	(cbrt (* x (- (* t a))))
17.6b	(cbrt (* x (- (* t a))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

35.0ms	(* j (- (* c t) (* i y)))
6.0ms	(cbrt (* x (- (* t a))))
9.0ms	(cbrt (* x (- (* t a))))
6.0ms	(cbrt (* x (- (* t a))))

series465.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* j (- (* c t) (* i y)))
116.0ms	(cbrt (* x (- (* t a))))
122.0ms	(cbrt (* x (- (* t a))))
117.0ms	(cbrt (* x (- (* t a))))

simplify458.0ms

Counts

67 → 67

Iterations

Iter	Nodes
3	2048
2	635
1	251
0	106

prune1.6s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.3b

localize79.0ms

Local error

Found 4 expressions with local error:

7.1b	(* j (- (* c t) (* i y)))
11.7b	(cbrt (- (* t a)))
17.6b	(cbrt (* x (- (* t a))))
17.6b	(cbrt (* x (- (* t a))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 60

Calls

4 calls:

41.0ms	(* j (- (* c t) (* i y)))
2.0ms	(cbrt (- (* t a)))
13.0ms	(cbrt (* x (- (* t a))))
6.0ms	(cbrt (* x (- (* t a))))

series519.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* j (- (* c t) (* i y)))
146.0ms	(cbrt (- (* t a)))
149.0ms	(cbrt (* x (- (* t a))))
138.0ms	(cbrt (* x (- (* t a))))

simplify604.0ms

Counts

72 → 72

Iterations

Iter	Nodes
3	2251
2	718
1	304
0	137

prune1.5s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.3b

regimes2.1s

Accuracy

-0.2% (5.7b remaining)

Error of 12.0b against oracle of 6.3b and baseline of 12.0b

bsearch237.0ms

Steps

Iters	Range		Point
6	6.116042014021991e-195	2.4508416981528787e-194	6.49122377284293e-195
7	-4.833760153045247e-145	-1.8395516698944648e-146	-1.85781810003466e-146

simplify41.0ms

Iterations

Iter	Nodes
4	69
3	69
2	68
1	62
0	37

end0.0ms

sample5.7s

Algorithm

intervals

Results

4.2s

19042×

body

valid