Details

sample174.0ms

Algorithm

intervals

Results

103.0ms

675×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c a) (* y i))
4.8b	(* b (- (* c z) (* t i)))
5.1b	(* x (- (* y z) (* t a)))
5.3b	(* j (- (* c a) (* y i)))

rewrite78.0ms

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--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`diff-log`

Counts

4 → 84

Calls

4 calls:

7.0ms	(- (* c a) (* y i))
21.0ms	(* b (- (* c z) (* t i)))
21.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* j (- (* c a) (* y i)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(- (* c a) (* y i))
83.0ms	(* b (- (* c z) (* t i)))
85.0ms	(* x (- (* y z) (* t a)))
100.0ms	(* j (- (* c a) (* y i)))

simplify1.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1443
1	457
0	167

prune1.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 7.8b

localize63.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (- (* c z) (* t i)))
5.2b	(* x (- (* t a)))
5.2b	(* x (* y z))
5.3b	(* j (- (* c a) (* y i)))

rewrite131.0ms

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` `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 → 88

Calls

4 calls:

43.0ms	(* b (- (* c z) (* t i)))
20.0ms	(* x (- (* t a)))
24.0ms	(* x (* y z))
40.0ms	(* j (- (* c a) (* y i)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* b (- (* c z) (* t i)))
47.0ms	(* x (- (* t a)))
31.0ms	(* x (* y z))
109.0ms	(* j (- (* c a) (* y i)))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	1576
1	473
0	174

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.7b

localize72.0ms

Local error

Found 4 expressions with local error:

4.8b	(* b (- (* c z) (* t i)))
5.1b	(* t (- (* a x)))
5.2b	(* x (* y z))
5.3b	(* j (- (* c a) (* y i)))

rewrite137.0ms

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` `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 → 88

Calls

4 calls:

42.0ms	(* b (- (* c z) (* t i)))
24.0ms	(* t (- (* a x)))
25.0ms	(* x (* y z))
41.0ms	(* j (- (* c a) (* y i)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* b (- (* c z) (* t i)))
50.0ms	(* t (- (* a x)))
39.0ms	(* x (* y z))
87.0ms	(* j (- (* c a) (* y i)))

simplify1.5s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1586
1	484
0	180

prune1.3s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.1b

localize118.0ms

Local error

Found 4 expressions with local error:

3.2b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
4.8b	(* b (- (* c z) (* t i)))
5.2b	(* x (- (* t a)))
5.2b	(* x (* y z))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

92.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
22.0ms	(* b (- (* c z) (* t i)))
16.0ms	(* x (- (* t a)))
12.0ms	(* x (* y z))

series342.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
128.0ms	(* b (- (* c z) (* t i)))
34.0ms	(* x (- (* t a)))
35.0ms	(* x (* y z))

simplify1.8s

Counts

108 → 108

Iterations

Iter	Nodes
done	5005
2	1847
1	554
0	192

prune950.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.2b

regimes3.5s

Accuracy

36.3% (5.6b remaining)

Error of 9.5b against oracle of 3.8b and baseline of 12.7b

bsearch503.0ms

Steps

Iters	Range		Point
11	6.748319292105505e+105	1.7411383107830734e+127	9.5804479424472e+105
10	-4.305632293418417e+22	-238372714549.58408	-2.867181328688748e+17

simplify40.0ms

Iterations

Iter	Nodes
done	111
3	111
2	108
1	92
0	50

end0.0ms

sample4.5s

Algorithm

intervals

Results

3.2s

19377×

body

valid