Details

sample115.0ms

Algorithm

intervals

Results

76.0ms

625×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1898
4	721
3	290
2	96
1	43
0	23

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
3.5b	(* x (- (* y z) (* t a)))
4.7b	(* j (- (* c t) (* i y)))
6.4b	(* b (- (* c z) (* i a)))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

102.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
31.0ms	(* x (- (* y z) (* t a)))
30.0ms	(* j (- (* c t) (* i y)))
40.0ms	(* b (- (* c z) (* i a)))

series1.1s

Counts

4 → 12

Calls

4 calls:

765.0ms	(+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y))))
102.0ms	(* x (- (* y z) (* t a)))
86.0ms	(* j (- (* c t) (* i y)))
102.0ms	(* b (- (* c z) (* i a)))

simplify2.6s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	4739
1	1001
0	279

prune1.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.0b

localize78.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
2.8b	(* (cbrt j) (- (* c t) (* i y)))
3.5b	(* x (- (* y z) (* t a)))
6.4b	(* b (- (* c z) (* i a)))

rewrite158.0ms

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:

51.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
33.0ms	(* (cbrt j) (- (* c t) (* i y)))
39.0ms	(* x (- (* y z) (* t a)))
33.0ms	(* b (- (* c z) (* i a)))

series567.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c t) (* i y))))
308.0ms	(* (cbrt j) (- (* c t) (* i y)))
73.0ms	(* x (- (* y z) (* t a)))
78.0ms	(* b (- (* c z) (* i a)))

simplify1.7s

Counts

124 → 124

Iterations

Iter	Nodes
done	5002
2	2095
1	621
0	214

prune980.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.9b

localize51.0ms

Local error

Found 4 expressions with local error:

6.4b	(* b (- (* c z) (* i a)))
7.1b	(cbrt (* x (- (* y z) (* t a))))
7.1b	(cbrt (* x (- (* y z) (* t a))))
7.1b	(cbrt (* x (- (* y z) (* t a))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

22.0ms	(* b (- (* c z) (* i a)))
9.0ms	(cbrt (* x (- (* y z) (* t a))))
10.0ms	(cbrt (* x (- (* y z) (* t a))))
16.0ms	(cbrt (* x (- (* y z) (* t a))))

series560.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(* b (- (* c z) (* i a)))
170.0ms	(cbrt (* x (- (* y z) (* t a))))
142.0ms	(cbrt (* x (- (* y z) (* t a))))
146.0ms	(cbrt (* x (- (* y z) (* t a))))

simplify1.8s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	3240
2	947
1	321
0	125

prune719.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.9b

localize56.0ms

Local error

Found 4 expressions with local error:

6.4b	(* b (- (* c z) (* i a)))
6.5b	(cbrt (* j (- (* c t) (* i y))))
6.5b	(cbrt (* j (- (* c t) (* i y))))
6.5b	(cbrt (* j (- (* c t) (* i y))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

22.0ms	(* b (- (* c z) (* i a)))
9.0ms	(cbrt (* j (- (* c t) (* i y))))
16.0ms	(cbrt (* j (- (* c t) (* i y))))
9.0ms	(cbrt (* j (- (* c t) (* i y))))

series931.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* b (- (* c z) (* i a)))
181.0ms	(cbrt (* j (- (* c t) (* i y))))
153.0ms	(cbrt (* j (- (* c t) (* i y))))
500.0ms	(cbrt (* j (- (* c t) (* i y))))

simplify1.7s

Counts

73 → 73

Iterations

Iter	Nodes
done	5002
3	3239
2	947
1	321
0	125

prune843.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 5.9b

regimes1.8s

Accuracy

5.7% (5.3b remaining)

Error of 11.7b against oracle of 6.4b and baseline of 12.0b

bsearch304.0ms

Steps

Iters	Range		Point
9	2.381837369857687e-236	1.856464894576902e-230	7.525919208168165e-236
7	-2.5045375550169306e-248	-6.463930918943635e-250	-3.929707136934608e-249

simplify8.0ms

Iterations

Iter	Nodes
done	55
1	55
0	40

end0.0ms

sample4.7s

Algorithm

intervals

Results

3.6s

19097×

body

valid