Details

sample217.0ms

Algorithm

intervals

Results

165.0ms

555×

body

valid

simplify2.9s

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: 11.3b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* y z) (* t a))
3.9b	(* b (- (* c z) (* i a)))
5.1b	(* x (- (* y z) (* t a)))
5.8b	(* j (- (* c t) (* i y)))

rewrite112.0ms

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:

8.0ms	(- (* y z) (* t a))
24.0ms	(* b (- (* c z) (* i a)))
24.0ms	(* x (- (* y z) (* t a)))
54.0ms	(* j (- (* c t) (* i y)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(- (* y z) (* t a))
91.0ms	(* b (- (* c z) (* i a)))
105.0ms	(* x (- (* y z) (* t a)))
98.0ms	(* j (- (* c t) (* i y)))

simplify1.3s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1415
1	457
0	170

prune1.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 6.8b

localize99.0ms

Local error

Found 4 expressions with local error:

5.1b	(cbrt (- (* c z) (* i a)))
5.1b	(cbrt (- (* c z) (* i a)))
5.1b	(* x (- (* y z) (* t a)))
5.8b	(* j (- (* c t) (* i y)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

11.0ms	(cbrt (- (* c z) (* i a)))
10.0ms	(cbrt (- (* c z) (* i a)))
42.0ms	(* x (- (* y z) (* t a)))
32.0ms	(* j (- (* c t) (* i y)))

series562.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (- (* c z) (* i a)))
178.0ms	(cbrt (- (* c z) (* i a)))
103.0ms	(* x (- (* y z) (* t a)))
128.0ms	(* j (- (* c t) (* i y)))

simplify2.6s

Counts

90 → 90

Iterations

Iter	Nodes
done	5003
3	4780
2	1347
1	464
0	174

prune1.3s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 6.8b

localize114.0ms

Local error

Found 4 expressions with local error:

5.1b	(cbrt (- (* c z) (* i a)))
5.1b	(cbrt (* (* (cbrt (- (* c z) (* i a))) (cbrt (- (* c z) (* i a)))) (cbrt (- (* c z) (* i a)))))
5.1b	(* x (- (* y z) (* t a)))
5.8b	(* j (- (* c t) (* i y)))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

82×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times`
14×	`associate-*l/`
13×	`add-sqr-sqrt`
12×	`associate-*r/`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `add-cbrt-cube` `add-exp-log`
6×	`associate-r` `associate-l`
4×	`cbrt-prod` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `insert-posit16` `add-log-exp`
2×	`pow1/3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow3` `rem-cbrt-cube`

Counts

4 → 101

Calls

4 calls:

5.0ms	(cbrt (- (* c z) (* i a)))
121.0ms	(cbrt (* (* (cbrt (- (* c z) (* i a))) (cbrt (- (* c z) (* i a)))) (cbrt (- (* c z) (* i a)))))
49.0ms	(* x (- (* y z) (* t a)))
40.0ms	(* j (- (* c t) (* i y)))

series735.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (- (* c z) (* i a)))
129.0ms	(cbrt (* (* (cbrt (- (* c z) (* i a))) (cbrt (- (* c z) (* i a)))) (cbrt (- (* c z) (* i a)))))
78.0ms	(* x (- (* y z) (* t a)))
393.0ms	(* j (- (* c t) (* i y)))

simplify2.4s

Counts

113 → 113

Iterations

Iter	Nodes
done	5003
3	4870
2	1481
1	594
0	269

prune1.4s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.8b

localize76.0ms

Local error

Found 4 expressions with local error:

5.8b	(* j (- (* c t) (* i y)))
6.2b	(cbrt (* b (- (* c z) (* i a))))
6.2b	(cbrt (* b (- (* c z) (* i a))))
6.2b	(cbrt (* b (- (* c z) (* i a))))

rewrite87.0ms

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:

35.0ms	(* j (- (* c t) (* i y)))
14.0ms	(cbrt (* b (- (* c z) (* i a))))
23.0ms	(cbrt (* b (- (* c z) (* i a))))
15.0ms	(cbrt (* b (- (* c z) (* i a))))

series617.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* j (- (* c t) (* i y)))
182.0ms	(cbrt (* b (- (* c z) (* i a))))
178.0ms	(cbrt (* b (- (* c z) (* i a))))
177.0ms	(cbrt (* b (- (* c z) (* i a))))

simplify1.8s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
3	3270
2	952
1	321
0	125

prune810.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 6.8b

regimes2.7s

Accuracy

7.1% (3.4b remaining)

Error of 11.2b against oracle of 7.8b and baseline of 11.5b

bsearch273.0ms

Steps

Iters	Range		Point
8	6.685898308603112e-220	1.8081779819375835e-217	2.7793681624166355e-219
7	-4.1120446060666776e-231	-1.6882813097565328e-232	-3.645805544531443e-232

simplify25.0ms

Iterations

Iter	Nodes
done	62
2	62
1	56
0	38

end0.0ms

sample6.0s

Algorithm

intervals

Results

4.0s

18728×

body

valid