Details

sample127.0ms

Algorithm

intervals

Results

76.0ms

611×

body

valid

simplify2.5s

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: 11.5b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* i a))
4.5b	(* x (- (* y z) (* t a)))
4.6b	(* b (- (* c z) (* i a)))
5.4b	(* j (- (* c t) (* i y)))

rewrite94.0ms

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:

6.0ms	(- (* c z) (* i a))
24.0ms	(* x (- (* y z) (* t a)))
34.0ms	(* b (- (* c z) (* i a)))
28.0ms	(* j (- (* c t) (* i y)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* c z) (* i a))
76.0ms	(* x (- (* y z) (* t a)))
80.0ms	(* b (- (* c z) (* i a)))
74.0ms	(* j (- (* c t) (* i y)))

simplify1.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5001
2	1443
1	458
0	167

prune1.2s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 7.2b

localize91.0ms

Local error

Found 4 expressions with local error:

5.4b	(* j (- (* c t) (* i y)))
6.6b	(cbrt (- (* c z) (* i a)))
6.6b	(cbrt (- (* c z) (* i a)))
6.6b	(cbrt (- (* c z) (* i a)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

23.0ms	(* j (- (* c t) (* i y)))
4.0ms	(cbrt (- (* c z) (* i a)))
4.0ms	(cbrt (- (* c z) (* i a)))
5.0ms	(cbrt (- (* c z) (* i a)))

series604.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* j (- (* c t) (* i y)))
166.0ms	(cbrt (- (* c z) (* i a)))
142.0ms	(cbrt (- (* c z) (* i a)))
179.0ms	(cbrt (- (* c z) (* i a)))

simplify2.4s

Counts

75 → 75

Iterations

Iter	Nodes
done	5021
3	3054
2	918
1	325
0	122

prune1.0s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.2b

localize130.0ms

Local error

Found 4 expressions with local error:

4.8b	(* (- (* i y)) j)
6.6b	(cbrt (- (* c z) (* i a)))
6.6b	(cbrt (- (* c z) (* i a)))
6.6b	(cbrt (- (* c z) (* i a)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

17.0ms	(* (- (* i y)) j)
5.0ms	(cbrt (- (* c z) (* i a)))
4.0ms	(cbrt (- (* c z) (* i a)))
5.0ms	(cbrt (- (* c z) (* i a)))

series561.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (- (* i y)) j)
185.0ms	(cbrt (- (* c z) (* i a)))
174.0ms	(cbrt (- (* c z) (* i a)))
165.0ms	(cbrt (- (* c z) (* i a)))

simplify2.8s

Counts

73 → 73

Iterations

Iter	Nodes
done	5016
3	3693
2	886
1	284
0	109

prune1.1s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 6.7b

localize121.0ms

Local error

Found 4 expressions with local error:

6.6b	(cbrt (- (* c z) (* i a)))
6.6b	(cbrt (- (* c z) (* i a)))
6.6b	(cbrt (- (* c z) (* i a)))
6.6b	(cbrt (- (* c z) (* i a)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `cbrt-div` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

9.0ms	(cbrt (- (* c z) (* i a)))
9.0ms	(cbrt (- (* c z) (* i a)))
8.0ms	(cbrt (- (* c z) (* i a)))
9.0ms	(cbrt (- (* c z) (* i a)))

series687.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (- (* c z) (* i a)))
168.0ms	(cbrt (- (* c z) (* i a)))
162.0ms	(cbrt (- (* c z) (* i a)))
188.0ms	(cbrt (- (* c z) (* i a)))

simplify2.6s

Counts

64 → 64

Iterations

Iter	Nodes
done	5001
4	4184
3	1283
2	474
1	184
0	70

prune1.0s

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 6.7b

regimes3.5s

Accuracy

-11.2% (5.7b remaining)

Error of 13.1b against oracle of 7.4b and baseline of 12.5b

bsearch410.0ms

Steps

Iters	Range		Point
7	-6.635049290866234e-32	-1.7844426549026617e-33	-6.53514016554071e-32
10	-9.355008910850116e+33	-5.197110785751455e+21	-5.478662367150613e+21

simplify41.0ms

Iterations

Iter	Nodes
done	107
3	107
2	103
1	84
0	52

end0.0ms

sample5.2s

Algorithm

intervals

Results

3.8s

19247×

body

valid