Details

sample130.0ms

Algorithm

intervals

Results

82.0ms

578×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	2726
4	907
3	333
2	110
1	47
0	23

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.2b

localize54.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* y z) (* t a))
4.0b	(* j (- (* c a) (* y i)))
6.3b	(* x (- (* y z) (* t a)))
6.6b	(* b (- (* c z) (* t i)))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
7×	`sub-neg` `prod-diff`
6×	`associate-*r/` `add-log-exp`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 104

Calls

4 calls:

18.0ms	(- (* y z) (* t a))
55.0ms	(* j (- (* c a) (* y i)))
58.0ms	(* x (- (* y z) (* t a)))
44.0ms	(* b (- (* c z) (* t i)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (* y z) (* t a))
106.0ms	(* j (- (* c a) (* y i)))
97.0ms	(* x (- (* y z) (* t a)))
124.0ms	(* b (- (* c z) (* t i)))

simplify2.5s

Counts

116 → 116

Iterations

Iter	Nodes
done	5003
2	1630
1	527
0	203

prune1.2s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.7b

localize64.0ms

Local error

Found 4 expressions with local error:

4.0b	(* j (- (* c a) (* y i)))
6.3b	(* x (- (* y z) (* a t)))
6.6b	(* b (- (* c z) (* t i)))
48.4b	(fma (- a) t (* a t))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
9×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `associate-l`
6×	`sub-neg` `prod-diff` `associate-*r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 98

Calls

4 calls:

40.0ms	(* j (- (* c a) (* y i)))
41.0ms	(* x (- (* y z) (* a t)))
46.0ms	(* b (- (* c z) (* t i)))
0.0ms	(fma (- a) t (* a t))

series345.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* j (- (* c a) (* y i)))
117.0ms	(* x (- (* y z) (* a t)))
103.0ms	(* b (- (* c z) (* t i)))
34.0ms	(fma (- a) t (* a t))

simplify1.6s

Counts

110 → 110

Iterations

Iter	Nodes
done	5001
2	1472
1	492
0	204

prune1.4s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.7b

localize85.0ms

Local error

Found 4 expressions with local error:

6.6b	(* b (- (* c z) (* t i)))
6.7b	(cbrt (* b (- (* c z) (* t i))))
6.7b	(cbrt (* b (- (* c z) (* t i))))
6.7b	(cbrt (* b (- (* c z) (* t i))))

rewrite102.0ms

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×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`cbrt-prod` `distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-r` `associate-l`
2×	`sub-neg` `prod-diff`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

49.0ms	(* b (- (* c z) (* t i)))
20.0ms	(cbrt (* b (- (* c z) (* t i))))
17.0ms	(cbrt (* b (- (* c z) (* t i))))
15.0ms	(cbrt (* b (- (* c z) (* t i))))

series714.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* b (- (* c z) (* t i)))
210.0ms	(cbrt (* b (- (* c z) (* t i))))
185.0ms	(cbrt (* b (- (* c z) (* t i))))
193.0ms	(cbrt (* b (- (* c z) (* t i))))

simplify2.1s

Counts

83 → 83

Iterations

Iter	Nodes
done	5006
3	2858
2	877
1	293
0	118

prune1.2s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 8.6b

localize124.0ms

Local error

Found 4 expressions with local error:

6.7b	(cbrt (* b (- (* c z) (* t i))))
6.7b	(cbrt (* b (- (* c z) (* t i))))
6.7b	(cbrt (* b (- (* c z) (* t i))))
6.7b	(cbrt (* b (- (* c z) (* t i))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-div` `associate-*r/`
4×	`cbrt-prod` `add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `flip3--` `add-cbrt-cube` `pow1/3` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`

Counts

4 → 56

Calls

4 calls:

17.0ms	(cbrt (* b (- (* c z) (* t i))))
22.0ms	(cbrt (* b (- (* c z) (* t i))))
17.0ms	(cbrt (* b (- (* c z) (* t i))))
16.0ms	(cbrt (* b (- (* c z) (* t i))))

series744.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt (* b (- (* c z) (* t i))))
209.0ms	(cbrt (* b (- (* c z) (* t i))))
175.0ms	(cbrt (* b (- (* c z) (* t i))))
170.0ms	(cbrt (* b (- (* c z) (* t i))))

simplify1.6s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
3	1764
2	562
1	190
0	74

prune961.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 8.6b

regimes2.3s

Accuracy

0% (3.8b remaining)

Error of 12.2b against oracle of 8.4b and baseline of 12.2b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	40
1	40
0	28

end0.0ms

sample4.5s

Algorithm

intervals

Results

3.5s

19172×

body

valid