Details

sample152.0ms

Algorithm

intervals

Results

60.0ms

569×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1195
3	333
2	110
1	47
0	23

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize72.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (* c t) (* i y))
4.4b	(* j (- (* c t) (* i y)))
4.9b	(* b (- (* c z) (* i a)))
6.5b	(* x (- (* y z) (* t a)))

rewrite96.0ms

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--` `log1p-expm1-u` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-neg` `diff-log`

Counts

4 → 100

Calls

4 calls:

6.0ms	(- (* c t) (* i y))
24.0ms	(* j (- (* c t) (* i y)))
24.0ms	(* b (- (* c z) (* i a)))
39.0ms	(* x (- (* y z) (* t a)))

series340.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(- (* c t) (* i y))
107.0ms	(* j (- (* c t) (* i y)))
80.0ms	(* b (- (* c z) (* i a)))
88.0ms	(* x (- (* y z) (* t a)))

simplify1.5s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
2	2430
1	532
0	200

prune1.2s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.1b

localize82.0ms

Local error

Found 4 expressions with local error:

4.4b	(* j (- (* c t) (* i y)))
4.9b	(* b (- (* c z) (* i a)))
6.5b	(* (fma y z (- (* a t))) x)
48.6b	(fma (- a) t (* a t))

rewrite56.0ms

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

Counts

4 → 86

Calls

4 calls:

26.0ms	(* j (- (* c t) (* i y)))
20.0ms	(* b (- (* c z) (* i a)))
8.0ms	(* (fma y z (- (* a t))) x)
1.0ms	(fma (- a) t (* a t))

series304.0ms

Counts

4 → 12

Calls

4 calls:

100.0ms	(* j (- (* c t) (* i y)))
80.0ms	(* b (- (* c z) (* i a)))
94.0ms	(* (fma y z (- (* a t))) x)
30.0ms	(fma (- a) t (* a t))

simplify1.2s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1624
1	430
0	178

prune1.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.1b

localize120.0ms

Local error

Found 4 expressions with local error:

6.5b	(* (fma y z (- (* a t))) x)
6.5b	(* (fma y z (- (* a t))) x)
6.5b	(* (fma y z (- (* a t))) x)
48.6b	(fma (- a) t (* a t))

rewrite35.0ms

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`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`fma-udef`

Counts

4 → 70

Calls

4 calls:

11.0ms	(* (fma y z (- (* a t))) x)
10.0ms	(* (fma y z (- (* a t))) x)
11.0ms	(* (fma y z (- (* a t))) x)
1.0ms	(fma (- a) t (* a t))

series304.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (fma y z (- (* a t))) x)
94.0ms	(* (fma y z (- (* a t))) x)
83.0ms	(* (fma y z (- (* a t))) x)
48.0ms	(fma (- a) t (* a t))

simplify1.7s

Counts

82 → 82

Iterations

Iter	Nodes
done	5001
3	2389
2	310
1	102
0	56

prune1.3s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 8.1b

localize159.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (fma y z (- (* a t))))
7.5b	(cbrt (fma y z (- (* a t))))
7.5b	(cbrt (fma y z (- (* a t))))
48.6b	(fma (- a) t (* a t))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt (fma y z (- (* a t))))
1.0ms	(cbrt (fma y z (- (* a t))))
1.0ms	(cbrt (fma y z (- (* a t))))
0.0ms	(fma (- a) t (* a t))

series611.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (fma y z (- (* a t))))
168.0ms	(cbrt (fma y z (- (* a t))))
205.0ms	(cbrt (fma y z (- (* a t))))
38.0ms	(fma (- a) t (* a t))

simplify835.0ms

Counts

61 → 61

Iterations

Iter	Nodes
done	5001
3	1043
2	325
1	141
0	70

prune979.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 8.1b

regimes2.9s

Accuracy

6% (3.9b remaining)

Error of 12.2b against oracle of 8.4b and baseline of 12.5b

bsearch335.0ms

Steps

Iters	Range		Point
9	9.883467276077987e-197	1.814937292667864e-189	2.7147272054845436e-192
9	-3.747021332408405e-233	-1.025697257783911e-238	-4.7326183276391225e-237

simplify45.0ms

Iterations

Iter	Nodes
done	77
2	77
1	69
0	48

end0.0ms

sample5.6s

Algorithm

intervals

Results

3.5s

19189×

body

valid