Details

sample94.0ms

Algorithm

intervals

Results

58.0ms

597×

body

valid

simplify2.4s

Counts

1 → 1

Iterations

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

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 11.5b

localize78.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* z y) (* t a))
3.7b	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
4.1b	(fma (- (* a c) (* i y)) j (fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x)))
5.4b	(* (- (* z y) (* t a)) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

9.0ms	(- (* z y) (* t a))
0.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
0.0ms	(fma (- (* a c) (* i y)) j (fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x)))
26.0ms	(* (- (* z y) (* t a)) x)

series1.1s

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* z y) (* t a))
280.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
689.0ms	(fma (- (* a c) (* i y)) j (fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x)))
84.0ms	(* (- (* z y) (* t a)) x)

simplify2.6s

Counts

74 → 74

Iterations

Iter	Nodes
done	5002
3	2636
2	701
1	252
0	114

prune802.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* z y) (* t a))
3.7b	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
5.2b	(* (- (* a c) (* i y)) j)
5.4b	(* (- (* z y) (* t a)) x)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

15.0ms	(- (* z y) (* t a))
0.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
42.0ms	(* (- (* a c) (* i y)) j)
52.0ms	(* (- (* z y) (* t a)) x)

series440.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- (* z y) (* t a))
233.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
76.0ms	(* (- (* a c) (* i y)) j)
89.0ms	(* (- (* z y) (* t a)) x)

simplify2.1s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
3	4159
2	1068
1	342
0	141

prune843.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.1b

localize91.0ms

Local error

Found 4 expressions with local error:

1.3b	(* (* (- (* a c) (* i y)) (* (cbrt j) (cbrt j))) (cbrt j))
3.7b	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
4.2b	(* (- (* a c) (* i y)) (* (cbrt j) (cbrt j)))
5.4b	(* (- (* z y) (* t a)) x)

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-exp-log`
13×	`add-cbrt-cube`
12×	`add-sqr-sqrt`
10×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-*l/`
7×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `flip3--` `*-commutative` `flip--`
2×	`unswap-sqr`
1×	`fma-udef`

Counts

4 → 87

Calls

4 calls:

119.0ms	(* (* (- (* a c) (* i y)) (* (cbrt j) (cbrt j))) (cbrt j))
0.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
55.0ms	(* (- (* a c) (* i y)) (* (cbrt j) (cbrt j)))
53.0ms	(* (- (* z y) (* t a)) x)

series826.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (* (- (* a c) (* i y)) (* (cbrt j) (cbrt j))) (cbrt j))
299.0ms	(fma (- (* i t) (* z c)) b (* (- (* z y) (* t a)) x))
277.0ms	(* (- (* a c) (* i y)) (* (cbrt j) (cbrt j)))
90.0ms	(* (- (* z y) (* t a)) x)

simplify1.6s

Counts

99 → 99

Iterations

Iter	Nodes
done	5003
2	1512
1	462
0	174

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 3.8b

localize63.0ms

Local error

Found 4 expressions with local error:

5.4b	(* (- (* z y) (* t a)) x)
7.0b	(cbrt (- (* a c) (* i y)))
7.0b	(cbrt (- (* a c) (* i y)))
7.0b	(cbrt (- (* a c) (* i y)))

rewrite61.0ms

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

Counts

4 → 71

Calls

4 calls:

42.0ms	(* (- (* z y) (* t a)) x)
6.0ms	(cbrt (- (* a c) (* i y)))
6.0ms	(cbrt (- (* a c) (* i y)))
6.0ms	(cbrt (- (* a c) (* i y)))

series566.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (- (* z y) (* t a)) x)
172.0ms	(cbrt (- (* a c) (* i y)))
160.0ms	(cbrt (- (* a c) (* i y)))
139.0ms	(cbrt (- (* a c) (* i y)))

simplify2.6s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
3	3334
2	945
1	316
0	122

prune837.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 3.8b

regimes1.8s

Accuracy

13.4% (6.5b remaining)

Error of 10.6b against oracle of 4.0b and baseline of 11.6b

bsearch180.0ms

Steps

Iters	Range		Point
8	1.4369199905592724e+119	6.014228558477037e+121	4.706358930159526e+119

simplify8.0ms

Iterations

Iter	Nodes
done	52
1	52
0	36

end0.0ms

sample4.4s

Algorithm

intervals

Results

3.4s

19106×

body

valid