Details

sample80.0ms

Algorithm

intervals

Results

33.0ms

573×

body

valid

simplify2.1s

Counts

1 → 1

Iterations

Useful iterations: 4 (189.0ms)

Iter	Nodes	Cost
0	23	29
1	47	29
2	110	28
3	333	28
4	907	27
5	2817	27
done	5000	27

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c a) (* y i))
3.4b	(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
5.4b	(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
6.0b	(* j (- (* c a) (* y i)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

9.0ms	(- (* c a) (* y i))
0.0ms	(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
0.0ms	(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
28.0ms	(* j (- (* c a) (* y i)))

series1.0s

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* c a) (* y i))
629.0ms	(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
249.0ms	(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
82.0ms	(* j (- (* c a) (* y i)))

simplify1.2s

Counts

76 → 76

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	119	1239
1	263	1222
2	707	1071
3	2458	1071
done	5001	1056

prune403.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c a) (* y i))
4.5b	(* x (- (* y z) (* t a)))
5.4b	(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
6.0b	(* j (- (* c a) (* y i)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

9.0ms	(- (* c a) (* y i))
31.0ms	(* x (- (* y z) (* t a)))
0.0ms	(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
28.0ms	(* j (- (* c a) (* y i)))

series453.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* c a) (* y i))
82.0ms	(* x (- (* y z) (* t a)))
246.0ms	(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
77.0ms	(* j (- (* c a) (* y i)))

simplify1.7s

Counts

94 → 94

Iterations

Useful iterations: 2 (156.0ms)

Iter	Nodes	Cost
0	160	1244
1	374	1226
2	1060	1088
3	3788	1088
done	5000	1088

prune467.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.3b

localize25.0ms

Local error

Found 4 expressions with local error:

3.4b	(* a (* j c))
4.5b	(* x (- (* y z) (* t a)))
5.3b	(* (- (* y i)) j)
5.4b	(fma b (- (* t i) (* c z)) (+ (* a (* j c)) (* (- (* y i)) j)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
12×	`associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `*-commutative`
2×	`sub-neg` `associate-*r/` `prod-diff` `unswap-sqr`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `flip3--` `distribute-rgt-neg-in` `flip--` `fma-udef`

Counts

4 → 82

Calls

4 calls:

20.0ms	(* a (* j c))
27.0ms	(* x (- (* y z) (* t a)))
12.0ms	(* (- (* y i)) j)
0.0ms	(fma b (- (* t i) (* c z)) (+ (* a (* j c)) (* (- (* y i)) j)))

series402.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* a (* j c))
84.0ms	(* x (- (* y z) (* t a)))
33.0ms	(* (- (* y i)) j)
255.0ms	(fma b (- (* t i) (* c z)) (+ (* a (* j c)) (* (- (* y i)) j)))

simplify1.1s

Counts

94 → 94

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	162	1064
1	381	1035
2	1330	900
done	5000	880

prune484.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.3b

localize26.0ms

Local error

Found 4 expressions with local error:

4.6b	(* x (* z y))
5.3b	(* (- (* y i)) j)
5.4b	(fma b (- (* t i) (* c z)) (+ (* a (* j c)) (* (- (* y i)) j)))
5.5b	(* a (* x t))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`associate-l`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `fma-udef` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

16.0ms	(* x (* z y))
15.0ms	(* (- (* y i)) j)
0.0ms	(fma b (- (* t i) (* c z)) (+ (* a (* j c)) (* (- (* y i)) j)))
17.0ms	(* a (* x t))

series353.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* x (* z y))
38.0ms	(* (- (* y i)) j)
256.0ms	(fma b (- (* t i) (* c z)) (+ (* a (* j c)) (* (- (* y i)) j)))
29.0ms	(* a (* x t))

simplify1.3s

Counts

86 → 86

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	140	841
1	321	812
2	1212	694
done	5000	670

prune401.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.5b

regimes1.1s

Accuracy

8.9% (9.4b remaining)

Error of 11.8b against oracle of 2.4b and baseline of 12.7b

bsearch216.0ms

Steps

Iters	Range		Point
9	1.2880111914389967e-220	3.7125480159748894e-211	1.6274048386487055e-212
8	-1.5664958714059882e-114	-3.442763955082449e-118	-3.3822588060010563e-116

simplify20.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	52	101
1	92	101
2	109	101
3	110	101
done	110	101

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s

18859×

body

valid