Details

sample89.0ms

Algorithm

intervals

Results

39.0ms

628×

body

valid

simplify116.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	47	14
1	110	13
2	335	13
3	1059	13
4	3442	13
5	5001	13
done	5001	13

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(- (* c z) (* t i))
3.9b	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
4.2b	(* x (- (* y z) (* t a)))
6.1b	(* b (- (* c z) (* t i)))

rewrite67.0ms

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:

8.0ms	(- (* c z) (* t i))
0.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
27.0ms	(* x (- (* y z) (* t a)))
29.0ms	(* b (- (* c z) (* t i)))

series810.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(- (* c z) (* t i))
607.0ms	(fma (- (* c a) (* y i)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))))
77.0ms	(* x (- (* y z) (* t a)))
77.0ms	(* b (- (* c z) (* t i)))

simplify53.0ms

Counts

94 → 94

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	376	645
1	1499	568
2	5001	568
done	5001	568

prune459.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.1b

localize26.0ms

Local error

Found 4 expressions with local error:

3.9b	(fma (- (* c a) (* y i)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* t i)))))
4.2b	(* x (fma y z (- (* a t))))
6.1b	(* b (- (* c z) (* t i)))
50.8b	(fma (- a) t (* a t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

0.0ms	(fma (- (* c a) (* y i)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* t i)))))
7.0ms	(* x (fma y z (- (* a t))))
26.0ms	(* b (- (* c z) (* t i)))
0.0ms	(fma (- a) t (* a t))

series3.7s

Counts

4 → 12

Calls

4 calls:

3.5s	(fma (- (* c a) (* y i)) j (- (+ (* x (fma y z (- (* a t)))) (* x (fma (- a) t (* a t)))) (* b (- (* c z) (* t i)))))
82.0ms	(* x (fma y z (- (* a t))))
73.0ms	(* b (- (* c z) (* t i)))
32.0ms	(fma (- a) t (* a t))

simplify52.0ms

Counts

82 → 82

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	310	624
1	1230	538
2	5001	538
done	5001	538

prune465.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.1b

localize37.0ms

Local error

Found 4 expressions with local error:

5.4b	(cbrt (fma y z (- (* a t))))
5.4b	(cbrt (fma y z (- (* a t))))
6.1b	(* b (- (* c z) (* t i)))
50.8b	(fma (- a) t (* a t))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt (fma y z (- (* a t))))
1.0ms	(cbrt (fma y z (- (* a t))))
27.0ms	(* b (- (* c z) (* t i)))
0.0ms	(fma (- a) t (* a t))

series412.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt (fma y z (- (* a t))))
150.0ms	(cbrt (fma y z (- (* a t))))
73.0ms	(* b (- (* c z) (* t i)))
37.0ms	(fma (- a) t (* a t))

simplify114.0ms

Counts

76 → 76

Iterations

Useful iterations: 3 (107.0ms)

Iter	Nodes	Cost
0	292	482
1	961	436
2	3592	424
3	5002	412
done	5002	412

prune512.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.1b

localize29.0ms

Local error

Found 4 expressions with local error:

4.2b	(* x (- (* y z) (* t a)))
6.1b	(* b (- (* c z) (* t i)))
6.1b	(* b (- (* c z) (* t i)))
6.1b	(* b (- (* c z) (* t i)))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 112

Calls

4 calls:

29.0ms	(* x (- (* y z) (* t a)))
27.0ms	(* b (- (* c z) (* t i)))
31.0ms	(* b (- (* c z) (* t i)))
28.0ms	(* b (- (* c z) (* t i)))

series312.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* x (- (* y z) (* t a)))
80.0ms	(* b (- (* c z) (* t i)))
72.0ms	(* b (- (* c z) (* t i)))
80.0ms	(* b (- (* c z) (* t i)))

simplify53.0ms

Counts

124 → 124

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	306	736
1	1264	652
2	5002	652
done	5002	652

prune625.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.1b

regimes788.0ms

Accuracy

0% (7.5b remaining)

Error of 12.7b against oracle of 5.2b and baseline of 12.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	29
1	44	29
2	44	29
done	44	29

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.1s

19044×

body

valid