Details

sample98.0ms

Algorithm

intervals

Results

53.0ms

384×

body

valid

simplify6.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
19	4838
18	4587
17	4346
16	4107
15	3856
14	3609
13	3369
12	3118
11	2867
10	2598
9	2252
8	1712
7	1089
6	729
5	456
4	266
3	137
2	69
1	33
0	17

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (/ t 16.0) z (- (fma y x c) (/ (* a b) 4.0)))
0.0b	(- (fma y x c) (/ (* a b) 4.0))
0.0b	(/ (* a b) 4.0)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `prod-diff`
19×	`add-cube-cbrt`
12×	`times-frac`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`div-inv`
3×	`expm1-log1p-u` `pow1` `associate-/r*` `fma-neg` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `fma-udef`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `prod-exp` `associate--l+` `cbrt-unprod` `flip--` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 74

Calls

3 calls:

0.0ms	(fma (/ t 16.0) z (- (fma y x c) (/ (* a b) 4.0)))
8.0ms	(- (fma y x c) (/ (* a b) 4.0))
8.0ms	(/ (* a b) 4.0)

series301.0ms

Counts

3 → 9

Calls

3 calls:

180.0ms	(fma (/ t 16.0) z (- (fma y x c) (/ (* a b) 4.0)))
89.0ms	(- (fma y x c) (/ (* a b) 4.0))
32.0ms	(/ (* a b) 4.0)

simplify1.3s

Counts

83 → 83

Iterations

Iter	Nodes
done	5001
2	1204
1	379
0	157

prune648.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(- c (* b (* a 0.25)))
0.0b	(fma (/ t 16.0) z (fma y x (- c (* b (* a 0.25)))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `fma-udef` `flip--`

Counts

2 → 30

Calls

2 calls:

8.0ms	(- c (* b (* a 0.25)))
1.0ms	(fma (/ t 16.0) z (fma y x (- c (* b (* a 0.25)))))

series276.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(- c (* b (* a 0.25)))
225.0ms	(fma (/ t 16.0) z (fma y x (- c (* b (* a 0.25)))))

simplify1.9s

Counts

36 → 36

Iterations

Iter	Nodes
done	5001
3	2132
2	495
1	157
0	70

prune338.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ t 16.0) z) (fma y x (- c (* b (* a 0.25)))))
0.0b	(- c (* b (* a 0.25)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
3×	`fma-neg` `prod-diff`
2×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `sum-log` `sub-neg` `fma-def` `flip3-+` `flip3--` `diff-log` `flip-+` `fma-udef` `flip--`

Counts

2 → 35

Calls

2 calls:

8.0ms	(+ (* (/ t 16.0) z) (fma y x (- c (* b (* a 0.25)))))
5.0ms	(- c (* b (* a 0.25)))

series271.0ms

Counts

2 → 6

Calls

2 calls:

207.0ms	(+ (* (/ t 16.0) z) (fma y x (- c (* b (* a 0.25)))))
64.0ms	(- c (* b (* a 0.25)))

simplify1.7s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
3	3634
2	800
1	224
0	85

prune292.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (fma y x c) (/ a (/ 4.0 b)))
0.0b	(fma (/ t 16.0) z (- (fma y x c) (/ a (/ 4.0 b))))
0.2b	(/ a (/ 4.0 b))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
204×	`add-sqr-sqrt`
197×	`*-un-lft-identity`
195×	`add-cube-cbrt`
132×	`prod-diff`
17×	`div-inv`
13×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `fma-neg` `div-exp` `log1p-expm1-u` `associate-/l*` `difference-of-squares`
2×	`fma-udef`
1×	`clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `associate--l+` `flip--` `distribute-lft-out--`

Counts

3 → 236

Calls

3 calls:

29.0ms	(- (fma y x c) (/ a (/ 4.0 b)))
0.0ms	(fma (/ t 16.0) z (- (fma y x c) (/ a (/ 4.0 b))))
7.0ms	(/ a (/ 4.0 b))

series282.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(- (fma y x c) (/ a (/ 4.0 b)))
176.0ms	(fma (/ t 16.0) z (- (fma y x c) (/ a (/ 4.0 b))))
22.0ms	(/ a (/ 4.0 b))

simplify1.0s

Counts

245 → 245

Iterations

Iter	Nodes
done	5000
1	1380
0	517

prune2.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes644.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	20
1	20
0	16

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.4s

11912×

body

valid