Details

sample44.0ms

Algorithm

intervals

Results

17.0ms

281×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	3462
10	1180
9	657
8	399
7	313
6	270
5	179
4	104
3	59
2	36
1	20
0	10

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.2b	(fma (/ (- z t) (- a t)) y x)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

38.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) y x)

series215.0ms

Counts

2 → 6

Calls

2 calls:

89.0ms	(/ (- z t) (- a t))
125.0ms	(fma (/ (- z t) (- a t)) y x)

simplify1.9s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4648
2	833
1	264
0	113

prune463.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.8b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a t))
0.0b	(- (/ z (- a t)) (/ t (- a t)))
0.0b	(/ t (- a t))
1.2b	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

rewrite223.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

10.0ms	(/ z (- a t))
147.0ms	(- (/ z (- a t)) (/ t (- a t)))
16.0ms	(/ t (- a t))
1.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

series516.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ z (- a t))
121.0ms	(- (/ z (- a t)) (/ t (- a t)))
76.0ms	(/ t (- a t))
273.0ms	(fma (- (/ z (- a t)) (/ t (- a t))) y x)

simplify1.7s

Counts

593 → 593

Iterations

Iter	Nodes
done	5000
2	3831
1	1278
0	570

prune3.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.0b	(/ t (- a t))
0.1b	(fma z (/ 1 (- a t)) (- (/ t (- a t))))
1.2b	(fma (fma z (/ 1 (- a t)) (- (/ t (- a t)))) y x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
24×	`add-cube-cbrt`
10×	`associate-/r*` `add-exp-log`
8×	`add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/l*`
5×	`pow1`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`div-exp`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `fma-udef` `div-inv` `flip--`
1×	`rec-exp` `1-exp` `pow-flip` `inv-pow`

Counts

4 → 102

Calls

4 calls:

9.0ms	(/ 1 (- a t))
9.0ms	(/ t (- a t))
0.0ms	(fma z (/ 1 (- a t)) (- (/ t (- a t))))
0.0ms	(fma (fma z (/ 1 (- a t)) (- (/ t (- a t)))) y x)

series498.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(/ 1 (- a t))
69.0ms	(/ t (- a t))
97.0ms	(fma z (/ 1 (- a t)) (- (/ t (- a t))))
286.0ms	(fma (fma z (/ 1 (- a t)) (- (/ t (- a t)))) y x)

simplify497.0ms

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	940
1	269
0	144

prune607.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
3.3b	(/ y (/ (- a t) (- z t)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

24.0ms	(/ (- a t) (- z t))
26.0ms	(/ y (/ (- a t) (- z t)))

series257.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (- a t) (- z t))
191.0ms	(/ y (/ (- a t) (- z t)))

simplify1.3s

Counts

204 → 204

Iterations

Iter	Nodes
done	5001
2	3851
1	743
0	274

prune974.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes362.0ms

Accuracy

7.3% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.3b

bsearch94.0ms

Steps

Iters	Range		Point
9	3.9919818140670714e-104	1.7380027579657155e-95	4.0702725375573956e-104
7	-1.2554389614223213e-180	-1.2483848744467328e-182	-4.142790662965349e-181

simplify3.0ms

Iterations

Iter	Nodes
done	31
1	31
0	25

end0.0ms

sample1.6s

Algorithm

intervals

Results

587.0ms

8713×

body

valid