Details

sample55.0ms

Algorithm

intervals

Results

22.0ms

281×

body

valid

simplify4.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	4206
9	1419
8	740
7	408
6	286
5	190
4	115
3	60
2	32
1	17
0	10

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

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:

20.0ms	(/ (- z t) (- a t))
0.0ms	(fma y (/ (- z t) (- a t)) x)

series188.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- z t) (- a t))
118.0ms	(fma y (/ (- z t) (- a t)) x)

simplify2.1s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	4356
2	831
1	264
0	113

prune460.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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 y (- (/ z (- a t)) (/ t (- a t))) x)

rewrite240.0ms

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))
148.0ms	(- (/ z (- a t)) (/ t (- a t)))
23.0ms	(/ t (- a t))
1.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

series416.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ z (- a t))
107.0ms	(- (/ z (- a t)) (/ t (- a t)))
75.0ms	(/ t (- a t))
201.0ms	(fma y (- (/ z (- a t)) (/ t (- a t))) x)

simplify1.7s

Counts

593 → 593

Iterations

Iter	Nodes
done	5000
2	3833
1	1278
0	570

prune3.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (- a t) (- z t)))
1.2b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 214

Calls

3 calls:

37.0ms	(/ (- a t) (- z t))
35.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series532.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (- a t) (- z t))
194.0ms	(/ 1 (/ (- a t) (- z t)))
264.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify1.6s

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
2	4061
1	703
0	270

prune827.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.2b	(fma y (/ 1 (* (* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t)))) (cbrt (/ (- a t) (- z t))))) x)
4.7b	(cbrt (/ (- a t) (- z t)))
4.7b	(cbrt (/ (- a t) (- z t)))
4.7b	(cbrt (/ (- a t) (- z t)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `div-inv` `flip--`
1×	`fma-udef`

Counts

4 → 136

Calls

4 calls:

0.0ms	(fma y (/ 1 (* (* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t)))) (cbrt (/ (- a t) (- z t))))) x)
9.0ms	(cbrt (/ (- a t) (- z t)))
12.0ms	(cbrt (/ (- a t) (- z t)))
12.0ms	(cbrt (/ (- a t) (- z t)))

series1.5s

Counts

4 → 12

Calls

4 calls:

279.0ms	(fma y (/ 1 (* (* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t)))) (cbrt (/ (- a t) (- z t))))) x)
373.0ms	(cbrt (/ (- a t) (- z t)))
388.0ms	(cbrt (/ (- a t) (- z t)))
416.0ms	(cbrt (/ (- a t) (- z t)))

simplify1.2s

Counts

148 → 148

Iterations

Iter	Nodes
done	5001
3	2486
2	724
1	333
0	176

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes603.0ms

Accuracy

4.4% (1.2b remaining)

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

bsearch154.0ms

Steps

Iters	Range		Point
9	3.9919818140670714e-104	1.7380027579657155e-95	5.3229241134025875e-104
10	-2.019891248970012e-169	-3.1869536573496447e-180	-1.1546844444676268e-171

simplify2.0ms

Iterations

Iter	Nodes
done	25
1	25
0	20

end0.0ms

sample1.5s

Algorithm

intervals

Results

584.0ms

8713×

body

valid