Details

sample50.0ms

Algorithm

intervals

Results

21.0ms

281×

body

valid

simplify5.4s

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

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.0b	(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:

19.0ms	(/ (- z t) (- a t))
0.0ms	(fma y (/ (- z t) (- a t)) x)

series197.0ms

Counts

2 → 6

Calls

2 calls:

72.0ms	(/ (- z t) (- a t))
125.0ms	(fma y (/ (- z t) (- a t)) x)

simplify2.5s

Counts

70 → 70

Iterations

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

prune527.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.4b	(/ 1 (/ (- a t) (- z t)))
1.0b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite67.0ms

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:

28.0ms	(/ (- a t) (- z t))
28.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series590.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(/ (- a t) (- z t))
226.0ms	(/ 1 (/ (- a t) (- z t)))
271.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify2.3s

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
2	4061
1	703
0	270

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.2b	(* (- a t) (/ 1 (- z t)))
0.4b	(/ 1 (* (- a t) (/ 1 (- z t))))
1.0b	(fma y (/ 1 (* (- a t) (/ 1 (- z t)))) x)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-exp-log`
49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
35×	`times-frac`
26×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube` `div-exp`
16×	`prod-exp`
10×	`pow1` `rec-exp` `1-exp` `associate-/r/`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `associate-/r` `flip3--` `flip--` `associate-/l`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `associate-*l/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `pow-flip` `unswap-sqr`
2×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/` `un-div-inv` `inv-pow`
1×	`*-commutative` `fma-udef`

Counts

4 → 151

Calls

4 calls:

11.0ms	(/ 1 (- z t))
42.0ms	(* (- a t) (/ 1 (- z t)))
48.0ms	(/ 1 (* (- a t) (/ 1 (- z t))))
0.0ms	(fma y (/ 1 (* (- a t) (/ 1 (- z t)))) x)

series640.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ 1 (- z t))
87.0ms	(* (- a t) (/ 1 (- z t)))
192.0ms	(/ 1 (* (- a t) (/ 1 (- z t))))
304.0ms	(fma y (/ 1 (* (- a t) (/ 1 (- z t)))) x)

simplify5.1s

Counts

163 → 163

Iterations

Iter	Nodes
done	5001
2	3718
1	487
0	193

prune965.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (- a t) (- z t)) (/ (- a t) (- z t)))
0.6b	(/ 1 (* (/ (- a t) (- z t)) (/ (- a t) (- z t))))
1.0b	(fma y (cbrt (/ (/ 1 (* (/ (- a t) (- z t)) (/ (- a t) (- z t)))) (/ (- a t) (- z t)))) x)
17.9b	(cbrt (/ (/ 1 (* (/ (- a t) (- z t)) (/ (- a t) (- z t)))) (/ (- a t) (- z t))))

rewrite349.0ms

Algorithm

rewrite-expression-head

Rules

808×	`times-frac`
611×	`*-un-lft-identity`
539×	`add-sqr-sqrt`
315×	`cbrt-prod`
231×	`add-cube-cbrt`
176×	`distribute-lft-out--`
148×	`difference-of-squares`
125×	`associate-/r/`
60×	`add-exp-log`
55×	`swap-sqr`
47×	`div-inv`
34×	`add-cbrt-cube`
33×	`frac-times` `associate-l/` `associate-r/`
31×	`associate-r` `associate-l`
26×	`div-exp`
19×	`pow1`
16×	`prod-exp`
14×	`flip3--` `flip--`
13×	`cbrt-undiv`
8×	`cbrt-unprod`
6×	`pow-flip`
5×	`rec-exp` `1-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`associate-/l*`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`cbrt-div` `clear-num` `associate-/r` `frac-2neg` `pow1/3` `-commutative` `fma-udef` `inv-pow`

Counts

4 → 532

Calls

4 calls:

86.0ms	(* (/ (- a t) (- z t)) (/ (- a t) (- z t)))
87.0ms	(/ 1 (* (/ (- a t) (- z t)) (/ (- a t) (- z t))))
1.0ms	(fma y (cbrt (/ (/ 1 (* (/ (- a t) (- z t)) (/ (- a t) (- z t)))) (/ (- a t) (- z t)))) x)
93.0ms	(cbrt (/ (/ 1 (* (/ (- a t) (- z t)) (/ (- a t) (- z t)))) (/ (- a t) (- z t))))

series1.4s

Counts

4 → 12

Calls

4 calls:

156.0ms	(* (/ (- a t) (- z t)) (/ (- a t) (- z t)))
771.0ms	(/ 1 (* (/ (- a t) (- z t)) (/ (- a t) (- z t))))
301.0ms	(fma y (cbrt (/ (/ 1 (* (/ (- a t) (- z t)) (/ (- a t) (- z t)))) (/ (- a t) (- z t)))) x)
206.0ms	(cbrt (/ (/ 1 (* (/ (- a t) (- z t)) (/ (- a t) (- z t)))) (/ (- a t) (- z t))))

simplify2.5s

Counts

544 → 544

Iterations

Iter	Nodes
done	5000
1	2717
0	987

prune3.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes603.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

755.0ms	8718×	body	80	valid
0.0ms	1×	body	1280	valid