Details

sample56.0ms

Algorithm

intervals

Results

19.0ms

281×

body

valid

simplify3.3s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.5b	(fma (/ (- z t) (- a t)) y x)

rewrite31.0ms

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:

26.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) y x)

series227.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(/ (- z t) (- a t))
131.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.7s

Counts

70 → 70

Iterations

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

prune383.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.5b	(/ 1 (/ (- a t) (- z t)))
1.5b	(fma (/ 1 (/ (- a t) (- z t))) y x)

rewrite54.0ms

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:

19.0ms	(/ (- a t) (- z t))
25.0ms	(/ 1 (/ (- a t) (- z t)))
0.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

series552.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (- a t) (- z t))
209.0ms	(/ 1 (/ (- a t) (- z t)))
286.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify1.8s

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
2	4066
1	703
0	270

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.0b	(/ 1 (- z t))
0.2b	(/ (/ 1 (- a t)) (/ 1 (- z t)))
1.5b	(fma (/ (/ 1 (- a t)) (/ 1 (- z t))) y x)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
52×	`add-exp-log`
47×	`div-inv`
46×	`flip3--` `flip--`
36×	`div-exp`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`pow-flip` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 613

Calls

4 calls:

10.0ms	(/ 1 (- a t))
10.0ms	(/ 1 (- z t))
41.0ms	(/ (/ 1 (- a t)) (/ 1 (- z t)))
0.0ms	(fma (/ (/ 1 (- a t)) (/ 1 (- z t))) y x)

series574.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ 1 (- a t))
63.0ms	(/ 1 (- z t))
166.0ms	(/ (/ 1 (- a t)) (/ 1 (- z t)))
273.0ms	(fma (/ (/ 1 (- a t)) (/ 1 (- z t))) y x)

simplify1.8s

Counts

625 → 625

Iterations

Iter	Nodes
done	5002
1	2554
0	747

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

localize69.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (* (/ (sqrt 1) (* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t))))) (/ (sqrt 1) (cbrt (/ (- a t) (- z t))))) y x)
3.7b	(cbrt (/ (- a t) (- z t)))
3.7b	(cbrt (/ (- a t) (- z t)))
3.7b	(cbrt (/ (- a t) (- z t)))

rewrite38.0ms

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 (* (/ (sqrt 1) (* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t))))) (/ (sqrt 1) (cbrt (/ (- a t) (- z t))))) y x)
7.0ms	(cbrt (/ (- a t) (- z t)))
11.0ms	(cbrt (/ (- a t) (- z t)))
14.0ms	(cbrt (/ (- a t) (- z t)))

series1.5s

Counts

4 → 12

Calls

4 calls:

243.0ms	(fma (* (/ (sqrt 1) (* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t))))) (/ (sqrt 1) (cbrt (/ (- a t) (- z t))))) y x)
406.0ms	(cbrt (/ (- a t) (- z t)))
415.0ms	(cbrt (/ (- a t) (- z t)))
430.0ms	(cbrt (/ (- a t) (- z t)))

simplify1.6s

Counts

148 → 148

Iterations

Iter	Nodes
done	5001
3	2951
2	768
1	340
0	179

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes588.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.2b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

482.0ms	8720×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid