Details

sample31.0ms

Algorithm

intervals

Results

15.0ms

281×

body

valid

simplify3.0s

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

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:

32.0ms	(/ (- z t) (- a t))
1.0ms	(fma (/ (- z t) (- a t)) y x)

series157.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ (- z t) (- a t))
97.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.6s

Counts

70 → 70

Iterations

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

prune517.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite88.0ms

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))
41.0ms	(/ 1 (/ (- a t) (- z t)))
1.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

series583.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (- a t) (- z t))
195.0ms	(/ 1 (/ (- a t) (- z t)))
314.0ms	(fma (/ 1 (/ (- a t) (- z t))) y x)

simplify2.0s

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
2	4066
1	703
0	270

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.5b

localize40.0ms

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 (/ 1 (* (- a t) (/ 1 (- z t)))) y x)

rewrite151.0ms

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:

12.0ms	(/ 1 (- z t))
66.0ms	(* (- a t) (/ 1 (- z t)))
67.0ms	(/ 1 (* (- a t) (/ 1 (- z t))))
1.0ms	(fma (/ 1 (* (- a t) (/ 1 (- z t)))) y x)

series679.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ 1 (- z t))
91.0ms	(* (- a t) (/ 1 (- z t)))
220.0ms	(/ 1 (* (- a t) (/ 1 (- z t))))
293.0ms	(fma (/ 1 (* (- a t) (/ 1 (- z t)))) y x)

simplify5.7s

Counts

163 → 163

Iterations

Iter	Nodes
done	5000
2	3886
1	487
0	193

prune971.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
1.0ms	(fma (* (/ (/ 1 (/ (cbrt (- a t)) (cbrt (- z t)))) (/ (cbrt (- a t)) (cbrt (- z t)))) (/ 1 (/ (cbrt (- a t)) (cbrt (- z t))))) y x)

series1.1s

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (- z t))
234.0ms	(cbrt (- z t))
245.0ms	(cbrt (- z t))
371.0ms	(fma (* (/ (/ 1 (/ (cbrt (- a t)) (cbrt (- z t)))) (/ (cbrt (- a t)) (cbrt (- z t)))) (/ 1 (/ (cbrt (- a t)) (cbrt (- z t))))) y x)

simplify2.2s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	2479
2	528
1	198
0	96

prune750.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes764.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

454.0ms	8718×	body	80	valid
0.0ms	1×	body	1280	valid