Details

sample30.0ms

Algorithm

intervals

Results

12.0ms

274×

body

valid

simplify7.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	2492
8	1293
7	674
6	329
5	179
4	106
3	63
2	35
1	17
0	10

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
3.4b	(fma (- y z) (/ t (- a z)) x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series188.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(/ t (- a z))
128.0ms	(fma (- y z) (/ t (- a z)) x)

simplify888.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
3	1511
2	446
1	176
0	92

prune383.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) t)
0.4b	(/ 1 (/ (- a z) t))
3.4b	(fma (- y z) (/ 1 (/ (- a z) t)) x)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
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×	`flip3--` `div-sub` `associate-/r/` `fma-udef` `pow-flip` `flip--` `inv-pow`

Counts

3 → 152

Calls

3 calls:

15.0ms	(/ (- a z) t)
22.0ms	(/ 1 (/ (- a z) t))
1.0ms	(fma (- y z) (/ 1 (/ (- a z) t)) x)

series295.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- a z) t)
107.0ms	(/ 1 (/ (- a z) t))
137.0ms	(fma (- y z) (/ 1 (/ (- a z) t)) x)

simplify1.5s

Counts

161 → 161

Iterations

Iter	Nodes
done	5000
2	2383
1	523
0	210

prune793.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

3.4b	(fma (- y z) (/ (/ 1 (* (cbrt (/ (- a z) t)) (cbrt (/ (- a z) t)))) (cbrt (/ (- a z) t))) x)
13.6b	(cbrt (/ (- a z) t))
13.6b	(cbrt (/ (- a z) t))
13.6b	(cbrt (/ (- a z) t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`fma-udef`

Counts

4 → 100

Calls

4 calls:

1.0ms	(fma (- y z) (/ (/ 1 (* (cbrt (/ (- a z) t)) (cbrt (/ (- a z) t)))) (cbrt (/ (- a z) t))) x)
9.0ms	(cbrt (/ (- a z) t))
10.0ms	(cbrt (/ (- a z) t))
10.0ms	(cbrt (/ (- a z) t))

series880.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(fma (- y z) (/ (/ 1 (* (cbrt (/ (- a z) t)) (cbrt (/ (- a z) t)))) (cbrt (/ (- a z) t))) x)
229.0ms	(cbrt (/ (- a z) t))
225.0ms	(cbrt (/ (- a z) t))
257.0ms	(cbrt (/ (- a z) t))

simplify1.0s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
3	1839
2	550
1	257
0	141

prune957.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- y z) (/ (- a z) t)) x)
0.0b	(/ (- a z) t)
10.2b	(/ (- y z) (/ (- a z) t))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

370×	`times-frac`
306×	`*-un-lft-identity`
304×	`add-sqr-sqrt`
152×	`add-cube-cbrt`
100×	`fma-def`
76×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
14×	`div-inv`
10×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`expm1-log1p-u` `pow1` `div-sub` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `associate-/r/` `flip--`
1×	`+-commutative` `sum-log` `flip3-+` `associate-+l-` `flip-+` `distribute-lft-out`

Counts

3 → 294

Calls

3 calls:

181.0ms	(+ (/ (- y z) (/ (- a z) t)) x)
16.0ms	(/ (- a z) t)
34.0ms	(/ (- y z) (/ (- a z) t))

series355.0ms

Counts

3 → 9

Calls

3 calls:

127.0ms	(+ (/ (- y z) (/ (- a z) t)) x)
58.0ms	(/ (- a z) t)
168.0ms	(/ (- y z) (/ (- a z) t))

simplify1.4s

Counts

303 → 303

Iterations

Iter	Nodes
done	5002
2	4184
1	875
0	279

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes550.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	15
2	15
1	14
0	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

552.0ms	8731×	body	80	valid
0.0ms	1×	body	320	valid