Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

276×

body

valid

simplify5.8s

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- a z))
3.1b	(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:

9.0ms	(/ t (- a z))
0.0ms	(fma (- y z) (/ t (- a z)) x)

series128.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ t (- a z))
94.0ms	(fma (- y z) (/ t (- a z)) x)

simplify1.1s

Counts

55 → 55

Iterations

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

prune378.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ 1 (/ (- a z) t))
3.1b	(fma (- y z) (/ 1 (/ (- a z) t)) x)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

117×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
58×	`add-cube-cbrt`
19×	`associate-/r*`
13×	`add-exp-log`
12×	`distribute-lft-out--` `difference-of-squares`
7×	`add-cbrt-cube` `div-exp`
5×	`div-inv`
3×	`pow1` `cbrt-undiv` `associate-/l*`
2×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `associate-/r/` `fma-udef` `pow-flip` `inv-pow`

Counts

2 → 112

Calls

2 calls:

17.0ms	(/ 1 (/ (- a z) t))
1.0ms	(fma (- y z) (/ 1 (/ (- a z) t)) x)

series200.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(/ 1 (/ (- a z) t))
94.0ms	(fma (- y z) (/ 1 (/ (- a z) t)) x)

simplify1.1s

Counts

118 → 118

Iterations

Iter	Nodes
done	5000
2	1862
1	463
0	188

prune498.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

3.1b	(fma (- y z) (/ (/ 1 (* (cbrt (/ (- a z) t)) (cbrt (/ (- a z) t)))) (cbrt (/ (- a z) t))) x)
17.2b	(cbrt (/ (- a z) t))
17.2b	(cbrt (/ (- a z) t))
17.2b	(cbrt (/ (- a z) t))

rewrite18.0ms

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:

0.0ms	(fma (- y z) (/ (/ 1 (* (cbrt (/ (- a z) t)) (cbrt (/ (- a z) t)))) (cbrt (/ (- a z) t))) x)
5.0ms	(cbrt (/ (- a z) t))
5.0ms	(cbrt (/ (- a z) t))
5.0ms	(cbrt (/ (- a z) t))

series780.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(fma (- y z) (/ (/ 1 (* (cbrt (/ (- a z) t)) (cbrt (/ (- a z) t)))) (cbrt (/ (- a z) t))) x)
198.0ms	(cbrt (/ (- a z) t))
220.0ms	(cbrt (/ (- a z) t))
205.0ms	(cbrt (/ (- a z) t))

simplify1.3s

Counts

112 → 112

Iterations

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

prune949.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (- y z) (/ (- a z) t)) x)
12.9b	(/ (- y z) (/ (- a z) t))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

355×	`times-frac`
287×	`*-un-lft-identity`
285×	`add-sqr-sqrt`
141×	`add-cube-cbrt`
100×	`fma-def`
72×	`distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
13×	`div-inv`
7×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/l*`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `div-sub` `associate-/r/` `log1p-expm1-u` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `flip3--` `associate-+l-` `flip-+` `flip--` `distribute-lft-out`

Counts

2 → 254

Calls

2 calls:

140.0ms	(+ (/ (- y z) (/ (- a z) t)) x)
32.0ms	(/ (- y z) (/ (- a z) t))

series374.0ms

Counts

2 → 6

Calls

2 calls:

195.0ms	(+ (/ (- y z) (/ (- a z) t)) x)
179.0ms	(/ (- y z) (/ (- a z) t))

simplify1.8s

Counts

260 → 260

Iterations

Iter	Nodes
done	5000
2	3701
1	815
0	258

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes317.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

499.0ms	8722×	body	80	valid
0.0ms	1×	body	640	valid