Details

sample36.0ms

Algorithm

intervals

Results

21.0ms

277×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4813
20	4487
19	4229
18	3906
17	3648
16	3322
15	3006
14	2545
13	1903
12	1348
11	863
10	583
9	411
8	337
7	254
6	203
5	147
4	96
3	53
2	31
1	18
0	10

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.2b	(fma (- z t) (/ y (- z a)) x)

rewrite10.0ms

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/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `fma-udef` `div-inv` `flip--`

Counts

2 → 51

Calls

2 calls:

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

series128.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ y (- z a))
87.0ms	(fma (- z t) (/ y (- z a)) x)

simplify1.5s

Counts

57 → 57

Iterations

Iter	Nodes
done	5001
3	1405
2	462
1	179
0	94

prune397.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (/ (- z a) y))
3.2b	(fma (- z t) (/ 1 (/ (- z a) y)) x)

rewrite18.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `associate-/r/` `fma-udef` `pow-flip` `inv-pow`

Counts

2 → 114

Calls

2 calls:

15.0ms	(/ 1 (/ (- z a) y))
0.0ms	(fma (- z t) (/ 1 (/ (- z a) y)) x)

series257.0ms

Counts

2 → 6

Calls

2 calls:

111.0ms	(/ 1 (/ (- z a) y))
146.0ms	(fma (- z t) (/ 1 (/ (- z a) y)) x)

simplify2.3s

Counts

120 → 120

Iterations

Iter	Nodes
done	5026
3	3103
2	1158
1	455
0	190

prune427.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.8b	(* (/ (- z t) (- z a)) y)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `-commutative`

Counts

2 → 108

Calls

2 calls:

35.0ms	(/ (- z t) (- z a))
65.0ms	(* (/ (- z t) (- z a)) y)

series254.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(/ (- z t) (- z a))
173.0ms	(* (/ (- z t) (- z a)) y)

simplify2.9s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
3	4137
2	1087
1	385
0	149

prune624.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

3.2b	(fma (- z t) (* (* (/ 1 (cbrt (/ (- z a) y))) (/ 1 (cbrt (/ (- z a) y)))) (/ 1 (cbrt (/ (- z a) y)))) x)
13.2b	(cbrt (/ (- z a) y))
13.2b	(cbrt (/ (- z a) y))
13.2b	(cbrt (/ (- z a) y))

rewrite21.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`fma-udef`

Counts

4 → 104

Calls

4 calls:

0.0ms	(fma (- z t) (* (* (/ 1 (cbrt (/ (- z a) y))) (/ 1 (cbrt (/ (- z a) y)))) (/ 1 (cbrt (/ (- z a) y)))) x)
3.0ms	(cbrt (/ (- z a) y))
4.0ms	(cbrt (/ (- z a) y))
11.0ms	(cbrt (/ (- z a) y))

series832.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(fma (- z t) (* (* (/ 1 (cbrt (/ (- z a) y))) (/ 1 (cbrt (/ (- z a) y)))) (/ 1 (cbrt (/ (- z a) y)))) x)
203.0ms	(cbrt (/ (- z a) y))
212.0ms	(cbrt (/ (- z a) y))
241.0ms	(cbrt (/ (- z a) y))

simplify1.8s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
3	1420
2	540
1	268
0	144

prune915.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes486.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.5s

Algorithm

intervals

Results

781.0ms

8719×

body

valid