Details

sample42.0ms

Algorithm

intervals

Results

14.0ms

282×

body

valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	3547
10	1241
9	709
8	446
7	358
6	299
5	180
4	105
3	60
2	37
1	21
0	10

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- z a))
0.0b	(+ x (* y (/ (- z t) (- z a))))
1.6b	(* y (/ (- z t) (- z a)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `fma-def` `flip3--` `associate-l` `log1p-expm1-u` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

23.0ms	(/ (- z t) (- z a))
9.0ms	(+ x (* y (/ (- z t) (- z a))))
55.0ms	(* y (/ (- z t) (- z a)))

series290.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ (- z t) (- z a))
126.0ms	(+ x (* y (/ (- z t) (- z a))))
101.0ms	(* y (/ (- z t) (- z a)))

simplify1.1s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	1821
1	460
0	168

prune935.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.5b	(/ 1 (/ (- z a) (- z t)))
1.6b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
337×	`add-sqr-sqrt`
325×	`*-un-lft-identity`
159×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*` `add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`fma-def` `associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 349

Calls

4 calls:

5.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
19.0ms	(/ (- z a) (- z t))
37.0ms	(/ 1 (/ (- z a) (- z t)))
89.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series575.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
92.0ms	(/ (- z a) (- z t))
167.0ms	(/ 1 (/ (- z a) (- z t)))
183.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify706.0ms

Counts

361 → 361

Iterations

Iter	Nodes
done	5000
1	1117
0	380

prune1.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ (/ 1 (- z a)) (/ 1 (- z t)))))
0.0b	(/ 1 (- z a))
0.2b	(/ (/ 1 (- z a)) (/ 1 (- z t)))
1.6b	(* y (/ (/ 1 (- z a)) (/ 1 (- z t))))

rewrite471.0ms

Algorithm

rewrite-expression-head

Rules

2208×	`times-frac`
1350×	`add-sqr-sqrt`
1321×	`*-un-lft-identity`
791×	`add-cube-cbrt`
446×	`associate-r`
262×	`distribute-lft-out--` `difference-of-squares`
176×	`associate-/r/`
106×	`add-exp-log`
89×	`div-inv`
87×	`flip3--` `flip--`
66×	`div-exp`
36×	`add-cbrt-cube`
26×	`associate-/r*`
24×	`associate-/l*`
17×	`cbrt-undiv` `rec-exp` `1-exp` `prod-exp`
10×	`unswap-sqr`
7×	`pow1`
6×	`add-log-exp`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-l`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `sum-log` `flip3-+` `pow-prod-down` `associate-r/` `-commutative` `flip-+` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 1069

Calls

4 calls:

14.0ms	(+ x (* y (/ (/ 1 (- z a)) (/ 1 (- z t)))))
19.0ms	(/ 1 (- z a))
67.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
212.0ms	(* y (/ (/ 1 (- z a)) (/ 1 (- z t))))

series533.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(+ x (* y (/ (/ 1 (- z a)) (/ 1 (- z t)))))
43.0ms	(/ 1 (- z a))
147.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
206.0ms	(* y (/ (/ 1 (- z a)) (/ 1 (- z t))))

simplify3.1s

Counts

1081 → 1081

Iterations

Iter	Nodes
done	5001
1	4025
0	1092

prune4.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

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

series743.0ms

Counts

4 → 12

Calls

4 calls:

390.0ms	(cbrt (fma y (/ (- z t) (- z a)) x))
135.0ms	(fma y (/ (- z t) (- z a)) x)
98.0ms	(fma y (/ (- z t) (- z a)) x)
119.0ms	(fma y (/ (- z t) (- z a)) x)

simplify1.8s

Counts

55 → 55

Iterations

Iter	Nodes
done	5000
4	2470
3	456
2	168
1	87
0	47

prune486.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes1.2s

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample1.2s

Algorithm

intervals

Results

536.0ms

8782×

body

valid