Details

sample47.0ms

Algorithm

intervals

Results

18.0ms

276×

body

valid

simplify5.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	10	11
1	20	11
2	36	10
3	59	10
4	104	10
5	178	10
6	302	10
7	359	10
8	446	10
9	710	10
10	1270	10
11	3597	10
done	5000	10

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite169.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

14.0ms	(+ x (* y (/ (- z t) (- a t))))
49.0ms	(/ (- z t) (- a t))
96.0ms	(* y (/ (- z t) (- a t)))

series389.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(+ x (* y (/ (- z t) (- a t))))
91.0ms	(/ (- z t) (- a t))
130.0ms	(* y (/ (- z t) (- a t)))

simplify1.7s

Counts

131 → 131

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	168	1615
1	458	1524
2	1827	1420
done	5001	1414

prune977.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
1.6b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite317.0ms

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×	`add-exp-log` `associate-/r*`
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×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 349

Calls

4 calls:

13.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
47.0ms	(/ (- a t) (- z t))
55.0ms	(/ 1 (/ (- a t) (- z t)))
156.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series896.0ms

Counts

4 → 12

Calls

4 calls:

243.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
88.0ms	(/ (- a t) (- z t))
260.0ms	(/ 1 (/ (- a t) (- z t)))
306.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify1.1s

Counts

361 → 361

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	381	5804
1	1113	4873
done	5001	4515

prune2.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
198×	`*-un-lft-identity`
196×	`add-sqr-sqrt`
92×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 215

Calls

3 calls:

253.0ms	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
48.0ms	(/ (- a t) (- z t))
65.0ms	(/ y (/ (- a t) (- z t)))

series629.0ms

Counts

3 → 9

Calls

3 calls:

239.0ms	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
99.0ms	(/ (- a t) (- z t))
291.0ms	(/ y (/ (- a t) (- z t)))

simplify2.5s

Counts

224 → 224

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	301	3835
1	822	3571
2	4213	3413
done	5001	3411

prune2.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.3b	(/ 1 (/ (- z t) (- a t)))
0.3b	(/ 1 (/ 1 (/ (- z t) (- a t))))
1.6b	(* y (/ 1 (/ 1 (/ (- z t) (- a t)))))

rewrite659.0ms

Algorithm

rewrite-expression-head

Rules

2004×	`times-frac`
1305×	`add-sqr-sqrt`
1279×	`*-un-lft-identity`
746×	`add-cube-cbrt`
299×	`associate-r`
262×	`distribute-lft-out--` `difference-of-squares`
134×	`associate-/r*`
126×	`add-exp-log`
78×	`div-exp`
62×	`associate-/r/`
36×	`div-inv`
34×	`add-cbrt-cube`
28×	`rec-exp` `1-exp`
27×	`flip3--` `flip--`
22×	`prod-exp`
16×	`cbrt-undiv`
11×	`associate-/l*` `unswap-sqr`
9×	`pow1`
5×	`pow-flip`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `inv-pow`
2×	`associate-/l/`
1×	`div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `remove-double-div`

Counts

4 → 993

Calls

4 calls:

42.0ms	(/ (- z t) (- a t))
50.0ms	(/ 1 (/ (- z t) (- a t)))
100.0ms	(/ 1 (/ 1 (/ (- z t) (- a t))))
293.0ms	(* y (/ 1 (/ 1 (/ (- z t) (- a t)))))

series507.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (- z t) (- a t))
216.0ms	(/ 1 (/ (- z t) (- a t)))
84.0ms	(/ 1 (/ 1 (/ (- z t) (- a t))))
123.0ms	(* y (/ 1 (/ 1 (/ (- z t) (- a t)))))

simplify3.4s

Counts

1005 → 1005

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	946	20646
1	2970	12816
done	5002	12470

prune4.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes638.0ms

Accuracy

0% (0.4b remaining)

Error of 1.2b against oracle of 0.8b and baseline of 1.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	12	13
1	15	11
done	15	11

end0.0ms

sample1.7s

Algorithm

intervals

Results

777.0ms

8755×

body

valid