Details

sample38.0ms

Algorithm

intervals

Results

15.0ms	288×	body	80	valid
0.0ms	1×	body	320	valid

simplify610.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.0b	(* y (/ (- z t) (- a t)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`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×	`flip3--` `associate-l` `flip--`
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 → 113

Calls

3 calls:

10.0ms	(+ x (* y (/ (- z t) (- a t))))
34.0ms	(/ (- z t) (- a t))
72.0ms	(* y (/ (- z t) (- a t)))

series297.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(+ x (* y (/ (- z t) (- a t))))
73.0ms	(/ (- z t) (- a t))
94.0ms	(* y (/ (- z t) (- a t)))

simplify646.0ms

Counts: 122 → 122

prune284.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
2.0b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`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×	`rec-exp` `1-exp`
3×	`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 → 338

Calls

4 calls:

6.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
23.0ms	(/ (- a t) (- z t))
29.0ms	(/ 1 (/ (- a t) (- z t)))
83.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series587.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
68.0ms	(/ (- a t) (- z t))
217.0ms	(/ 1 (/ (- a t) (- z t)))
169.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify1.8s

Counts: 350 → 350

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
0.0b	(/ (- a t) (- z t))
1.9b	(/ y (/ (- a t) (- z t)))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`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`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

155.0ms	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
40.0ms	(/ (- a t) (- z t))
26.0ms	(/ y (/ (- a t) (- z t)))

series464.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(+ x (pow (/ y (/ (- a t) (- z t))) 1))
66.0ms	(/ (- a t) (- z t))
234.0ms	(/ y (/ (- a t) (- z t)))

simplify1.1s

Counts: 215 → 215

prune808.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (* 1 (/ (- z t) (- a t)))))
0.0b	(/ (- z t) (- a t))
2.0b	(* y (* 1 (/ (- z t) (- a t))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
19×	`add-exp-log`
16×	`add-cube-cbrt`
14×	`add-cbrt-cube`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`prod-exp`
8×	`pow1`
5×	`associate-/r` `cbrt-unprod` `associate-/l` `add-log-exp`
3×	`div-exp` `associate-l` `pow-prod-down`
2×	`cbrt-undiv` `flip3--` `1-exp` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r` `clear-num` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

3 → 86

Calls

3 calls:

14.0ms	(+ x (* y (* 1 (/ (- z t) (- a t)))))
39.0ms	(/ (- z t) (- a t))
89.0ms	(* y (* 1 (/ (- z t) (- a t))))

series312.0ms

Counts

3 → 9

Calls

3 calls:

138.0ms	(+ x (* y (* 1 (/ (- z t) (- a t)))))
73.0ms	(/ (- z t) (- a t))
101.0ms	(* y (* 1 (/ (- z t) (- a t))))

simplify575.0ms

Counts: 95 → 95

prune306.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes161.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch107.0ms

Steps

Iters	Range		Point
7	2.9865465047697593e-182	3.0119379032165897e-180	9.032302851762362e-182
8	-1.894239203278646e-33	-4.391212853149039e-38	-1.4275099853550002e-37

simplify671.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

900.0ms	8717×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid