Details

sample38.0ms

Algorithm

intervals

Results

19.0ms

277×

body

valid

simplify708.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- z a)))
0.0b	(* y (- z t))
6.7b	(/ (* y (- z t)) (- z a))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-/r*` `add-log-exp`
4×	`associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 67

Calls

3 calls:

26.0ms	(+ x (/ (* y (- z t)) (- z a)))
22.0ms	(* y (- z t))
23.0ms	(/ (* y (- z t)) (- z a))

series254.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ x (/ (* y (- z t)) (- z a)))
63.0ms	(* y (- z t))
100.0ms	(/ (* y (- z t)) (- z a))

simplify561.0ms

Counts: 76 → 76

prune250.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- z a) (- z t))))
0.0b	(/ (- z a) (- z t))
3.8b	(/ y (/ (- z a) (- z t)))

rewrite200.0ms

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:

98.0ms	(+ x (/ y (/ (- z a) (- z t))))
33.0ms	(/ (- z a) (- z t))
58.0ms	(/ y (/ (- z a) (- z t)))

series332.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(+ x (/ y (/ (- z a) (- z t))))
63.0ms	(/ (- z a) (- z t))
148.0ms	(/ y (/ (- z a) (- z t)))

simplify1.0s

Counts: 215 → 215

prune629.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
0.0b	(/ z (- z t))
0.0b	(/ a (- z t))
3.8b	(/ y (- (/ z (- z t)) (/ a (- z t))))

rewrite467.0ms

Algorithm

rewrite-expression-head

Rules

177×	`*-un-lft-identity`
156×	`times-frac`
135×	`add-sqr-sqrt`
56×	`distribute-lft-out--`
55×	`add-cube-cbrt`
32×	`difference-of-squares`
28×	`associate-/r*`
24×	`associate-/r/`
12×	`distribute-rgt-out--`
11×	`flip3--` `flip--` `div-inv`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `frac-sub` `flip-+` `distribute-lft-out` `sub-div`

Counts

4 → 177

Calls

4 calls:

298.0ms	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
22.0ms	(/ z (- z t))
11.0ms	(/ a (- z t))
126.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

series441.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+ x (/ y (- (/ z (- z t)) (/ a (- z t)))))
82.0ms	(/ z (- z t))
39.0ms	(/ a (- z t))
173.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

simplify861.0ms

Counts: 189 → 189

prune711.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- z t))
0.0b	(/ a (- z t))
0.4b	(/ 1 (/ (- (/ z (- z t)) (/ a (- z t))) y))
3.7b	(/ (- (/ z (- z t)) (/ a (- z t))) y)

rewrite464.0ms

Algorithm

rewrite-expression-head

Rules

762×	`times-frac`
658×	`*-un-lft-identity`
498×	`add-sqr-sqrt`
226×	`add-cube-cbrt`
200×	`distribute-lft-out--`
104×	`difference-of-squares`
71×	`associate-/r*`
69×	`associate-/r/`
48×	`distribute-rgt-out--`
40×	`div-inv`
35×	`flip3--` `flip--`
27×	`associate-/l*`
21×	`add-exp-log`
15×	`add-cbrt-cube`
10×	`div-exp`
6×	`cbrt-undiv`
5×	`pow1`
4×	`frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`rec-exp` `1-exp`
1×	`pow-flip` `div-sub` `frac-sub` `inv-pow` `sub-div`

Counts

4 → 422

Calls

4 calls:

22.0ms	(/ z (- z t))
22.0ms	(/ a (- z t))
142.0ms	(/ 1 (/ (- (/ z (- z t)) (/ a (- z t))) y))
236.0ms	(/ (- (/ z (- z t)) (/ a (- z t))) y)

series483.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(/ z (- z t))
37.0ms	(/ a (- z t))
179.0ms	(/ 1 (/ (- (/ z (- z t)) (/ a (- z t))) y))
214.0ms	(/ (- (/ z (- z t)) (/ a (- z t))) y)

simplify709.0ms

Counts: 434 → 434

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes182.0ms

Accuracy

-2.3% (1.3b remaining)

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

bsearch80.0ms

Steps

Iters	Range		Point
6	1.4800420664589998e-20	1.7032597989513092e-19	1.0253879521988147e-19
8	-7.900526930121995e-72	-6.799482303974979e-75	-6.366002923159597e-72

simplify680.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

542.0ms	8755×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid