Details

sample51.0ms

Algorithm

intervals

Results

23.0ms

272×

body

valid

simplify755.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
3.5b	(* y (/ (- z t) (- z a)))

rewrite89.0ms

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:

7.0ms	(+ x (* y (/ (- z t) (- z a))))
27.0ms	(/ (- z t) (- z a))
51.0ms	(* y (/ (- z t) (- z a)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(+ x (* y (/ (- z t) (- z a))))
66.0ms	(/ (- z t) (- z a))
91.0ms	(* y (/ (- z t) (- z a)))

simplify658.0ms

Counts: 122 → 122

prune414.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
3.5b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite198.0ms

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 (/ (- z a) (- z t)))))
33.0ms	(/ (- z a) (- z t))
38.0ms	(/ 1 (/ (- z a) (- z t)))
101.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series531.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
80.0ms	(/ (- z a) (- z t))
139.0ms	(/ 1 (/ (- z a) (- z t)))
165.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify1.7s

Counts: 350 → 350

prune1.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
0.0b	(/ (- z a) (- z t))
3.4b	(/ y (/ (- z a) (- z t)))

rewrite228.0ms

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:

161.0ms	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
27.0ms	(/ (- z a) (- z t))
24.0ms	(/ y (/ (- z a) (- z t)))

series346.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(+ x (pow (/ y (/ (- z a) (- z t))) 1))
67.0ms	(/ (- z a) (- z t))
162.0ms	(/ y (/ (- z a) (- z t)))

simplify1.0s

Counts: 215 → 215

prune809.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(* (cbrt (- z a)) (cbrt (- z a)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

37×	`cbrt-prod`
31×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
15×	`add-cube-cbrt`
12×	`cbrt-div`
11×	`pow1`
10×	`swap-sqr`
9×	`pow1/3`
8×	`associate-r` `associate-l`
6×	`add-exp-log` `flip3--` `flip--` `distribute-lft-out--`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `difference-of-squares` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 89

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
60.0ms	(* (cbrt (- z a)) (cbrt (- z a)))

series891.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(cbrt y)
230.0ms	(cbrt y)
269.0ms	(cbrt y)
163.0ms	(* (cbrt (- z a)) (cbrt (- z a)))

simplify1.6s

Counts: 101 → 101

prune624.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes181.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify908.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

562.0ms	8722×	body	80	valid
0.0ms	1×	body	320	valid