Details

sample29.0ms

Algorithm

intervals

Results

11.0ms

287×

body

valid

simplify575.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z t)) (- a t)))
0.0b	(* y (- z t))
9.9b	(/ (* y (- z t)) (- a t))

rewrite79.0ms

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:

21.0ms	(+ x (/ (* y (- z t)) (- a t)))
33.0ms	(* y (- z t))
23.0ms	(/ (* y (- z t)) (- a t))

series274.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(+ x (/ (* y (- z t)) (- a t)))
59.0ms	(* y (- z t))
106.0ms	(/ (* y (- z t)) (- a t))

simplify691.0ms

Counts: 76 → 76

prune240.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
1.1b	(/ y (/ (- a t) (- z t)))

rewrite160.0ms

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:

87.0ms	(+ x (/ y (/ (- a t) (- z t))))
26.0ms	(/ (- a t) (- z t))
31.0ms	(/ y (/ (- a t) (- z t)))

series456.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(+ x (/ y (/ (- a t) (- z t))))
83.0ms	(/ (- a t) (- z t))
209.0ms	(/ y (/ (- a t) (- z t)))

simplify1.1s

Counts: 215 → 215

prune712.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

6.0ms	(cbrt (- a t))
6.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))
6.0ms	(cbrt (- z t))

series805.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt (- a t))
197.0ms	(cbrt (- z t))
196.0ms	(cbrt (- z t))
229.0ms	(cbrt (- z t))

simplify2.1s

Counts: 72 → 72

prune340.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(/ y (/ (- a t) (cbrt (- z t))))
6.1b	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

561×	`times-frac`
428×	`add-sqr-sqrt`
419×	`*-un-lft-identity`
233×	`add-cube-cbrt`
186×	`cbrt-prod`
143×	`associate-r`
93×	`distribute-lft-out--` `difference-of-squares`
46×	`associate-/r*`
42×	`cbrt-div`
30×	`add-exp-log`
21×	`flip3--` `add-cbrt-cube` `flip--`
16×	`frac-times` `associate-/r/`
12×	`associate-*l/`
9×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
5×	`associate-*r/`
4×	`add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `associate-/l*`
2×	`pow1/3`
1×	`frac-2neg` `associate-l` `clear-num` `*-commutative`

Counts

4 → 419

Calls

4 calls:

4.0ms	(cbrt (- z t))
4.0ms	(cbrt (- z t))
35.0ms	(/ y (/ (- a t) (cbrt (- z t))))
218.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

series685.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (- z t))
189.0ms	(cbrt (- z t))
244.0ms	(/ y (/ (- a t) (cbrt (- z t))))
83.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

simplify783.0ms

Counts: 431 → 431

prune1.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes255.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify574.0ms

end0.0ms

sample1.0s

Algorithm

intervals

Results

483.0ms	8762×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	160	valid