Details

sample45.0ms

Algorithm

intervals

Results

18.0ms

279×

body

valid

simplify696.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- a t)))
11.7b	(/ (* y (- z t)) (- a t))

rewrite100.0ms

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:

20.0ms	(* y (- z t))
41.0ms	(+ x (/ (* y (- z t)) (- a t)))
36.0ms	(/ (* y (- z t)) (- a t))

series294.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* y (- z t))
128.0ms	(+ x (/ (* y (- z t)) (- a t)))
99.0ms	(/ (* y (- z t)) (- a t))

simplify713.0ms

Counts: 76 → 76

prune316.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
0.5b	(/ y (/ (- a t) (- z t)))

rewrite221.0ms

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:

102.0ms	(+ x (/ y (/ (- a t) (- z t))))
46.0ms	(/ (- a t) (- z t))
54.0ms	(/ y (/ (- a t) (- z t)))

series480.0ms

Counts

3 → 9

Calls

3 calls:

158.0ms	(+ x (/ y (/ (- a t) (- z t))))
87.0ms	(/ (- a t) (- z t))
234.0ms	(/ y (/ (- a t) (- z t)))

simplify1.2s

Counts: 215 → 215

prune650.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
5.9b	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

263×	`times-frac`
204×	`add-sqr-sqrt`
195×	`*-un-lft-identity`
143×	`associate-r`
111×	`add-cube-cbrt`
91×	`cbrt-prod`
42×	`distribute-lft-out--` `difference-of-squares`
36×	`cbrt-div`
25×	`add-exp-log`
18×	`flip3--` `flip--`
17×	`add-cbrt-cube`
16×	`frac-times`
12×	`associate-*l/`
9×	`pow1` `prod-exp` `cbrt-unprod`
7×	`associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`associate-*r/`
4×	`div-inv` `add-log-exp` `unswap-sqr`
3×	`pow1/3` `pow-prod-down`
1×	`associate-l` `*-commutative`

Counts

4 → 232

Calls

4 calls:

8.0ms	(cbrt (- z t))
8.0ms	(cbrt (- z t))
8.0ms	(cbrt (- z t))
225.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

series783.0ms

Counts

4 → 12

Calls

4 calls:

199.0ms	(cbrt (- z t))
241.0ms	(cbrt (- z t))
228.0ms	(cbrt (- z t))
115.0ms	(* (* (cbrt (- z t)) (cbrt (- z t))) (/ y (/ (- a t) (cbrt (- z t)))))

simplify674.0ms

Counts: 244 → 244

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ y (- a t)) (- z t)))
0.0b	(/ y (- a t))
9.4b	(* (/ y (- a t)) (- z t))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

8.0ms	(+ x (* (/ y (- a t)) (- z t)))
11.0ms	(/ y (- a t))
92.0ms	(* (/ y (- a t)) (- z t))

series441.0ms

Counts

3 → 9

Calls

3 calls:

187.0ms	(+ x (* (/ y (- a t)) (- z t)))
57.0ms	(/ y (- a t))
197.0ms	(* (/ y (- a t)) (- z t))

simplify715.0ms

Counts: 111 → 111

prune333.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes249.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify606.0ms

end0.0ms

sample1.2s

Algorithm

intervals

Results

520.0ms	8712×	body	80	valid
0.0ms	2×	body	160	valid