Details

sample43.0ms

Algorithm

intervals

Results

16.0ms

287×

body

valid

simplify571.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
0.8b	(* y (/ (- z t) (- a t)))

rewrite125.0ms

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))))
33.0ms	(/ (- z t) (- a t))
73.0ms	(* y (/ (- z t) (- a t)))

series319.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(+ x (* y (/ (- z t) (- a t))))
81.0ms	(/ (- z t) (- a t))
103.0ms	(* y (/ (- z t) (- a t)))

simplify780.0ms

Counts: 122 → 122

prune360.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 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))
0.3b	(/ 1 (/ (- a t) (- z t)))
0.8b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite189.0ms

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:

9.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
31.0ms	(/ (- a t) (- z t))
31.0ms	(/ 1 (/ (- a t) (- z t)))
90.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series721.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
80.0ms	(/ (- a t) (- z t))
216.0ms	(/ 1 (/ (- a t) (- z t)))
221.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify1.7s

Counts: 350 → 350

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
0.8b	(* y (* (- z t) (/ 1 (- a t))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 130

Calls

4 calls:

11.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
13.0ms	(/ 1 (- a t))
75.0ms	(* (- z t) (/ 1 (- a t)))
63.0ms	(* y (* (- z t) (/ 1 (- a t))))

series368.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
49.0ms	(/ 1 (- a t))
77.0ms	(* (- z t) (/ 1 (- a t)))
95.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify766.0ms

Counts: 142 → 142

prune367.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.8b	(* y (/ 1 (* (* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t)))) (cbrt (/ (- a t) (- z t))))))
3.2b	(cbrt (/ (- a t) (- z t)))
3.2b	(cbrt (/ (- a t) (- z t)))
3.2b	(cbrt (/ (- a t) (- z t)))

rewrite859.0ms

Algorithm

rewrite-expression-head

Rules

102×	`add-sqr-sqrt`
100×	`*-un-lft-identity`
93×	`cbrt-prod`
78×	`times-frac`
40×	`add-cube-cbrt`
36×	`add-exp-log`
30×	`distribute-lft-out--` `difference-of-squares`
19×	`prod-exp`
15×	`cbrt-div`
14×	`associate-r` `add-cbrt-cube`
13×	`associate-/r/`
7×	`cbrt-unprod`
6×	`pow1` `div-exp`
5×	`frac-times` `associate-*l/`
4×	`associate-*r/` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `flip3--` `pow1/3` `1-exp` `associate-l` `flip--`
1×	`pow-prod-down` `un-div-inv` `*-commutative` `unswap-sqr`

Counts

4 → 163

Calls

4 calls:

802.0ms	(* y (/ 1 (* (* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t)))) (cbrt (/ (- a t) (- z t))))))
13.0ms	(cbrt (/ (- a t) (- z t)))
13.0ms	(cbrt (/ (- a t) (- z t)))
21.0ms	(cbrt (/ (- a t) (- z t)))

series1.4s

Counts

4 → 12

Calls

4 calls:

196.0ms	(* y (/ 1 (* (* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t)))) (cbrt (/ (- a t) (- z t))))))
489.0ms	(cbrt (/ (- a t) (- z t)))
346.0ms	(cbrt (/ (- a t) (- z t)))
385.0ms	(cbrt (/ (- a t) (- z t)))

simplify785.0ms

Counts: 175 → 175

prune771.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes162.0ms

Accuracy

0% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify1.2s

end0.0ms

sample1.5s

Algorithm

intervals

Results

450.0ms	8764×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	160	valid