Details

sample47.0ms

Algorithm

intervals

Results

14.0ms	248×	body	80	valid
4.0ms	18×	body	640	valid
2.0ms	9×	body	1280	valid
2.0ms	11×	body	320	valid
1.0ms	7×	body	160	valid
1.0ms	2×	body	2560	valid

simplify951.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.1b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.4b	(/ (* (- y x) (- z t)) (- a t))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-r/` `associate-l/` `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`
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 → 81

Calls

3 calls:

60.0ms	(* (- y x) (- z t))
34.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
61.0ms	(/ (* (- y x) (- z t)) (- a t))

series474.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* (- y x) (- z t))
235.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
184.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify913.0ms

Counts: 90 → 90

prune360.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.1b	(+ x (* (- y x) (/ (- z t) (- a t))))
2.2b	(* (- y x) (/ (- z t) (- a t)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `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 → 119

Calls

3 calls:

24.0ms	(/ (- z t) (- a t))
11.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
95.0ms	(* (- y x) (/ (- z t) (- a t)))

series453.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(/ (- z t) (- a t))
208.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
175.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify729.0ms

Counts: 128 → 128

prune423.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.9b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (- a t) (- z t))
2.1b	(+ x (/ (- y x) (/ (- a t) (- z t))))
2.7b	(/ (- y x) (/ (- a t) (- z t)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

25.0ms	(/ (- a t) (- z t))
117.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
39.0ms	(/ (- y x) (/ (- a t) (- z t)))

series630.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (- a t) (- z t))
256.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
300.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify1.3s

Counts: 283 → 283

prune1.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(* (cbrt (- a t)) (cbrt (- a t)))
2.2b	(* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))
7.7b	(+ x (* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

182×	`times-frac`
150×	`associate-r`
149×	`add-sqr-sqrt`
133×	`*-un-lft-identity`
120×	`cbrt-prod`
112×	`cbrt-div`
66×	`associate-/r/`
65×	`add-cube-cbrt`
58×	`flip3--` `flip--`
38×	`frac-times`
33×	`distribute-lft-out--`
31×	`difference-of-squares`
20×	`add-exp-log` `associate-*l/`
19×	`associate-*r/`
13×	`pow1` `associate-l` `add-cbrt-cube`
10×	`swap-sqr`
9×	`div-inv` `unswap-sqr`
7×	`pow1/3`
6×	`prod-exp` `cbrt-unprod` `add-log-exp`
5×	`cbrt-undiv` `div-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 256

Calls

4 calls:

4.0ms	(cbrt (- a t))
45.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
163.0ms	(* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))
15.0ms	(+ x (* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

series636.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (- a t))
143.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
149.0ms	(* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t))))
191.0ms	(+ x (* (- y x) (/ (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (cbrt (- a t)))))

simplify458.0ms

Counts: 268 → 268

prune1.0s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 3.7b

regimes368.0ms

Accuracy

46.9% (4.0b remaining)

Error of 7.8b against oracle of 3.8b and baseline of 11.3b

bsearch2.0ms

simplify809.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

512.0ms	7825×	body	80	valid
178.0ms	483×	body	640	valid
81.0ms	396×	body	320	valid
67.0ms	257×	body	1280	valid
55.0ms	250×	body	160	valid
4.0ms	15×	body	2560	valid