Details

sample58.0ms

Algorithm

intervals

Results

18.0ms	235×	body	80	valid
4.0ms	14×	body	640	valid
3.0ms	8×	body	1280	valid
2.0ms	11×	body	320	valid
1.0ms	10×	body	160	valid
0.0ms	1×	body	2560	valid

simplify1.1s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.4b	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.1b	(/ (* (- z t) y) (- a t))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

45.0ms	(* (- z t) y)
71.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
35.0ms	(/ (* (- z t) y) (- a t))

series340.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (- z t) y)
201.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
102.0ms	(/ (* (- z t) y) (- a t))

simplify657.0ms

Counts: 79 → 79

prune268.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
3.7b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
12.0b	(/ (- z t) (/ (- a t) y))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 197

Calls

3 calls:

16.0ms	(/ (- a t) y)
138.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
29.0ms	(/ (- z t) (/ (- a t) y))

series426.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ (- a t) y)
205.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
178.0ms	(/ (- z t) (/ (- a t) y))

simplify1.2s

Counts: 206 → 206

prune791.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
4.5b	(- y (/ (- z t) (/ (- a t) y)))
12.0b	(/ (- z t) (/ (- a t) y))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
174×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
43×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`sub-neg` `distribute-rgt-out--` `diff-log` `associate--r-`

Counts

3 → 193

Calls

3 calls:

17.0ms	(/ (- a t) y)
66.0ms	(- y (/ (- z t) (/ (- a t) y)))
42.0ms	(/ (- z t) (/ (- a t) y))

series354.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (- a t) y)
161.0ms	(- y (/ (- z t) (/ (- a t) y)))
155.0ms	(/ (- z t) (/ (- a t) y))

simplify1.0s

Counts: 202 → 202

prune705.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 3.3b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.2b	(* y (- 1 (/ (- z t) (- a t))))
2.5b	(- 1 (/ (- z t) (- a t)))

rewrite398.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
49×	`*-un-lft-identity`
29×	`times-frac`
20×	`difference-of-squares`
17×	`add-cube-cbrt`
14×	`distribute-lft-out--`
8×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`flip3--` `div-sub` `flip--`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate--r-`
2×	`associate-*r/` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 101

Calls

3 calls:

28.0ms	(/ (- z t) (- a t))
282.0ms	(* y (- 1 (/ (- z t) (- a t))))
80.0ms	(- 1 (/ (- z t) (- a t)))

series283.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- z t) (- a t))
133.0ms	(* y (- 1 (/ (- z t) (- a t))))
92.0ms	(- 1 (/ (- z t) (- a t)))

simplify544.0ms

Counts: 110 → 110

prune688.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

regimes291.0ms

Accuracy

-17.3% (5.4b remaining)

Error of 8.9b against oracle of 3.5b and baseline of 8.1b

bsearch94.0ms

Steps

Iters	Range		Point
9	4.4363206995103975e-132	1.2752211445163059e-123	3.0765839532615577e-124
7	-4.7525189968438803e-85	-1.6844469830608998e-86	-4.072147695298825e-86

simplify1.1s

end0.0ms

sample1.2s

Algorithm

intervals

Results

517.0ms	7363×	body	80	valid
102.0ms	438×	body	640	valid
57.0ms	279×	body	1280	valid
46.0ms	382×	body	320	valid
20.0ms	254×	body	160	valid
6.0ms	17×	body	2560	valid