Details

sample46.0ms

Algorithm

intervals

Results

14.0ms	248×	body	80	valid
3.0ms	14×	body	640	valid
3.0ms	11×	body	1280	valid
1.0ms	9×	body	320	valid
1.0ms	9×	body	160	valid

simplify59.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.7b	(+ x (/ (* (- y x) (- z t)) (- a t)))
18.9b	(/ (* (- y x) (- z t)) (- a t))

rewrite99.0ms

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:

40.0ms	(* (- y x) (- z t))
25.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
30.0ms	(/ (* (- y x) (- z t)) (- a t))

series446.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* (- y x) (- z t))
236.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
158.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify61.0ms

Counts: 90 → 90

prune330.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.7b	(+ x (* (- y x) (/ (- z t) (- a t))))
2.8b	(* (- y x) (/ (- z t) (- a t)))

rewrite134.0ms

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:

27.0ms	(/ (- z t) (- a t))
9.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
90.0ms	(* (- y x) (/ (- z t) (- a t)))

series465.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (- z t) (- a t))
236.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
171.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify52.0ms

Counts: 128 → 128

prune388.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.7b	(+ x (/ (- y x) (/ (- a t) (- z t))))
3.2b	(/ (- y x) (/ (- a t) (- z t)))

rewrite502.0ms

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:

22.0ms	(/ (- a t) (- z t))
108.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
59.0ms	(/ (- y x) (/ (- a t) (- z t)))

series524.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- a t) (- z t))
200.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
268.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify102.0ms

Counts: 283 → 283

prune806.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- z t))
0.0b	(- (/ a (- z t)) (/ t (- z t)))
2.7b	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))
3.2b	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))

rewrite597.0ms

Algorithm

rewrite-expression-head

Rules

283×	`*-un-lft-identity`
231×	`times-frac`
211×	`add-sqr-sqrt`
107×	`distribute-lft-out--`
65×	`difference-of-squares`
53×	`add-cube-cbrt`
34×	`associate-/r/`
23×	`associate-/r*`
21×	`distribute-rgt-out--`
18×	`flip3--` `flip--`
16×	`div-inv`
8×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
4×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `frac-sub` `associate-/l/` `sub-div`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 211

Calls

4 calls:

12.0ms	(/ t (- z t))
118.0ms	(- (/ a (- z t)) (/ t (- z t)))
283.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))
161.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))

series591.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ t (- z t))
102.0ms	(- (/ a (- z t)) (/ t (- z t)))
247.0ms	(+ x (/ (- y x) (- (/ a (- z t)) (/ t (- z t)))))
180.0ms	(/ (- y x) (- (/ a (- z t)) (/ t (- z t))))

simplify73.0ms

Counts: 223 → 223

prune661.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.6b

regimes380.0ms

Accuracy

-0.9% (7.8b remaining)

Error of 11.9b against oracle of 4.1b and baseline of 11.8b

bsearch109.0ms

Steps

Iters	Range		Point
8	2.1103558999975992e+228	5.420559974583293e+231	8.281375759210086e+228
9	-1.948675354149268e+143	-3.360519575699694e+137	-1.8572584728780473e+143

simplify55.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

713.0ms	7712×	body	80	valid
95.0ms	462×	body	640	valid
71.0ms	270×	body	1280	valid
66.0ms	427×	body	320	valid
29.0ms	266×	body	160	valid
6.0ms	21×	body	2560	valid