Details

sample48.0ms

Algorithm

intervals

Results

19.0ms	239×	body	80	valid
3.0ms	18×	body	640	valid
2.0ms	18×	body	320	valid
2.0ms	9×	body	1280	valid
1.0ms	7×	body	160	valid

simplify1.0s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
2.9b	(+ x (/ (* (- y x) (- z t)) (- a t)))
15.2b	(/ (* (- y x) (- z t)) (- a t))

rewrite169.0ms

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:

57.0ms	(* (- y x) (- z t))
44.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
62.0ms	(/ (* (- y x) (- z t)) (- a t))

series426.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (- y x) (- z t))
224.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
153.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify1.1s

Counts: 90 → 90

prune353.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
0.9b	(* (- y x) (/ (- z t) (- a t)))
2.9b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite198.0ms

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:

46.0ms	(/ (- z t) (- a t))
127.0ms	(* (- y x) (/ (- z t) (- a t)))
15.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series447.0ms

Counts

3 → 9

Calls

3 calls:

83.0ms	(/ (- z t) (- a t))
145.0ms	(* (- y x) (/ (- z t) (- a t)))
218.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify805.0ms

Counts: 128 → 128

prune427.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.9b	(/ (- y x) (/ (- a t) (- z t)))
2.9b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite192.0ms

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:

27.0ms	(/ (- a t) (- z t))
49.0ms	(/ (- y x) (/ (- a t) (- z t)))
98.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series614.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (- a t) (- z t))
295.0ms	(/ (- y x) (/ (- a t) (- z t)))
232.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify1.6s

Counts: 283 → 283

prune778.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.9b	(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
9.9b	(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

rewrite336.0ms

Algorithm

rewrite-expression-head

Rules

82×	`frac-times`
76×	`cbrt-div`
56×	`flip3--` `flip--`
38×	`associate-*l/`
32×	`associate-*r/`
22×	`add-exp-log`
16×	`add-cbrt-cube`
13×	`pow1` `add-sqr-sqrt` `*-un-lft-identity`
11×	`prod-exp` `cbrt-unprod`
10×	`cbrt-prod`
7×	`add-cube-cbrt`
6×	`pow-prod-down` `add-log-exp`
5×	`associate-l`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

4 → 121

Calls

4 calls:

4.0ms	(cbrt (- z t))
7.0ms	(cbrt (- z t))
306.0ms	(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
9.0ms	(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

series778.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt (- z t))
216.0ms	(cbrt (- z t))
155.0ms	(* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))
209.0ms	(+ x (* (- y x) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t)))))

simplify1.4s

Counts: 133 → 133

prune647.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 4.8b

regimes326.0ms

Accuracy

13.5% (6.3b remaining)

Error of 10.4b against oracle of 4.1b and baseline of 11.4b

bsearch113.0ms

Steps

Iters	Range		Point
8	7.567444882318924e-123	1.1927660155312146e-118	8.391913332199526e-123
9	-1.7876636435996066e-199	-8.439489655177465e-206	-1.3035068173023491e-200

simplify1.3s

end0.0ms

sample1.8s

Algorithm

intervals

Results

903.0ms	7826×	body	80	valid
151.0ms	482×	body	640	valid
64.0ms	266×	body	1280	valid
56.0ms	397×	body	320	valid
27.0ms	248×	body	160	valid
3.0ms	11×	body	2560	valid