Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	243×	body	80	valid
3.0ms	18×	body	640	valid
2.0ms	14×	body	320	valid
1.0ms	10×	body	160	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	2560	valid

simplify55.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.9b

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)))
18.5b	(/ (* (- y x) (- z t)) (- a t))

rewrite112.0ms

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:

45.0ms	(* (- y x) (- z t))
28.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
37.0ms	(/ (* (- y x) (- z t)) (- a t))

series389.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* (- y x) (- z t))
188.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
159.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify56.0ms

Counts: 90 → 90

prune321.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.5b	(* (- y x) (/ (- z t) (- a t)))
2.7b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite157.0ms

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:

37.0ms	(/ (- z t) (- a t))
102.0ms	(* (- y x) (/ (- z t) (- a t)))
12.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series476.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (- z t) (- a t))
167.0ms	(* (- y x) (/ (- z t) (- a t)))
241.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify56.0ms

Counts: 128 → 128

prune403.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
2.5b	(* (- y x) (* (- z t) (/ 1 (- a t))))
3.4b	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

20.0ms	(/ 1 (- a t))
65.0ms	(* (- z t) (/ 1 (- a t)))
102.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
12.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series511.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ 1 (- a t))
67.0ms	(* (- z t) (/ 1 (- a t)))
141.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
264.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify66.0ms

Counts: 158 → 158

prune482.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.6b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.5b	(/ (- y x) (/ (- a t) (- z t)))
2.7b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite219.0ms

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))
50.0ms	(/ (- y x) (/ (- a t) (- z t)))
120.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series577.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (- a t) (- z t))
281.0ms	(/ (- y x) (/ (- a t) (- z t)))
244.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify94.0ms

Counts: 283 → 283

prune814.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.4b

regimes384.0ms

Accuracy

3% (7.3b remaining)

Error of 11.5b against oracle of 4.2b and baseline of 11.7b

bsearch122.0ms

Steps

Iters	Range		Point
9	2.687418488347498e-108	8.007167870481151e-101	2.7287060878539615e-108
6	-3.4395002952206196e-47	-2.326874170678e-48	-2.3682541366163105e-48

simplify55.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

595.0ms	7760×	body	80	valid
153.0ms	275×	body	1280	valid
95.0ms	463×	body	640	valid
69.0ms	441×	body	320	valid
61.0ms	254×	body	160	valid
7.0ms	21×	body	2560	valid