Details

sample36.0ms

Algorithm

intervals

Results

10.0ms

281×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
10	2292
9	780
8	442
7	291
6	218
5	165
4	104
3	57
2	32
1	17
0	10

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ (/ (* y (- z t)) (- a t)) x)
11.1b	(/ (* y (- z t)) (- a t))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

30.0ms	(* y (- z t))
62.0ms	(+ (/ (* y (- z t)) (- a t)) x)
39.0ms	(/ (* y (- z t)) (- a t))

series294.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* y (- z t))
136.0ms	(+ (/ (* y (- z t)) (- a t)) x)
95.0ms	(/ (* y (- z t)) (- a t))

simplify820.0ms

Counts

76 → 76

Iterations

Iter	Nodes
done	5000
2	1345
1	350
0	128

prune466.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.0b	(+ x (/ y (/ (- a t) (- z t))))
1.8b	(/ y (/ (- a t) (- z t)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

17.0ms	(/ (- a t) (- z t))
88.0ms	(+ x (/ y (/ (- a t) (- z t))))
31.0ms	(/ y (/ (- a t) (- z t)))

series453.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(/ (- a t) (- z t))
178.0ms	(+ x (/ y (/ (- a t) (- z t))))
206.0ms	(/ y (/ (- a t) (- z t)))

simplify1.4s

Counts

215 → 215

Iterations

Iter	Nodes
done	5001
2	4012
1	796
0	292

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

22.0ms	(/ (- z t) (- a t))
17.0ms	(+ (* y (/ (- z t) (- a t))) x)
41.0ms	(* y (/ (- z t) (- a t)))

series314.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- z t) (- a t))
137.0ms	(+ (* y (/ (- z t) (- a t))) x)
123.0ms	(* y (/ (- z t) (- a t)))

simplify1.0s

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1753
1	446
0	162

prune694.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ 1 (/ (/ (- a t) y) (- z t))))
0.0b	(/ (- a t) y)
0.5b	(/ 1 (/ (/ (- a t) y) (- z t)))
10.7b	(/ (/ (- a t) y) (- z t))

rewrite312.0ms

Algorithm

rewrite-expression-head

Rules

1183×	`times-frac`
809×	`*-un-lft-identity`
806×	`add-sqr-sqrt`
450×	`add-cube-cbrt`
178×	`distribute-lft-out--` `difference-of-squares`
109×	`associate-/r*`
34×	`div-inv`
32×	`add-exp-log`
27×	`associate-/l*`
20×	`add-cbrt-cube`
19×	`div-exp`
11×	`associate-/r/`
10×	`cbrt-undiv`
6×	`flip3--` `flip--` `add-log-exp`
5×	`pow1`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `div-sub` `associate-/l/`
2×	`distribute-lft-out`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 620

Calls

4 calls:

124.0ms	(+ x (/ 1 (/ (/ (- a t) y) (- z t))))
16.0ms	(/ (- a t) y)
61.0ms	(/ 1 (/ (/ (- a t) y) (- z t)))
32.0ms	(/ (/ (- a t) y) (- z t))

series656.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(+ x (/ 1 (/ (/ (- a t) y) (- z t))))
46.0ms	(/ (- a t) y)
228.0ms	(/ 1 (/ (/ (- a t) y) (- z t)))
121.0ms	(/ (/ (- a t) y) (- z t))

simplify1.3s

Counts

632 → 632

Iterations

Iter	Nodes
done	5001
1	2119
0	704

prune2.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes489.0ms

Accuracy

24.4% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.3b

bsearch148.0ms

Steps

Iters	Range		Point
8	4.9564136056538495e-85	2.304535816897587e-82	1.277502191388937e-82
11	2.202367239653683e-265	5.52218963463424e-246	3.9140945708045134e-265

simplify2.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.2s

Algorithm

intervals

Results

575.0ms	8719×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid