Details

sample79.0ms

Algorithm

intervals

Results

19.0ms	245×	body	80	valid
4.0ms	18×	body	320	valid
3.0ms	8×	body	1280	valid
3.0ms	9×	body	640	valid
1.0ms	9×	body	160	valid

simplify3.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1598
5	656
4	266
3	103
2	43
1	20
0	11

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.1b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
3.4b	(+ x (/ (* (- y x) (- z t)) (- a t)))
16.4b	(/ (* (- y x) (- z t)) (- a t))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`flip3--` `flip--`
10×	`add-cbrt-cube` `add-exp-log`
8×	`frac-times` `associate-/l/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-/r` `times-frac` `associate-r` `associate-l*` `add-log-exp`
4×	`associate-l/` `associate-r/` `distribute-lft-out--` `difference-of-squares`
3×	`insert-posit16`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod`
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 → 84

Calls

3 calls:

87.0ms	(* (- y x) (- z t))
33.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
42.0ms	(/ (* (- y x) (- z t)) (- a t))

series800.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(* (- y x) (- z t))
445.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
286.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify3.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5008
2	1911
1	483
0	165

prune1.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.1b

localize47.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.2b	(* (- y x) (/ (- z t) (- a t)))
3.4b	(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite184.0ms

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-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `flip3--` `associate-l` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`insert-posit16`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*l/` `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 → 122

Calls

3 calls:

38.0ms	(/ (- z t) (- a t))
122.0ms	(* (- y x) (/ (- z t) (- a t)))
11.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

series793.0ms

Counts

3 → 9

Calls

3 calls:

84.0ms	(/ (- z t) (- a t))
274.0ms	(* (- y x) (/ (- z t) (- a t)))
435.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))

simplify3.7s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	1725
1	506
0	186

prune2.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.1b

localize57.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.7b	(/ (- y x) (/ (- a t) (- z t)))
3.4b	(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite304.0ms

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-cbrt-cube` `add-exp-log` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub` `insert-posit16`
2×	`clear-num` `frac-2neg`
1×	`+-commutative` `associate-+r-` `sum-log` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 277

Calls

3 calls:

56.0ms	(/ (- a t) (- z t))
70.0ms	(/ (- y x) (/ (- a t) (- z t)))
133.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

series963.0ms

Counts

3 → 9

Calls

3 calls:

106.0ms	(/ (- a t) (- z t))
484.0ms	(/ (- y x) (/ (- a t) (- z t)))
373.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify6.0s

Counts

286 → 286

Iterations

Iter	Nodes
done	5000
2	3887
1	1153
0	357

prune3.5s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.1b

localize52.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (- z t) (/ 1 (- a t)))
2.2b	(* (- y x) (* (- z t) (/ 1 (- a t))))
3.8b	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`add-exp-log`
25×	`*-un-lft-identity`
22×	`associate-r`
20×	`frac-times`
17×	`times-frac` `add-cbrt-cube`
16×	`flip3--` `flip--`
14×	`add-cube-cbrt`
13×	`prod-exp`
10×	`pow1` `associate-l` `associate-l/` `associate-r/`
7×	`cbrt-unprod`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`div-exp` `pow-prod-down` `un-div-inv`
3×	`insert-posit16` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r/` `*-commutative`
1×	`+-commutative` `sum-log` `flip3-+` `flip-+` `div-inv`

Counts

3 → 108

Calls

3 calls:

94.0ms	(* (- z t) (/ 1 (- a t)))
200.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
27.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

series644.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(* (- z t) (/ 1 (- a t)))
223.0ms	(* (- y x) (* (- z t) (/ 1 (- a t))))
334.0ms	(+ x (* (- y x) (* (- z t) (/ 1 (- a t)))))

simplify4.0s

Counts

117 → 117

Iterations

Iter	Nodes
done	5022
2	2221
1	586
0	208

prune1.3s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 5.1b

regimes2.7s

Accuracy

46.3% (4.2b remaining)

Error of 8.2b against oracle of 4.0b and baseline of 11.8b

bsearch6.0ms

simplify18.0ms

Iterations

Iter	Nodes
done	35
1	35
0	26

end0.0ms

sample1.5s

Algorithm

intervals

Results

599.0ms	7765×	body	80	valid
125.0ms	494×	body	640	valid
86.0ms	412×	body	320	valid
73.0ms	269×	body	1280	valid
54.0ms	263×	body	160	valid
6.0ms	17×	body	2560	valid