Details

sample49.0ms

Algorithm

intervals

Results

17.0ms

281×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	2304
10	835
9	508
8	366
7	295
6	258
5	156
4	95
3	55
2	34
1	20
0	10

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite100.0ms

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:

21.0ms	(/ (- z t) (- a t))
9.0ms	(+ x (* y (/ (- z t) (- a t))))
65.0ms	(* y (/ (- z t) (- a t)))

series268.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(/ (- z t) (- a t))
108.0ms	(+ x (* y (/ (- z t) (- a t))))
98.0ms	(* y (/ (- z t) (- a t)))

simplify713.0ms

Counts

122 → 122

Iterations

Iter	Nodes
done	5001
2	1782
1	446
0	162

prune691.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.5b	(/ 1 (/ (- a t) (- z t)))
2.1b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*` `add-exp-log`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `div-sub` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `flip-+` `pow-flip` `inv-pow`

Counts

4 → 338

Calls

4 calls:

28.0ms	(/ (- a t) (- z t))
7.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
32.0ms	(/ 1 (/ (- a t) (- z t)))
81.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series580.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/ (- a t) (- z t))
140.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
164.0ms	(/ 1 (/ (- a t) (- z t)))
201.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify507.0ms

Counts

350 → 350

Iterations

Iter	Nodes
done	5001
1	1097
0	373

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
1.0b	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))
1.4b	(* (cbrt y) (/ (- z t) (- a t)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`associate-r`
30×	`add-exp-log`
27×	`times-frac`
19×	`add-cube-cbrt`
18×	`pow1` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
11×	`cbrt-prod`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`pow-prod-down`
7×	`associate-l`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-*r/`
2×	`pow1/3` `associate-/r/` `*-commutative`
1×	`flip3--` `div-inv` `flip--`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
51.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))
49.0ms	(* (cbrt y) (/ (- z t) (- a t)))

series732.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt y)
199.0ms	(cbrt y)
121.0ms	(* (* (cbrt y) (cbrt y)) (* (cbrt y) (/ (- z t) (- a t))))
208.0ms	(* (cbrt y) (/ (- z t) (- a t)))

simplify1.8s

Counts

116 → 116

Iterations

Iter	Nodes
done	5001
2	2639
1	415
0	149

prune637.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
0.0b	(+ x (* (/ y (- a t)) (- z t)))
10.4b	(* (/ y (- a t)) (- z t))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 102

Calls

3 calls:

9.0ms	(/ y (- a t))
5.0ms	(+ x (* (/ y (- a t)) (- z t)))
38.0ms	(* (/ y (- a t)) (- z t))

series350.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ y (- a t))
134.0ms	(+ x (* (/ y (- a t)) (- z t)))
167.0ms	(* (/ y (- a t)) (- z t))

simplify890.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	5001
2	1801
1	433
0	166

prune678.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes688.0ms

Accuracy

-2.7% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch74.0ms

Steps

Iters	Range		Point
8	4.9564136056538495e-85	2.304535816897587e-82	6.273265383924108e-85
5	8.307811047865195e-178	1.7119659498383211e-177	1.1445793545976985e-177

simplify9.0ms

Iterations

Iter	Nodes
done	45
3	45
2	42
1	38
0	25

end0.0ms

sample1.6s

Algorithm

intervals

Results

493.0ms	8720×	body	80	valid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid