Details

sample45.0ms

Algorithm

intervals

Results

18.0ms

273×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 3 (32.0ms)

Iter	Nodes	Cost
0	10	11
1	17	11
2	32	11
3	60	10
4	111	10
5	156	10
6	206	10
7	251	10
8	301	10
9	386	10
10	484	10
11	552	10
12	616	10
13	644	10
done	644	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.6b	(fma (/ y (- a t)) (- z t) x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

30.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series286.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ y (- a t))
253.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.5s

Counts

55 → 55

Iterations

Useful iterations: 4 (636.0ms)

Iter	Nodes	Cost
0	92	550
1	167	533
2	348	493
3	761	491
4	2276	490
done	5000	490

prune224.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ y (- a t)) (- z t)) x)
0.0b	(/ y (- a t))
10.0b	(* (/ y (- a t)) (- z t))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-r` `associate-/r*` `add-log-exp`
4×	`sub-neg` `flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 145

Calls

3 calls:

32.0ms	(+ (* (/ y (- a t)) (- z t)) x)
13.0ms	(/ y (- a t))
74.0ms	(* (/ y (- a t)) (- z t))

series522.0ms

Counts

3 → 9

Calls

3 calls:

277.0ms	(+ (* (/ y (- a t)) (- z t)) x)
33.0ms	(/ y (- a t))
212.0ms	(* (/ y (- a t)) (- z t))

simplify1.3s

Counts

154 → 154

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	226	2345
1	549	1993
2	1524	1789
done	5000	1755

prune531.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite115.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 120

Calls

3 calls:

27.0ms	(+ (* y (/ (- z t) (- a t))) x)
25.0ms	(/ (- z t) (- a t))
54.0ms	(* y (/ (- z t) (- a t)))

series273.0ms

Counts

3 → 9

Calls

3 calls:

108.0ms	(+ (* y (/ (- z t) (- a t))) x)
88.0ms	(/ (- z t) (- a t))
77.0ms	(* y (/ (- z t) (- a t)))

simplify2.3s

Counts

129 → 129

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	168	1615
1	431	1506
2	1201	1422
3	3757	1414
done	5002	1414

prune380.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite267.0ms

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×	`add-exp-log` `associate-/r*`
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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `fma-def` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 347

Calls

4 calls:

34.0ms	(+ (* y (/ 1 (/ (- a t) (- z t)))) x)
33.0ms	(/ (- a t) (- z t))
32.0ms	(/ 1 (/ (- a t) (- z t)))
124.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series801.0ms

Counts

4 → 12

Calls

4 calls:

310.0ms	(+ (* y (/ 1 (/ (- a t) (- z t)))) x)
68.0ms	(/ (- a t) (- z t))
202.0ms	(/ 1 (/ (- a t) (- z t)))
221.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify1.6s

Counts

359 → 359

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	381	5804
1	935	4691
2	2044	4290
done	5001	4204

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes183.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

531.0ms	8721×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid