Details

sample33.0ms

Algorithm

intervals

Results

13.0ms

276×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 3 (20.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
2.3b	(fma (/ y (- a t)) (- z t) x)

rewrite20.0ms

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:

17.0ms	(/ y (- a t))
0.0ms	(fma (/ y (- a t)) (- z t) x)

series346.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ y (- a t))
305.0ms	(fma (/ y (- a t)) (- z t) x)

simplify2.2s

Counts

55 → 55

Iterations

Useful iterations: 4 (907.0ms)

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

prune247.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ y (- a t)) (- z t)) x)
0.0b	(/ y (- a t))
12.4b	(* (/ y (- a t)) (- z t))

rewrite138.0ms

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:

37.0ms	(+ (* (/ y (- a t)) (- z t)) x)
26.0ms	(/ y (- a t))
68.0ms	(* (/ y (- a t)) (- z t))

series745.0ms

Counts

3 → 9

Calls

3 calls:

429.0ms	(+ (* (/ y (- a t)) (- z t)) x)
59.0ms	(/ y (- a t))
256.0ms	(* (/ y (- a t)) (- z t))

simplify1.5s

Counts

154 → 154

Iterations

Useful iterations: done (1.4s)

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

prune617.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y (/ (- z t) (- a t))) x)
0.0b	(/ (- z t) (- a t))
1.5b	(* y (/ (- z t) (- a t)))

rewrite193.0ms

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:

40.0ms	(+ (* y (/ (- z t) (- a t))) x)
38.0ms	(/ (- z t) (- a t))
108.0ms	(* y (/ (- z t) (- a t)))

series361.0ms

Counts

3 → 9

Calls

3 calls:

179.0ms	(+ (* y (/ (- z t) (- a t))) x)
83.0ms	(/ (- z t) (- a t))
99.0ms	(* y (/ (- z t) (- a t)))

simplify2.5s

Counts

129 → 129

Iterations

Useful iterations: 3 (1.2s)

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

prune500.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (* (- z t) (/ 1 (- a t)))) x)
0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.5b	(* y (* (- z t) (/ 1 (- a t))))

rewrite277.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
25×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `associate-/r/` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `fma-def` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 139

Calls

4 calls:

63.0ms	(+ (* y (* (- z t) (/ 1 (- a t)))) x)
25.0ms	(/ 1 (- a t))
99.0ms	(* (- z t) (/ 1 (- a t)))
84.0ms	(* y (* (- z t) (/ 1 (- a t))))

series400.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(+ (* y (* (- z t) (/ 1 (- a t)))) x)
52.0ms	(/ 1 (- a t))
78.0ms	(* (- z t) (/ 1 (- a t)))
111.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify1.3s

Counts

151 → 151

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	190	1812
1	454	1456
2	1402	1294
done	5001	1286

prune470.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes375.0ms

Accuracy

74.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.3b

bsearch113.0ms

Steps

Iters	Range		Point
8	7.53926619058398e-57	3.377665568612396e-52	3.2057391781882634e-56
8	-6.778815163455355e-35	-5.900459728831861e-38	-4.637379201468954e-36

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	21	43
1	31	33
done	31	33

end0.0ms

sample1.2s

Algorithm

intervals

Results

564.0ms	8723×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	160	valid