Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

289×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	61	10
4	103	10
5	157	10
6	210	10
7	265	10
8	350	10
9	441	10
10	690	10
11	872	10
12	1071	10
13	1174	10
14	1183	10
done	1183	10

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.9b	(fma (/ y (- z a)) (- z t) x)

rewrite8.0ms

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:

6.0ms	(/ y (- z a))
0.0ms	(fma (/ y (- z a)) (- z t) x)

series117.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ y (- z a))
85.0ms	(fma (/ y (- z a)) (- z t) x)

simplify1.9s

Counts

55 → 55

Iterations

Useful iterations: 4 (652.0ms)

Iter	Nodes	Cost
0	92	552
1	175	535
2	460	495
3	1280	495
4	3829	494
done	5001	494

prune167.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite58.0ms

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:

6.0ms	(/ y (- z a))
17.0ms	(+ (* (/ y (- z a)) (- z t)) x)
28.0ms	(* (/ y (- z a)) (- z t))

series261.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ y (- z a))
103.0ms	(+ (* (/ y (- z a)) (- z t)) x)
127.0ms	(* (/ y (- z a)) (- z t))

simplify1.0s

Counts

154 → 154

Iterations

Useful iterations: 2 (186.0ms)

Iter	Nodes	Cost
0	226	2339
1	582	1987
2	2140	1747
done	5000	1747

prune433.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite54.0ms

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:

9.0ms	(+ (* y (/ (- z t) (- z a))) x)
13.0ms	(/ (- z t) (- z a))
27.0ms	(* y (/ (- z t) (- z a)))

series235.0ms

Counts

3 → 9

Calls

3 calls:

98.0ms	(+ (* y (/ (- z t) (- z a))) x)
58.0ms	(/ (- z t) (- z a))
79.0ms	(* y (/ (- z t) (- z a)))

simplify677.0ms

Counts

129 → 129

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	168	1615
1	440	1506
2	1570	1422
done	5000	1422

prune369.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* y (* (- z t) (/ 1 (- z a)))) x)
0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
2.1b	(* y (* (- z t) (/ 1 (- z a))))

rewrite96.0ms

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:

26.0ms	(+ (* y (* (- z t) (/ 1 (- z a)))) x)
6.0ms	(/ 1 (- z a))
27.0ms	(* (- z t) (/ 1 (- z a)))
30.0ms	(* y (* (- z t) (/ 1 (- z a))))

series288.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(+ (* y (* (- z t) (/ 1 (- z a)))) x)
41.0ms	(/ 1 (- z a))
57.0ms	(* (- z t) (/ 1 (- z a)))
85.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify1.0s

Counts

151 → 151

Iterations

Useful iterations: 2 (182.0ms)

Iter	Nodes	Cost
0	190	1812
1	480	1500
2	1777	1294
done	5000	1294

prune363.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes166.0ms

Accuracy

83.4% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.5b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	25	62
1	32	60
done	32	60

end0.0ms

sample567.0ms

Algorithm

intervals

Results

279.0ms	8763×	body	80	valid
0.0ms	1×	body	160	valid