Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

283×

body

valid

simplify833.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	60	10
4	102	10
5	149	10
6	199	10
7	234	10
8	278	10
9	364	10
10	477	10
11	549	10
12	643	10
13	671	10
done	671	10

prune8.0ms

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))
3.1b	(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:

5.0ms	(/ y (- z a))
0.0ms	(fma (/ y (- z a)) (- z t) x)

series116.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ y (- z a))
86.0ms	(fma (/ y (- z a)) (- z t) x)

simplify1.1s

Counts

55 → 55

Iterations

Useful iterations: 4 (433.0ms)

Iter	Nodes	Cost
0	92	552
1	171	535
2	363	495
3	780	495
4	2052	494
done	5001	494

prune167.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* y (/ 1 (- z a)))
3.1b	(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 99

Calls

3 calls:

6.0ms	(/ 1 (- z a))
17.0ms	(* y (/ 1 (- z a)))
0.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

series154.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1 (- z a))
33.0ms	(* y (/ 1 (- z a)))
85.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

simplify1.7s

Counts

108 → 108

Iterations

Useful iterations: 4 (753.0ms)

Iter	Nodes	Cost
0	132	1057
1	289	837
2	537	751
3	1069	751
4	3002	750
done	5001	750

prune242.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.1b	(fma (/ (* (cbrt y) (cbrt y)) (/ (- z a) (cbrt y))) (- z t) x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
0.0ms	(fma (/ (* (cbrt y) (cbrt y)) (/ (- z a) (cbrt y))) (- z t) x)

series689.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt y)
189.0ms	(cbrt y)
195.0ms	(cbrt y)
111.0ms	(fma (/ (* (cbrt y) (cbrt y)) (/ (- z a) (cbrt y))) (- z t) x)

simplify1.6s

Counts

61 → 61

Iterations

Useful iterations: 3 (71.0ms)

Iter	Nodes	Cost
0	49	464
1	91	452
2	213	356
3	639	314
4	3433	314
done	5001	314

prune208.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z t))
0.0b	(+ x (/ (* y (- z t)) (- z a)))
11.0b	(/ (* y (- z t)) (- z a))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 94

Calls

3 calls:

12.0ms	(* y (- z t))
13.0ms	(+ x (/ (* y (- z t)) (- z a)))
14.0ms	(/ (* y (- z t)) (- z a))

series188.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* y (- z t))
77.0ms	(+ x (/ (* y (- z t)) (- z a)))
70.0ms	(/ (* y (- z t)) (- z a))

simplify979.0ms

Counts

103 → 103

Iterations

Useful iterations: done (976.0ms)

Iter	Nodes	Cost
0	182	1394
1	422	1177
2	1227	1009
done	5000	991

prune221.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes217.0ms

Accuracy

56.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 1.2b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	57
1	27	57
done	27	57

end0.0ms

sample522.0ms

Algorithm

intervals

Results

268.0ms	8764×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid