Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

278×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Useful iterations: 3 (12.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	61	10
4	112	10
5	157	10
6	207	10
7	251	10
8	302	10
9	387	10
10	485	10
11	553	10
12	617	10
13	645	10
done	645	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
4.1b	(fma (/ y (- z a)) (- z t) x)

rewrite36.0ms

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:

32.0ms	(/ y (- z a))
1.0ms	(fma (/ y (- z a)) (- z t) x)

series175.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ y (- z a))
125.0ms	(fma (/ y (- z a)) (- z t) x)

simplify2.1s

Counts

55 → 55

Iterations

Useful iterations: 4 (769.0ms)

Iter	Nodes	Cost
0	92	552
1	171	535
2	369	495
3	790	495
4	2344	494
done	5000	494

prune254.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* y (/ 1 (- z a)))
4.1b	(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite71.0ms

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:

18.0ms	(/ 1 (- z a))
44.0ms	(* y (/ 1 (- z a)))
1.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

series203.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ 1 (- z a))
35.0ms	(* y (/ 1 (- z a)))
110.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

simplify2.7s

Counts

108 → 108

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	132	1057
1	282	837
2	543	751
3	1176	751
4	3318	750
done	5000	750

prune336.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y (- z a)) (- z t) x)) (cbrt (fma (/ y (- z a)) (- z t) x)))
4.1b	(fma (/ y (- z a)) (- z t) x)
4.1b	(fma (/ y (- z a)) (- z t) x)
4.1b	(fma (/ y (- z a)) (- z t) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

25.0ms	(* (cbrt (fma (/ y (- z a)) (- z t) x)) (cbrt (fma (/ y (- z a)) (- z t) x)))
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)
1.0ms	(fma (/ y (- z a)) (- z t) x)

series857.0ms

Counts

4 → 12

Calls

4 calls:

497.0ms	(* (cbrt (fma (/ y (- z a)) (- z t) x)) (cbrt (fma (/ y (- z a)) (- z t) x)))
111.0ms	(fma (/ y (- z a)) (- z t) x)
125.0ms	(fma (/ y (- z a)) (- z t) x)
124.0ms	(fma (/ y (- z a)) (- z t) x)

simplify3.3s

Counts

84 → 84

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	70	1680
1	122	1558
2	290	1408
3	687	1184
4	2728	1171
done	5001	1132

prune381.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

4.1b	(fma (/ y (- z a)) (- z t) x)
4.1b	(fma (/ y (- z a)) (- z t) x)
4.1b	(fma (/ y (- z a)) (- z t) x)
4.1b	(fma (/ y (- z a)) (- z t) x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

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

series455.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(fma (/ y (- z a)) (- z t) x)
127.0ms	(fma (/ y (- z a)) (- z t) x)
123.0ms	(fma (/ y (- z a)) (- z t) x)
101.0ms	(fma (/ y (- z a)) (- z t) x)

simplify964.0ms

Counts

52 → 52

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	23	640
1	40	640
2	92	560
3	268	560
4	1060	560
done	5001	560

prune370.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes504.0ms

Accuracy

81% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	18	55
1	23	46
done	23	46

end0.0ms

sample1.7s

Algorithm

intervals

Results

581.0ms	8699×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid