Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

285×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
22	4837
21	4533
20	4220
19	3915
18	3605
17	3272
16	2914
15	2509
14	2029
13	1698
12	1246
11	750
10	447
9	347
8	287
7	262
6	225
5	152
4	94
3	57
2	36
1	20
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.5b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

29.0ms	(/ (- z t) (- a t))
0.0ms	(fma (/ (- z t) (- a t)) y x)

series148.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- z t) (- a t))
93.0ms	(fma (/ (- z t) (- a t)) y x)

simplify1.5s

Counts

70 → 70

Iterations

Iter	Nodes
done	5000
3	2056
2	652
1	264
0	113

prune375.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.8b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
0.6b	(cbrt (- a t))
1.5b	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))) y x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
3.0ms	(cbrt (- a t))
0.0ms	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))) y x)

series752.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt (- a t))
185.0ms	(cbrt (- a t))
159.0ms	(cbrt (- a t))
248.0ms	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))) y x)

simplify1.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
3	1186
2	428
1	195
0	94

prune613.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.8b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ (- z t) (- a t)) y x)) (cbrt (fma (/ (- z t) (- a t)) y x)))
1.5b	(fma (/ (- z t) (- a t)) y x)
1.5b	(fma (/ (- z t) (- a t)) y x)
1.5b	(fma (/ (- z t) (- a t)) y x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
6×	`pow1/3` `swap-sqr` `associate-r` `associate-l` `add-exp-log`
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:

11.0ms	(* (cbrt (fma (/ (- z t) (- a t)) y x)) (cbrt (fma (/ (- z t) (- a t)) y x)))
0.0ms	(fma (/ (- z t) (- a t)) y x)
0.0ms	(fma (/ (- z t) (- a t)) y x)
0.0ms	(fma (/ (- z t) (- a t)) y x)

series1.7s

Counts

4 → 12

Calls

4 calls:

1.3s	(* (cbrt (fma (/ (- z t) (- a t)) y x)) (cbrt (fma (/ (- z t) (- a t)) y x)))
108.0ms	(fma (/ (- z t) (- a t)) y x)
107.0ms	(fma (/ (- z t) (- a t)) y x)
115.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
4	4705
3	1176
2	457
1	194
0	91

prune667.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.8b

localize68.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (/ (- z t) (- a t)) y x)
1.5b	(fma (/ (- z t) (- a t)) y x)
1.5b	(fma (/ (- z t) (- a t)) y x)
1.5b	(fma (/ (- z t) (- a t)) y x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

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

series404.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(fma (/ (- z t) (- a t)) y x)
113.0ms	(fma (/ (- z t) (- a t)) y x)
92.0ms	(fma (/ (- z t) (- a t)) y x)
82.0ms	(fma (/ (- z t) (- a t)) y x)

simplify2.8s

Counts

52 → 52

Iterations

Iter	Nodes
done	5000
5	4939
4	846
3	216
2	83
1	42
0	23

prune436.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.8b

regimes704.0ms

Accuracy

0% (0.6b remaining)

Error of 1.3b against oracle of 0.7b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	9
0	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

480.0ms	8716×	body	80	valid
0.0ms	1×	body	640	valid