Details

sample41.0ms

Algorithm

intervals

Results

16.0ms

281×

body

valid

simplify4.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
21	4733
20	4431
19	4132
18	3790
17	3489
16	3146
15	2840
14	2378
13	1801
12	1283
11	859
10	585
9	413
8	338
7	257
6	204
5	146
4	95
3	52
2	30
1	17
0	10

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.2b	(fma (/ y (- a t)) (- z t) x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

11.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- z t) x)

series359.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ y (- a t))
302.0ms	(fma (/ y (- a t)) (- z t) x)

simplify1.5s

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
3	1234
2	443
1	173
0	92

prune445.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
0.6b	(/ 1 (/ (- a t) y))
3.2b	(fma (/ 1 (/ (- a t) y)) (- z t) x)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

132×	`times-frac`
101×	`add-sqr-sqrt` `*-un-lft-identity`
69×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-exp-log` `distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `fma-udef` `pow-flip` `flip--` `inv-pow`

Counts

3 → 152

Calls

3 calls:

19.0ms	(/ (- a t) y)
23.0ms	(/ 1 (/ (- a t) y))
1.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

series466.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ (- a t) y)
143.0ms	(/ 1 (/ (- a t) y))
265.0ms	(fma (/ 1 (/ (- a t) y)) (- z t) x)

simplify2.3s

Counts

161 → 161

Iterations

Iter	Nodes
done	5002
3	3207
2	1138
1	510
0	210

prune844.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

3.2b	(fma (/ 1 (* (* (cbrt (/ (- a t) y)) (cbrt (/ (- a t) y))) (cbrt (/ (- a t) y)))) (- z t) x)
16.2b	(cbrt (/ (- a t) y))
16.2b	(cbrt (/ (- a t) y))
16.2b	(cbrt (/ (- a t) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
49×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
31×	`add-cube-cbrt`
9×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`fma-udef`

Counts

4 → 100

Calls

4 calls:

0.0ms	(fma (/ 1 (* (* (cbrt (/ (- a t) y)) (cbrt (/ (- a t) y))) (cbrt (/ (- a t) y)))) (- z t) x)
5.0ms	(cbrt (/ (- a t) y))
8.0ms	(cbrt (/ (- a t) y))
9.0ms	(cbrt (/ (- a t) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

407.0ms	(fma (/ 1 (* (* (cbrt (/ (- a t) y)) (cbrt (/ (- a t) y))) (cbrt (/ (- a t) y)))) (- z t) x)
241.0ms	(cbrt (/ (- a t) y))
223.0ms	(cbrt (/ (- a t) y))
225.0ms	(cbrt (/ (- a t) y))

simplify2.1s

Counts

112 → 112

Iterations

Iter	Nodes
done	5001
3	1419
2	503
1	255
0	140

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) y)
11.3b	(/ (- z t) (/ (- a t) y))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
170×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3--` `div-sub` `log1p-expm1-u` `flip--` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 179

Calls

2 calls:

32.0ms	(/ (- a t) y)
45.0ms	(/ (- z t) (/ (- a t) y))

series170.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (- a t) y)
136.0ms	(/ (- z t) (/ (- a t) y))

simplify1.6s

Counts

185 → 185

Iterations

Iter	Nodes
done	5000
2	2174
1	790
0	251

prune1.1s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes435.0ms

Accuracy

0% (1.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample973.0ms

Algorithm

intervals

Results

531.0ms	8718×	body	80	valid
0.0ms	1×	body	1280	valid