Details

sample38.0ms

Algorithm

intervals

Results

18.0ms

323×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	26	9
3	49	8
4	96	8
5	139	8
6	177	8
7	212	8
8	253	8
9	338	8
10	433	8
11	505	8
12	565	8
13	591	8
done	591	8

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 1 expressions with local error:

2.1b	(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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

1 → 10

Calls

1 calls:

0.0ms

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

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

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

simplify998.0ms

Counts

13 → 13

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	24	154
1	41	154
2	94	138
3	267	123
4	1175	123
done	5000	123

prune65.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

5.2b	(/ (- z t) (/ a y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

119×	`times-frac`
85×	`add-sqr-sqrt` `*-un-lft-identity`
57×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`associate-/r*`
7×	`div-inv`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`associate-/l/`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 103

Calls

1 calls:

23.0ms

(/ (- z t) (/ a y))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(/ (- z t) (/ a y))

simplify1.7s

Counts

106 → 106

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	197	1676
1	526	1560
2	1672	1498
done	5000	1496

prune424.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (/ (/ a y) (- z t)))
5.0b	(/ (/ a y) (- z t))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

772×	`times-frac`
458×	`add-sqr-sqrt` `*-un-lft-identity`
326×	`add-cube-cbrt`
76×	`associate-/r*`
66×	`distribute-lft-out--` `difference-of-squares`
32×	`div-inv`
28×	`add-exp-log`
18×	`div-exp`
16×	`add-cbrt-cube` `associate-/l*`
11×	`associate-/r/`
9×	`cbrt-undiv`
5×	`flip3--` `flip--`
3×	`pow1` `rec-exp` `1-exp`
2×	`expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

2 → 416

Calls

2 calls:

54.0ms	(/ 1 (/ (/ a y) (- z t)))
36.0ms	(/ (/ a y) (- z t))

series120.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/ 1 (/ (/ a y) (- z t)))
44.0ms	(/ (/ a y) (- z t))

simplify2.2s

Counts

422 → 422

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	560	8313
1	1302	7187
2	2834	6339
done	5000	6219

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
4.8b	(/ (/ (- z t) (* (cbrt a) (cbrt a))) (/ (cbrt a) y))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

493×	`times-frac`
229×	`add-sqr-sqrt` `*-un-lft-identity`
183×	`add-cube-cbrt`
99×	`cbrt-prod`
34×	`div-inv`
25×	`add-exp-log`
23×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
18×	`add-cbrt-cube`
13×	`cbrt-undiv` `div-exp`
9×	`associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-sub` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `clear-num` `associate-/r/` `associate-/l/`

Counts

4 → 295

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
59.0ms	(/ (/ (- z t) (* (cbrt a) (cbrt a))) (/ (cbrt a) y))

series983.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(cbrt a)
294.0ms	(cbrt a)
306.0ms	(cbrt a)
110.0ms	(/ (/ (- z t) (* (cbrt a) (cbrt a))) (/ (cbrt a) y))

simplify1.1s

Counts

307 → 307

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	455	7165
1	1291	6834
done	5000	6430

prune1.5s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes309.0ms

Accuracy

63.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.4b

bsearch140.0ms

Steps

Iters	Range		Point
10	5.561441069782057e+20	2.0509613983319575e+37	3.016889210368409e+33
8	-3.8178828777837515e+43	-4.928487010790596e+40	-2.692388441958567e+41

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	46
1	33	46
done	33	46

end0.0ms

sample1.4s

Algorithm

intervals

Results

608.0ms

10654×

body

valid