Details

sample45.0ms

Algorithm

intervals

Results

22.0ms

278×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	103	10
5	163	10
6	214	10
7	241	10
8	280	10
9	321	10
10	406	10
11	504	10
12	572	10
13	636	10
14	664	10
done	664	10

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.5b	(* y (/ (- z t) (- z a)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

30.0ms	(/ (- z t) (- z a))
61.0ms	(* y (/ (- z t) (- z a)))

series202.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(/ (- z t) (- z a))
124.0ms	(* y (/ (- z t) (- z a)))

simplify2.0s

Counts

112 → 112

Iterations

Useful iterations: 2 (263.0ms)

Iter	Nodes	Cost
0	142	1355
1	354	1282
2	966	1200
3	2928	1200
done	5000	1200

prune362.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
2.5b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 333

Calls

3 calls:

46.0ms	(/ (- z a) (- z t))
47.0ms	(/ 1 (/ (- z a) (- z t)))
100.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series392.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(/ (- z a) (- z t))
142.0ms	(/ 1 (/ (- z a) (- z t)))
189.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify1.9s

Counts

342 → 342

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	354	5494
1	860	4443
2	1819	4058
done	5000	3982

prune878.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.9b	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ (- z a) (- z t))))
1.5b	(/ (cbrt y) (/ (- z a) (- z t)))

rewrite304.0ms

Algorithm

rewrite-expression-head

Rules

703×	`times-frac`
547×	`add-sqr-sqrt`
536×	`*-un-lft-identity`
276×	`add-cube-cbrt`
197×	`cbrt-prod`
191×	`associate-r`
130×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
30×	`add-exp-log`
28×	`associate-/r/`
18×	`add-cbrt-cube`
15×	`div-inv`
13×	`flip3--` `flip--`
9×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down`
2×	`pow1/3`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 488

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
173.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ (- z a) (- z t))))
56.0ms	(/ (cbrt y) (/ (- z a) (- z t)))

series1.3s

Counts

4 → 12

Calls

4 calls:

283.0ms	(cbrt y)
292.0ms	(cbrt y)
211.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (/ (- z a) (- z t))))
559.0ms	(/ (cbrt y) (/ (- z a) (- z t)))

simplify1.0s

Counts

500 → 500

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	524	10041
1	1489	9231
done	5000	8899

prune1.7s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
10.7b	(* (- z t) (/ y (- z a)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-l` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 87

Calls

2 calls:

25.0ms	(/ y (- z a))
57.0ms	(* (- z t) (/ y (- z a)))

series126.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(/ y (- z a))
83.0ms	(* (- z t) (/ y (- z a)))

simplify3.1s

Counts

93 → 93

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	134	1009
1	302	962
2	1115	888
3	4457	888
done	5000	888

prune355.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes342.0ms

Accuracy

0% (1.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.3s

Algorithm

intervals

Results

586.0ms	8699×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid