Details

sample39.0ms

Algorithm

intervals

Results

16.0ms

279×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	35	11
3	56	11
4	96	11
5	157	11
6	231	11
7	263	11
8	335	11
9	473	11
10	799	11
11	2276	11
done	5000	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
3.6b	(* y (/ (- z t) (- z a)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

14.0ms	(+ x (* y (/ (- z t) (- z a))))
25.0ms	(/ (- z t) (- z a))
56.0ms	(* y (/ (- z t) (- z a)))

series253.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+ x (* y (/ (- z t) (- z a))))
60.0ms	(/ (- z t) (- z a))
91.0ms	(* y (/ (- z t) (- z a)))

simplify1.0s

Counts

122 → 122

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	162	1555
1	448	1466
2	1785	1374
done	5000	1368

prune354.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.6b	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
18×	`add-sqr-sqrt` `cbrt-div`
15×	`cbrt-prod` `*-un-lft-identity`
14×	`add-cbrt-cube`
13×	`associate-r`
9×	`add-cube-cbrt` `flip3--` `prod-exp` `flip--` `cbrt-unprod`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `frac-times` `div-exp` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
2×	`times-frac` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 83

Calls

4 calls:

7.0ms	(cbrt (- z a))
4.0ms	(cbrt (- z a))
6.0ms	(cbrt (- z a))
128.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))))

series763.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt (- z a))
194.0ms	(cbrt (- z a))
194.0ms	(cbrt (- z a))
190.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))))

simplify1.1s

Counts

95 → 95

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	164	1627
1	446	1574
2	1788	1342
done	5001	1282

prune518.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
24×	`cbrt-div`
22×	`add-exp-log`
21×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
14×	`add-cbrt-cube`
13×	`associate-r`
12×	`add-cube-cbrt`
9×	`flip3--` `prod-exp` `flip--` `cbrt-unprod`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `frac-times` `div-exp` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
2×	`times-frac` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 92

Calls

4 calls:

5.0ms	(cbrt (cbrt (- z a)))
5.0ms	(cbrt (cbrt (- z a)))
5.0ms	(cbrt (cbrt (- z a)))
150.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))))

series799.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(cbrt (cbrt (- z a)))
197.0ms	(cbrt (cbrt (- z a)))
213.0ms	(cbrt (cbrt (- z a)))
184.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- z a)) (cbrt (- z a)))))

simplify941.0ms

Counts

104 → 104

Iterations

Useful iterations: done (937.0ms)

Iter	Nodes	Cost
0	182	1810
1	469	1748
2	1830	1510
done	5000	1459

prune648.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
0.0b	(+ x (/ (* (- z t) y) (- z a)))
9.2b	(/ (* (- z t) y) (- z a))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

35.0ms	(* (- z t) y)
21.0ms	(+ x (/ (* (- z t) y) (- z a)))
28.0ms	(/ (* (- z t) y) (- z a))

series228.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (- z t) y)
102.0ms	(+ x (/ (* (- z t) y) (- z a)))
84.0ms	(/ (* (- z t) y) (- z a))

simplify1.5s

Counts

72 → 72

Iterations

Useful iterations: 2 (240.0ms)

Iter	Nodes	Cost
0	124	812
1	337	763
2	1685	685
done	5001	685

prune202.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	33
1	19	33
done	19	33

end0.0ms

sample1.3s

Algorithm

intervals

Results

742.0ms	8740×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid