Details

sample47.0ms

Algorithm

intervals

Results

26.0ms

335×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	25	9
3	45	9
4	84	9
5	112	9
6	130	9
7	147	9
8	188	9
9	245	9
10	274	9
11	307	9
12	343	9
13	368	9
14	384	9
15	471	9
16	562	9
17	811	9
18	1138	9
19	1573	9
20	1655	9
21	1656	9
done	1656	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
8.2b	(/ (* y (- z x)) t)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `div-exp` `prod-exp` `flip--` `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` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 61

Calls

3 calls:

18.0ms	(+ x (/ (* y (- z x)) t))
40.0ms	(* y (- z x))
32.0ms	(/ (* y (- z x)) t)

series162.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(+ x (/ (* y (- z x)) t))
39.0ms	(* y (- z x))
67.0ms	(/ (* y (- z x)) t)

simplify3.0s

Counts

70 → 70

Iterations

Useful iterations: 2 (134.0ms)

Iter	Nodes	Cost
0	113	722
1	290	679
2	894	589
3	4328	589
done	5000	589

prune207.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z x) t)
0.0b	(+ x (* y (/ (- z x) t)))
5.7b	(* y (/ (- z x) t))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 87

Calls

3 calls:

25.0ms	(/ (- z x) t)
6.0ms	(+ x (* y (/ (- z x) t)))
34.0ms	(* y (/ (- z x) t))

series148.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ (- z x) t)
42.0ms	(+ x (* y (/ (- z x) t)))
70.0ms	(* y (/ (- z x) t))

simplify2.6s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	137	1051
1	338	980
2	987	914
3	3788	890
done	5000	890

prune322.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))
1.1b	(* y (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

6.0ms	(cbrt (- z x))
6.0ms	(cbrt (- z x))
5.0ms	(cbrt (- z x))
76.0ms	(* y (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))

series983.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(cbrt (- z x))
200.0ms	(cbrt (- z x))
246.0ms	(cbrt (- z x))
292.0ms	(* y (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))

simplify1.8s

Counts

87 → 87

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	167	1321
1	418	1274
2	1371	1072
done	5000	1010

prune424.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z x))
1.6b	(cbrt (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))
1.6b	(cbrt (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))
1.6b	(cbrt (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt`
5×	`cbrt-div`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`times-frac` `div-inv`
1×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 57

Calls

4 calls:

4.0ms	(cbrt (- z x))
22.0ms	(cbrt (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))
17.0ms	(cbrt (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))
22.0ms	(cbrt (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))

series1.5s

Counts

4 → 12

Calls

4 calls:

208.0ms	(cbrt (- z x))
409.0ms	(cbrt (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))
461.0ms	(cbrt (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))
439.0ms	(cbrt (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))))

simplify2.9s

Counts

69 → 69

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	134	1422
1	289	1388
2	609	1206
3	1422	1164
4	4017	1109
done	5000	1094

prune367.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	62
1	21	62
done	21	62

end0.0ms

sample1.4s

Algorithm

intervals

Results

918.0ms

10627×

body

valid