Details

sample48.0ms

Algorithm

intervals

Results

19.0ms

329×

body

valid

simplify5.3s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
8.4b	(/ (* y (- z x)) t)

rewrite75.0ms

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:

31.0ms	(* y (- z x))
15.0ms	(+ x (/ (* y (- z x)) t))
26.0ms	(/ (* y (- z x)) t)

series162.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* y (- z x))
47.0ms	(+ x (/ (* y (- z x)) t))
75.0ms	(/ (* y (- z x)) t)

simplify2.8s

Counts

70 → 70

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	113	722
1	290	679
2	893	589
3	4319	589
done	5000	589

prune239.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(* (cbrt t) (cbrt t))
4.7b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

69×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
40×	`times-frac` `associate-r`
39×	`cbrt-prod`
33×	`add-cube-cbrt`
27×	`add-exp-log`
18×	`add-cbrt-cube`
13×	`pow1` `associate-l`
10×	`unswap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1/3`
7×	`cbrt-undiv` `div-exp`
6×	`swap-sqr` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`pow-prod-down`
2×	`pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/`

Counts

4 → 133

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
12.0ms	(* (cbrt t) (cbrt t))
92.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series1.2s

Counts

4 → 12

Calls

4 calls:

365.0ms	(cbrt t)
333.0ms	(cbrt t)
360.0ms	(* (cbrt t) (cbrt t))
132.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify1.4s

Counts

145 → 145

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	193	1841
1	520	1516
2	2333	1330
done	5000	1237

prune573.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- z x))
0.0b	(+ x (/ y (/ t (- z x))))
6.7b	(/ y (/ t (- z x)))

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
105×	`*-un-lft-identity`
103×	`add-sqr-sqrt`
71×	`add-cube-cbrt`
26×	`associate-/r*`
16×	`distribute-lft-out--` `difference-of-squares`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 151

Calls

3 calls:

20.0ms	(/ t (- z x))
55.0ms	(+ x (/ y (/ t (- z x))))
34.0ms	(/ y (/ t (- z x)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ t (- z x))
53.0ms	(+ x (/ y (/ t (- z x))))
76.0ms	(/ y (/ t (- z x)))

simplify1.4s

Counts

160 → 160

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	242	2291
1	526	2136
2	1792	2056
done	5001	2026

prune561.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ y t) (- z x)))
7.9b	(* (/ y t) (- z x))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

16.0ms	(+ x (* (/ y t) (- z x)))
63.0ms	(* (/ y t) (- z x))

series174.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ x (* (/ y t) (- z x)))
114.0ms	(* (/ y t) (- z x))

simplify2.9s

Counts

63 → 63

Iterations

Useful iterations: 2 (170.0ms)

Iter	Nodes	Cost
0	120	723
1	313	691
2	1019	619
3	3953	619
done	5000	619

prune157.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes133.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	9	9
done	9	9

end0.0ms

sample1.7s

Algorithm

intervals

Results

990.0ms

10652×

body

valid