Details

sample47.0ms

Algorithm

intervals

Results

18.0ms

358×

body

valid

simplify746.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	1395
5	376
4	161
3	69
2	32
1	16
0	9

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ y a) (- t z)))
5.2b	(* (/ y a) (- t z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ x (* (/ y a) (- t z)))
35.0ms	(* (/ y a) (- t z))

series129.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(+ x (* (/ y a) (- t z)))
71.0ms	(* (/ y a) (- t z))

simplify641.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	5001
2	1454
1	329
0	123

prune315.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (/ t (/ a y)) (* (/ y a) (- z))))
0.0b	(+ (/ t (/ a y)) (* (/ y a) (- z)))
3.9b	(* (/ y a) (- z))
4.7b	(/ t (/ a y))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
61×	`add-sqr-sqrt`
58×	`*-un-lft-identity`
56×	`add-cube-cbrt`
14×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r` `associate-l*`
11×	`add-log-exp`
10×	`associate-r`
6×	`pow1` `div-inv`
5×	`distribute-rgt-neg-out`
4×	`cbrt-undiv` `sum-log` `div-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/l*`
2×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+r+` `clear-num` `neg-mul-1` `frac-2neg` `pow-prod-down` `frac-add` `associate-/r/` `*-commutative` `distribute-lft-out`

Counts

4 → 140

Calls

4 calls:

83.0ms	(+ x (+ (/ t (/ a y)) (* (/ y a) (- z))))
33.0ms	(+ (/ t (/ a y)) (* (/ y a) (- z)))
15.0ms	(* (/ y a) (- z))
7.0ms	(/ t (/ a y))

series171.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ x (+ (/ t (/ a y)) (* (/ y a) (- z))))
47.0ms	(+ (/ t (/ a y)) (* (/ y a) (- z)))
26.0ms	(* (/ y a) (- z))
23.0ms	(/ t (/ a y))

simplify1.4s

Counts

152 → 152

Iterations

Iter	Nodes
done	5000
2	3492
1	748
0	267

prune929.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (+ (/ t (/ a y)) (* y (/ (- z) a))))
0.0b	(+ (/ t (/ a y)) (* y (/ (- z) a)))
4.7b	(* y (/ (- z) a))
4.7b	(/ t (/ a y))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

106×	`times-frac`
72×	`add-sqr-sqrt`
69×	`*-un-lft-identity`
67×	`add-cube-cbrt`
34×	`associate-r`
14×	`add-cbrt-cube` `add-exp-log`
13×	`associate-/r*`
11×	`add-log-exp`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
6×	`pow1` `div-inv`
5×	`distribute-frac-neg` `distribute-rgt-neg-out`
4×	`cbrt-undiv` `sum-log` `div-exp`
3×	`neg-mul-1` `associate-l` `associate-/l*`
2×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `prod-exp` `associate-*r/` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`associate-+r+` `clear-num` `frac-2neg` `pow-prod-down` `frac-add` `associate-/r/` `*-commutative` `distribute-lft-out`

Counts

4 → 154

Calls

4 calls:

69.0ms	(+ x (+ (/ t (/ a y)) (* y (/ (- z) a))))
40.0ms	(+ (/ t (/ a y)) (* y (/ (- z) a)))
28.0ms	(* y (/ (- z) a))
11.0ms	(/ t (/ a y))

series177.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(+ x (+ (/ t (/ a y)) (* y (/ (- z) a))))
63.0ms	(+ (/ t (/ a y)) (* y (/ (- z) a)))
25.0ms	(* y (/ (- z) a))
24.0ms	(/ t (/ a y))

simplify1.2s

Counts

166 → 166

Iterations

Iter	Nodes
done	5000
2	3840
1	842
0	299

prune864.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (/ 1 1) (/ y (/ a (- t z)))))
0.0b	(/ a (- t z))
6.1b	(/ y (/ a (- t z)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 150

Calls

3 calls:

4.0ms	(+ x (* (/ 1 1) (/ y (/ a (- t z)))))
9.0ms	(/ a (- t z))
18.0ms	(/ y (/ a (- t z)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ x (* (/ 1 1) (/ y (/ a (- t z)))))
32.0ms	(/ a (- t z))
60.0ms	(/ y (/ a (- t z)))

simplify1.1s

Counts

159 → 159

Iterations

Iter	Nodes
done	5000
2	3169
1	644
0	248

prune934.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes405.0ms

Accuracy

67.9% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.4b

bsearch155.0ms

Steps

Iters	Range		Point
3	2.150177207772205e+52	2.915474134638951e+52	2.1817285828252516e+52
8	3.3207391809551394e-143	1.3865205033157676e-139	2.3996719980727017e-142
9	-3.27334652413423e-10	-2.567166085843448e-19	-1.5982814066709494e-10

simplify5.0ms

Iterations

Iter	Nodes
done	48
2	48
1	43
0	33

end0.0ms

sample1.4s

Algorithm

intervals

Results

526.0ms

10743×

body

valid