Details

sample51.0ms

Algorithm

intervals

Results

21.0ms

338×

body

valid

simplify5.5s

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: 6.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
6.5b	(/ (* y (- z x)) t)

rewrite104.0ms

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:

42.0ms	(* y (- z x))
19.0ms	(+ x (/ (* y (- z x)) t))
41.0ms	(/ (* y (- z x)) t)

series172.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* y (- z x))
46.0ms	(+ x (/ (* y (- z x)) t))
84.0ms	(/ (* y (- z x)) t)

simplify3.0s

Counts

70 → 70

Iterations

Useful iterations: 2 (122.0ms)

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

prune227.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.9b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
115.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series1.0s

Counts

4 → 12

Calls

4 calls:

284.0ms	(cbrt t)
296.0ms	(cbrt t)
278.0ms	(cbrt t)
142.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify1.5s

Counts

116 → 116

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	161	1577
1	459	1499
2	1984	1153
done	5000	1056

prune459.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))
4.9b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-exp-log`
38×	`add-cbrt-cube`
27×	`cbrt-prod`
25×	`prod-exp` `cbrt-unprod`
20×	`add-sqr-sqrt`
17×	`cbrt-undiv` `div-exp`
16×	`*-un-lft-identity`
14×	`add-cube-cbrt`
9×	`times-frac` `associate-r`
7×	`associate-l`
6×	`pow1`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv` `unswap-sqr`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

1.0ms	(cbrt (cbrt t))
1.0ms	(cbrt (cbrt t))
2.0ms	(cbrt (cbrt t))
212.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

353.0ms	(cbrt (cbrt t))
337.0ms	(cbrt (cbrt t))
368.0ms	(cbrt (cbrt t))
165.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))))

simplify1.8s

Counts

108 → 108

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	156	2123
1	423	2060
2	1937	1338
done	5000	896

prune427.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- z x))
0.0b	(+ x (pow (/ y (/ t (- z x))) 1))
5.2b	(/ y (/ t (- z x)))

rewrite184.0ms

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:

12.0ms	(/ t (- z x))
126.0ms	(+ x (pow (/ y (/ t (- z x))) 1))
39.0ms	(/ y (/ t (- z x)))

series167.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(/ t (- z x))
59.0ms	(+ x (pow (/ y (/ t (- z x))) 1))
67.0ms	(/ y (/ t (- z x)))

simplify1.3s

Counts

160 → 160

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	245	2329
1	532	2130
2	1843	2050
done	5001	2020

prune672.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

21.4% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.0b

bsearch105.0ms

Steps

Iters	Range		Point
5	1.3950597747657938e+38	4.358783427085017e+38	1.5041260182509618e+38
10	-3.384350581070553e-155	-2.643609716384419e-172	-4.58440620281283e-168

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	19	39
1	28	27
done	28	27

end0.0ms

sample1.6s

Algorithm

intervals

Results

934.0ms

10683×

body

valid