Details

sample26.0ms

Algorithm

intervals

Results

9.0ms

345×

body

valid

simplify42.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	69	4
3	148	4
4	238	4
5	364	4
6	518	4
7	638	4
8	740	4
9	813	4
10	842	4
11	842	4
done	842	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-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×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

8.0ms	(- x (/ (* y (- z t)) a))
23.0ms	(* y (- z t))
15.0ms	(/ (* y (- z t)) a)

series143.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- x (/ (* y (- z t)) a))
40.0ms	(* y (- z t))
51.0ms	(/ (* y (- z t)) a)

simplify37.0ms

Counts

72 → 72

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	291	345
1	1204	306
2	5001	306
done	5001	306

prune144.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
0.6b	(cbrt a)
6.3b	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite64.0ms

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 a)
1.0ms	(cbrt a)
1.0ms	(cbrt a)
58.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series630.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt a)
177.0ms	(cbrt a)
184.0ms	(cbrt a)
92.0ms	(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify61.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	480	918
1	2615	741
2	5001	706
done	5001	706

prune328.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
2.4b	(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-sqr-sqrt`
94×	`times-frac`
85×	`add-exp-log`
77×	`cbrt-prod`
63×	`*-un-lft-identity`
51×	`add-cube-cbrt`
50×	`associate-l`
41×	`add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
35×	`associate-r`
26×	`cbrt-undiv` `div-exp`
15×	`unswap-sqr`
11×	`pow1`
6×	`frac-times` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `*-commutative`

Counts

4 → 189

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
63.0ms	(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
76.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

series661.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
181.0ms	(cbrt y)
242.0ms	(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
56.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt a)) (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))))

simplify102.0ms

Counts

201 → 201

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	892	2272
1	4033	1912
2	5002	1780
done	5002	1780

prune615.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
3.8b	(* (* (cbrt y) (cbrt y)) (/ (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))) (cbrt a)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-sqr-sqrt`
94×	`times-frac`
77×	`cbrt-prod`
72×	`add-exp-log`
63×	`*-un-lft-identity`
51×	`add-cube-cbrt`
44×	`associate-r`
41×	`associate-l`
32×	`add-cbrt-cube`
30×	`prod-exp` `cbrt-unprod`
22×	`cbrt-undiv` `div-exp`
16×	`unswap-sqr`
11×	`pow1`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`pow-prod-down` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `associate-r/` `-commutative`
1×	`frac-times` `associate-*l/`

Counts

4 → 178

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
63.0ms	(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
78.0ms	(* (* (cbrt y) (cbrt y)) (/ (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))) (cbrt a)))

series682.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt y)
189.0ms	(cbrt y)
246.0ms	(* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a)))
62.0ms	(* (* (cbrt y) (cbrt y)) (/ (* (/ (cbrt y) (cbrt a)) (/ (- z t) (cbrt a))) (cbrt a)))

simplify100.0ms

Counts

190 → 190

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	896	2082
1	4170	1781
2	5001	1729
done	5001	1729

prune636.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0b

regimes398.0ms

Accuracy

54.4% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.6b

bsearch64.0ms

Steps

Iters	Range		Point
5	1.3606245530563372e-127	4.113531426965663e-127	4.0188843002630235e-127
9	-15972117335248.346	-5519578.764678075	-12943396756.221924

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	8
1	22	8
done	22	8

end0.0ms

sample953.0ms

Algorithm

intervals

Results

498.0ms

10813×

body

valid