Details

sample47.0ms

Algorithm

intervals

Results

19.0ms

334×

body

valid

simplify6.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	164
1	14	164
2	31	164
3	55	164
4	87	164
5	111	164
6	132	164
7	161	164
8	252	164
9	507	164
10	1313	164
11	3881	164
done	5001	164

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

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-+l+` `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:

25.0ms	(+ (* (/ x y) (- z t)) t)
44.0ms	(* (/ x y) (- z t))

series126.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(+ (* (/ x y) (- z t)) t)
76.0ms	(* (/ x y) (- z t))

simplify3.4s

Counts

63 → 63

Iterations

Useful iterations: 2 (253.0ms)

Iter	Nodes	Cost
0	122	14778
1	328	13553
2	1044	13112
3	4231	13112
done	5002	13112

prune430.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(cbrt y)
2.6b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))
3.2b	(* (/ x (cbrt y)) (- z t))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
46×	`prod-exp`
35×	`add-cbrt-cube`
32×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `cbrt-unprod`
16×	`cbrt-prod`
11×	`frac-times` `pow1` `associate-*r/`
10×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in`
6×	`rec-exp` `sub-neg` `flip3--` `1-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 141

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
85.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))
31.0ms	(* (/ x (cbrt y)) (- z t))

series893.0ms

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt y)
257.0ms	(cbrt y)
122.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))
260.0ms	(* (/ x (cbrt y)) (- z t))

simplify3.1s

Counts

153 → 153

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	227	56624
1	685	49630
2	2493	46125
done	5002	45005

prune911.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x (- z t)) y) t)
0.0b	(* x (- z t))
5.8b	(/ (* x (- z t)) y)

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

30.0ms	(+ (/ (* x (- z t)) y) t)
25.0ms	(* x (- z t))
12.0ms	(/ (* x (- z t)) y)

series189.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(+ (/ (* x (- z t)) y) t)
47.0ms	(* x (- z t))
75.0ms	(/ (* x (- z t)) y)

simplify3.0s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	115	13747
1	304	12631
2	862	12351
3	3757	11711
done	5000	11711

prune331.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

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

Counts

3 → 87

Calls

3 calls:

15.0ms	(+ (* x (/ (- z t) y)) t)
29.0ms	(/ (- z t) y)
27.0ms	(* x (/ (- z t) y))

series153.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (* x (/ (- z t) y)) t)
32.0ms	(/ (- z t) y)
73.0ms	(* x (/ (- z t) y))

simplify1.6s

Counts

96 → 96

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	139	21047
1	362	19586
2	1138	19182
done	5001	19102

prune478.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes467.0ms

Accuracy

16.9% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.3b

bsearch81.0ms

Steps

Iters	Range		Point
5	2.0813431740414426e-41	4.4747709274711997e-41	2.1832170796405867e-41
10	-2.336821674903515e-102	-2.0157647525223543e-115	-3.848006757289779e-115

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	747
1	32	747
done	32	747

end0.0ms

sample1.1s

Algorithm

intervals

Results

551.0ms

10616×

body

valid