Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

352×

body

valid

simplify9.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	8	9
1	15	8
2	33	8
3	63	8
4	102	8
5	142	8
6	175	8
7	213	8
8	282	8
9	367	8
10	462	8
11	520	8
12	570	8
13	613	8
14	635	8
15	673	8
16	802	8
17	940	8
18	1253	8
19	1744	8
20	2349	8
21	2520	8
22	2528	8
done	2528	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.5b	(* (/ x y) (- z t))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

25.0ms	(+ (* (/ x y) (- z t)) t)
52.0ms	(* (/ x y) (- z t))

series129.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(+ (* (/ x y) (- z t)) t)
78.0ms	(* (/ x y) (- z t))

simplify1.3s

Counts

104 → 104

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	178	1645
1	451	1317
2	1231	1118
done	5000	1088

prune348.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
36×	`prod-diff`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod` `frac-times` `associate-*r/`
5×	`associate-l`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 142

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
147.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series806.0ms

Counts

4 → 12

Calls

4 calls:

251.0ms	(cbrt x)
260.0ms	(cbrt x)
206.0ms	(cbrt x)
88.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify2.1s

Counts

154 → 154

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	270	4510
1	808	4114
2	3284	2164
done	5000	1453

prune349.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* (/ x y) (- z t)) (* (/ x y) (+ (- t) t))) t)
1.0b	(* (/ x y) (+ (- t) t))
7.5b	(* (/ x y) (- z t))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
36×	`add-cube-cbrt`
26×	`associate-l`
20×	`times-frac`
18×	`associate-r` `prod-diff`
13×	`add-exp-log` `add-cbrt-cube`
12×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-log-exp`
7×	`pow1`
6×	`distribute-lft-out`
4×	`distribute-lft-neg-in` `frac-times` `distribute-rgt-out` `fma-def` `associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `distribute-rgt-neg-in` `flip3-+` `sum-log` `flip-+` `log1p-expm1-u`
2×	`cbrt-undiv` `neg-mul-1` `sub-neg` `flip3--` `distribute-lft1-in` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `flip--` `div-inv`
1×	`+-commutative` `associate-+l+` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 132

Calls

3 calls:

136.0ms	(+ (+ (* (/ x y) (- z t)) (* (/ x y) (+ (- t) t))) t)
77.0ms	(* (/ x y) (+ (- t) t))
47.0ms	(* (/ x y) (- z t))

series127.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (+ (* (/ x y) (- z t)) (* (/ x y) (+ (- t) t))) t)
2.0ms	(* (/ x y) (+ (- t) t))
80.0ms	(* (/ x y) (- z t))

simplify3.6s

Counts

141 → 141

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	239	2063
1	715	1774
2	2504	1432
done	5001	1058

prune418.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* (/ 1 1) (/ (- z t) (/ y x))) (* (/ x y) (+ (- t) t))) t)
1.0b	(* (/ x y) (+ (- t) t))
7.9b	(/ (- z t) (/ y x))

rewrite300.0ms

Algorithm

rewrite-expression-head

Rules

129×	`times-frac`
106×	`*-un-lft-identity`
105×	`add-sqr-sqrt`
72×	`add-cube-cbrt`
14×	`distribute-lft-out--` `difference-of-squares`
13×	`add-exp-log` `associate-r` `associate-l` `associate-/r*` `add-cbrt-cube`
8×	`div-inv` `add-log-exp`
5×	`pow1` `distribute-lft-out` `associate-/l*`
4×	`cbrt-undiv` `distribute-lft-neg-in` `distribute-rgt-out` `div-exp`
3×	`expm1-log1p-u` `fma-def` `distribute-rgt-neg-in` `flip3-+` `sum-log` `flip-+` `log1p-expm1-u`
2×	`frac-times` `neg-mul-1` `distribute-lft1-in` `associate-*r/` `prod-exp` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `flip3--` `frac-2neg` `distribute-lft-in` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `associate-/r/` `-commutative` `flip--`

Counts

3 → 172

Calls

3 calls:

183.0ms	(+ (+ (* (/ 1 1) (/ (- z t) (/ y x))) (* (/ x y) (+ (- t) t))) t)
65.0ms	(* (/ x y) (+ (- t) t))
43.0ms	(/ (- z t) (/ y x))

series101.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(+ (+ (* (/ 1 1) (/ (- z t) (/ y x))) (* (/ x y) (+ (- t) t))) t)
2.0ms	(* (/ x y) (+ (- t) t))
56.0ms	(/ (- z t) (/ y x))

simplify3.2s

Counts

181 → 181

Iterations

Useful iterations: done (3.2s)

Iter	Nodes	Cost
0	313	2772
1	949	2573
2	3110	2284
done	5000	1968

prune610.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes172.0ms

Accuracy

18.1% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.1b

bsearch61.0ms

Steps

Iters	Range		Point
8	-4.1999742551769565e-74	-8.314098715522683e-79	-4.091870269310474e-74

simplify7.0ms

Iterations

Useful iterations: done (6.0ms)

Iter	Nodes	Cost
0	28	49
1	38	47
done	38	45

end0.0ms

sample1.4s

Algorithm

intervals

Results

785.0ms

10700×

body

valid