Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	280×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	3320
9	1009
8	523
7	380
6	312
5	207
4	122
3	67
2	39
1	22
0	13

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a 120.0 (/ (* 60.0 (- x y)) (- z t)))
0.0b	(* 60.0 (- x y))
0.5b	(/ (* 60.0 (- x y)) (- z t))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `times-frac` `associate-r*`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `log1p-expm1-u` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`clear-num` `frac-2neg` `pow-prod-down` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

0.0ms	(fma a 120.0 (/ (* 60.0 (- x y)) (- z t)))
38.0ms	(* 60.0 (- x y))
24.0ms	(/ (* 60.0 (- x y)) (- z t))

series280.0ms

Counts

3 → 9

Calls

3 calls:

128.0ms	(fma a 120.0 (/ (* 60.0 (- x y)) (- z t)))
57.0ms	(* 60.0 (- x y))
95.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1844
1	442
0	181

prune620.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma a 120.0 (* 60.0 (/ (- x y) (- z t))))
0.0b	(/ (- x y) (- z t))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r` `associate-/l`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative` `fma-udef`

Counts

3 → 116

Calls

3 calls:

0.0ms	(fma a 120.0 (* 60.0 (/ (- x y) (- z t))))
37.0ms	(/ (- x y) (- z t))
74.0ms	(* 60.0 (/ (- x y) (- z t)))

series615.0ms

Counts

3 → 9

Calls

3 calls:

429.0ms	(fma a 120.0 (* 60.0 (/ (- x y) (- z t))))
70.0ms	(/ (- x y) (- z t))
116.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.3s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1619
1	420
0	165

prune756.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(fma a 120.0 (/ 60.0 (/ (- z t) (- x y))))
0.7b	(/ 60.0 (/ (- z t) (- x y)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
6×	`flip3--` `div-inv` `flip--`
4×	`cbrt-undiv` `div-exp`
3×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

32.0ms	(/ (- z t) (- x y))
0.0ms	(fma a 120.0 (/ 60.0 (/ (- z t) (- x y))))
21.0ms	(/ 60.0 (/ (- z t) (- x y)))

series650.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(/ (- z t) (- x y))
152.0ms	(fma a 120.0 (/ 60.0 (/ (- z t) (- x y))))
423.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify1.8s

Counts

217 → 217

Iterations

Iter	Nodes
done	5001
2	3932
1	777
0	295

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a 120.0 (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))))
0.0b	(/ (- x y) (- z t))
0.3b	(* (sqrt 60.0) (/ (- x y) (- z t)))
0.3b	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

85×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
52×	`times-frac`
32×	`associate-r`
31×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
20×	`add-cbrt-cube` `add-exp-log`
12×	`associate-l`
11×	`pow1`
8×	`sqrt-prod`
7×	`prod-exp` `cbrt-unprod`
5×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `flip3--` `div-exp` `associate-*r/` `flip--`
2×	`*-commutative` `div-inv` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `fma-udef`

Counts

4 → 147

Calls

4 calls:

0.0ms	(fma a 120.0 (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))))
19.0ms	(/ (- x y) (- z t))
72.0ms	(* (sqrt 60.0) (/ (- x y) (- z t)))
79.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))

series917.0ms

Counts

4 → 12

Calls

4 calls:

358.0ms	(fma a 120.0 (* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t)))))
98.0ms	(/ (- x y) (- z t))
204.0ms	(* (sqrt 60.0) (/ (- x y) (- z t)))
257.0ms	(* (sqrt 60.0) (* (sqrt 60.0) (/ (- x y) (- z t))))

simplify1.9s

Counts

159 → 159

Iterations

Iter	Nodes
done	5001
2	2548
1	494
0	191

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes695.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	13
1	13
0	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

689.0ms	8545×	body	80	valid
43.0ms	19×	body	2560	valid
13.0ms	44×	body	1280	valid
8.0ms	34×	body	640	valid
4.0ms	19×	body	320	valid
1.0ms	7×	body	160	valid