Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	275×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

simplify965.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	39	12
3	66	12
4	108	12
5	157	12
6	213	12
7	261	12
8	323	12
9	422	12
10	542	12
11	612	12
12	700	12
13	728	12
done	728	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.0b	(* 60.0 (- x y))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite34.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `times-frac` `associate-r` `associate-/r*`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `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×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
16.0ms	(* 60.0 (- x y))
14.0ms	(/ (* 60.0 (- x y)) (- z t))

series200.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
37.0ms	(* 60.0 (- x y))
66.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify2.3s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	180	1315
1	387	1126
2	1123	934
3	4828	892
done	5000	892

prune236.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (/ (+ (* x 60.0) (* (- y) 60.0)) (- z t)))
0.0b	(+ (* x 60.0) (* (- y) 60.0))
0.2b	(/ (+ (* x 60.0) (* (- y) 60.0)) (- z t))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`times-frac`
14×	`add-cube-cbrt`
7×	`distribute-rgt-out`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`distribute-lft-neg-out` `associate-/l*`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`flip3-+` `div-sub` `unsub-neg` `associate-/r/` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `flip3--` `fma-def` `frac-2neg` `div-exp` `clear-num` `sum-log` `flip--` `fma-udef` `div-inv`

Counts

3 → 76

Calls

3 calls:

0.0ms	(fma 120.0 a (/ (+ (* x 60.0) (* (- y) 60.0)) (- z t)))
3.0ms	(+ (* x 60.0) (* (- y) 60.0))
13.0ms	(/ (+ (* x 60.0) (* (- y) 60.0)) (- z t))

series216.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(fma 120.0 a (/ (+ (* x 60.0) (* (- y) 60.0)) (- z t)))
39.0ms	(+ (* x 60.0) (* (- y) 60.0))
75.0ms	(/ (+ (* x 60.0) (* (- y) 60.0)) (- z t))

simplify1.9s

Counts

85 → 85

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	133	1384
1	304	1077
2	1000	998
3	4050	991
done	5001	989

prune248.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 120.0 a (- (/ (* x 60.0) (- z t)) (/ (* y 60.0) (- z t))))
0.0b	(- (/ (* x 60.0) (- z t)) (/ (* y 60.0) (- z t)))
0.2b	(/ (* y 60.0) (- z t))
0.2b	(/ (* x 60.0) (- z t))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

139×	`times-frac`
122×	`*-un-lft-identity`
121×	`prod-diff`
116×	`add-sqr-sqrt`
56×	`add-cube-cbrt`
54×	`associate-/r/`
32×	`distribute-lft-out--`
30×	`difference-of-squares`
28×	`flip3--` `flip--`
27×	`div-inv`
14×	`add-exp-log` `add-cbrt-cube`
11×	`fma-neg`
10×	`distribute-rgt-out--` `associate-/r*`
6×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 228

Calls

4 calls:

0.0ms	(fma 120.0 a (- (/ (* x 60.0) (- z t)) (/ (* y 60.0) (- z t))))
47.0ms	(- (/ (* x 60.0) (- z t)) (/ (* y 60.0) (- z t)))
7.0ms	(/ (* y 60.0) (- z t))
7.0ms	(/ (* x 60.0) (- z t))

series348.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(fma 120.0 a (- (/ (* x 60.0) (- z t)) (/ (* y 60.0) (- z t))))
157.0ms	(- (/ (* x 60.0) (- z t)) (/ (* y 60.0) (- z t)))
35.0ms	(/ (* y 60.0) (- z t))
36.0ms	(/ (* x 60.0) (- z t))

simplify921.0ms

Counts

240 → 240

Iterations

Useful iterations: done (909.0ms)

Iter	Nodes	Cost
0	299	8936
1	699	7611
2	2194	6288
done	5001	6266

prune594.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 120.0 a (- (* x (/ 60.0 (- z t))) (/ (* y 60.0) (- z t))))
0.0b	(- (* x (/ 60.0 (- z t))) (/ (* y 60.0) (- z t)))
0.2b	(/ (* y 60.0) (- z t))
0.2b	(* x (/ 60.0 (- z t)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

0.0ms	(fma 120.0 a (- (* x (/ 60.0 (- z t))) (/ (* y 60.0) (- z t))))
14.0ms	(- (* x (/ 60.0 (- z t))) (/ (* y 60.0) (- z t)))
7.0ms	(/ (* y 60.0) (- z t))
20.0ms	(* x (/ 60.0 (- z t)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(fma 120.0 a (- (* x (/ 60.0 (- z t))) (/ (* y 60.0) (- z t))))
141.0ms	(- (* x (/ 60.0 (- z t))) (/ (* y 60.0) (- z t)))
37.0ms	(/ (* y 60.0) (- z t))
37.0ms	(* x (/ 60.0 (- z t)))

simplify919.0ms

Counts

123 → 123

Iterations

Useful iterations: 2 (290.0ms)

Iter	Nodes	Cost
0	233	1980
1	590	1787
2	1920	1376
done	5001	1376

prune354.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	18
1	16	18
done	16	18

end0.0ms

sample581.0ms

Algorithm

intervals

Results

299.0ms	8544×	body	80	valid
11.0ms	46×	body	1280	valid
4.0ms	21×	body	2560	valid
4.0ms	31×	body	640	valid
3.0ms	24×	body	320	valid
1.0ms	11×	body	160	valid