Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	282×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

simplify771.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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	699	12
13	726	12
done	726	12

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

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))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite29.0ms

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)))
11.0ms	(* 60.0 (- x y))
14.0ms	(/ (* 60.0 (- x y)) (- z t))

series201.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
33.0ms	(* 60.0 (- x y))
69.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify2.1s

Counts

96 → 96

Iterations

Useful iterations: 3 (822.0ms)

Iter	Nodes	Cost
0	180	1315
1	387	1126
2	1123	934
3	4826	892
done	5000	892

prune254.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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

Counts

3 → 116

Calls

3 calls:

12.0ms	(/ (- x y) (- z t))
0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
24.0ms	(* 60.0 (/ (- x y) (- z t)))

series223.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (- x y) (- z t))
98.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
68.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.3s

Counts

125 → 125

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	164	1547
1	396	1472
2	1022	1362
3	3111	1362
done	5001	1360

prune368.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 60.0 (- z t))
0.0b	(fma 120.0 a (pow (* (- x y) (/ 60.0 (- z t))) 1))
0.2b	(* (- x y) (/ 60.0 (- z t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 97

Calls

3 calls:

5.0ms	(/ 60.0 (- z t))
0.0ms	(fma 120.0 a (pow (* (- x y) (/ 60.0 (- z t))) 1))
23.0ms	(* (- x y) (/ 60.0 (- z t)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ 60.0 (- z t))
97.0ms	(fma 120.0 a (pow (* (- x y) (/ 60.0 (- z t))) 1))
69.0ms	(* (- x y) (/ 60.0 (- z t)))

simplify614.0ms

Counts

106 → 106

Iterations

Useful iterations: 2 (174.0ms)

Iter	Nodes	Cost
0	158	1225
1	353	1152
2	1236	1050
done	5001	1050

prune362.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

0.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
12.0ms	(/ (- z t) (- x y))
14.0ms	(/ 60.0 (/ (- z t) (- x y)))

series468.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
58.0ms	(/ (- z t) (- x y))
307.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify847.0ms

Counts

217 → 217

Iterations

Useful iterations: 2 (280.0ms)

Iter	Nodes	Cost
0	294	3708
1	677	3482
2	2313	3352
done	5000	3352

prune653.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes262.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	14	14
1	17	12
done	17	12

end0.0ms

sample587.0ms

Algorithm

intervals

Results

299.0ms	8578×	body	80	valid
8.0ms	49×	body	1280	valid
4.0ms	21×	body	2560	valid
3.0ms	28×	body	320	valid
2.0ms	17×	body	640	valid
1.0ms	11×	body	160	valid