Details

sample27.0ms

Algorithm

intervals

Results

13.0ms	268×	body	80	valid
1.0ms	5×	body	1280	valid

simplify1.0s

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

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite30.0ms

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:

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

series201.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* 60.0 (- x y))
99.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
70.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify2.2s

Counts

96 → 96

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	180	1315
1	387	1126
2	1123	934
3	4833	892
done	5000	892

prune272.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- x y))
0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.6b	(/ 60.0 (/ (- z t) (- x y)))

rewrite39.0ms

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:

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

series459.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- z t) (- x y))
98.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
307.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify938.0ms

Counts

217 → 217

Iterations

Useful iterations: 2 (286.0ms)

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

prune704.0ms

Pruning

5 alts after pruning (3 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 (/ (- x y) (- z t))))
0.0b	(/ (- x y) (- z t))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite43.0ms

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:

0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
12.0ms	(/ (- x y) (- z t))
25.0ms	(* 60.0 (/ (- x y) (- z t)))

series219.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
54.0ms	(/ (- x y) (- z t))
69.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify1.5s

Counts

125 → 125

Iterations

Useful iterations: done (1.5s)

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

prune393.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 119

Calls

3 calls:

5.0ms	(/ 60.0 (- z t))
0.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
30.0ms	(* (/ 60.0 (- z t)) (- x y))

series443.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ 60.0 (- z t))
99.0ms	(fma 120.0 a (* (/ 60.0 (- z t)) (- x y)))
296.0ms	(* (/ 60.0 (- z t)) (- x y))

simplify886.0ms

Counts

128 → 128

Iterations

Useful iterations: done (881.0ms)

Iter	Nodes	Cost
0	215	1877
1	512	1683
2	1563	1489
done	5002	1471

prune366.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes264.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
done	12	12

end0.0ms

sample600.0ms

Algorithm

intervals

Results

308.0ms	8513×	body	80	valid
9.0ms	24×	body	2560	valid
7.0ms	40×	body	1280	valid
5.0ms	39×	body	640	valid
3.0ms	25×	body	320	valid
1.0ms	10×	body	160	valid