Details

sample50.0ms

Algorithm

intervals

Results

22.0ms	270×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	13	13
1	22	13
2	39	12
3	67	12
4	122	12
5	201	12
6	293	12
7	361	12
8	504	12
9	972	12
10	3182	12
done	5000	12

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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)))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite88.0ms

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:

48.0ms	(* 60.0 (- x y))
1.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
36.0ms	(/ (* 60.0 (- x y)) (- z t))

series262.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* 60.0 (- x y))
147.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
78.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify1.2s

Counts

96 → 96

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	180	1315
1	442	1132
2	1837	942
done	5001	910

prune317.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*`
4×	`associate-*l/`
3×	`expm1-log1p-u` `flip3--` `associate-r` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `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 → 65

Calls

3 calls:

25.0ms	(* (- x y) 60.0)
1.0ms	(fma 120.0 a (/ (* (- x y) 60.0) (- z t)))
36.0ms	(/ (* (- x y) 60.0) (- z t))

series284.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (- x y) 60.0)
166.0ms	(fma 120.0 a (/ (* (- x y) 60.0) (- z t)))
86.0ms	(/ (* (- x y) 60.0) (- z t))

simplify1.4s

Counts

74 → 74

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	128	795
1	317	770
2	1568	672
done	5001	668

prune328.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

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:

27.0ms	(/ 60.0 (- z t))
1.0ms	(fma 120.0 a (* (- x y) (/ 60.0 (- z t))))
57.0ms	(* (- x y) (/ 60.0 (- z t)))

series283.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(/ 60.0 (- z t))
131.0ms	(fma 120.0 a (* (- x y) (/ 60.0 (- z t))))
89.0ms	(* (- x y) (/ 60.0 (- z t)))

simplify1.4s

Counts

106 → 106

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	157	1201
1	371	1158
2	1831	1058
done	5000	1050

prune452.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

185×	`times-frac`
152×	`add-sqr-sqrt` `*-un-lft-identity`
76×	`add-cube-cbrt`
38×	`distribute-lft-out--` `difference-of-squares`
19×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r/` `flip--` `fma-udef`

Counts

2 → 149

Calls

2 calls:

1.0ms	(fma 120.0 a (/ (- x y) (/ (- z t) 60.0)))
31.0ms	(/ (- x y) (/ (- z t) 60.0))

series246.0ms

Counts

2 → 6

Calls

2 calls:

153.0ms	(fma 120.0 a (/ (- x y) (/ (- z t) 60.0)))
92.0ms	(/ (- x y) (/ (- z t) 60.0))

simplify1.5s

Counts

155 → 155

Iterations

Useful iterations: 2 (430.0ms)

Iter	Nodes	Cost
0	251	2938
1	768	2802
2	3478	2654
done	5001	2654

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes256.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	12
1	13	12
done	13	12

end0.0ms

sample1.4s

Algorithm

intervals

Results

709.0ms	8470×	body	80	valid
13.0ms	51×	body	640	valid
13.0ms	41×	body	1280	valid
11.0ms	21×	body	2560	valid
3.0ms	16×	body	320	valid
1.0ms	8×	body	160	valid