Details

sample478.0ms

Algorithm

intervals

Results

109.0ms	58×	body	1280	valid
97.0ms	48×	body	640	valid
78.0ms	120×	body	80	valid
76.0ms	20×	body	320	valid
29.0ms	10×	body	160	valid

simplify38.0ms

Counts

1 → 1

Iterations

Iter	Nodes
6	38
5	38
4	36
3	28
2	23
1	15
0	7

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(- 1 (* (tan x) (tan x)))
0.2b	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`pow1`
15×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
8×	`tan-quot`
6×	`swap-sqr` `associate-r` `associate-l` `add-log-exp`
5×	`associate-/l*`
4×	`insert-posit16`
3×	`associate-/r*`
2×	`pow2` `frac-times` `pow-plus` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip--` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

4 → 114

Calls

4 calls:

6.0ms	(- 1 (* (tan x) (tan x)))
28.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
29.0ms	(* (tan x) (tan x))
33.0ms	(* (tan x) (tan x))

series436.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(- 1 (* (tan x) (tan x)))
139.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
119.0ms	(* (tan x) (tan x))
113.0ms	(* (tan x) (tan x))

simplify916.0ms

Counts

126 → 126

Iterations

Iter	Nodes
3	2404
2	926
1	359
0	144

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x))))
0.2b	(- 1 (tan x))
0.2b	(* (+ 1 (tan x)) (- 1 (tan x)))
0.3b	(* (tan x) (tan x))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
9×	`frac-times` `associate-r`
8×	`associate-/l/`
7×	`flip3-+` `flip3--` `associate-l` `flip-+` `flip--`
6×	`add-log-exp`
5×	`associate-l/` `associate-r/`
4×	`tan-quot` `insert-posit16` `difference-of-squares`
3×	`associate-/r*` `sub-neg` `times-frac` `swap-sqr` `prod-exp` `cbrt-unprod`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `distribute-lft-out--` `unswap-sqr`
1×	`pow2` `clear-num` `frac-2neg` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 112

Calls

4 calls:

20.0ms	(/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x))))
4.0ms	(- 1 (tan x))
23.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
27.0ms	(* (tan x) (tan x))

series265.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x))))
23.0ms	(- 1 (tan x))
71.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
36.0ms	(* (tan x) (tan x))

simplify3.7s

Counts

124 → 124

Iterations

Iter	Nodes
3	7273
2	1855
1	523
0	182

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sin x) (cos x))
0.2b	(- 1 (/ (sin x) (cos x)))
0.2b	(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x))))
0.3b	(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
53×	`times-frac`
52×	`*-un-lft-identity`
42×	`add-cube-cbrt`
21×	`associate-r`
20×	`add-cbrt-cube` `add-exp-log`
17×	`associate-l`
13×	`pow1` `swap-sqr`
8×	`difference-of-squares`
6×	`add-log-exp`
5×	`frac-times` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
4×	`flip3--` `insert-posit16` `flip--`
3×	`associate-/r` `sub-neg` `flip3-+` `associate-l/` `associate-r/` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `*-commutative` `distribute-lft-out--`
1×	`pow2` `quot-tan` `clear-num` `frac-2neg` `pow-plus` `diff-log` `pow-sqr` `pow-prod-up` `distribute-lft-out`

Counts

4 → 152

Calls

4 calls:

17.0ms	(/ (sin x) (cos x))
20.0ms	(- 1 (/ (sin x) (cos x)))
114.0ms	(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x))))
18.0ms	(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (sin x) (cos x))
22.0ms	(- 1 (/ (sin x) (cos x)))
69.0ms	(* (+ 1 (/ (sin x) (cos x))) (- 1 (/ (sin x) (cos x))))
60.0ms	(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))

simplify716.0ms

Counts

164 → 164

Iterations

Iter	Nodes
2	2443
1	694
0	220

prune1.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ 1 (/ (sin x) (cos x))) (log (exp (- 1 (/ (sin x) (cos x))))))
0.2b	(log (exp (- 1 (/ (sin x) (cos x)))))
0.3b	(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))
0.3b	(exp (- 1 (/ (sin x) (cos x))))

rewrite333.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
46×	`times-frac`
40×	`add-cube-cbrt`
25×	`associate-r`
24×	`exp-prod`
18×	`add-cbrt-cube` `add-exp-log` `log-pow`
17×	`associate-l`
15×	`pow1` `log-prod`
13×	`swap-sqr`
12×	`difference-of-squares`
8×	`exp-sum`
7×	`add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`cbrt-undiv` `sub-neg` `div-exp` `insert-posit16` `div-inv`
3×	`associate-*l/` `distribute-lft-out--`
2×	`exp-diff` `pow-prod-down` `*-commutative` `rem-exp-log`
1×	`pow2` `frac-times` `log-div` `flip3-+` `pow-plus` `diff-log` `rem-log-exp` `associate-*r/` `pow-sqr` `pow-prod-up` `flip-+` `distribute-lft-out`

Counts

4 → 154

Calls

4 calls:

214.0ms	(* (+ 1 (/ (sin x) (cos x))) (log (exp (- 1 (/ (sin x) (cos x))))))
64.0ms	(log (exp (- 1 (/ (sin x) (cos x)))))
18.0ms	(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))
34.0ms	(exp (- 1 (/ (sin x) (cos x))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (+ 1 (/ (sin x) (cos x))) (log (exp (- 1 (/ (sin x) (cos x))))))
39.0ms	(log (exp (- 1 (/ (sin x) (cos x)))))
59.0ms	(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))
54.0ms	(exp (- 1 (/ (sin x) (cos x))))

simplify689.0ms

Counts

166 → 166

Iterations

Iter	Nodes
2	2000
1	696
0	241

prune1.8s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes307.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	18
1	18
0	13

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.5s	1527×	body	1280	valid
2.0s	1280×	body	640	valid
955.0ms	4294×	body	80	valid
392.0ms	625×	body	320	valid
114.0ms	274×	body	160	valid