Details

sample598.0ms

Algorithm

intervals

Results

50.0ms	46×	body	1280	valid
26.0ms	35×	body	640	valid
23.0ms	137×	body	80	valid
13.0ms	25×	body	320	valid
5.0ms	13×	body	160	valid

simplify97.0ms

Counts

1 → 1

Iterations

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
0.2b	(- 1 (* (tan x) (tan x)))
0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))

rewrite136.0ms

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:

36.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
11.0ms	(- 1 (* (tan x) (tan x)))
47.0ms	(* (tan x) (tan x))
35.0ms	(* (tan x) (tan x))

series273.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
41.0ms	(- 1 (* (tan x) (tan x)))
46.0ms	(* (tan x) (tan x))
73.0ms	(* (tan x) (tan x))

simplify2.4s

Counts

126 → 126

Iterations

Iter	Nodes
done	5070
3	3113
2	964
1	376
0	144

prune534.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

38.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
15.0ms	(+ 1 (tan x))
11.0ms	(- 1 (tan x))
32.0ms	(* (tan x) (tan x))

series172.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
26.0ms	(+ 1 (tan x))
31.0ms	(- 1 (tan x))
38.0ms	(* (tan x) (tan x))

simplify1.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1206
1	384
0	136

prune523.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

15×	`associate-*r/`
12×	`*-un-lft-identity` `flip3-+` `flip-+`
11×	`pow1`
10×	`add-sqr-sqrt` `frac-add` `tan-quot` `add-log-exp`
8×	`add-cube-cbrt`
6×	`add-cbrt-cube` `add-exp-log` `distribute-neg-frac`
5×	`frac-times`
4×	`insert-posit16`
3×	`+-commutative` `sum-log` `swap-sqr` `associate-r` `associate-l` `associate-*l/`
2×	`distribute-lft-neg-out` `distribute-rgt-in` `associate-+l+` `associate-+r+` `distribute-lft-in` `distribute-lft-out`
1×	`pow2` `pow-plus` `distribute-rgt-out` `unsub-neg` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

11.0ms	(+ 1 (tan x))
11.0ms	(+ 1 (tan x))
21.0ms	(+ (* 1 (+ 1 (tan x))) (* (- (tan x)) (+ 1 (tan x))))
20.0ms	(* (tan x) (tan x))

series152.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ 1 (tan x))
31.0ms	(+ 1 (tan x))
56.0ms	(+ (* 1 (+ 1 (tan x))) (* (- (tan x)) (+ 1 (tan x))))
35.0ms	(* (tan x) (tan x))

simplify1.9s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
2	1997
1	540
0	163

prune493.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ 1 (tan x))
0.3b	(+ (* 1 (log (exp (+ 1 (tan x))))) (* (- (tan x)) (+ 1 (tan x))))
0.3b	(* (tan x) (tan x))
0.3b	(exp (+ 1 (tan x)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
11×	`pow1` `add-cube-cbrt` `add-log-exp`
8×	`associate-+l+` `log-prod`
6×	`add-cbrt-cube` `add-exp-log`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`exp-prod` `tan-quot` `insert-posit16`
3×	`sum-log` `swap-sqr` `associate-r` `associate-l` `exp-sum`
2×	`distribute-lft-neg-out` `+-commutative` `associate-+r+` `flip3-+` `flip-+` `distribute-lft-out` `rem-exp-log`
1×	`pow2` `frac-times` `pow-plus` `unsub-neg` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(+ 1 (tan x))
31.0ms	(+ (* 1 (log (exp (+ 1 (tan x))))) (* (- (tan x)) (+ 1 (tan x))))
21.0ms	(* (tan x) (tan x))
15.0ms	(exp (+ 1 (tan x)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ 1 (tan x))
51.0ms	(+ (* 1 (log (exp (+ 1 (tan x))))) (* (- (tan x)) (+ 1 (tan x))))
39.0ms	(* (tan x) (tan x))
73.0ms	(exp (+ 1 (tan x)))

simplify2.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
3	3158
2	1121
1	392
0	145

prune509.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes271.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	9

end0.0ms

sample4.5s

Algorithm

intervals

Results

1.9s	1468×	body	1280	valid
992.0ms	1206×	body	640	valid
583.0ms	4343×	body	80	valid
560.0ms	345×	body	160	valid
251.0ms	638×	body	320	valid