Details

sample70.0ms

Algorithm

intervals

Results

30.0ms	59×	body	1280	valid
11.0ms	144×	body	80	valid
9.0ms	26×	body	640	valid
5.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify174.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

174.0ms

(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 26.8b

localize26.0ms

Local error

Found 3 expressions with local error:

2.5b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

Slowest

91.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
14.0ms	(/ 2 (+ 1 (exp (* -2 x))))
5.0ms	(+ 1 (exp (* -2 x)))

series117.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

82.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
21.0ms	(/ 2 (+ 1 (exp (* -2 x))))
13.0ms	(+ 1 (exp (* -2 x)))

simplify7.0s

Counts

57 → 76

Calls

57 calls:

Slowest

382.0ms	(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
352.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
292.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
177.0ms	(+ (/ (sqrt 2) (sqrt (+ 1 (exp (* -2 x))))) (sqrt 1))
170.0ms	(* (exp 1) (exp (exp (* -2 x))))

prune828.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

2.5b	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
0.0b	(/ 2 (+ (exp (* -2 x)) 1))
0.0b	(+ (exp (* -2 x)) 1)

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

26×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
15×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `difference-of-squares`
3×	`pow1` `insert-posit16` `associate-/l*`
2×	`flip3-+` `difference-of-sqr-1` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `div-inv` `flip--` `distribute-lft-out--`

Counts

3 → 67

Calls

3 calls:

Slowest

121.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
17.0ms	(/ 2 (+ (exp (* -2 x)) 1))
9.0ms	(+ (exp (* -2 x)) 1)

series122.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

65.0ms	(- (/ 2 (+ (exp (* -2 x)) 1)) 1)
41.0ms	(/ 2 (+ (exp (* -2 x)) 1))
15.0ms	(+ (exp (* -2 x)) 1)

simplify6.5s

Counts

57 → 76

Calls

57 calls:

Slowest

395.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
270.0ms	(/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))
209.0ms	(+ (* (exp (* -2 x)) (exp (* -2 x))) (- (* 1 1) (* (exp (* -2 x)) 1)))
185.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
167.0ms	(/ (* (cbrt 2) (cbrt 2)) (* (cbrt (+ (exp (* -2 x)) 1)) (cbrt (+ (exp (* -2 x)) 1))))

prune604.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

2.5b	(- (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1))
0.0b	(/ (- (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1)) (+ (/ 2 (+ (exp (* -2 x)) 1)) 1))
0.0b	(* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1)))
0.0b	(/ 2 (+ (exp (* -2 x)) 1))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
92×	`times-frac`
71×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
27×	`distribute-lft-out`
24×	`swap-sqr`
20×	`add-cbrt-cube` `add-exp-log`
18×	`associate-r` `associate-l`
12×	`associate-/r/`
11×	`pow1`
8×	`associate-/r*`
7×	`associate-/l*`
6×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+` `div-inv` `add-log-exp` `difference-of-squares`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `flip--` `associate-/l/`
1×	`pow2` `frac-times` `sub-neg` `pow-plus` `diff-log` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 179

Calls

4 calls:

Slowest

144.0ms	(/ (- (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1)) (+ (/ 2 (+ (exp (* -2 x)) 1)) 1))
82.0ms	(* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1)))
46.0ms	(- (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1))
20.0ms	(/ 2 (+ (exp (* -2 x)) 1))

series353.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

211.0ms	(/ (- (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1)) (+ (/ 2 (+ (exp (* -2 x)) 1)) 1))
82.0ms	(- (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1))
40.0ms	(* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1)))
20.0ms	(/ 2 (+ (exp (* -2 x)) 1))

simplify34.1s

Counts

203 → 191

Calls

203 calls:

Slowest

641.0ms	(/ 2 (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 1)))
519.0ms	(+ (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (- (* 1 1) (* (/ 2 (+ (exp (* -2 x)) 1)) 1)))
476.0ms	(+ (/ 2 (+ (exp (* -2 x)) 1)) 1)
461.0ms	(* (+ (* (exp (* -2 x)) (exp (* -2 x))) (- (* 1 1) (* (exp (* -2 x)) 1))) (+ (* (exp (* -2 x)) (exp (* -2 x))) (- (* 1 1) (* (exp (* -2 x)) 1))))
453.0ms	(* (/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1))) (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (/ 2 (+ (exp (* -2 x)) 1))))

prune1.9s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow (* 1 1) 3))
0.0b	(pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3)
0.0b	(/ (/ (- (pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow (* 1 1) 3)) (+ (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1)))) (+ (* (* 1 1) (* 1 1)) (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1))))) (+ (/ 2 (+ (exp (* -2 x)) 1)) 1))
0.0b	(* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

711×	`times-frac`
462×	`*-un-lft-identity`
358×	`add-sqr-sqrt`
256×	`difference-of-squares`
230×	`add-cube-cbrt`
188×	`frac-times`
162×	`associate-/r/`
152×	`add-cbrt-cube` `add-exp-log`
150×	`frac-add`
129×	`unpow-prod-down` `cube-prod` `sqr-pow`
123×	`pow1`
122×	`associate-l/` `associate-r/`
100×	`distribute-lft-out`
99×	`associate-/l*`
81×	`flip3-+` `flip-+`
69×	`prod-exp` `cbrt-unprod`
47×	`cbrt-undiv` `div-exp`
37×	`pow-prod-up`
24×	`pow-prod-down`
23×	`pow-sqr`
19×	`pow-plus`
16×	`difference-cubes` `distribute-lft-out--`
14×	`pow2`
6×	`pow-pow` `div-inv` `add-log-exp`
5×	`pow-exp` `rem-cube-cbrt`
4×	`associate-/r*` `insert-posit16`
3×	`cube-div` `pow-unpow`
2×	`div-sub`
1×	`cube-mult` `pow-to-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `unpow3` `swap-sqr` `associate-r` `associate-l` `*-commutative` `flip--` `unswap-sqr` `associate-/l/`

Counts

4 → 706

Calls

4 calls:

Slowest

1.6s	(/ (/ (- (pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow (* 1 1) 3)) (+ (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1)))) (+ (* (* 1 1) (* 1 1)) (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1))))) (+ (/ 2 (+ (exp (* -2 x)) 1)) 1))
135.0ms	(* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))))
36.0ms	(pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3)
10.0ms	(- (pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow (* 1 1) 3))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

838.0ms	(/ (/ (- (pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow (* 1 1) 3)) (+ (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1)))) (+ (* (* 1 1) (* 1 1)) (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1))))) (+ (/ 2 (+ (exp (* -2 x)) 1)) 1))
135.0ms	(- (pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow (* 1 1) 3))
70.0ms	(pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3)
44.0ms	(* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))))

simplify7.1m

Counts

1130 → 718

Calls

1130 calls:

Slowest

1.6s	(* (* (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (/ 2 (+ (exp (* -2 x)) 1))) (/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))) (* (/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1))) (/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))))
1.4s	(/ (/ (* (* (- (pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow (* 1 1) 3)) (- (pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow (* 1 1) 3))) (- (pow (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) 3) (pow (* 1 1) 3))) (* (* (+ (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1)))) (+ (* (* 1 1) (* 1 1)) (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1)))) (+ (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1)))) (+ (* (* 1 1) (* 1 1)) (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1))))) (+ (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1)))) (+ (* (* 1 1) (* 1 1)) (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1)))))) (* (* (+ (/ 2 (+ (exp (* -2 x)) 1)) 1) (+ (/ 2 (+ (exp (* -2 x)) 1)) 1)) (+ (/ 2 (+ (exp (* -2 x)) 1)) 1)))
1.2s	(/ (* (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1))) (- (* (* 1 1) (* 1 1)) (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (* 1 1)))) (+ (/ 2 (+ (exp (* -2 x)) 1)) 1))
1.1s	(* (* (/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1))) (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (/ 2 (+ (exp (* -2 x)) 1)))) (* (/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1))) (/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))))
1.1s	(* (* (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (/ 2 (+ (exp (* -2 x)) 1))) (/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))) (* (* (* (/ 2 (+ (exp (* -2 x)) 1)) (/ 2 (+ (exp (* -2 x)) 1))) (/ 2 (+ (exp (* -2 x)) 1))) (/ (* (* 2 2) 2) (* (* (+ (exp (* -2 x)) 1) (+ (exp (* -2 x)) 1)) (+ (exp (* -2 x)) 1)))))

prune12.8s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes257.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 29.2b

bsearch160.0ms

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	1706×	body	1280	valid
575.0ms	1252×	body	640	valid
398.0ms	4123×	body	80	valid
226.0ms	625×	body	320	valid
54.0ms	294×	body	160	valid