Details

sample89.0ms

Algorithm

intervals

Results

36.0ms	59×	body	1280	valid
19.0ms	39×	body	640	valid
12.0ms	123×	body	80	valid
8.0ms	28×	body	320	valid
2.0ms	7×	body	160	valid

simplify119.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

119.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize33.0ms

Local error

Found 3 expressions with local error:

3.2b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite100.0ms

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

61.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
25.0ms	(/ 2 (+ 1 (exp (* -2 x))))
11.0ms	(+ 1 (exp (* -2 x)))

series159.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

96.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
43.0ms	(/ 2 (+ 1 (exp (* -2 x))))
20.0ms	(+ 1 (exp (* -2 x)))

simplify6.6s

Counts

57 → 76

Calls

57 calls:

Slowest

344.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
313.0ms	(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
256.0ms	(- (+ x 1) (* 1/3 (pow x 3)))
229.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))
185.0ms	(- (* 2 (/ 1 (+ (exp (* -2 x)) 1))) 1)

prune703.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

17.9b	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
0.2b	(* (* x x) -1/3)
0.1b	(* (* (* x x) -1/3) x)
0.1b	(* (pow x 5) 2/15)

rewrite479.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
15×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`cbrt-unprod`
9×	`-un-lft-identity` `associate-r` `associate-l*` `pow-prod-down` `add-cube-cbrt` `add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`sum-log` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `+-commutative` `associate-+l+` `flip3-+` `pow-exp` `flip-+`

Counts

4 → 82

Calls

4 calls:

Slowest

347.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
83.0ms	(* (* (* x x) -1/3) x)
29.0ms	(* (* x x) -1/3)
17.0ms	(* (pow x 5) 2/15)

series278.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

79.0ms	(+ (+ (* (* (* x x) -1/3) x) x) (* (pow x 5) 2/15))
79.0ms	(* (pow x 5) 2/15)
67.0ms	(* (* (* x x) -1/3) x)
52.0ms	(* (* x x) -1/3)

simplify4.5s

Counts

55 → 94

Calls

55 calls:

Slowest

633.0ms	(* (* (* (* (* x x) -1/3) (* (* x x) -1/3)) (* (* x x) -1/3)) (* (* x x) x))
417.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
373.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
336.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
289.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* -1/3 -1/3) -1/3))

prune887.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
3.2b	(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
0.0b	(/ 2 (+ 1 (exp (* -2 x))))
0.0b	(+ 1 (exp (* -2 x)))

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
18×	`times-frac`
15×	`add-cube-cbrt`
11×	`log-pow`
10×	`exp-prod`
8×	`add-log-exp` `difference-of-squares`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `log-prod` `distribute-lft-out`
4×	`associate-/r*` `difference-of-sqr-1` `insert-posit16`
3×	`associate-/l*`
2×	`sub-neg` `flip3-+` `exp-sum` `associate-/r/` `flip-+` `distribute-lft-out--`
1×	`cbrt-undiv` `+-commutative` `log-div` `clear-num` `sum-log` `frac-2neg` `flip3--` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `div-inv` `flip--`

Counts

4 → 93

Calls

4 calls:

Slowest

140.0ms	(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
73.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
12.0ms	(+ 1 (exp (* -2 x)))
10.0ms	(/ 2 (+ 1 (exp (* -2 x))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

84.0ms	(log (exp (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))
76.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
21.0ms	(/ 2 (+ 1 (exp (* -2 x))))
13.0ms	(+ 1 (exp (* -2 x)))

simplify10.1s

Counts

77 → 105

Calls

77 calls:

Slowest

504.0ms	(cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1))
404.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
381.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
324.0ms	(/ (* (* 2 2) 2) (* (* (+ 1 (exp (* -2 x))) (+ 1 (exp (* -2 x)))) (+ 1 (exp (* -2 x)))))
248.0ms	(+ (* 1 1) (- (* (exp (* -2 x)) (exp (* -2 x))) (* 1 (exp (* -2 x)))))

prune979.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

3.2b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
3.2b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
3.2b	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
2.8b	(log (exp (* (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
12×	`difference-of-squares`
11×	`add-log-exp`
9×	`times-frac`
6×	`difference-of-sqr-1`
5×	`pow1` `add-cube-cbrt`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`log-prod` `sub-neg` `flip3--` `diff-log` `log-pow` `flip--` `distribute-lft-out--`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 75

Calls

4 calls:

Slowest

95.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
93.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
91.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
6.0ms	(log (exp (* (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))))

series489.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

227.0ms	(log (exp (* (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)) (cbrt (- (/ 2 (+ 1 (exp (* -2 x)))) 1)))))
99.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
91.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)
72.0ms	(- (/ 2 (+ 1 (exp (* -2 x)))) 1)

simplify9.0s

Counts

54 → 87

Calls

54 calls:

Slowest

475.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
398.0ms	(pow (pow (- (* 2 (/ 1 (+ (exp (* -2 x)) 1))) 1) 2) 1/3)
378.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
373.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
364.0ms	(pow (pow (- (* 2 (/ 1 (+ (exp (* -2 x)) 1))) 1) 2) 1/3)

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes457.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.0b

bsearch130.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	1728×	body	1280	valid
523.0ms	1268×	body	640	valid
468.0ms	4072×	body	80	valid
277.0ms	651×	body	320	valid
50.0ms	281×	body	160	valid