Details

sample224.0ms

Algorithm

intervals

Results

123.0ms	235×	body	10240	exit
18.0ms	433×	body	80	nan
14.0ms	243×	body	80	valid
2.0ms	18×	body	160	valid

simplify1.3s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.0b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
3.7b	(- (exp (* 2.0 x)) 1.0)
3.7b	(- (exp x) 1.0)

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
51×	`times-frac`
31×	`sqrt-prod`
27×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`associate-/r/`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 123

Calls

4 calls:

54.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
71.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
28.0ms	(- (exp (* 2.0 x)) 1.0)
29.0ms	(- (exp x) 1.0)

series321.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
107.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
43.0ms	(- (exp (* 2.0 x)) 1.0)
24.0ms	(- (exp x) 1.0)

simplify1.6s

Counts: 135 → 135

prune552.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
0.0b	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
3.7b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
3.7b	(- (exp x) 1.0)

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
14×	`sqrt-prod`
11×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
9×	`flip3--` `associate-r` `flip--`
8×	`frac-times` `add-cube-cbrt` `associate-/l/` `add-log-exp`
7×	`distribute-lft-out--`
6×	`pow1` `flip3-+` `flip-+`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`sub-neg` `associate-r/` `associate-l/`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `diff-log` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

84.0ms	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
136.0ms	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
30.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
22.0ms	(- (exp x) 1.0)

series572.0ms

Counts

4 → 12

Calls

4 calls:

304.0ms	(/ (* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (- (exp x) 1.0))
160.0ms	(* (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
80.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
28.0ms	(- (exp x) 1.0)

simplify1.0s

Counts: 117 → 117

prune558.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (pow (sqrt (exp (* 2.0 x))) 3) (pow (sqrt 1.0) 3)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
0.1b	(pow (sqrt (exp (* 2.0 x))) 3)
3.7b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
3.7b	(- (exp x) 1.0)

rewrite460.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
26×	`sqrt-prod`
14×	`unpow-prod-down` `cube-prod`
13×	`associate-l`
11×	`add-cube-cbrt`
9×	`associate-r` `distribute-lft-out` `add-log-exp` `difference-of-squares`
8×	`pow1`
7×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `pow-pow` `flip--` `distribute-lft-out--`
4×	`frac-times` `sub-neg`
3×	`pow-unpow` `sqrt-pow1` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `distribute-lft-in` `diff-log` `associate-r/` `associate-l/`
1×	`cube-mult` `pow-to-exp` `exp-prod` `exp-to-pow` `pow1/2` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `sum-cubes` `*-commutative` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr` `sqr-pow`

Counts

4 → 112

Calls

4 calls:

389.0ms	(* (+ (pow (sqrt (exp (* 2.0 x))) 3) (pow (sqrt 1.0) 3)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
12.0ms	(pow (sqrt (exp (* 2.0 x))) 3)
38.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
13.0ms	(- (exp x) 1.0)

series463.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(* (+ (pow (sqrt (exp (* 2.0 x))) 3) (pow (sqrt 1.0) 3)) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
69.0ms	(pow (sqrt (exp (* 2.0 x))) 3)
99.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
17.0ms	(- (exp x) 1.0)

simplify1.3s

Counts: 124 → 124

prune695.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 1.0 (* 0.5 x)))
23.8b	(sqrt (+ (* x (+ 1.0 (* 0.5 x))) 2.0))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sqrt-prod`
2×	`flip3-+` `sqrt-div` `associate-*r/` `flip-+` `add-log-exp`
1×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

21.0ms	(* x (+ 1.0 (* 0.5 x)))
15.0ms	(sqrt (+ (* x (+ 1.0 (* 0.5 x))) 2.0))

series222.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(* x (+ 1.0 (* 0.5 x)))
121.0ms	(sqrt (+ (* x (+ 1.0 (* 0.5 x))) 2.0))

simplify727.0ms

Counts: 43 → 43

prune131.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes56.0ms

Accuracy

78.6% (0.7b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 3.6b

bsearch62.0ms

Steps

Iters	Range		Point
6	-2.9276089503256923e-05	-5.99435871131559e-06	-1.485235983952412e-05

simplify1.2s

end0.0ms

sample7.6s

Algorithm

intervals

Results

5.1s	6673×	body	10240	exit
1.0s	12742×	body	80	nan
581.0ms	7381×	body	80	valid
144.0ms	741×	body	160	valid