Details

Time bar (total: 11.7s)

sample234.0ms

Algorithm
intervals
Results
109.0ms251×body10240exit
20.0ms452×body80nan
12.0ms234×body80valid
3.0ms25×body160valid

simplify61.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.1b
(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
5.2b
(- (exp (* 2.0 x)) 1.0)
5.3b
(- (exp x) 1.0)

rewrite134.0ms

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:
33.0ms
(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
42.0ms
(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
15.0ms
(- (exp (* 2.0 x)) 1.0)
37.0ms
(- (exp x) 1.0)

series222.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
61.0ms
(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
34.0ms
(- (exp (* 2.0 x)) 1.0)
25.0ms
(- (exp x) 1.0)

simplify116.0ms

Counts
135 → 135

prune368.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (/ (- (exp x) 1.0) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))))
0.0b
(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
5.3b
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
5.3b
(- (exp x) 1.0)

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
535×*-un-lft-identity
520×sqrt-prod
483×times-frac
437×add-sqr-sqrt
150×difference-of-squares
131×add-cube-cbrt
104×distribute-lft-out
98×distribute-lft-out--
11×associate-/r/
10×add-log-exp
7×flip3-- flip--
6×div-inv
5×pow1
4×add-exp-log add-cbrt-cube
3×rem-sqrt-square
2×sub-neg diff-log
1×+-commutative sqrt-pow1 flip3-+ pow1/2 sqrt-div sum-log flip-+
Counts
4 → 318
Calls
4 calls:
96.0ms
(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (/ (- (exp x) 1.0) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))))
15.0ms
(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
19.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
11.0ms
(- (exp x) 1.0)

series503.0ms

Counts
4 → 12
Calls
4 calls:
376.0ms
(sqrt (/ (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)) (/ (- (exp x) 1.0) (- (sqrt (exp (* 2.0 x))) (sqrt 1.0)))))
51.0ms
(+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))
59.0ms
(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
17.0ms
(- (exp x) 1.0)

simplify130.0ms

Counts
330 → 330

prune630.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
0.1b
(* (cbrt (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (cbrt (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))))
5.5b
(- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))
5.5b
(- (sqrt (exp x)) (sqrt 1.0))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
47×add-sqr-sqrt
40×sqrt-prod
33×cbrt-prod
14×cbrt-div
13×add-cube-cbrt difference-of-squares
12×distribute-lft-out
11×pow1
10×swap-sqr
8×associate-*r* associate-*l* add-log-exp
7×flip3-+ pow1/3 flip-+
6×add-exp-log
5×distribute-lft-out--
4×frac-times add-cbrt-cube unswap-sqr
2×sub-neg flip3-- diff-log associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up flip--
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 113
Calls
4 calls:
11.0ms
(cbrt (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
98.0ms
(* (cbrt (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (cbrt (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))))
27.0ms
(- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))
26.0ms
(- (sqrt (exp x)) (sqrt 1.0))

series900.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
432.0ms
(* (cbrt (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))) (cbrt (+ (sqrt (exp (* 2.0 x))) (sqrt 1.0))))
178.0ms
(- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))
42.0ms
(- (sqrt (exp x)) (sqrt 1.0))

simplify54.0ms

Counts
125 → 125

prune612.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (+ (pow (sqrt (exp (* 2.0 x))) 3) (pow (sqrt 1.0) 3)))
5.3b
(- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
5.5b
(- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))
5.5b
(- (sqrt (exp x)) (sqrt 1.0))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
38×sqrt-prod
33×*-un-lft-identity
31×add-sqr-sqrt
13×cbrt-prod difference-of-squares
10×add-log-exp
9×distribute-lft-out
8×unpow-prod-down cube-prod
5×add-cube-cbrt distribute-lft-out--
4×pow1 add-exp-log add-cbrt-cube
3×sub-neg flip3-- diff-log flip--
2×cbrt-div
1×distribute-rgt-out-- flip3-+ pow1/3 sum-cubes flip-+
Counts
4 → 78
Calls
4 calls:
38.0ms
(cbrt (+ (pow (sqrt (exp (* 2.0 x))) 3) (pow (sqrt 1.0) 3)))
15.0ms
(- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
26.0ms
(- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))
17.0ms
(- (sqrt (exp x)) (sqrt 1.0))

series749.0ms

Counts
4 → 12
Calls
4 calls:
409.0ms
(cbrt (+ (pow (sqrt (exp (* 2.0 x))) 3) (pow (sqrt 1.0) 3)))
117.0ms
(- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt (exp (* 2.0 x))) (sqrt 1.0)))
177.0ms
(- (sqrt (sqrt (exp (* 2.0 x)))) (sqrt (sqrt 1.0)))
45.0ms
(- (sqrt (exp x)) (sqrt 1.0))

simplify46.0ms

Counts
90 → 90

prune644.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes42.0ms

Accuracy

94.1% (0.2b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 3.4b

bsearch86.0ms

Steps
ItersRangePoint
6
3.4861905217640845e-15
2.6932832767841798e-14
1.3246006736560645e-14
6
-8.80119633940591e-05
-1.4366514451014203e-05
-3.6087329580761725e-05

simplify1.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
3.5s6829×body10240exit
739.0ms7419×body80valid
697.0ms12771×body80nan
165.0ms705×body160valid