Details

Time bar (total: 28.1s)

sample393.0ms

Algorithm
intervals
Results
163.0ms193×body10240exit
38.0ms357×body80nan
29.0ms237×body80valid
6.0ms22×body160valid

simplify374.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
374.0ms
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp x) 1)
0.0b
(sqrt (+ (exp x) 1))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
4×add-sqr-sqrt sqrt-prod add-log-exp
3×pow1 add-cube-cbrt
2×flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ insert-posit16 distribute-lft-out
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2
Counts
2 → 30
Calls
2 calls:
Slowest
14.0ms
(sqrt (+ (exp x) 1))
8.0ms
(+ (exp x) 1)

series82.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
55.0ms
(sqrt (+ (exp x) 1))
27.0ms
(+ (exp x) 1)

simplify742.0ms

Counts
16 → 36
Calls
16 calls:
Slowest
415.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
87.0ms
(sqrt (+ (pow (exp x) 3) (pow 1 3)))
65.0ms
(sqrt (- (* (exp x) (exp x)) (* 1 1)))
45.0ms
(+ x (+ (* 1/2 (pow x 2)) 2))
25.0ms
(sqrt (sqrt (+ (exp x) 1)))

prune274.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

4.9b
(- (* 1 1) (* (exp x) 1))
0.3b
(/ (+ (pow (exp x) 3) (pow 1 3)) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))
0.1b
(pow (exp x) 3)
0.0b
(* (exp x) (exp x))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
77×*-un-lft-identity
35×add-sqr-sqrt
33×add-cube-cbrt
30×times-frac
24×distribute-lft-out
21×exp-prod
19×unpow-prod-down cube-prod
12×pow1
10×associate-/l*
9×add-cbrt-cube
6×add-exp-log add-log-exp
5×cube-mult
4×pow-pow pow-prod-down pow-sqr sum-cubes pow-prod-up insert-posit16
3×pow-unpow associate-/r* swap-sqr associate-*r* associate-*l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow2 pow-to-exp cbrt-undiv clear-num sub-neg frac-2neg pow-plus flip3-- distribute-rgt-out-- diff-log unpow3 div-exp pow-exp prod-exp *-commutative cbrt-unprod div-inv flip-- rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 136
Calls
4 calls:
Slowest
126.0ms
(/ (+ (pow (exp x) 3) (pow 1 3)) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))
12.0ms
(* (exp x) (exp x))
11.0ms
(- (* 1 1) (* (exp x) 1))
3.0ms
(pow (exp x) 3)

series181.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
123.0ms
(/ (+ (pow (exp x) 3) (pow 1 3)) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))
26.0ms
(pow (exp x) 3)
18.0ms
(- (* 1 1) (* (exp x) 1))
14.0ms
(* (exp x) (exp x))

simplify14.5s

Counts
142 → 148
Calls
142 calls:
Slowest
592.0ms
(/ (+ (pow (exp x) 3) (pow 1 3)) (cbrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))
373.0ms
(/ (* (* (+ (pow (exp x) 3) (pow 1 3)) (+ (pow (exp x) 3) (pow 1 3))) (+ (pow (exp x) 3) (pow 1 3))) (* (* (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))
321.0ms
(+ (* (* (exp x) (exp x)) (* (exp x) (exp x))) (- (* (- (* 1 1) (* (exp x) 1)) (- (* 1 1) (* (exp x) 1))) (* (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))
269.0ms
(/ (* (cbrt (+ (pow (exp x) 3) (pow 1 3))) (cbrt (+ (pow (exp x) 3) (pow 1 3)))) (* (cbrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) (cbrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))))
268.0ms
(/ (sqrt (+ (pow (exp x) 3) (pow 1 3))) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))

prune1.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample9.4s

Algorithm
intervals
Results
6.1s6643×body10240exit
1.7s12656×body80nan
1.0s7388×body80valid
163.0ms739×body160valid