Details

Time bar (total: 29.1s)

sample326.0ms

Algorithm
intervals
Results
130.0ms220×body10240exit
63.0ms410×body80nan
19.0ms240×body80valid
3.0ms17×body160valid

simplify542.0ms

Calls
1 calls:
Slowest
541.0ms
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))

prune12.0ms

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))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
4×*-un-lft-identity add-cube-cbrt
3×fma-def sqrt-prod
2×expm1-log1p-u pow1 flip3-+ add-cbrt-cube sqrt-div add-exp-log flip-+ insert-posit16 log1p-expm1-u add-log-exp
1×+-commutative rem-sqrt-square pow1/2
Calls
2 calls:
Slowest
13.0ms
(+ (exp x) 1)
7.0ms
(sqrt (+ (exp x) 1))

series58.0ms

Calls
2 calls:
Slowest
42.0ms
(sqrt (+ (exp x) 1))
16.0ms
(+ (exp x) 1)

simplify614.0ms

Calls
14 calls:
Slowest
293.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
98.0ms
(sqrt (- (* (exp x) (exp x)) (* 1 1)))
71.0ms
(+ x (+ (* 1/2 (pow x 2)) 2))
58.0ms
(sqrt (+ (pow (exp x) 3) (pow 1 3)))
15.0ms
(sqrt (+ (exp x) 1))

prune308.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

4.2b
(- (* 1 1) (* (exp x) 1))
0.1b
(exp (+ x (+ x x)))
0.1b
(* (exp x) (exp x))
0.0b
(/ (sqrt (+ (exp (+ x (+ x x))) 1)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
42×sqrt-prod
36×times-frac
35×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×pow1
8×add-cbrt-cube
7×add-log-exp
6×associate-/r* add-exp-log associate-/l*
4×expm1-log1p-u sqrt-div insert-posit16 log1p-expm1-u
3×exp-prod associate-*r* associate-*l*
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow2 cbrt-undiv sqrt-undiv clear-num sub-neg frac-2neg pow-plus flip3-- distribute-rgt-out-- fma-neg diff-log div-exp exp-sum prod-diff pow-prod-down prod-exp *-commutative pow-prod-up cbrt-unprod div-inv flip-- rem-exp-log
Calls
4 calls:
Slowest
37.0ms
(/ (sqrt (+ (exp (+ x (+ x x))) 1)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))
4.0ms
(* (exp x) (exp x))
3.0ms
(- (* 1 1) (* (exp x) 1))
3.0ms
(exp (+ x (+ x x)))

series192.0ms

Calls
4 calls:
Slowest
116.0ms
(/ (sqrt (+ (exp (+ x (+ x x))) 1)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))
27.0ms
(- (* 1 1) (* (exp x) 1))
25.0ms
(* (exp x) (exp x))
23.0ms
(exp (+ x (+ x x)))

simplify12.9s

Calls
122 calls:
Slowest
387.0ms
(- (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))))
372.0ms
(sqrt (- (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))
281.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
268.0ms
(sqrt (+ (* (* (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))))))
218.0ms
(/ (* (cbrt (sqrt (+ (exp (+ x (+ x x))) 1))) (cbrt (sqrt (+ (exp (+ x (+ x x))) 1)))) (* (cbrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))) (cbrt (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))))

prune1.8s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

4.2b
(- (* 1 1) (* (exp x) 1))
0.1b
(expm1 (exp (+ x (+ x x))))
0.1b
(exp (+ x (+ x x)))
0.1b
(* (exp x) (exp x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt add-log-exp
6×add-cbrt-cube
5×log1p-expm1-u
4×expm1-log1p-u add-exp-log insert-posit16
3×exp-prod associate-*r* associate-*l*
1×pow2 expm1-log1p sub-neg pow-plus flip3-- distribute-rgt-out-- fma-neg diff-log exp-sum prod-diff pow-prod-down prod-exp *-commutative pow-prod-up cbrt-unprod flip-- expm1-udef rem-exp-log
Calls
4 calls:
Slowest
9.0ms
(* (exp x) (exp x))
6.0ms
(- (* 1 1) (* (exp x) 1))
5.0ms
(exp (+ x (+ x x)))
1.0ms
(expm1 (exp (+ x (+ x x))))

series109.0ms

Calls
4 calls:
Slowest
62.0ms
(expm1 (exp (+ x (+ x x))))
24.0ms
(- (* 1 1) (* (exp x) 1))
14.0ms
(* (exp x) (exp x))
8.0ms
(exp (+ x (+ x x)))

simplify1.3s

Calls
33 calls:
Slowest
343.0ms
(- (+ x (+ (* 1/6 (pow x 3)) (* 1/2 (pow x 2)))))
312.0ms
(- (+ (* 9 (* (pow x 2) E)) (+ E (* 3 (* x E)))) 1)
86.0ms
(+ (* 2 x) (+ (* 2 (pow x 2)) 1))
80.0ms
(+ (* 3 x) (+ (* 9/2 (pow x 2)) 1))
71.0ms
(- (exp (exp (* 3 x))) 1)

prune1.1s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample9.7s

Algorithm
intervals
Results
5.2s6796×body10240exit
2.8s12663×body80nan
1.1s7423×body80valid
155.0ms708×body160valid