Details

Time bar (total: 42.1s)

sample424.0ms

Algorithm
intervals
Results
208.0ms195×body10240exit
47.0ms384×body80nan
34.0ms240×body80valid
6.0ms20×body160valid

simplify411.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
410.0ms
(sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))

prune18.0ms

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))

rewrite20.0ms

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
9.0ms
(+ (exp x) 1)
9.0ms
(sqrt (+ (exp x) 1))

series90.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
55.0ms
(sqrt (+ (exp x) 1))
34.0ms
(+ (exp x) 1)

simplify772.0ms

Counts
16 → 36
Calls
16 calls:
Slowest
393.0ms
(- (+ (sqrt 2) (+ (* 1/4 (/ (pow x 2) (sqrt 2))) (* 1/2 (/ x (sqrt 2))))) (* 1/8 (/ (pow x 2) (pow (sqrt 2) 3))))
96.0ms
(sqrt (+ (pow (exp x) 3) (pow 1 3)))
83.0ms
(+ x (+ (* 1/2 (pow x 2)) 2))
72.0ms
(sqrt (- (* (exp x) (exp x)) (* 1 1)))
16.0ms
(sqrt (sqrt (+ (exp x) 1)))

prune250.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

4.6b
(- (* 1 1) (* (exp x) 1))
0.0b
(pow (exp x) 3)
0.0b
(* (exp x) (exp x))
0.0b
(/ (+ (pow (exp x) 3) (pow 1 3)) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))

rewrite163.0ms

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
132.0ms
(/ (+ (pow (exp x) 3) (pow 1 3)) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))
13.0ms
(* (exp x) (exp x))
11.0ms
(- (* 1 1) (* (exp x) 1))
3.0ms
(pow (exp x) 3)

series176.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
89.0ms
(/ (+ (pow (exp x) 3) (pow 1 3)) (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))
39.0ms
(pow (exp x) 3)
26.0ms
(- (* 1 1) (* (exp x) 1))
23.0ms
(* (exp x) (exp x))

simplify14.3s

Counts
142 → 148
Calls
142 calls:
Slowest
405.0ms
(/ (* (* (+ (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)))))
282.0ms
(/ (* (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))))))
279.0ms
(/ (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))) (* (cbrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))) (cbrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1))))))
268.0ms
(* (exp (* (cbrt x) (cbrt x))) (exp (* (cbrt x) (cbrt x))))
251.0ms
(/ (+ (pow (exp x) 3) (pow 1 3)) (sqrt (+ (* (exp x) (exp x)) (- (* 1 1) (* (exp x) 1)))))

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

4.6b
(log (- 1 (* (exp x) (- 1 (exp x)))))
4.6b
(- 1 (exp x))
0.1b
(log (+ (exp (+ (+ x x) x)) 1))
0.0b
(* (exp x) (- 1 (exp x)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
8×pow1 add-cube-cbrt
7×log-prod add-exp-log
6×add-cbrt-cube associate-*r* add-log-exp
4×log-div insert-posit16 difference-of-squares
3×sub-neg flip3-- associate-*l* flip--
2×distribute-rgt-in distribute-lft-in rem-log-exp associate-*r/ log-pow distribute-lft-out--
1×flip3-+ diff-log pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 75
Calls
4 calls:
Slowest
112.0ms
(log (+ (exp (+ (+ x x) x)) 1))
52.0ms
(* (exp x) (- 1 (exp x)))
6.0ms
(- 1 (exp x))
3.0ms
(log (- 1 (* (exp x) (- 1 (exp x)))))

series273.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
148.0ms
(log (- 1 (* (exp x) (- 1 (exp x)))))
61.0ms
(log (+ (exp (+ (+ x x) x)) 1))
48.0ms
(* (exp x) (- 1 (exp x)))
16.0ms
(- 1 (exp x))

simplify3.8s

Counts
50 → 87
Calls
50 calls:
Slowest
374.0ms
(log (- (* 1 1) (* (* (exp x) (- 1 (exp x))) (* (exp x) (- 1 (exp x))))))
361.0ms
(log (- (pow 1 3) (pow (* (exp x) (- 1 (exp x))) 3)))
259.0ms
(* (* (* (exp x) (exp x)) (exp x)) (* (* (- 1 (exp x)) (- 1 (exp x))) (- 1 (exp x))))
233.0ms
(log (+ (pow (exp (+ (+ x x) x)) 3) (pow 1 3)))
230.0ms
(log (- (+ (pow (exp x) 2) 1) (exp x)))

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

4.6b
(- (exp x) 1)
0.0b
(* (exp x) (- (exp x) 1))
0.0b
(* (exp x) (exp x))
0.0b
(/ (+ (* (* (exp x) (exp x)) (exp x)) 1) (+ 1 (* (exp x) (- (exp x) 1))))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
30×*-un-lft-identity
24×add-cube-cbrt
18×exp-prod
13×pow1
10×add-cbrt-cube associate-*r*
9×times-frac
7×add-exp-log
6×associate-*l* add-log-exp
5×pow-prod-down
4×pow-sqr pow-prod-up insert-posit16 difference-of-squares
3×associate-/r* sub-neg swap-sqr associate-/l*
2×distribute-rgt-in distribute-lft-in flip3-+ flip3-- difference-of-sqr-1 prod-exp associate-*r/ associate-/r/ *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out-- unswap-sqr associate-/l/
1×pow2 cbrt-undiv clear-num frac-2neg pow-plus diff-log div-exp div-inv
Counts
4 → 113
Calls
4 calls:
Slowest
164.0ms
(/ (+ (* (* (exp x) (exp x)) (exp x)) 1) (+ 1 (* (exp x) (- (exp x) 1))))
54.0ms
(* (exp x) (- (exp x) 1))
27.0ms
(* (exp x) (exp x))
16.0ms
(- (exp x) 1)

series161.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
94.0ms
(/ (+ (* (* (exp x) (exp x)) (exp x)) 1) (+ 1 (* (exp x) (- (exp x) 1))))
34.0ms
(* (exp x) (- (exp x) 1))
17.0ms
(- (exp x) 1)
16.0ms
(* (exp x) (exp x))

simplify6.7s

Counts
106 → 125
Calls
106 calls:
Slowest
552.0ms
(- 1 (* (exp x) (- (exp x) 1)))
342.0ms
(- (* (* (* (exp x) (exp x)) (exp x)) (* (* (exp x) (exp x)) (exp x))) (* 1 1))
327.0ms
(+ (* 1 1) (- (* (* (exp x) (- (exp x) 1)) (* (exp x) (- (exp x) 1))) (* 1 (* (exp x) (- (exp x) 1)))))
317.0ms
(* (* (* (exp x) (exp x)) (exp x)) (* (* (- (exp x) 1) (- (exp x) 1)) (- (exp x) 1)))
304.0ms
(+ (pow (* (* (exp x) (exp x)) (exp x)) 3) (pow 1 3))

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch4.0ms

end0.0ms

sample9.6s

Algorithm
intervals
Results
6.6s6805×body10240exit
1.4s12635×body80nan
999.0ms7386×body80valid
167.0ms721×body160valid