Details

Time bar (total: 28.8s)

sample62.0ms

Algorithm
intervals
Results
23.0ms68×body640valid
11.0ms127×body80valid
10.0ms42×body320valid
8.0ms19×body160valid

simplify17.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
17.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize18.0ms

Local error

Found 2 expressions with local error:

3.3b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
39×add-sqr-sqrt
36×times-frac
15×add-cube-cbrt
10×distribute-lft-out--
9×difference-of-squares
7×distribute-lft-out
6×add-exp-log
5×div-inv
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×div-exp associate-/r/ insert-posit16
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log 1-exp frac-sub flip-+ pow-flip flip-- inv-pow
Counts
2 → 71
Calls
2 calls:
Slowest
70.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
10.0ms
(/ 1 (+ x 1))

series44.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
24.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
19.0ms
(/ 1 (+ x 1))

simplify2.9s

Counts
79 → 77
Calls
79 calls:
Slowest
470.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
332.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
267.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
226.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
209.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune520.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ -1 (+ (* x x) x))
0.0b
(+ (* x x) x)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×times-frac
12×add-sqr-sqrt add-cube-cbrt
5×associate-/r* distribute-lft1-in distribute-rgt-out
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 52
Calls
2 calls:
Slowest
18.0ms
(/ -1 (+ (* x x) x))
12.0ms
(+ (* x x) x)

series109.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
74.0ms
(+ (* x x) x)
35.0ms
(/ -1 (+ (* x x) x))

simplify2.0s

Counts
49 → 58
Calls
49 calls:
Slowest
357.0ms
(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
281.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
261.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
142.0ms
(/ (* (* -1 -1) -1) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
92.0ms
(- (log -1) (log (+ (* x x) x)))

prune361.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ -1 (+ x 1)) x)
0.0b
(/ -1 (+ x 1))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
21×associate-/l*
16×distribute-lft-out
10×associate-/r/
9×add-cbrt-cube add-exp-log
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×associate-/l/
Counts
2 → 125
Calls
2 calls:
Slowest
13.0ms
(/ (/ -1 (+ x 1)) x)
8.0ms
(/ -1 (+ x 1))

series54.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
31.0ms
(/ (/ -1 (+ x 1)) x)
22.0ms
(/ -1 (+ x 1))

simplify8.7s

Counts
170 → 131
Calls
170 calls:
Slowest
430.0ms
(/ (* (* (/ -1 (+ x 1)) (/ -1 (+ x 1))) (/ -1 (+ x 1))) (* (* x x) x))
372.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt x) (cbrt x)))
367.0ms
(/ (/ -1 (+ (pow x 3) (pow 1 3))) (sqrt x))
323.0ms
(/ (/ -1 (- (* x x) (* 1 1))) (* (cbrt x) (cbrt x)))
267.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))

prune826.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (/ -1 (+ x 1)))
0.3b
(cbrt (/ -1 (+ x 1)))
0.3b
(cbrt (/ -1 (+ x 1)))
0.3b
(* (cbrt (/ -1 (+ x 1))) (cbrt (/ -1 (+ x 1))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 184
Calls
4 calls:
Slowest
37.0ms
(* (cbrt (/ -1 (+ x 1))) (cbrt (/ -1 (+ x 1))))
6.0ms
(cbrt (/ -1 (+ x 1)))
6.0ms
(cbrt (/ -1 (+ x 1)))
5.0ms
(cbrt (/ -1 (+ x 1)))

series438.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
126.0ms
(* (cbrt (/ -1 (+ x 1))) (cbrt (/ -1 (+ x 1))))
120.0ms
(cbrt (/ -1 (+ x 1)))
98.0ms
(cbrt (/ -1 (+ x 1)))
94.0ms
(cbrt (/ -1 (+ x 1)))

simplify8.7s

Counts
199 → 196
Calls
199 calls:
Slowest
464.0ms
(- (+ (* 2/9 (* (pow (/ 1 (pow x 7)) 1/3) (cbrt -1))) (* (pow (/ 1 x) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 4)) 1/3) (cbrt -1))))
422.0ms
(- (+ (* (cbrt -1) (exp (* 1/3 (+ (log (/ -1 x)) (log -1))))) (* 2/9 (/ (* (cbrt -1) (exp (* 1/3 (+ (log (/ -1 x)) (log -1))))) (pow x 2)))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (+ (log (/ -1 x)) (log -1))))) x)))
418.0ms
(- (+ (* (cbrt -1) (exp (* 1/3 (+ (log (/ -1 x)) (log -1))))) (* 2/9 (/ (* (cbrt -1) (exp (* 1/3 (+ (log (/ -1 x)) (log -1))))) (pow x 2)))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (+ (log (/ -1 x)) (log -1))))) x)))
400.0ms
(- (+ (* 2/9 (* (pow (/ 1 (pow x 7)) 1/3) (cbrt -1))) (* (pow (/ 1 x) 1/3) (cbrt -1))) (* 1/3 (* (pow (/ 1 (pow x 4)) 1/3) (cbrt -1))))
387.0ms
(- (+ (* (cbrt -1) (exp (* 1/3 (+ (log (/ -1 x)) (log -1))))) (* 2/9 (/ (* (cbrt -1) (exp (* 1/3 (+ (log (/ -1 x)) (log -1))))) (pow x 2)))) (* 1/3 (/ (* (cbrt -1) (exp (* 1/3 (+ (log (/ -1 x)) (log -1))))) x)))

prune2.0s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
953.0ms1920×body640valid
367.0ms1287×body320valid
289.0ms4196×body80valid
80.0ms599×body160valid