Details

Time bar (total: 1.1m)

sample15.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
8.0ms
(/ x (+ (* x x) 1))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize7.0ms

Local error

Found 1 expressions with local error:

14.5b
(/ x (fma x x 1))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
3×associate-/r* add-cbrt-cube add-exp-log associate-/l*
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
Slowest
4.0ms
(/ x (fma x x 1))

series57.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
57.0ms
(/ x (fma x x 1))

simplify1.1s

Counts
28 → 33
Calls
28 calls:
Slowest
231.0ms
(- (+ x (pow x 5)) (pow x 3))
190.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
184.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
165.0ms
(/ (* (* x x) x) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))
43.0ms
(/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))

prune251.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

15.0b
(cbrt (fma x x 1))
15.0b
(cbrt (fma x x 1))
15.0b
(cbrt (fma x x 1))
7.3b
(* (/ 1 (* (cbrt (fma x x 1)) (cbrt (fma x x 1)))) (/ x (cbrt (fma x x 1))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
22×associate-*r* add-cube-cbrt
21×cbrt-prod
20×prod-exp
18×add-cbrt-cube
15×div-exp
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv associate-*l*
6×pow1
4×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 115
Calls
4 calls:
Slowest
73.0ms
(* (/ 1 (* (cbrt (fma x x 1)) (cbrt (fma x x 1)))) (/ x (cbrt (fma x x 1))))
1.0ms
(cbrt (fma x x 1))
1.0ms
(cbrt (fma x x 1))
1.0ms
(cbrt (fma x x 1))

series504.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
149.0ms
(cbrt (fma x x 1))
134.0ms
(cbrt (fma x x 1))
133.0ms
(cbrt (fma x x 1))
88.0ms
(* (/ 1 (* (cbrt (fma x x 1)) (cbrt (fma x x 1)))) (/ x (cbrt (fma x x 1))))

simplify11.2s

Counts
91 → 127
Calls
91 calls:
Slowest
1.2s
(* (* (* (/ 1 (* (cbrt (fma x x 1)) (cbrt (fma x x 1)))) (/ 1 (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))) (/ 1 (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))) (/ (* (* x x) x) (fma x x 1)))
712.0ms
(* (/ (* (* 1 1) 1) (* (fma x x 1) (fma x x 1))) (* (* (/ x (cbrt (fma x x 1))) (/ x (cbrt (fma x x 1)))) (/ x (cbrt (fma x x 1)))))
533.0ms
(* (/ (* (* 1 1) 1) (* (fma x x 1) (fma x x 1))) (/ (* (* x x) x) (fma x x 1)))
317.0ms
(+ (- 0 (+ (log (cbrt (fma x x 1))) (log (cbrt (fma x x 1))))) (- (log x) (log (cbrt (fma x x 1)))))
307.0ms
(+ (- 0 (log (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))) (- (log x) (log (cbrt (fma x x 1)))))

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

20.2b
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
0.3b
(/ 1 (pow x 5))
0.1b
(* (* x x) x)
0.1b
(/ 1 (* (* x x) x))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
162×*-un-lft-identity
102×times-frac
70×add-sqr-sqrt prod-diff
67×add-cube-cbrt
64×distribute-lft-out
57×div-inv
43×pow1
39×add-exp-log
20×add-cbrt-cube
13×pow-flip
12×unpow-prod-down pow-plus div-exp prod-exp pow-prod-up
10×fma-neg distribute-lft-out--
9×add-log-exp
8×associate-/r*
6×rec-exp 1-exp pow-prod-down cbrt-unprod associate-/l*
4×pow2 expm1-log1p-u cbrt-undiv pow-sqr insert-posit16 log1p-expm1-u sqr-pow
3×pow-to-exp associate-*r* pow-exp frac-sub
2×clear-num frac-2neg diff-log pow3 inv-pow
1×sum-log sub-neg flip3-+ flip3-- associate-*l* frac-add associate--l+ *-commutative flip-+ flip-- difference-of-squares unswap-sqr
Counts
4 → 243
Calls
4 calls:
Slowest
199.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
29.0ms
(/ 1 (* (* x x) x))
14.0ms
(* (* x x) x)
11.0ms
(/ 1 (pow x 5))

series224.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
61.0ms
(/ 1 (* (* x x) x))
58.0ms
(/ 1 (pow x 5))
56.0ms
(* (* x x) x)
49.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))

simplify49.2s

Counts
280 → 255
Calls
280 calls:
Slowest
1.1s
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
1.0s
(/ (* (* 1 1) 1) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
650.0ms
(* (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (* (/ 1 x) (/ 1 (pow x 5))))) (* (* x x) x))
640.0ms
(fma 1 (+ (/ 1 x) (/ 1 (pow x 5))) (- (* (/ 1 x) (/ 1 (* x x)))))
556.0ms
(/ (* (cbrt 1) (cbrt 1)) (pow (* (cbrt x) (cbrt x)) 5))

prune2.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes38.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 14.4b

bsearch90.0ms

end0.0ms

sample614.0ms

Algorithm
intervals
Results
527.0ms8000×body80valid