Details

Time bar (total: 1.3m)

sample16.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
9.0ms
(/ x (+ (* x x) 1))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize6.0ms

Local error

Found 1 expressions with local error:

11.7b
(/ 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))

series69.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
69.0ms
(/ x (fma x x 1))

simplify1.7s

Counts
28 → 33
Calls
28 calls:
Slowest
591.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
261.0ms
(- (+ x (pow x 5)) (pow x 3))
198.0ms
(/ (* (* x x) x) (* (* (fma x x 1) (fma x x 1)) (fma x x 1)))
183.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
71.0ms
(/ (* (cbrt x) (cbrt x)) (* (cbrt (fma x x 1)) (cbrt (fma x x 1))))

prune264.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

11.6b
(sqrt (fma x x 1))
11.6b
(sqrt (fma x x 1))
0.0b
(/ x (sqrt (fma x x 1)))
0.0b
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
276×times-frac
160×add-sqr-sqrt
158×*-un-lft-identity add-cube-cbrt
150×sqrt-prod
25×associate-/l*
12×associate-/r*
11×add-cbrt-cube add-exp-log
9×div-inv
6×pow1
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
1×associate-/l/
Counts
4 → 252
Calls
4 calls:
Slowest
9.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
7.0ms
(/ x (sqrt (fma x x 1)))
1.0ms
(sqrt (fma x x 1))
1.0ms
(sqrt (fma x x 1))

series263.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
95.0ms
(/ x (sqrt (fma x x 1)))
67.0ms
(/ (/ x (sqrt (fma x x 1))) (sqrt (fma x x 1)))
60.0ms
(sqrt (fma x x 1))
42.0ms
(sqrt (fma x x 1))

simplify15.8s

Counts
362 → 264
Calls
362 calls:
Slowest
387.0ms
(/ (/ (* (* x x) x) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1)))) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1))))
363.0ms
(/ (* (* (/ x (sqrt (fma x x 1))) (/ x (sqrt (fma x x 1)))) (/ x (sqrt (fma x x 1)))) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1))))
327.0ms
(/ (* (* x x) x) (* (* (sqrt (fma x x 1)) (sqrt (fma x x 1))) (sqrt (fma x x 1))))
244.0ms
(- (+ x (pow x 5)) (pow x 3))
232.0ms
(- (* 1/8 (/ 1 (pow x 3))) (+ x (* 1/2 (/ 1 x))))

prune2.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

18.8b
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
0.4b
(/ 1 (* (* x x) x))
0.1b
(/ 1 (pow x 5))
0.1b
(* (* x x) x)

rewrite268.0ms

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
195.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
48.0ms
(/ 1 (* (* x x) x))
14.0ms
(* (* x x) x)
7.0ms
(/ 1 (pow x 5))

series204.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
59.0ms
(* (* x x) x)
54.0ms
(/ 1 (pow x 5))
51.0ms
(- (+ (/ 1 x) (/ 1 (pow x 5))) (/ 1 (* (* x x) x)))
40.0ms
(/ 1 (* (* x x) x))

simplify49.7s

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)))
627.0ms
(* (+ (* (/ 1 x) (/ 1 x)) (- (* (/ 1 (pow x 5)) (/ 1 (pow x 5))) (* (/ 1 x) (/ 1 (pow x 5))))) (* (* x x) x))
590.0ms
(fma (- (/ 1 (* (* x x) x))) 1 (* (/ 1 (* (* x x) x)) 1))
552.0ms
(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))

prune2.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

38.2b
(cbrt (* (/ x (fma x x 1)) (* (/ x (fma x x 1)) (/ x (fma x x 1)))))
11.7b
(/ x (fma x x 1))
11.7b
(/ x (fma x x 1))
11.7b
(/ x (fma x x 1))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
10×add-cbrt-cube add-exp-log
9×associate-/r* associate-/l*
7×cbrt-div
5×frac-times associate-*r/
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp associate-*l/ div-inv
1×cbrt-prod pow1/3 cube-unmult rem-cbrt-cube
Counts
4 → 110
Calls
4 calls:
Slowest
33.0ms
(cbrt (* (/ x (fma x x 1)) (* (/ x (fma x x 1)) (/ x (fma x x 1)))))
4.0ms
(/ x (fma x x 1))
4.0ms
(/ x (fma x x 1))
4.0ms
(/ x (fma x x 1))

series359.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
114.0ms
(cbrt (* (/ x (fma x x 1)) (* (/ x (fma x x 1)) (/ x (fma x x 1)))))
86.0ms
(/ x (fma x x 1))
86.0ms
(/ x (fma x x 1))
73.0ms
(/ x (fma x x 1))

simplify5.5s

Counts
95 → 122
Calls
95 calls:
Slowest
550.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))
308.0ms
(- (+ x (pow x 5)) (pow x 3))
292.0ms
(- (+ x (pow x 5)) (pow x 3))
278.0ms
(- (+ x (pow x 5)) (pow x 3))
254.0ms
(- (+ (/ 1 (pow x 5)) (/ 1 x)) (/ 1 (pow x 3)))

prune942.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.1b

bsearch88.0ms

end0.0ms

sample733.0ms

Algorithm
intervals
Results
588.0ms8000×body80valid