Details

Time bar (total: 1.6m)

sample51.0ms

Algorithm
intervals
Results
23.0ms66×body640valid
11.0ms140×body80valid
6.0ms33×body320valid
2.0ms17×body160valid

simplify26.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
26.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize23.0ms

Local error

Found 2 expressions with local error:

2.2b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
370×*-un-lft-identity
366×times-frac
277×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
37×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
10×distribute-lft-out--
9×difference-of-squares
6×add-exp-log
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-- diff-log 1-exp frac-sub pow-flip flip-- inv-pow
Counts
2 → 327
Calls
2 calls:
Slowest
71.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
15.0ms
(/ 1 (+ x 1))

series59.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
32.0ms
(/ 1 (+ x 1))
27.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

simplify1.1m

Counts
563 → 333
Calls
563 calls:
Slowest
481.0ms
(fma (- (/ (sqrt 1) (sqrt x))) (/ (sqrt 1) (sqrt x)) (* (/ (sqrt 1) (sqrt x)) (/ (sqrt 1) (sqrt x))))
412.0ms
(fma (- (/ (sqrt 1) x)) (/ (sqrt 1) 1) (* (/ (sqrt 1) x) (/ (sqrt 1) 1)))
394.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ 1 x) (/ 1 1))))
389.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (/ (cbrt 1) x) (/ (* (cbrt 1) (cbrt 1)) 1))))
388.0ms
(fma (/ 1 (+ (pow x 3) (pow 1 3))) (+ (* x x) (- (* 1 1) (* x 1))) (- (* (sqrt (/ 1 x)) (sqrt (/ 1 x)))))

prune2.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ -1 (fma x x x))

rewrite5.0ms

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
(/ -1 (fma x x x))

series33.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
32.0ms
(/ -1 (fma x x x))

simplify1.4s

Counts
28 → 33
Calls
28 calls:
Slowest
293.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
272.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
193.0ms
(/ (* (* -1 -1) -1) (* (* (fma x x x) (fma x x x)) (fma x x x)))
74.0ms
(- 1 (+ x (/ 1 x)))
72.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (fma x x x)) (cbrt (fma x x x))))

prune232.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

13.0b
(fma (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1))) (- (/ 1 x)))
0.0b
(sqrt (/ 1 (+ x 1)))
0.0b
(sqrt (/ 1 (+ x 1)))
0.0b
(/ 1 (+ x 1))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
40×times-frac
37×add-sqr-sqrt
36×sqrt-prod
29×add-cube-cbrt
10×distribute-lft-out
9×pow1
8×add-exp-log
6×rem-sqrt-square sqrt-pow1 add-cbrt-cube associate-/r/
4×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u add-log-exp
3×flip3-+ flip-+ div-inv pow-flip associate-/l* inv-pow
2×pow1/2 sqrt-div div-exp
1×cbrt-undiv rec-exp clear-num frac-2neg 1-exp fma-udef
Counts
4 → 123
Calls
4 calls:
Slowest
16.0ms
(/ 1 (+ x 1))
9.0ms
(sqrt (/ 1 (+ x 1)))
6.0ms
(sqrt (/ 1 (+ x 1)))
0.0ms
(fma (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1))) (- (/ 1 x)))

series231.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
116.0ms
(fma (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1))) (- (/ 1 x)))
45.0ms
(sqrt (/ 1 (+ x 1)))
44.0ms
(sqrt (/ 1 (+ x 1)))
25.0ms
(/ 1 (+ x 1))

simplify2.8s

Counts
98 → 135
Calls
98 calls:
Slowest
236.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
224.0ms
(sqrt (/ 1 (+ (pow x 3) (pow 1 3))))
212.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
188.0ms
(sqrt (/ 1 (+ (pow x 3) (pow 1 3))))
177.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))

prune1.3s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

32.4b
(cbrt (/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x)))
0.2b
(/ -1 (* (fma x x x) (fma x x x)))
0.1b
(/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x))
0.1b
(* (fma x x x) (fma x x x))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
42×add-sqr-sqrt
40×*-un-lft-identity add-cube-cbrt
25×cbrt-prod
20×add-cbrt-cube add-exp-log
11×pow1
10×div-inv associate-/l*
7×cbrt-undiv div-exp
4×expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u add-log-exp
3×swap-sqr associate-*r* associate-*l* prod-exp cbrt-unprod
2×clear-num frac-2neg fma-udef
1×pow2 distribute-rgt-in cbrt-div distribute-lft-in pow-plus pow1/3 pow-prod-down pow-sqr *-commutative pow-prod-up unswap-sqr associate-/l/
Counts
4 → 142
Calls
4 calls:
Slowest
28.0ms
(/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x))
12.0ms
(/ -1 (* (fma x x x) (fma x x x)))
12.0ms
(* (fma x x x) (fma x x x))
9.0ms
(cbrt (/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x)))

series211.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
94.0ms
(cbrt (/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x)))
41.0ms
(/ (/ -1 (* (fma x x x) (fma x x x))) (fma x x x))
39.0ms
(/ -1 (* (fma x x x) (fma x x x)))
37.0ms
(* (fma x x x) (fma x x x))

simplify21.4s

Counts
130 → 154
Calls
130 calls:
Slowest
704.0ms
(- (* 3 (/ 1 (pow x 7))) (+ (* 6 (/ 1 (pow x 8))) (/ 1 (pow x 6))))
532.0ms
(* (* (* (fma x x x) (fma x x x)) (fma x x x)) (* (* (fma x x x) (fma x x x)) (fma x x x)))
499.0ms
(/ (/ -1 (* (fma x x x) (fma x x x))) (sqrt (fma x x x)))
481.0ms
(/ (/ 1 (* (fma x x x) (fma x x x))) (cbrt (fma x x x)))
478.0ms
(/ (/ -1 (* (fma x x x) (fma x x x))) (cbrt (fma x x x)))

prune1.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch1.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
659.0ms1952×body640valid
452.0ms4141×body80valid
290.0ms1279×body320valid
91.0ms629×body160valid