Details

Time bar (total: 3.9m)

sample56.0ms

Algorithm
intervals
Results
23.0ms67×body640valid
11.0ms132×body80valid
8.0ms34×body320valid
4.0ms23×body160valid

simplify26.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize26.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
850×*-un-lft-identity
783×times-frac
710×add-sqr-sqrt
486×prod-diff
454×add-cube-cbrt
125×difference-of-squares
98×associate-/r/
94×distribute-lft-out
81×distribute-lft-out--
58×difference-of-sqr-1
52×div-inv
30×flip-+
29×flip3-+
21×flip--
20×flip3--
18×fma-neg
11×associate-/r* add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×pow1 add-log-exp
4×div-exp
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×cbrt-undiv rec-exp clear-num frac-2neg 1-exp pow-flip inv-pow
1×sub-neg diff-log frac-sub
Counts
3 → 638
Calls
3 calls:
Slowest
72.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
15.0ms
(/ 1 (- x 1))
8.0ms
(/ 1 (+ x 1))

series132.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
84.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
25.0ms
(/ 1 (- x 1))
23.0ms
(/ 1 (+ x 1))

simplify3.5m

Counts
1141 → 647
Calls
1141 calls:
Slowest
805.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (+ x 1) (/ 1 (- (* x x) (* 1 1))))))
677.0ms
(fma (- (+ (* x x) (+ (* 1 1) (* x 1)))) (/ 1 (- (pow x 3) (pow 1 3))) (* (+ (* x x) (+ (* 1 1) (* x 1))) (/ 1 (- (pow x 3) (pow 1 3)))))
673.0ms
(fma (/ (sqrt 1) 1) (/ (sqrt 1) (+ x 1)) (- (* (/ 1 (- (sqrt x) 1)) (/ 1 (+ (sqrt x) 1)))))
653.0ms
(fma (- (+ (* x x) (+ (* 1 1) (* x 1)))) (/ 1 (- (pow x 3) (pow 1 3))) (* (+ (* x x) (+ (* 1 1) (* x 1))) (/ 1 (- (pow x 3) (pow 1 3)))))
604.0ms
(fma (/ (sqrt 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt 1) (cbrt (+ x 1))) (- (* (/ (sqrt 1) (cbrt (- x 1))) (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))))))

prune5.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.4b
(/ 1 (fma x x -1))
0.0b
(* (/ 1 (fma x x -1)) -2)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log
13×associate-*l*
9×add-cbrt-cube
5×pow1
4×div-exp prod-exp
3×associate-/r* associate-*r* associate-/l* unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp 1-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
2 → 72
Calls
2 calls:
Slowest
11.0ms
(* (/ 1 (fma x x -1)) -2)
8.0ms
(/ 1 (fma x x -1))

series104.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
55.0ms
(* (/ 1 (fma x x -1)) -2)
49.0ms
(/ 1 (fma x x -1))

simplify5.6s

Counts
60 → 78
Calls
60 calls:
Slowest
940.0ms
(* (* (* (/ 1 (fma x x -1)) (/ 1 (fma x x -1))) (/ 1 (fma x x -1))) (* (* -2 -2) -2))
609.0ms
(/ (* (* 1 1) 1) (* (* (fma x x -1) (fma x x -1)) (fma x x -1)))
380.0ms
(* (/ (* (* 1 1) 1) (* (* (fma x x -1) (fma x x -1)) (fma x x -1))) (* (* -2 -2) -2))
254.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
244.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))

prune637.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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))
0.7b
(/ 1 (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×add-exp-log
12×pow1
9×cbrt-prod add-sqr-sqrt *-un-lft-identity pow1/3 add-cube-cbrt pow-flip
7×add-cbrt-cube
4×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u add-log-exp
3×times-frac prod-exp associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 clear-num associate-/r* frac-2neg pow-plus cbrt-unprod div-inv inv-pow
Counts
4 → 80
Calls
4 calls:
Slowest
23.0ms
(/ 1 (* (cbrt (fma x x -1)) (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))

series626.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
184.0ms
(/ 1 (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
167.0ms
(cbrt (fma x x -1))
141.0ms
(cbrt (fma x x -1))
134.0ms
(cbrt (fma x x -1))

simplify5.4s

Counts
45 → 92
Calls
45 calls:
Slowest
789.0ms
(/ (* (* 1 1) 1) (* (* (* (cbrt (fma x x -1)) (cbrt (fma x x -1))) (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))) (* (cbrt (fma x x -1)) (cbrt (fma x x -1)))))
459.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
421.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
375.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
340.0ms
(- (pow (/ 1 x) -2/3) (+ (* 1/9 (pow (/ 1 (pow x 10)) 1/3)) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))))

prune977.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

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))
15.0b
(cbrt (fma x x -1))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
Slowest
1.0ms
(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))

series588.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
167.0ms
(cbrt (fma x x -1))
153.0ms
(cbrt (fma x x -1))
137.0ms
(cbrt (fma x x -1))
130.0ms
(cbrt (fma x x -1))

simplify3.5s

Counts
24 → 68
Calls
24 calls:
Slowest
352.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
341.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
329.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
282.0ms
(- (pow (/ 1 x) -2/3) (+ (* 1/9 (pow (/ 1 (pow x 10)) 1/3)) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))))
281.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))

prune929.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch1.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
987.0ms1887×body640valid
408.0ms4173×body80valid
403.0ms1307×body320valid
98.0ms633×body160valid