Details

Time bar (total: 3.9m)

sample49.0ms

Algorithm
intervals
Results
17.0ms70×body640valid
13.0ms38×body320valid
8.0ms124×body80valid
4.0ms24×body160valid

simplify15.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
15.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize14.0ms

Local error

Found 3 expressions with local error:

2.9b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (+ x 1))
0.0b
(/ 1 (- x 1))

rewrite137.0ms

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
67.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
16.0ms
(/ 1 (- x 1))
10.0ms
(/ 1 (+ x 1))

series129.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
78.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
28.0ms
(/ 1 (- x 1))
23.0ms
(/ 1 (+ x 1))

simplify3.4m

Counts
1141 → 647
Calls
1141 calls:
Slowest
976.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
824.0ms
(fma (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))) (- (* (/ (sqrt 1) (- (sqrt x) (sqrt 1))) (/ (sqrt 1) (+ (sqrt x) (sqrt 1))))))
722.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (/ 1 (cbrt (- x 1))) (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))))))
659.0ms
(fma (- (/ 1 (- (sqrt x) 1))) (/ 1 (+ (sqrt x) 1)) (* (/ 1 (- (sqrt x) 1)) (/ 1 (+ (sqrt x) 1))))
647.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (+ x 1) (/ 1 (- (* x x) (* 1 1))))))

prune4.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (fma x x -1))
0.0b
(* (/ 1 (fma x x -1)) -2)

rewrite15.0ms

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
9.0ms
(* (/ 1 (fma x x -1)) -2)
4.0ms
(/ 1 (fma x x -1))

series94.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
53.0ms
(* (/ 1 (fma x x -1)) -2)
41.0ms
(/ 1 (fma x x -1))

simplify4.6s

Counts
60 → 78
Calls
60 calls:
Slowest
837.0ms
(* (* (* (/ 1 (fma x x -1)) (/ 1 (fma x x -1))) (/ 1 (fma x x -1))) (* (* -2 -2) -2))
266.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
253.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
251.0ms
(* (/ (* (* 1 1) 1) (* (* (fma x x -1) (fma x x -1)) (fma x x -1))) (* (* -2 -2) -2))
236.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))

prune559.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

18.3b
(cbrt (/ 1 (fma x x -1)))
18.3b
(cbrt (/ 1 (fma x x -1)))
18.3b
(cbrt (/ 1 (fma x x -1)))
0.7b
(/ 1 (fma x x -1))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
36×times-frac
33×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×add-exp-log
6×add-cbrt-cube
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
3×cbrt-div associate-/r* pow1/3 associate-/l*
2×div-exp
1×cbrt-undiv rec-exp clear-num frac-2neg 1-exp pow-flip inv-pow
Counts
4 → 109
Calls
4 calls:
Slowest
4.0ms
(/ 1 (fma x x -1))
2.0ms
(cbrt (/ 1 (fma x x -1)))
1.0ms
(cbrt (/ 1 (fma x x -1)))
1.0ms
(cbrt (/ 1 (fma x x -1)))

series552.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
173.0ms
(cbrt (/ 1 (fma x x -1)))
167.0ms
(cbrt (/ 1 (fma x x -1)))
149.0ms
(cbrt (/ 1 (fma x x -1)))
63.0ms
(/ 1 (fma x x -1))

simplify5.9s

Counts
81 → 121
Calls
81 calls:
Slowest
358.0ms
(+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (+ (* 2/9 (* (pow x 4) (pow -1 1/3))) (pow -1 1/3)))
334.0ms
(+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (+ (* 2/9 (* (pow x 4) (pow -1 1/3))) (pow -1 1/3)))
326.0ms
(+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (+ (* 2/9 (* (pow x 4) (pow -1 1/3))) (pow -1 1/3)))
265.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
260.0ms
(+ (pow (/ -1 x) 2/3) (+ (* 2/9 (pow (/ 1 (pow x 14)) 1/3)) (* 1/3 (pow (/ 1 (pow x 8)) 1/3))))

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

9.3b
(cbrt (* (* (* (/ 1 (fma x x -1)) -2) (* (/ 1 (fma x x -1)) -2)) (* (/ 1 (fma x x -1)) -2)))
0.7b
(/ 1 (fma x x -1))
0.7b
(/ 1 (fma x x -1))
0.7b
(/ 1 (fma x x -1))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
27×times-frac
17×associate-*l/
16×add-exp-log
10×add-cbrt-cube
9×associate-/r* associate-/l*
7×pow1 cbrt-div
6×div-exp
5×frac-times
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv rec-exp clear-num frac-2neg 1-exp associate-*r/ div-inv pow-flip inv-pow
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 122
Calls
4 calls:
Slowest
201.0ms
(cbrt (* (* (* (/ 1 (fma x x -1)) -2) (* (/ 1 (fma x x -1)) -2)) (* (/ 1 (fma x x -1)) -2)))
8.0ms
(/ 1 (fma x x -1))
8.0ms
(/ 1 (fma x x -1))
7.0ms
(/ 1 (fma x x -1))

series255.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
101.0ms
(cbrt (* (* (* (/ 1 (fma x x -1)) -2) (* (/ 1 (fma x x -1)) -2)) (* (/ 1 (fma x x -1)) -2)))
66.0ms
(/ 1 (fma x x -1))
48.0ms
(/ 1 (fma x x -1))
40.0ms
(/ 1 (fma x x -1))

simplify7.8s

Counts
102 → 134
Calls
102 calls:
Slowest
961.0ms
(cbrt (* (* (* 1 -2) (* (/ 1 (fma x x -1)) -2)) (* (/ 1 (fma x x -1)) -2)))
453.0ms
(cbrt (* (* (* (/ 1 (fma x x -1)) -2) (* 1 -2)) (* (/ 1 (fma x x -1)) -2)))
421.0ms
(cbrt (* (* (/ 1 (fma x x -1)) -2) (* (/ 1 (fma x x -1)) -2)))
289.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
277.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes42.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
817.0ms1951×body640valid
487.0ms4176×body80valid
317.0ms1217×body320valid
129.0ms656×body160valid