Details

Time bar (total: 3.8m)

sample44.0ms

Algorithm
intervals
Results
18.0ms68×body640valid
9.0ms140×body80valid
6.0ms32×body320valid
2.0ms16×body160valid

simplify28.0ms

Calls
1 calls:
Slowest
28.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize16.0ms

Local error

Found 3 expressions with local error:

2.3b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))

rewrite131.0ms

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
Calls
3 calls:
Slowest
64.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
15.0ms
(/ 1 (- x 1))
14.0ms
(/ 1 (+ x 1))

series121.0ms

Calls
3 calls:
Slowest
81.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
23.0ms
(/ 1 (+ x 1))
16.0ms
(/ 1 (- x 1))

simplify3.4m

Calls
1141 calls:
Slowest
862.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (+ x 1) (/ 1 (- (* x x) (* 1 1))))))
680.0ms
(fma (- (/ (sqrt 1) (- (sqrt x) 1))) (/ (sqrt 1) (+ (sqrt x) 1)) (* (/ (sqrt 1) (- (sqrt x) 1)) (/ (sqrt 1) (+ (sqrt x) 1))))
670.0ms
(fma (/ (sqrt 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt 1) (cbrt (+ x 1))) (- (* (cbrt (/ 1 (- x 1))) (* (cbrt (/ 1 (- x 1))) (cbrt (/ 1 (- x 1)))))))
638.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
611.0ms
(fma (- (/ 1 (- (sqrt x) 1))) (/ 1 (+ (sqrt x) 1)) (* (/ 1 (- (sqrt x) 1)) (/ 1 (+ (sqrt x) 1))))

prune4.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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
Calls
2 calls:
Slowest
14.0ms
(* (/ 1 (fma x x -1)) -2)
4.0ms
(/ 1 (fma x x -1))

series92.0ms

Calls
2 calls:
Slowest
54.0ms
(* (/ 1 (fma x x -1)) -2)
37.0ms
(/ 1 (fma x x -1))

simplify3.5s

Calls
60 calls:
Slowest
616.0ms
(* (* (* (/ 1 (fma x x -1)) (/ 1 (fma x x -1))) (/ 1 (fma x x -1))) (* (* -2 -2) -2))
236.0ms
(* (/ (* (* 1 1) 1) (* (* (fma x x -1) (fma x x -1)) (fma x x -1))) (* (* -2 -2) -2))
184.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
176.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
152.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))

prune379.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

15.7b
(cbrt (/ 1 (fma x x -1)))
15.7b
(cbrt (/ 1 (fma x x -1)))
15.7b
(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
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)))

series393.0ms

Calls
4 calls:
Slowest
122.0ms
(cbrt (/ 1 (fma x x -1)))
115.0ms
(cbrt (/ 1 (fma x x -1)))
114.0ms
(cbrt (/ 1 (fma x x -1)))
42.0ms
(/ 1 (fma x x -1))

simplify4.0s

Calls
81 calls:
Slowest
230.0ms
(+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (+ (* 2/9 (* (pow x 4) (pow -1 1/3))) (pow -1 1/3)))
226.0ms
(+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (+ (* 2/9 (* (pow x 4) (pow -1 1/3))) (pow -1 1/3)))
226.0ms
(+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (+ (* 2/9 (* (pow x 4) (pow -1 1/3))) (pow -1 1/3)))
187.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
185.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))

prune887.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

9.9b
(cbrt (/ -8 (* (fma x x -1) (* (fma x x -1) (fma x x -1)))))
0.1b
(* (fma x x -1) (fma x x -1))
0.0b
(* (fma x x -1) (* (fma x x -1) (fma x x -1)))
0.0b
(/ -8 (* (fma x x -1) (* (fma x x -1) (fma x x -1))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1
20×add-cbrt-cube add-exp-log
16×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
7×cbrt-prod prod-exp cbrt-unprod
6×times-frac associate-*l* pow-prod-up fma-udef
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r* pow-prod-down insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv swap-sqr div-exp associate-/l*
2×pow2 pow-plus pow-sqr *-commutative div-inv unswap-sqr
1×cbrt-div clear-num associate-/r* frac-2neg pow1/3 cube-unmult
Calls
4 calls:
Slowest
18.0ms
(* (fma x x -1) (* (fma x x -1) (fma x x -1)))
13.0ms
(/ -8 (* (fma x x -1) (* (fma x x -1) (fma x x -1))))
9.0ms
(cbrt (/ -8 (* (fma x x -1) (* (fma x x -1) (fma x x -1)))))
5.0ms
(* (fma x x -1) (fma x x -1))

series224.0ms

Calls
4 calls:
Slowest
83.0ms
(cbrt (/ -8 (* (fma x x -1) (* (fma x x -1) (fma x x -1)))))
56.0ms
(/ -8 (* (fma x x -1) (* (fma x x -1) (fma x x -1))))
49.0ms
(* (fma x x -1) (* (fma x x -1) (fma x x -1)))
35.0ms
(* (fma x x -1) (fma x x -1))

simplify7.3s

Calls
81 calls:
Slowest
901.0ms
(* (* (* (fma x x -1) (fma x x -1)) (fma x x -1)) (* (* (* (fma x x -1) (fma x x -1)) (fma x x -1)) (* (* (fma x x -1) (fma x x -1)) (fma x x -1))))
427.0ms
(+ (/ (cbrt -8) (pow x 2)) (+ (/ (cbrt -8) (pow x 6)) (/ (cbrt -8) (pow x 4))))
412.0ms
(* (* -1 (fma x x -1)) (fma x x -1))
390.0ms
(* (fma x x -1) (* -1 (fma x x -1)))
385.0ms
(* (* (fma x x -1) -1) (fma x x -1))

prune636.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes19.0ms

Accuracy

0% (0.4b remaining)

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

bsearch1.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
446.0ms1924×body640valid
299.0ms1208×body320valid
275.0ms4226×body80valid
71.0ms642×body160valid