Details

Time bar (total: 3.8m)

sample55.0ms

Algorithm
intervals
Results
21.0ms64×body640valid
12.0ms139×body80valid
9.0ms35×body320valid
3.0ms18×body160valid

simplify25.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
25.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize29.0ms

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))

rewrite154.0ms

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
84.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
23.0ms
(/ 1 (+ x 1))
22.0ms
(/ 1 (- x 1))

series136.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
89.0ms
(- (/ 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
774.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (+ (* x x) (+ (* 1 1) (* x 1))) (/ 1 (- (pow x 3) (pow 1 3))))))
739.0ms
(fma (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ x 1))) (- (* (+ x 1) (/ 1 (- (* x x) (* 1 1))))))
716.0ms
(fma (/ 1 (sqrt (+ x 1))) (/ 1 (sqrt (+ x 1))) (- (* (/ 1 (- (sqrt x) 1)) (/ 1 (+ (sqrt x) 1)))))
669.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (+ x 1) (/ 1 (- (* x x) (* 1 1))))))
643.0ms
(fma 1 (/ 1 (+ x 1)) (- (* (/ (sqrt 1) (cbrt (- x 1))) (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))))))

prune4.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ 1 (fma x x -1))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
5×add-exp-log
3×associate-/r* add-cbrt-cube associate-/l*
2×pow1 div-exp
1×expm1-log1p-u cbrt-undiv rec-exp clear-num frac-2neg 1-exp insert-posit16 log1p-expm1-u div-inv pow-flip inv-pow add-log-exp
Counts
1 → 34
Calls
1 calls:
Slowest
4.0ms
(/ 1 (fma x x -1))

series52.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
52.0ms
(/ 1 (fma x x -1))

simplify1.6s

Counts
30 → 37
Calls
30 calls:
Slowest
272.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
264.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
201.0ms
(/ (* (* 1 1) 1) (* (* (fma x x -1) (fma x x -1)) (fma x x -1)))
191.0ms
(- (+ (pow x 2) (+ (pow x 4) 1)))
90.0ms
(/ (* (cbrt 1) (cbrt 1)) (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))

prune290.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

12.1b
(cbrt (fma x x -1))
12.1b
(cbrt (fma x x -1))
12.1b
(cbrt (fma x x -1))
0.6b
(/ 1 (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))

rewrite25.0ms

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
22.0ms
(/ 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))

series734.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
201.0ms
(cbrt (fma x x -1))
182.0ms
(/ 1 (* (cbrt (fma x x -1)) (cbrt (fma x x -1))))
179.0ms
(cbrt (fma x x -1))
173.0ms
(cbrt (fma x x -1))

simplify5.6s

Counts
45 → 92
Calls
45 calls:
Slowest
945.0ms
(/ (* (* 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)))))
456.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
455.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
429.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
306.0ms
(- (pow (/ 1 x) -2/3) (+ (* 1/9 (pow (/ 1 (pow x 10)) 1/3)) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))))

prune938.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

12.1b
(cbrt (fma x x -1))
12.1b
(cbrt (fma x x -1))
12.1b
(cbrt (fma x x -1))
12.1b
(cbrt (fma x x -1))

rewrite3.0ms

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))

series629.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
183.0ms
(cbrt (fma x x -1))
153.0ms
(cbrt (fma x x -1))
153.0ms
(cbrt (fma x x -1))
139.0ms
(cbrt (fma x x -1))

simplify4.1s

Counts
24 → 68
Calls
24 calls:
Slowest
438.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
424.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
415.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
373.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
311.0ms
(- (pow (/ -1 x) -2/3) (+ (* 1/9 (pow (/ 1 (pow x 10)) 1/3)) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))))

prune984.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.4b remaining)

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

bsearch2.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
741.0ms1892×body640valid
509.0ms675×body160valid
358.0ms4181×body80valid
308.0ms1252×body320valid