Details

Time bar (total: 4.1m)

sample56.0ms

Algorithm
intervals
Results
18.0ms68×body640valid
16.0ms42×body320valid
10.0ms127×body80valid
3.0ms19×body160valid

simplify16.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
16.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize12.0ms

Local error

Found 3 expressions with local error:

3.3b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (+ x 1))
0.0b
(/ 1 (- x 1))

rewrite141.0ms

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
73.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
17.0ms
(/ 1 (- x 1))
8.0ms
(/ 1 (+ x 1))

series130.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
86.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
25.0ms
(/ 1 (- x 1))
19.0ms
(/ 1 (+ x 1))

simplify3.5m

Counts
1141 → 647
Calls
1141 calls:
Slowest
946.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
844.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
804.0ms
(fma (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (cbrt 1) (cbrt (+ x 1))) (- (* (/ 1 (- (sqrt x) 1)) (/ 1 (+ (sqrt x) 1)))))
773.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (+ x 1) (/ 1 (- (* x x) (* 1 1))))))
718.0ms
(fma (- (/ (sqrt 1) (cbrt (- x 1)))) (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt 1) (cbrt (- x 1))) (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1))))))

prune4.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ -2 (fma x (+ x -1) (+ x -1)))
0.0b
(fma x (+ x -1) (+ x -1))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
4×add-cbrt-cube add-exp-log
3×associate-/r* associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg div-exp fma-udef div-inv
Counts
2 → 41
Calls
2 calls:
Slowest
4.0ms
(/ -2 (fma x (+ x -1) (+ x -1)))
0.0ms
(fma x (+ x -1) (+ x -1))

series190.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
115.0ms
(fma x (+ x -1) (+ x -1))
76.0ms
(/ -2 (fma x (+ x -1) (+ x -1)))

simplify5.5s

Counts
31 → 47
Calls
31 calls:
Slowest
711.0ms
(/ (* (* -2 -2) -2) (* (* (fma x (+ x -1) (+ x -1)) (fma x (+ x -1) (+ x -1))) (fma x (+ x -1) (+ x -1))))
311.0ms
(/ (cbrt -2) (sqrt (fma x (+ x -1) (+ x -1))))
309.0ms
(/ 1 (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))
307.0ms
(/ (* (cbrt -2) (cbrt -2)) (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))
303.0ms
(/ (sqrt -2) (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))

prune238.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

16.6b
(cbrt (fma x (+ x -1) (+ x -1)))
16.6b
(cbrt (fma x (+ x -1) (+ x -1)))
16.6b
(cbrt (fma x (+ x -1) (+ x -1)))
0.4b
(/ 1 (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))

rewrite14.0ms

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
11.0ms
(/ 1 (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))
1.0ms
(cbrt (fma x (+ x -1) (+ x -1)))
1.0ms
(cbrt (fma x (+ x -1) (+ x -1)))
1.0ms
(cbrt (fma x (+ x -1) (+ x -1)))

series578.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
156.0ms
(/ 1 (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1)))))
145.0ms
(cbrt (fma x (+ x -1) (+ x -1)))
139.0ms
(cbrt (fma x (+ x -1) (+ x -1)))
139.0ms
(cbrt (fma x (+ x -1) (+ x -1)))

simplify6.4s

Counts
45 → 92
Calls
45 calls:
Slowest
292.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
287.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
286.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
270.0ms
(- (log 1) (log (* (cbrt (fma x (+ x -1) (+ x -1))) (cbrt (fma x (+ x -1) (+ x -1))))))
264.0ms
(- (log 1) (+ (log (cbrt (fma x (+ x -1) (+ x -1)))) (log (cbrt (fma x (+ x -1) (+ x -1))))))

prune665.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

16.6b
(cbrt (fma x (+ x -1) (+ x -1)))
16.6b
(cbrt (fma x (+ x -1) (+ x -1)))
0.2b
(pow (cbrt (fma x (+ x -1) (+ x -1))) -2)
0.2b
(/ -2 (cbrt (fma x (+ x -1) (+ x -1))))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×cbrt-prod
18×times-frac
7×add-exp-log
6×associate-/r* unpow-prod-down
5×pow1 add-cbrt-cube
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow pow1/3 associate-/l*
2×pow-pow
1×pow-to-exp cbrt-undiv clear-num frac-2neg div-exp pow-exp div-inv sqr-pow
Counts
4 → 94
Calls
4 calls:
Slowest
4.0ms
(/ -2 (cbrt (fma x (+ x -1) (+ x -1))))
2.0ms
(pow (cbrt (fma x (+ x -1) (+ x -1))) -2)
1.0ms
(cbrt (fma x (+ x -1) (+ x -1)))
1.0ms
(cbrt (fma x (+ x -1) (+ x -1)))

series629.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
186.0ms
(pow (cbrt (fma x (+ x -1) (+ x -1))) -2)
157.0ms
(/ -2 (cbrt (fma x (+ x -1) (+ x -1))))
144.0ms
(cbrt (fma x (+ x -1) (+ x -1)))
141.0ms
(cbrt (fma x (+ x -1) (+ x -1)))

simplify12.2s

Counts
75 → 106
Calls
75 calls:
Slowest
492.0ms
(/ (sqrt -2) (cbrt (cbrt (fma x (+ x -1) (+ x -1)))))
278.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
277.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
271.0ms
(/ (* (* -2 -2) -2) (fma x (+ x -1) (+ x -1)))
250.0ms
(- (+ (* 2 (pow (/ 1 (pow x 2)) 1/3)) (+ (* 4/9 (pow (/ 1 (pow x 14)) 1/3)) (* 2/3 (pow (/ 1 (pow x 8)) 1/3)))))

prune712.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes29.0ms

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
502.0ms1912×body640valid
269.0ms4196×body80valid
243.0ms1295×body320valid
85.0ms597×body160valid