Details

Time bar (total: 4.5m)

sample43.0ms

Algorithm
intervals
Results
15.0ms61×body640valid
8.0ms136×body80valid
8.0ms39×body320valid
2.0ms20×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: 12.8b

localize42.0ms

Local error

Found 3 expressions with local error:

2.6b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))

rewrite122.0ms

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
79.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
12.0ms
(/ 1 (- x 1))
11.0ms
(/ 1 (+ x 1))

series123.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
81.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
22.0ms
(/ 1 (+ x 1))
20.0ms
(/ 1 (- x 1))

simplify3.4m

Counts
1141 → 647
Calls
1141 calls:
Slowest
731.0ms
(fma (- (/ (cbrt 1) (cbrt (- x 1)))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt 1) (cbrt (- x 1))) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (- x 1)) (cbrt (- x 1))))))
671.0ms
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (+ x 1) (/ 1 (- (* x x) (* 1 1))))))
671.0ms
(fma (- (/ (cbrt 1) (- (sqrt x) 1))) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt x) 1)) (* (/ (cbrt 1) (- (sqrt x) 1)) (/ (* (cbrt 1) (cbrt 1)) (+ (sqrt x) 1))))
657.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
644.0ms
(fma (- (/ 1 (- (sqrt x) 1))) (/ 1 (+ (sqrt x) 1)) (* (/ 1 (- (sqrt x) 1)) (/ 1 (+ (sqrt x) 1))))

prune4.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (fma x x -1))
0.0b
(* (/ 1 (fma x x -1)) -2)

rewrite26.0ms

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
18.0ms
(* (/ 1 (fma x x -1)) -2)
8.0ms
(/ 1 (fma x x -1))

series84.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
45.0ms
(* (/ 1 (fma x x -1)) -2)
38.0ms
(/ 1 (fma x x -1))

simplify5.1s

Counts
60 → 78
Calls
60 calls:
Slowest
893.0ms
(* (* (* (/ 1 (fma x x -1)) (/ 1 (fma x x -1))) (/ 1 (fma x x -1))) (* (* -2 -2) -2))
333.0ms
(* (/ (* (* 1 1) 1) (* (* (fma x x -1) (fma x x -1)) (fma x x -1))) (* (* -2 -2) -2))
291.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
241.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
230.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))

prune590.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

16.4b
(cbrt (fma x x -1))
16.4b
(cbrt (fma x x -1))
16.4b
(cbrt (fma x x -1))
0.1b
(/ (/ 1 (cbrt (fma x x -1))) (cbrt (fma x x -1)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
258×times-frac
144×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
141×cbrt-prod
22×associate-/l*
13×add-exp-log
8×div-inv
7×pow1
6×associate-/r* add-cbrt-cube div-exp
5×pow1/3
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp clear-num frac-2neg 1-exp inv-pow associate-/l/
Counts
4 → 225
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))

series673.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
182.0ms
(cbrt (fma x x -1))
178.0ms
(cbrt (fma x x -1))
168.0ms
(cbrt (fma x x -1))
145.0ms
(/ (/ 1 (cbrt (fma x x -1))) (cbrt (fma x x -1)))

simplify27.3s

Counts
323 → 237
Calls
323 calls:
Slowest
712.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
478.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
448.0ms
(/ (* (* (/ 1 (cbrt (fma x x -1))) (/ 1 (cbrt (fma x x -1)))) (/ 1 (cbrt (fma x x -1)))) (fma x x -1))
351.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
309.0ms
(- (pow (/ 1 x) -2/3) (+ (* 1/9 (pow (/ 1 (pow x 10)) 1/3)) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))))

prune2.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

16.4b
(cbrt (fma x x -1))
16.4b
(cbrt (fma x x -1))
16.4b
(cbrt (fma x x -1))
0.2b
(* (/ 1 (cbrt (fma x x -1))) (/ 1 (cbrt (fma x x -1))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
129×add-sqr-sqrt
112×times-frac
81×*-un-lft-identity
65×cbrt-prod
59×add-cube-cbrt
44×add-exp-log
25×unswap-sqr
24×swap-sqr
22×associate-*r* associate-*l*
19×pow1
16×div-exp prod-exp
14×pow-flip
12×add-cbrt-cube
9×pow1/3
8×rec-exp 1-exp inv-pow
6×pow-prod-up div-inv
4×expm1-log1p-u cbrt-undiv pow-prod-down pow-sqr cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×pow2 frac-times pow-plus associate-*l/ associate-*r/ un-div-inv *-commutative
Counts
4 → 186
Calls
4 calls:
Slowest
24.0ms
(* (/ 1 (cbrt (fma x x -1))) (/ 1 (cbrt (fma x x -1))))
6.0ms
(cbrt (fma x x -1))
1.0ms
(cbrt (fma x x -1))
1.0ms
(cbrt (fma x x -1))

series673.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
190.0ms
(cbrt (fma x x -1))
181.0ms
(cbrt (fma x x -1))
168.0ms
(cbrt (fma x x -1))
132.0ms
(* (/ 1 (cbrt (fma x x -1))) (/ 1 (cbrt (fma x x -1))))

simplify17.3s

Counts
213 → 198
Calls
213 calls:
Slowest
767.0ms
(* (* (* (/ 1 (cbrt (fma x x -1))) (/ 1 (cbrt (fma x x -1)))) (/ 1 (cbrt (fma x x -1)))) (/ (* (* 1 1) 1) (fma x x -1)))
598.0ms
(* (/ (* (* 1 1) 1) (fma x x -1)) (/ (* (* 1 1) 1) (fma x x -1)))
403.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
397.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
381.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes73.0ms

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
1.0s1945×body640valid
404.0ms4207×body80valid
319.0ms1207×body320valid
116.0ms641×body160valid