Details

Time bar (total: 3.9m)

sample42.0ms

Algorithm
intervals
Results
18.0ms78×body640valid
8.0ms40×body320valid
7.0ms118×body80valid
2.0ms20×body160valid

simplify32.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
32.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize13.0ms

Local error

Found 3 expressions with local error:

2.5b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (+ x 1))
0.0b
(/ 1 (- x 1))

rewrite135.0ms

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
68.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
16.0ms
(/ 1 (- x 1))
16.0ms
(/ 1 (+ x 1))

series135.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
106.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
14.0ms
(/ 1 (- x 1))
14.0ms
(/ 1 (+ x 1))

simplify3.5m

Counts
1141 → 647
Calls
1141 calls:
Slowest
1.1s
(fma (/ 1 (- (* x x) (* 1 1))) (- x 1) (- (* (+ x 1) (/ 1 (- (* x x) (* 1 1))))))
921.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))
765.0ms
(fma (- (/ (sqrt 1) (- (sqrt x) 1))) (/ (sqrt 1) (+ (sqrt x) 1)) (* (/ (sqrt 1) (- (sqrt x) 1)) (/ (sqrt 1) (+ (sqrt x) 1))))
692.0ms
(fma 1 (/ 1 (+ x 1)) (- (* (/ (sqrt 1) (- (sqrt x) 1)) (/ (sqrt 1) (+ (sqrt x) 1)))))
625.0ms
(fma (- (+ x 1)) (/ 1 (- (* x x) (* 1 1))) (* (+ x 1) (/ 1 (- (* x x) (* 1 1)))))

prune4.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 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))

series91.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(/ 1 (fma x x -1))
45.0ms
(* (/ 1 (fma x x -1)) -2)

simplify4.9s

Counts
60 → 78
Calls
60 calls:
Slowest
852.0ms
(* (* (* (/ 1 (fma x x -1)) (/ 1 (fma x x -1))) (/ 1 (fma x x -1))) (* (* -2 -2) -2))
369.0ms
(* (/ (* (* 1 1) 1) (* (* (fma x x -1) (fma x x -1)) (fma x x -1))) (* (* -2 -2) -2))
249.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))
248.0ms
(+ (/ 1 (pow x 4)) (+ (/ 1 (pow x 6)) (/ 1 (pow x 2))))
236.0ms
(- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2))))))

prune649.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

16.7b
(cbrt (fma x x -1))
16.7b
(cbrt (fma x x -1))
16.7b
(cbrt (fma x x -1))
0.2b
(* (cbrt (fma x x -1)) (cbrt (fma x x -1)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
Slowest
7.0ms
(* (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))

series703.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
194.0ms
(cbrt (fma x x -1))
180.0ms
(cbrt (fma x x -1))
165.0ms
(cbrt (fma x x -1))
164.0ms
(* (cbrt (fma x x -1)) (cbrt (fma x x -1)))

simplify5.1s

Counts
65 → 97
Calls
65 calls:
Slowest
457.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
427.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
412.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
320.0ms
(- (pow (/ -1 x) -2/3) (+ (* 1/9 (pow (/ 1 (pow x 10)) 1/3)) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))))
302.0ms
(- (pow (/ -1 x) -4/3) (+ (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) (* 1/9 (pow (/ 1 (pow x 8)) 1/3))))

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

16.7b
(cbrt (fma x x -1))
16.7b
(cbrt (fma x x -1))
16.7b
(cbrt (fma x x -1))
16.7b
(cbrt (fma x x -1))

rewrite7.0ms

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
2.0ms
(cbrt (fma x x -1))
2.0ms
(cbrt (fma x x -1))
1.0ms
(cbrt (fma x x -1))
1.0ms
(cbrt (fma x x -1))

series622.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
162.0ms
(cbrt (fma x x -1))
161.0ms
(cbrt (fma x x -1))
154.0ms
(cbrt (fma x x -1))
145.0ms
(cbrt (fma x x -1))

simplify4.3s

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)))))
427.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
396.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
386.0ms
(- (pow -1 1/3) (+ (* 1/3 (* (pow x 2) (pow -1 1/3))) (* 1/9 (* (pow x 4) (pow -1 1/3)))))
331.0ms
(- (pow (/ 1 x) -2/3) (+ (* 1/9 (pow (/ 1 (pow x 10)) 1/3)) (* 1/3 (pow (/ 1 (pow x 4)) 1/3))))

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.3b remaining)

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

bsearch1.0ms

end0.0ms

sample2.2s

Algorithm
intervals
Results
867.0ms4182×body80valid
749.0ms1925×body640valid
336.0ms1245×body320valid
106.0ms648×body160valid