Details

Time bar (total: 1.2m)

sample57.0ms

Algorithm
intervals
Results
28.0ms79×body640valid
9.0ms40×body320valid
8.0ms118×body80valid
3.0ms20×body160valid

simplify20.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
20.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
39×add-sqr-sqrt
36×times-frac
15×add-cube-cbrt
10×distribute-lft-out--
9×difference-of-squares
7×distribute-lft-out
6×add-exp-log
5×div-inv
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×div-exp associate-/r/ insert-posit16
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log 1-exp frac-sub flip-+ pow-flip flip-- inv-pow
Counts
2 → 71
Calls
2 calls:
Slowest
63.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
16.0ms
(/ 1 (+ x 1))

series47.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
30.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
17.0ms
(/ 1 (+ x 1))

simplify3.1s

Counts
79 → 77
Calls
79 calls:
Slowest
489.0ms
(/ (* (* 1 1) 1) (* (* (+ x 1) (+ x 1)) (+ x 1)))
289.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
288.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
242.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))
230.0ms
(- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2)))

prune516.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ -1 (+ (* x x) x))
0.0b
(+ (* x x) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×times-frac
12×add-sqr-sqrt add-cube-cbrt
5×associate-/r* distribute-lft1-in distribute-rgt-out
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 52
Calls
2 calls:
Slowest
10.0ms
(/ -1 (+ (* x x) x))
7.0ms
(+ (* x x) x)

series111.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
76.0ms
(+ (* x x) x)
35.0ms
(/ -1 (+ (* x x) x))

simplify2.1s

Counts
49 → 58
Calls
49 calls:
Slowest
356.0ms
(+ (* (* x x) (* x x)) (- (* x x) (* (* x x) x)))
278.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
269.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
188.0ms
(/ (* (* -1 -1) -1) (* (* (+ (* x x) x) (+ (* x x) x)) (+ (* x x) x)))
89.0ms
(/ (* (cbrt -1) (cbrt -1)) (* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x))))

prune357.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ -1 x) (+ x 1))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac
78×*-un-lft-identity
50×add-sqr-sqrt add-cube-cbrt
14×distribute-lft-out
13×associate-/l*
6×add-cbrt-cube add-exp-log div-inv
4×associate-/r*
3×cbrt-undiv div-exp
2×associate-/r/
1×pow1 clear-num frac-2neg flip3-+ flip-+ insert-posit16 add-log-exp associate-/l/
Counts
1 → 87
Calls
1 calls:
Slowest
20.0ms
(/ (/ -1 x) (+ x 1))

series35.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
34.0ms
(/ (/ -1 x) (+ x 1))

simplify6.1s

Counts
128 → 90
Calls
128 calls:
Slowest
758.0ms
(/ (* (* (/ -1 x) (/ -1 x)) (/ -1 x)) (* (* (+ x 1) (+ x 1)) (+ x 1)))
345.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (* (cbrt x) (cbrt x))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))
292.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
285.0ms
(- (/ 1 (pow x 3)) (+ (/ 1 (pow x 4)) (/ 1 (pow x 2))))
171.0ms
(/ (/ (* (cbrt -1) (cbrt -1)) (sqrt x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))

prune550.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 3 expressions with local error:

26.4b
(* (/ (/ -1 x) (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))
0.1b
(/ (/ -1 x) (+ (pow x 3) (pow 1 3)))
0.0b
(+ (- 1 x) (* x x))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
476×*-un-lft-identity
452×times-frac
188×add-sqr-sqrt
179×add-cube-cbrt
162×distribute-lft-out
136×associate-*l*
108×unpow-prod-down cube-prod
27×cube-mult sum-cubes
23×div-inv
17×add-cbrt-cube add-exp-log
13×associate-/l*
10×associate-/r*
8×add-log-exp
6×cbrt-undiv div-exp
5×pow1 flip3-+ flip-+
4×associate-/r/
3×associate-*r* prod-exp cbrt-unprod insert-posit16 unswap-sqr
2×frac-times associate-+l+ sum-log associate-*r/
1×distribute-rgt-in +-commutative clear-num sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down associate-*l/ *-commutative associate-+l- associate-/l/
Counts
3 → 352
Calls
3 calls:
Slowest
164.0ms
(* (/ (/ -1 x) (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))
21.0ms
(+ (- 1 x) (* x x))
18.0ms
(/ (/ -1 x) (+ (pow x 3) (pow 1 3)))

series187.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
106.0ms
(/ (/ -1 x) (+ (pow x 3) (pow 1 3)))
63.0ms
(* (/ (/ -1 x) (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))
19.0ms
(+ (- 1 x) (* x x))

simplify53.5s

Counts
458 → 361
Calls
458 calls:
Slowest
916.0ms
(* (/ (/ (* (* -1 -1) -1) (* (* x x) x)) (* (* (+ (pow x 3) (pow 1 3)) (+ (pow x 3) (pow 1 3))) (+ (pow x 3) (pow 1 3)))) (* (* (+ (- 1 x) (* x x)) (+ (- 1 x) (* x x))) (+ (- 1 x) (* x x))))
679.0ms
(* (/ (/ -1 x) (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x)))
639.0ms
(* (* (* (/ (/ -1 x) (+ (pow x 3) (pow 1 3))) (/ (/ -1 x) (+ (pow x 3) (pow 1 3)))) (/ (/ -1 x) (+ (pow x 3) (pow 1 3)))) (* (* (+ (- 1 x) (* x x)) (+ (- 1 x) (* x x))) (+ (- 1 x) (* x x))))
482.0ms
(/ (/ (sqrt -1) x) (+ (pow x 3) (pow 1 3)))
461.0ms
(* (/ -1 x) (+ (pow (- 1 x) 3) (pow (* x x) 3)))

prune3.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch2.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
662.0ms1930×body640valid
354.0ms1244×body320valid
295.0ms4182×body80valid
125.0ms645×body160valid