Details

Time bar (total: 1.0m)

sample41.0ms

Algorithm
intervals
Results
15.0ms65×body1280valid
8.0ms43×body640valid
6.0ms121×body80valid
2.0ms18×body320valid
1.0ms9×body160valid

simplify17.0ms

Calls
1 calls:
Slowest
17.0ms
(- (cbrt (+ x 1)) (cbrt x))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize10.0ms

Local error

Found 3 expressions with local error:

2.8b
(- (cbrt (+ x 1)) (cbrt x))
0.6b
(cbrt x)
0.3b
(cbrt (+ x 1))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff add-cube-cbrt
16×cbrt-prod
6×fma-neg
5×add-log-exp
3×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
2×cbrt-div pow1/3 difference-of-squares
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip-- distribute-lft-out--
Calls
3 calls:
Slowest
8.0ms
(- (cbrt (+ x 1)) (cbrt x))
1.0ms
(cbrt (+ x 1))
0.0ms
(cbrt x)

series423.0ms

Calls
3 calls:
Slowest
268.0ms
(cbrt x)
118.0ms
(- (cbrt (+ x 1)) (cbrt x))
37.0ms
(cbrt (+ x 1))

simplify3.1s

Calls
61 calls:
Slowest
372.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
302.0ms
(- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2))))
244.0ms
(- (+ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) x))) (+ (* (pow (* x -1) 1/3) (cbrt -1)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 x))))) (pow x 2)))))
167.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (* 5/81 (pow (/ 1 (pow x 8)) 1/3))) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
151.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))

prune738.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 17.6b

localize35.0ms

Local error

Found 4 expressions with local error:

2.4b
(- (pow (cbrt (+ x 1)) 3) (pow (cbrt x) 3))
0.8b
(pow (cbrt x) 3)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
187×prod-diff
147×add-sqr-sqrt
141×unpow-prod-down cube-prod
127×*-un-lft-identity
117×add-cube-cbrt
78×cbrt-prod
30×cube-mult unpow3
17×fma-neg
15×difference-of-squares
6×add-log-exp
5×pow1 add-exp-log distribute-lft-out--
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u
3×pow1/3
2×pow-pow
1×pow-to-exp difference-cubes sub-neg flip3-- diff-log pow-exp flip-- rem-cube-cbrt
Calls
4 calls:
Slowest
30.0ms
(- (pow (cbrt (+ x 1)) 3) (pow (cbrt x) 3))
2.0ms
(pow (cbrt x) 3)
0.0ms
(cbrt x)
0.0ms
(cbrt x)

series849.0ms

Calls
4 calls:
Slowest
283.0ms
(pow (cbrt x) 3)
259.0ms
(cbrt x)
243.0ms
(cbrt x)
63.0ms
(- (pow (cbrt (+ x 1)) 3) (pow (cbrt x) 3))

simplify48.5s

Calls
452 calls:
Slowest
578.0ms
(fma (pow (sqrt (cbrt (+ x 1))) 3) (pow (sqrt (cbrt (+ x 1))) 3) (- (* (pow (sqrt (cbrt x)) 3) (pow (sqrt (cbrt x)) 3))))
446.0ms
(fma (- (pow (cbrt (cbrt x)) 3)) (pow (* (cbrt (cbrt x)) (cbrt (cbrt x))) 3) (* (pow (cbrt (cbrt x)) 3) (pow (* (cbrt (cbrt x)) (cbrt (cbrt x))) 3)))
432.0ms
(fma (- (pow (cbrt (cbrt x)) 3)) (pow (* (cbrt (cbrt x)) (cbrt (cbrt x))) 3) (* (pow (cbrt (cbrt x)) 3) (pow (* (cbrt (cbrt x)) (cbrt (cbrt x))) 3)))
431.0ms
(fma (- (pow (cbrt (cbrt x)) 3)) (pow (* (cbrt (cbrt x)) (cbrt (cbrt x))) 3) (* (pow (cbrt (cbrt x)) 3) (pow (* (cbrt (cbrt x)) (cbrt (cbrt x))) 3)))
419.0ms
(fma (- (pow (cbrt (cbrt x)) 3)) (pow (* (cbrt (cbrt x)) (cbrt (cbrt x))) 3) (* (pow (cbrt (cbrt x)) 3) (pow (* (cbrt (cbrt x)) (cbrt (cbrt x))) 3)))

prune3.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.5b
(* (cbrt x) (cbrt x))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
7×pow1/3
6×add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
4.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
0.0ms
(cbrt x)

series1.1s

Calls
4 calls:
Slowest
281.0ms
(* (cbrt x) (cbrt x))
278.0ms
(cbrt x)
259.0ms
(cbrt x)
258.0ms
(cbrt x)

simplify168.0ms

Calls
25 calls:
Slowest
30.0ms
(* (pow (pow x 2) 1/3) (pow (cbrt -1) 2))
19.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
17.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
13.0ms
(pow (/ 1 x) -1/3)
12.0ms
(pow (/ 1 x) -1/3)

prune700.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (* (cbrt x) (cbrt x)))
0.7b
(cbrt (* (cbrt x) (cbrt x)))
0.7b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube pow1/3 add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod
Calls
4 calls:
Slowest
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
0.0ms
(cbrt x)

series1.7s

Calls
4 calls:
Slowest
497.0ms
(cbrt (* (cbrt x) (cbrt x)))
440.0ms
(cbrt (* (cbrt x) (cbrt x)))
440.0ms
(cbrt (* (cbrt x) (cbrt x)))
297.0ms
(cbrt x)

simplify101.0ms

Calls
15 calls:
Slowest
13.0ms
(* (pow (pow x 2) 1/9) (pow (pow (cbrt -1) 2) 1/3))
11.0ms
(* (pow (* x -1) 1/3) (cbrt -1))
11.0ms
(* (pow (pow x 2) 1/9) (pow (pow (cbrt -1) 2) 1/3))
11.0ms
(* (pow (pow x 2) 1/9) (pow (pow (cbrt -1) 2) 1/3))
9.0ms
(pow (/ 1 x) -2/9)

prune573.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.3b

regimes95.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch3.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
575.0ms1724×body1280valid
233.0ms4097×body80valid
226.0ms1237×body640valid
78.0ms599×body320valid
68.0ms343×body160valid