Details

Time bar (total: 59.3s)

sample35.0ms

Algorithm
intervals
Results
11.0ms49×body640valid
8.0ms45×body1280valid
6.0ms132×body80valid
2.0ms21×body320valid
1.0ms9×body160valid

simplify11.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
11.0ms
(- (cbrt (+ x 1)) (cbrt x))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.5b

localize15.0ms

Local error

Found 3 expressions with local error:

2.0b
(- (cbrt (+ x 1)) (cbrt x))
0.6b
(cbrt x)
0.3b
(cbrt (+ x 1))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
56×*-un-lft-identity
42×prod-diff
41×add-sqr-sqrt
33×add-cube-cbrt
9×distribute-lft-out
7×fma-neg
5×add-log-exp
4×difference-of-squares
3×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u distribute-lft-out--
2×cbrt-div pow1/3
1×sub-neg flip3-+ flip3-- diff-log flip-+ flip--
Counts
3 → 102
Calls
3 calls:
Slowest
72.0ms
(- (cbrt (+ x 1)) (cbrt x))
5.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)

series455.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
273.0ms
(cbrt x)
122.0ms
(- (cbrt (+ x 1)) (cbrt x))
60.0ms
(cbrt (+ x 1))

simplify8.0s

Counts
122 → 111
Calls
122 calls:
Slowest
415.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
395.0ms
(fma (cbrt 1) (cbrt (+ x 1)) (- (* (cbrt (cbrt x)) (cbrt (* (cbrt x) (cbrt x))))))
347.0ms
(- (+ (* 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)))
315.0ms
(- (+ (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)))))
282.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))

prune986.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 15.5b

localize25.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (cbrt (+ x 1)) (cbrt (* (* (cbrt x) (cbrt x)) (cbrt x))))
0.6b
(cbrt (* (* (cbrt x) (cbrt x)) (cbrt x)))
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod *-un-lft-identity
28×prod-diff
27×add-sqr-sqrt
23×add-cube-cbrt
7×fma-neg
6×add-log-exp
5×distribute-lft-out
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×pow1/3
2×difference-of-squares
1×sub-neg flip3-- diff-log pow3 rem-cbrt-cube flip-- distribute-lft-out--
Counts
4 → 94
Calls
4 calls:
Slowest
75.0ms
(- (cbrt (+ x 1)) (cbrt (* (* (cbrt x) (cbrt x)) (cbrt x))))
29.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series926.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
299.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (cbrt x)))
274.0ms
(cbrt x)
237.0ms
(cbrt x)
115.0ms
(- (cbrt (+ x 1)) (cbrt (* (* (cbrt x) (cbrt x)) (cbrt x))))

simplify7.1s

Counts
87 → 106
Calls
87 calls:
Slowest
405.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
374.0ms
(- (+ (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)))))
289.0ms
(- (+ (* 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)))
276.0ms
(fma (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))) (- (* (cbrt (cbrt (* (* (cbrt x) (cbrt x)) (cbrt x)))) (* (cbrt (cbrt (* (* (cbrt x) (cbrt x)) (cbrt x)))) (cbrt (cbrt (* (* (cbrt x) (cbrt x)) (cbrt x))))))))
270.0ms
(fma (sqrt (cbrt (+ x 1))) (sqrt (cbrt (+ x 1))) (- (* (cbrt (cbrt (* (* (cbrt x) (cbrt x)) (cbrt x)))) (* (cbrt (cbrt (* (* (cbrt x) (cbrt x)) (cbrt x)))) (cbrt (cbrt (* (* (cbrt x) (cbrt x)) (cbrt x))))))))

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 15.5b

localize23.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (cbrt (+ x 1)) (cbrt x))
2.0b
(- (cbrt (+ x 1)) (cbrt x))
2.0b
(- (cbrt (+ x 1)) (cbrt x))
0.6b
(cbrt x)

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
174×cbrt-prod
152×*-un-lft-identity
126×prod-diff
113×add-sqr-sqrt
89×add-cube-cbrt
24×distribute-lft-out
21×fma-neg
12×difference-of-squares
10×add-log-exp
9×distribute-lft-out--
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×sub-neg flip3-- diff-log flip--
1×pow1/3
Counts
4 → 227
Calls
4 calls:
Slowest
60.0ms
(- (cbrt (+ x 1)) (cbrt x))
34.0ms
(- (cbrt (+ x 1)) (cbrt x))
33.0ms
(- (cbrt (+ x 1)) (cbrt x))
1.0ms
(cbrt x)

series631.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
292.0ms
(cbrt x)
118.0ms
(- (cbrt (+ x 1)) (cbrt x))
115.0ms
(- (cbrt (+ x 1)) (cbrt x))
105.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify20.3s

Counts
327 → 239
Calls
327 calls:
Slowest
432.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
409.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
393.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
381.0ms
(- (+ (* 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)))
361.0ms
(- (+ (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)))))

prune3.4s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 15.5b

localize41.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt x))
0.6b
(cbrt x)
0.3b
(cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1))))
0.3b
(cbrt (+ x 1))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
82×cbrt-div
28×cbrt-prod frac-times flip3-+ flip-+
25×add-sqr-sqrt *-un-lft-identity
24×prod-diff
21×add-cube-cbrt
14×associate-*l/
8×associate-*r/
6×add-log-exp
4×expm1-log1p-u pow1 add-cbrt-cube fma-neg add-exp-log insert-posit16 log1p-expm1-u
3×pow1/3
2×difference-of-squares
1×sub-neg flip3-- diff-log pow3 rem-cbrt-cube flip-- distribute-lft-out distribute-lft-out--
Counts
4 → 116
Calls
4 calls:
Slowest
44.0ms
(- (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt x))
31.0ms
(cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1))))
2.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)

series468.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
274.0ms
(cbrt x)
96.0ms
(- (cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt x))
53.0ms
(cbrt (+ x 1))
44.0ms
(cbrt (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (+ x 1))))

simplify12.3s

Counts
106 → 128
Calls
106 calls:
Slowest
373.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
368.0ms
(- (+ (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)))))
314.0ms
(cbrt (* (* (cbrt (+ (pow x 3) (pow 1 3))) (cbrt (- (* x x) (* 1 1)))) (cbrt (+ x 1))))
309.0ms
(cbrt (* (* (cbrt (- (* x x) (* 1 1))) (cbrt (+ (pow x 3) (pow 1 3)))) (cbrt (+ x 1))))
300.0ms
(cbrt (* (* (cbrt (+ x 1)) (cbrt (+ (pow x 3) (pow 1 3)))) (cbrt (- (* x x) (* 1 1)))))

prune1.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 15.5b

regimes235.0ms

Accuracy

99.5% (0.1b remaining)

Error of 15.3b against oracle of 15.2b and baseline of 29.9b

bsearch15.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
547.0ms1698×body1280valid
328.0ms1267×body640valid
234.0ms4093×body80valid
133.0ms631×body320valid
29.0ms311×body160valid