Details

Time bar (total: 1.0m)

sample48.0ms

Algorithm
intervals
Results
19.0ms67×body1280valid
9.0ms44×body640valid
7.0ms120×body80valid
3.0ms17×body320valid
1.0ms8×body160valid

simplify11.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize21.0ms

Local error

Found 3 expressions with local error:

2.7b
(- (cbrt (+ x 1)) (cbrt x))
0.6b
(cbrt x)
0.3b
(cbrt (+ x 1))

rewrite83.0ms

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
77.0ms
(- (cbrt (+ x 1)) (cbrt x))
3.0ms
(cbrt (+ x 1))
1.0ms
(cbrt x)

series417.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
271.0ms
(cbrt x)
111.0ms
(- (cbrt (+ x 1)) (cbrt x))
35.0ms
(cbrt (+ x 1))

simplify7.7s

Counts
122 → 111
Calls
122 calls:
Slowest
414.0ms
(- (+ (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)))))
372.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
308.0ms
(- (+ (* 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)))
270.0ms
(- (+ (* 1/3 (pow (/ 1 (pow x 2)) 1/3)) (pow (/ 1 x) -1/3)) (* 1/9 (pow (/ 1 (pow x 5)) 1/3)))
268.0ms
(- (+ (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))))

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 19.3b

localize52.0ms

Local error

Found 4 expressions with local error:

2.7b
(- (cbrt (+ x 1)) (cbrt x))
2.7b
(- (cbrt (+ x 1)) (cbrt x))
2.7b
(- (cbrt (+ x 1)) (cbrt x))
0.6b
(cbrt x)

rewrite156.0ms

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
63.0ms
(- (cbrt (+ x 1)) (cbrt x))
49.0ms
(- (cbrt (+ x 1)) (cbrt x))
38.0ms
(- (cbrt (+ x 1)) (cbrt x))
1.0ms
(cbrt x)

series625.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
262.0ms
(cbrt x)
145.0ms
(- (cbrt (+ x 1)) (cbrt x))
113.0ms
(- (cbrt (+ x 1)) (cbrt x))
104.0ms
(- (cbrt (+ x 1)) (cbrt x))

simplify20.0s

Counts
327 → 239
Calls
327 calls:
Slowest
376.0ms
(- (+ (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)))))
368.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
367.0ms
(- (+ (* 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)))
356.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
341.0ms
(- (+ (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)))))

prune3.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 19.3b

localize61.0ms

Local error

Found 4 expressions with local error:

2.7b
(- (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt x) (cbrt x)))
2.7b
(- (cbrt (+ x 1)) (cbrt x))
2.7b
(- (cbrt (+ x 1)) (cbrt x))
0.6b
(cbrt x)

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
117×cbrt-prod
103×*-un-lft-identity
85×prod-diff
77×add-sqr-sqrt
61×add-cube-cbrt
16×distribute-lft-out
15×fma-neg
10×add-log-exp
9×difference-of-squares
6×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 → 174
Calls
4 calls:
Slowest
65.0ms
(- (cbrt (+ x 1)) (cbrt x))
40.0ms
(- (cbrt (+ x 1)) (cbrt x))
35.0ms
(- (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt x) (cbrt x)))
1.0ms
(cbrt x)

series654.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
320.0ms
(cbrt x)
115.0ms
(- (cbrt (+ x 1)) (cbrt x))
114.0ms
(- (cbrt (+ x 1)) (cbrt x))
105.0ms
(- (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt x) (cbrt x)))

simplify14.2s

Counts
229 → 186
Calls
229 calls:
Slowest
425.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
419.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
341.0ms
(- (+ (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)))))
341.0ms
(- (+ (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)))))
340.0ms
(- (+ (* 2/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 2/3)))

prune2.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 19.3b

localize42.0ms

Local error

Found 4 expressions with local error:

2.7b
(- (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)

rewrite85.0ms

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
54.0ms
(- (cbrt (+ x 1)) (cbrt (* (* (cbrt x) (cbrt x)) (cbrt x))))
28.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
356.0ms
(cbrt x)
291.0ms
(cbrt x)
265.0ms
(cbrt (* (* (cbrt x) (cbrt x)) (cbrt x)))
124.0ms
(- (cbrt (+ x 1)) (cbrt (* (* (cbrt x) (cbrt x)) (cbrt x))))

simplify6.6s

Counts
87 → 106
Calls
87 calls:
Slowest
364.0ms
(- (+ (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)))))
341.0ms
(- (+ (* 1/3 x) 1) (+ (* 1/9 (pow x 2)) (pow x 1/3)))
250.0ms
(- (+ (* 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)))
243.0ms
(fma (* (cbrt (cbrt (+ x 1))) (cbrt (cbrt (+ x 1)))) (cbrt (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))))))))
229.0ms
(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))))))))

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 19.3b

regimes98.0ms

Accuracy

99.7% (0.0b remaining)

Error of 14.8b against oracle of 14.8b and baseline of 30.0b

bsearch182.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
583.0ms1646×body1280valid
526.0ms636×body320valid
299.0ms1305×body640valid
211.0ms4061×body80valid
33.0ms352×body160valid