Details

Time bar (total: 23.9s)

sample54.0ms

Algorithm
intervals
Results
27.0ms126×pre10240exit
10.0ms256×body80valid
5.0ms130×pre80true

simplify28.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
28.0ms
(- (/ x0 (- 1 x1)) x0)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize8.0ms

Local error

Found 2 expressions with local error:

7.4b
(- (/ x0 (- 1 x1)) x0)
0.7b
(/ x0 (- 1 x1))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
130×add-sqr-sqrt
127×*-un-lft-identity
91×times-frac
77×add-cube-cbrt
72×prod-diff
34×difference-of-squares
24×fma-neg
17×distribute-lft-out--
10×associate-/r/
6×associate-/r* flip3-- flip--
5×div-inv
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp
Counts
2 → 158
Calls
2 calls:
Slowest
52.0ms
(- (/ x0 (- 1 x1)) x0)
11.0ms
(/ x0 (- 1 x1))

series77.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
45.0ms
(- (/ x0 (- 1 x1)) x0)
32.0ms
(/ x0 (- 1 x1))

simplify11.5s

Counts
226 → 164
Calls
226 calls:
Slowest
300.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
270.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) (* (cbrt (- 1 x1)) (cbrt (- 1 x1)))) (/ (cbrt x0) (cbrt (- 1 x1))) (- (* (cbrt x0) (* (cbrt x0) (cbrt x0)))))
264.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
258.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
244.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) (+ (sqrt 1) (sqrt x1))) (/ (cbrt x0) (- (sqrt 1) (sqrt x1))) (- (* x0 1)))

prune713.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.9b

localize16.0ms

Local error

Found 2 expressions with local error:

6.2b
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
0.3b
(/ (cbrt x0) (- 1 x1))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt *-un-lft-identity
36×times-frac
23×add-cube-cbrt
21×cbrt-prod
14×difference-of-squares
7×distribute-lft-out--
6×associate-/r* associate-/l*
4×add-exp-log
3×add-cbrt-cube
2×expm1-log1p-u pow1 associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Counts
2 → 76
Calls
2 calls:
Slowest
18.0ms
(/ (cbrt x0) (- 1 x1))
0.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))

series195.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
112.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
83.0ms
(/ (cbrt x0) (- 1 x1))

simplify1.7s

Counts
93 → 82
Calls
93 calls:
Slowest
178.0ms
(/ x0 (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
151.0ms
(- (+ (* (pow (* x0 -1) 1/3) (/ (cbrt -1) x1)) (+ (* (pow (* x0 -1) 1/3) (/ (cbrt -1) (pow x1 3))) (* (pow (* x0 -1) 1/3) (/ (cbrt -1) (pow x1 2))))))
131.0ms
(+ (* (pow x0 1/3) (pow x1 2)) (+ (* (pow x0 1/3) x1) (pow x0 1/3)))
128.0ms
(- (+ (* (pow x0 1/3) (/ 1 (pow x1 2))) (+ (* (pow x0 1/3) (/ 1 x1)) (* (pow x0 1/3) (/ 1 (pow x1 3))))))
75.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune286.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.9b

localize24.0ms

Local error

Found 3 expressions with local error:

6.2b
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
0.7b
(exp (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
0.3b
(/ (cbrt x0) (- 1 x1))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt *-un-lft-identity
36×times-frac
26×add-cube-cbrt
21×cbrt-prod
14×difference-of-squares
7×distribute-lft-out--
6×associate-/r* associate-/l*
5×add-exp-log
4×pow1 exp-prod add-cbrt-cube
3×expm1-log1p-u log-prod exp-sum insert-posit16 log1p-expm1-u add-log-exp
2×associate-/r/
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp log-pow fma-udef div-inv flip-- rem-exp-log
Counts
3 → 94
Calls
3 calls:
Slowest
9.0ms
(/ (cbrt x0) (- 1 x1))
3.0ms
(exp (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
0.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))

series279.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
98.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
95.0ms
(exp (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
85.0ms
(/ (cbrt x0) (- 1 x1))

simplify2.2s

Counts
104 → 103
Calls
104 calls:
Slowest
173.0ms
(/ x0 (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
153.0ms
(- (+ (* (pow (* x0 -1) 1/3) (/ (cbrt -1) x1)) (+ (* (pow (* x0 -1) 1/3) (/ (cbrt -1) (pow x1 3))) (* (pow (* x0 -1) 1/3) (/ (cbrt -1) (pow x1 2))))))
135.0ms
(+ (* (pow x0 1/3) (pow x1 2)) (+ (* (pow x0 1/3) x1) (pow x0 1/3)))
130.0ms
(exp (* (cbrt (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0)))) (cbrt (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))))
128.0ms
(- (+ (* (pow x0 1/3) (/ 1 (pow x1 2))) (+ (* (pow x0 1/3) (/ 1 x1)) (* (pow x0 1/3) (/ 1 (pow x1 3))))))

prune446.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.8b

localize29.0ms

Local error

Found 3 expressions with local error:

6.2b
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
1.5b
(pow E (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
0.3b
(/ (cbrt x0) (- 1 x1))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt *-un-lft-identity
36×times-frac
27×add-cube-cbrt
21×cbrt-prod
14×difference-of-squares
7×distribute-lft-out--
6×associate-/r* add-exp-log associate-/l*
5×pow1
4×pow-unpow add-cbrt-cube
3×expm1-log1p-u unpow-prod-up log-prod unpow-prod-down insert-posit16 log1p-expm1-u add-log-exp
2×pow-exp associate-/r/
1×pow-to-exp cbrt-undiv e-exp-1 clear-num pow-pow frac-2neg flip3-- div-exp log-pow fma-udef div-inv flip-- sqr-pow
Counts
3 → 101
Calls
3 calls:
Slowest
9.0ms
(/ (cbrt x0) (- 1 x1))
3.0ms
(pow E (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
0.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))

series344.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
165.0ms
(pow E (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
98.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
80.0ms
(/ (cbrt x0) (- 1 x1))

simplify3.5s

Counts
108 → 110
Calls
108 calls:
Slowest
248.0ms
(pow (* (cbrt E) (cbrt E)) (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
245.0ms
(pow E (log (sqrt (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0)))))
244.0ms
(pow E (log (cbrt (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0)))))
240.0ms
(pow (sqrt E) (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
203.0ms
(pow E (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))

prune488.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.8b

regimes96.0ms

Accuracy

47.8% (1.2b remaining)

Error of 6.0b against oracle of 4.8b and baseline of 7.1b

bsearch43.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
887.0ms4049×pre10240exit
616.0ms8000×body80valid
143.0ms3951×pre80true