Details

Time bar (total: 30.0s)

sample50.0ms

Algorithm
intervals
Results
24.0ms128×pre10240exit
12.0ms256×body80valid
4.0ms128×pre80true

simplify11.0ms

Calls
1 calls:
Slowest
11.0ms
(- (/ x0 (- 1 x1)) x0)

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize8.0ms

Local error

Found 2 expressions with local error:

7.8b
(- (/ x0 (- 1 x1)) x0)
0.8b
(/ x0 (- 1 x1))

rewrite72.0ms

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
Calls
2 calls:
Slowest
51.0ms
(- (/ x0 (- 1 x1)) x0)
15.0ms
(/ x0 (- 1 x1))

series95.0ms

Calls
2 calls:
Slowest
68.0ms
(- (/ x0 (- 1 x1)) x0)
26.0ms
(/ x0 (- 1 x1))

simplify12.1s

Calls
226 calls:
Slowest
345.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
316.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
292.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
237.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- (* (cbrt x0) (* (cbrt x0) (cbrt x0)))))
228.0ms
(fma (/ (* (cbrt x0) (cbrt x0)) 1) (/ (cbrt x0) (- 1 x1)) (- (* (cbrt x0) (* (cbrt x0) (cbrt x0)))))

prune968.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.3b

localize25.0ms

Local error

Found 2 expressions with local error:

6.5b
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
0.2b
(/ (cbrt x0) (- 1 x1))

rewrite21.0ms

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*
5×add-cbrt-cube
4×add-exp-log
2×expm1-log1p-u pow1 cbrt-undiv associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg flip3-- div-exp fma-udef div-inv flip--
Calls
2 calls:
Slowest
18.0ms
(/ (cbrt x0) (- 1 x1))
1.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))

series209.0ms

Calls
2 calls:
Slowest
124.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
85.0ms
(/ (cbrt x0) (- 1 x1))

simplify2.7s

Calls
94 calls:
Slowest
236.0ms
(- (+ (* (pow x0 1/3) (/ 1 (pow x1 2))) (+ (* (pow x0 1/3) (/ 1 x1)) (* (pow x0 1/3) (/ 1 (pow x1 3))))))
219.0ms
(/ x0 (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
211.0ms
(+ (* (pow x0 1/3) (pow x1 2)) (+ (* (pow x0 1/3) x1) (pow x0 1/3)))
207.0ms
(- (+ (* (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))))))
150.0ms
(/ (* (* (cbrt x0) (cbrt x0)) (cbrt x0)) (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))

prune334.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.3b

localize7.0ms

Local error

Found 3 expressions with local error:

6.5b
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
0.8b
(exp (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
0.2b
(/ (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* add-cbrt-cube associate-/l*
5×add-exp-log
4×pow1 exp-prod add-log-exp
3×expm1-log1p-u log-prod exp-sum insert-posit16 log1p-expm1-u
2×cbrt-undiv associate-/r/ rem-exp-log
1×clear-num frac-2neg flip3-- div-exp log-pow fma-udef div-inv flip--
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))

series398.0ms

Calls
3 calls:
Slowest
155.0ms
(exp (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
128.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
115.0ms
(/ (cbrt x0) (- 1 x1))

simplify3.2s

Calls
106 calls:
Slowest
205.0ms
(/ x0 (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
194.0ms
(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))))))
191.0ms
(- (+ (* (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))))))
177.0ms
(- (+ (* (pow x0 1/3) (/ 1 (pow x1 2))) (+ (* (pow x0 1/3) (/ 1 x1)) (* (pow x0 1/3) (/ 1 (pow x1 3))))))
161.0ms
(+ (* (pow x0 1/3) (pow x1 2)) (+ (* (pow x0 1/3) x1) (pow x0 1/3)))

prune671.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.2b

localize15.0ms

Local error

Found 3 expressions with local error:

6.5b
(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))))
0.2b
(/ (cbrt x0) (- 1 x1))

rewrite25.0ms

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-cbrt-cube add-exp-log associate-/l*
5×pow1
4×pow-unpow
3×expm1-log1p-u unpow-prod-up log-prod unpow-prod-down insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv pow-exp associate-/r/
1×pow-to-exp e-exp-1 clear-num pow-pow frac-2neg flip3-- div-exp log-pow fma-udef div-inv flip-- sqr-pow
Calls
3 calls:
Slowest
17.0ms
(/ (cbrt x0) (- 1 x1))
5.0ms
(pow E (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
1.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))

series415.0ms

Calls
3 calls:
Slowest
204.0ms
(pow E (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
118.0ms
(fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))
93.0ms
(/ (cbrt x0) (- 1 x1))

simplify5.1s

Calls
109 calls:
Slowest
368.0ms
(pow (* (cbrt E) (cbrt E)) (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
349.0ms
(pow E (log (cbrt (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0)))))
311.0ms
(pow (sqrt E) (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))
307.0ms
(pow E (log (sqrt (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0)))))
283.0ms
(pow E (log (fma (* (cbrt x0) (cbrt x0)) (/ (cbrt x0) (- 1 x1)) (- x0))))

prune686.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.2b

regimes141.0ms

Accuracy

48.7% (1.2b remaining)

Error of 6.1b against oracle of 4.9b and baseline of 7.2b

bsearch43.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.9s4037×pre10240exit
488.0ms8000×body80valid
200.0ms3963×pre80true