Details

Time bar (total: 5.9m)

sample214.0ms

Algorithm
intervals
Results
136.0ms855×body80nan
43.0ms291×body80valid

simplify236.0ms

Calls
1 calls:
Slowest
236.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.1b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.1b
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
85×*-un-lft-identity
83×add-cube-cbrt
78×prod-diff
67×times-frac
41×distribute-rgt-in distribute-lft-in
9×pow1
8×add-cbrt-cube add-exp-log
7×div-inv
6×associate-*r* associate-*r/
5×sqrt-prod
4×expm1-log1p-u associate-/r* sqrt-div insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- associate-*l* flip-- associate-/l*
2×sub-neg sqrt-pow1 pow-prod-down associate-/r/ difference-of-squares
1×cbrt-undiv clear-num frac-2neg pow1/2 div-exp prod-exp *-commutative cbrt-unprod fma-udef distribute-lft-out-- unswap-sqr
Calls
4 calls:
Slowest
35.0ms
(* 9 (- a (/ 1.0 3.0)))
30.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
13.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

series448.0ms

Calls
4 calls:
Slowest
175.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
113.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
96.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
63.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify23.5s

Calls
148 calls:
Slowest
561.0ms
(* 9 (fma (- (/ 1 3.0)) 1.0 (* (/ 1 3.0) 1.0)))
508.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
405.0ms
(sqrt (* 9 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))
401.0ms
(* 9 (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))))
392.0ms
(* (fma (- (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))) (* (cbrt (/ 1.0 3.0)) (* (cbrt (/ 1.0 3.0)) (cbrt (/ 1.0 3.0))))) 9)

prune2.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))
0.2b
(/ rand (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))))
0.1b
(* (cbrt 9) (- a (/ 1.0 3.0)))
0.1b
(sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0)))))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
234×prod-diff
229×add-sqr-sqrt
222×*-un-lft-identity
220×add-cube-cbrt
205×distribute-rgt-in distribute-lft-in
175×times-frac
31×pow1
20×add-exp-log
19×div-inv
17×pow-prod-down
14×associate-*r/
13×add-cbrt-cube
9×prod-exp cbrt-unprod
7×associate-*r* associate-*l*
6×sub-neg
5×sqrt-pow1 sqrt-prod
4×cbrt-prod expm1-log1p-u associate-/r* flip3-- sqrt-div insert-posit16 log1p-expm1-u flip-- add-log-exp
3×associate-/l*
2×associate-/r/ *-commutative difference-of-squares unswap-sqr
1×cbrt-undiv clear-num frac-2neg pow1/2 div-exp distribute-lft-out--
Calls
4 calls:
Slowest
50.0ms
(* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))
50.0ms
(sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0)))))
37.0ms
(/ rand (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))))
26.0ms
(* (cbrt 9) (- a (/ 1.0 3.0)))

series701.0ms

Calls
4 calls:
Slowest
252.0ms
(/ rand (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))))
184.0ms
(* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))
134.0ms
(sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0)))))
130.0ms
(* (cbrt 9) (- a (/ 1.0 3.0)))

simplify1.2m

Calls
336 calls:
Slowest
757.0ms
(* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (fma (- (/ 1.0 3.0)) 1 (* (/ 1.0 3.0) 1))))
703.0ms
(* (* 9 9) (* 9 (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0)))))
684.0ms
(cbrt (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (- a (/ 1.0 3.0))))))
552.0ms
(* (* (cbrt 9) (fma (- (/ (sqrt 1.0) (cbrt 3.0))) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (sqrt 1.0) (cbrt 3.0)) (/ (sqrt 1.0) (* (cbrt 3.0) (cbrt 3.0)))))) (* (cbrt 9) (cbrt 9)))
472.0ms
(* (* (cbrt 9) (cbrt 9)) (* (cbrt 9) (fma (- (/ (cbrt 1.0) (cbrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0))) (* (/ (cbrt 1.0) (cbrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt 3.0) (cbrt 3.0)))))))

prune5.0s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1 (fabs (cbrt 9))) (/ rand (sqrt (* (cbrt 9) (- a (/ 1.0 3.0))))))
0.2b
(/ rand (sqrt (* (cbrt 9) (- a (/ 1.0 3.0)))))
0.1b
(sqrt (* (cbrt 9) (- a (/ 1.0 3.0))))
0.1b
(* (cbrt 9) (- a (/ 1.0 3.0)))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
125×add-sqr-sqrt
103×*-un-lft-identity
99×add-cube-cbrt
95×times-frac
78×prod-diff
41×distribute-rgt-in distribute-lft-in
30×add-exp-log
24×associate-*r*
19×add-cbrt-cube associate-*l*
11×pow1
9×div-exp prod-exp associate-*r/ div-inv
8×sqrt-prod unswap-sqr
6×sqrt-div
5×cbrt-undiv cbrt-unprod
4×cbrt-prod expm1-log1p-u associate-/r* flip3-- associate-/r/ insert-posit16 log1p-expm1-u flip-- add-log-exp
3×pow-prod-down associate-/l*
2×rec-exp sub-neg sqrt-pow1 1-exp *-commutative difference-of-squares
1×frac-times clear-num frac-2neg pow1/2 associate-*l/ distribute-lft-out--
Calls
4 calls:
Slowest
82.0ms
(* (/ 1 (fabs (cbrt 9))) (/ rand (sqrt (* (cbrt 9) (- a (/ 1.0 3.0))))))
46.0ms
(* (cbrt 9) (- a (/ 1.0 3.0)))
29.0ms
(sqrt (* (cbrt 9) (- a (/ 1.0 3.0))))
22.0ms
(/ rand (sqrt (* (cbrt 9) (- a (/ 1.0 3.0)))))

series1.9s

Calls
4 calls:
Slowest
824.0ms
(* (/ 1 (fabs (cbrt 9))) (/ rand (sqrt (* (cbrt 9) (- a (/ 1.0 3.0))))))
449.0ms
(* (cbrt 9) (- a (/ 1.0 3.0)))
448.0ms
(/ rand (sqrt (* (cbrt 9) (- a (/ 1.0 3.0)))))
172.0ms
(sqrt (* (cbrt 9) (- a (/ 1.0 3.0))))

simplify33.2s

Calls
211 calls:
Slowest
915.0ms
(- (* rand (sqrt (/ -3.0 (cbrt 9)))) (+ (* 13.5 (/ (* (pow a 2) rand) (* (cbrt 9) (sqrt (/ -3.0 (cbrt 9)))))) (+ (* 10.125 (/ (* (pow a 2) rand) (* (pow (sqrt (/ -3.0 (cbrt 9))) 3) (pow (cbrt 9) 2)))) (* 4.5 (/ (* a rand) (* (cbrt 9) (sqrt (/ -3.0 (cbrt 9)))))))))
748.0ms
(- (/ (* rand (sqrt (/ -3.0 (cbrt 9)))) (fabs (cbrt 9))) (+ (* 4.5 (/ (* a rand) (* (fabs (cbrt 9)) (* (sqrt (/ -3.0 (cbrt 9))) (cbrt 9))))) (+ (* 10.125 (/ (* (pow a 2) rand) (* (fabs (cbrt 9)) (* (pow (cbrt 9) 2) (pow (sqrt (/ -3.0 (cbrt 9))) 3))))) (* 13.5 (/ (* (pow a 2) rand) (* (fabs (cbrt 9)) (* (cbrt 9) (sqrt (/ -3.0 (cbrt 9))))))))))
618.0ms
(* (* (* (/ 1 (fabs (cbrt 9))) (/ 1 (fabs (cbrt 9)))) (/ 1 (fabs (cbrt 9)))) (* (* (/ rand (sqrt (* (cbrt 9) (- a (/ 1.0 3.0))))) (/ rand (sqrt (* (cbrt 9) (- a (/ 1.0 3.0)))))) (/ rand (sqrt (* (cbrt 9) (- a (/ 1.0 3.0)))))))
476.0ms
(* (/ (* (* 1 1) 1) (* (* (fabs (cbrt 9)) (fabs (cbrt 9))) (fabs (cbrt 9)))) (/ (* (* rand rand) rand) (* (* (sqrt (* (cbrt 9) (- a (/ 1.0 3.0)))) (sqrt (* (cbrt 9) (- a (/ 1.0 3.0))))) (sqrt (* (cbrt 9) (- a (/ 1.0 3.0)))))))
450.0ms
(* (cbrt 9) (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))))

prune3.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (* (cbrt 9) (cbrt 9)))
0.4b
(* (* (cbrt 9) (cbrt 9)) (* (cbrt (* (cbrt 9) (cbrt 9))) (* (cbrt (cbrt 9)) (- a (/ 1.0 3.0)))))
0.2b
(* (cbrt (* (cbrt 9) (cbrt 9))) (* (cbrt (cbrt 9)) (- a (/ 1.0 3.0))))
0.2b
(/ rand (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt (* (cbrt 9) (cbrt 9))) (* (cbrt (cbrt 9)) (- a (/ 1.0 3.0)))))))

rewrite402.0ms

Algorithm
rewrite-expression-head
Rules
656×distribute-rgt-in distribute-lft-in
468×prod-diff
422×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
336×times-frac
37×div-inv
32×add-exp-log
30×pow1
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
16×associate-*r/
12×sub-neg
5×associate-*l*
4×expm1-log1p-u associate-/r* sqrt-prod insert-posit16 log1p-expm1-u add-log-exp
3×flip3-- flip-- associate-/l*
2×cbrt-prod sqrt-div associate-*r* associate-/r/ *-commutative
1×cbrt-undiv clear-num frac-2neg pow1/3 div-exp
Calls
4 calls:
Slowest
192.0ms
(* (* (cbrt 9) (cbrt 9)) (* (cbrt (* (cbrt 9) (cbrt 9))) (* (cbrt (cbrt 9)) (- a (/ 1.0 3.0)))))
121.0ms
(/ rand (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt (* (cbrt 9) (cbrt 9))) (* (cbrt (cbrt 9)) (- a (/ 1.0 3.0)))))))
56.0ms
(* (cbrt (* (cbrt 9) (cbrt 9))) (* (cbrt (cbrt 9)) (- a (/ 1.0 3.0))))
8.0ms
(cbrt (* (cbrt 9) (cbrt 9)))

series643.0ms

Calls
4 calls:
Slowest
265.0ms
(/ rand (sqrt (* (* (cbrt 9) (cbrt 9)) (* (cbrt (* (cbrt 9) (cbrt 9))) (* (cbrt (cbrt 9)) (- a (/ 1.0 3.0)))))))
214.0ms
(* (* (cbrt 9) (cbrt 9)) (* (cbrt (* (cbrt 9) (cbrt 9))) (* (cbrt (cbrt 9)) (- a (/ 1.0 3.0)))))
164.0ms
(* (cbrt (* (cbrt 9) (cbrt 9))) (* (cbrt (cbrt 9)) (- a (/ 1.0 3.0))))
0.0ms
(cbrt (* (cbrt 9) (cbrt 9)))

simplify3.2m

Calls
571 calls:
Slowest
931.0ms
(* (* (cbrt 9) (cbrt 9)) (* (* (fma (- (/ (sqrt 1.0) (sqrt 3.0))) (/ (sqrt 1.0) (sqrt 3.0)) (* (/ (sqrt 1.0) (sqrt 3.0)) (/ (sqrt 1.0) (sqrt 3.0)))) (cbrt (cbrt 9))) (cbrt (* (cbrt 9) (cbrt 9)))))
912.0ms
(* (* (cbrt 9) (cbrt 9)) (* (* (cbrt (cbrt 9)) (fma (- (/ (cbrt 1.0) (sqrt 3.0))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0)) (* (/ (cbrt 1.0) (sqrt 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 3.0))))) (cbrt (* (cbrt 9) (cbrt 9)))))
894.0ms
(* (* (* (fma (- (/ (cbrt 1.0) 3.0)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) 3.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))) (cbrt (cbrt 9))) (cbrt (* (cbrt 9) (cbrt 9)))) (* (cbrt 9) (cbrt 9)))
880.0ms
(* (* (cbrt (* (cbrt 9) (cbrt 9))) (* (cbrt (cbrt 9)) (fma (- (/ 1.0 (sqrt 3.0))) (/ 1 (sqrt 3.0)) (* (/ 1.0 (sqrt 3.0)) (/ 1 (sqrt 3.0)))))) (* (cbrt 9) (cbrt 9)))
846.0ms
(* (* (cbrt (* (cbrt 9) (cbrt 9))) (* (fma (- (/ 1.0 (sqrt 3.0))) (/ 1 (sqrt 3.0)) (* (/ 1.0 (sqrt 3.0)) (/ 1 (sqrt 3.0)))) (cbrt (cbrt 9)))) (* (cbrt 9) (cbrt 9)))

prune11.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch4.0ms

end0.0ms

sample6.2s

Algorithm
intervals
Results
4.3s27427×body80nan
1.2s9054×body80valid