Details

Time bar (total: 2.2m)

sample206.0ms

Algorithm
intervals
Results
133.0ms973×body80nan
38.0ms294×body80valid

simplify288.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
288.0ms
(* (- a (/ 1.0 3.0)) (+ 1 (* (/ 1 (sqrt (* 9 (- a (/ 1.0 3.0))))) rand)))

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

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)))

rewrite64.0ms

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
Counts
4 → 171
Calls
4 calls:
Slowest
34.0ms
(* 9 (- a (/ 1.0 3.0)))
14.0ms
(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)))

series459.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
182.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
114.0ms
(fma (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))
99.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
63.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify23.4s

Counts
148 → 183
Calls
148 calls:
Slowest
608.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
421.0ms
(* 9 (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))))
416.0ms
(* 9 (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))))))
385.0ms
(* (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)))) 9)
384.0ms
(sqrt (* 9 (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0)))))

prune2.5s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
54×sqrt-div
32×add-sqr-sqrt
26×associate-*r/
22×*-un-lft-identity
19×flip3-- flip--
18×associate-*r* add-cube-cbrt sqrt-prod
17×pow1
14×times-frac
13×add-cbrt-cube add-exp-log
12×frac-times
8×associate-/r/
7×pow-prod-down
6×associate-*l/
4×expm1-log1p-u associate-/r* associate-*l* prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
3×sqrt-pow1 associate-/l*
2×*-commutative distribute-lft-out-- unswap-sqr
1×cbrt-undiv clear-num frac-2neg pow1/2 div-exp div-inv
Counts
4 → 130
Calls
4 calls:
Slowest
67.0ms
(sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
63.0ms
(* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))
47.0ms
(/ rand (sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))
28.0ms
(* 9 (sqrt (- a (/ 1.0 3.0))))

series388.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
149.0ms
(/ rand (sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))))
81.0ms
(* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))
80.0ms
(sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
77.0ms
(* 9 (sqrt (- a (/ 1.0 3.0))))

simplify10.9s

Counts
111 → 142
Calls
111 calls:
Slowest
460.0ms
(/ (* (* rand rand) rand) (* (* (sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0))))) (sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))) (sqrt (* (* 9 (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))))
423.0ms
(- (+ (* 3 (sqrt (- 0.3333333333333333))) (* 3/2 (/ a (sqrt (- 0.3333333333333333))))) (* 3/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))
376.0ms
(* (* 9 (sqrt (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))))) (sqrt (- a (/ 1.0 3.0))))
374.0ms
(sqrt (* (* 9 (sqrt (- (pow a 3) (pow (/ 1.0 3.0) 3)))) (sqrt (- (* a a) (* (/ 1.0 3.0) (/ 1.0 3.0))))))
333.0ms
(- (+ (* 9 (sqrt (- 0.3333333333333333))) (* 9/2 (/ a (sqrt (- 0.3333333333333333))))) (* 9/8 (/ (pow a 2) (pow (sqrt (- 0.3333333333333333)) 3))))

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
0.1b
(fma (/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
401×times-frac
293×add-sqr-sqrt
228×sqrt-prod
224×*-un-lft-identity
178×add-cube-cbrt
46×difference-of-squares
23×distribute-lft-out--
22×associate-/l*
11×div-inv
9×associate-/r*
7×add-cbrt-cube add-exp-log
3×cbrt-undiv div-exp
2×expm1-log1p-u pow1 sqrt-div associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg flip3-- fma-udef flip-- associate-/l/
Counts
2 → 260
Calls
2 calls:
Slowest
15.0ms
(/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
0.0ms
(fma (/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

series308.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
194.0ms
(/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0))))
114.0ms
(fma (/ (/ rand (sqrt 9)) (sqrt (- a (/ 1.0 3.0)))) (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0)))

simplify23.7s

Counts
437 → 266
Calls
437 calls:
Slowest
466.0ms
(/ (* (* (/ rand (sqrt 9)) (/ rand (sqrt 9))) (/ rand (sqrt 9))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
456.0ms
(/ (/ (* (* rand rand) rand) (* (* (sqrt 9) (sqrt 9)) (sqrt 9))) (* (* (sqrt (- a (/ 1.0 3.0))) (sqrt (- a (/ 1.0 3.0)))) (sqrt (- a (/ 1.0 3.0)))))
356.0ms
(/ (/ (* (cbrt rand) (cbrt rand)) (* (cbrt (sqrt 9)) (cbrt (sqrt 9)))) (* (cbrt (sqrt (- a (/ 1.0 3.0)))) (cbrt (sqrt (- a (/ 1.0 3.0))))))
242.0ms
(/ (/ (* (cbrt rand) (cbrt rand)) (* (cbrt (sqrt 9)) (cbrt (sqrt 9)))) (sqrt (* (cbrt (- a (/ 1.0 3.0))) (cbrt (- a (/ 1.0 3.0))))))
209.0ms
(/ (/ (* (cbrt rand) (cbrt rand)) (* (cbrt (sqrt 9)) (cbrt (sqrt 9)))) (sqrt (sqrt (- a (/ 1.0 3.0)))))

prune3.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

7.5b
(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
0.2b
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
0.1b
(sqrt (* 9 (- a (/ 1.0 3.0))))
0.0b
(* 9 (- a (/ 1.0 3.0)))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
177×add-sqr-sqrt
164×*-un-lft-identity
160×add-cube-cbrt
156×prod-diff
135×times-frac
82×distribute-rgt-in distribute-lft-in
21×associate-*l*
14×div-inv
13×add-cbrt-cube add-exp-log
12×associate-*r*
11×pow1
10×associate-*r/
8×sqrt-prod
6×flip3-- sqrt-div flip--
4×expm1-log1p-u associate-/r* sub-neg associate-/r/ insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
3×pow-prod-down prod-exp cbrt-unprod associate-/l* unswap-sqr
2×frac-times cbrt-undiv sqrt-pow1 div-exp *-commutative distribute-lft-out--
1×clear-num frac-2neg pow1/2 associate-*l/
Counts
4 → 289
Calls
4 calls:
Slowest
98.0ms
(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
39.0ms
(* 9 (- a (/ 1.0 3.0)))
28.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
22.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))

series353.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
116.0ms
(/ rand (sqrt (* 9 (- a (/ 1.0 3.0)))))
101.0ms
(* (/ rand (sqrt (* 9 (- a (/ 1.0 3.0))))) (- a (/ 1.0 3.0)))
81.0ms
(sqrt (* 9 (- a (/ 1.0 3.0))))
54.0ms
(* 9 (- a (/ 1.0 3.0)))

simplify50.2s

Counts
268 → 301
Calls
268 calls:
Slowest
742.0ms
(/ (* (* rand rand) rand) (* (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (sqrt (* 9 (- a (/ 1.0 3.0))))) (sqrt (* 9 (- a (/ 1.0 3.0))))))
617.0ms
(* (* (* 9 9) 9) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
476.0ms
(* 9 (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))))))
465.0ms
(* (/ (* (* rand rand) rand) (* (* (sqrt (* 9 (- a (/ 1.0 3.0)))) (sqrt (* 9 (- a (/ 1.0 3.0))))) (sqrt (* 9 (- a (/ 1.0 3.0)))))) (* (* (- a (/ 1.0 3.0)) (- a (/ 1.0 3.0))) (- a (/ 1.0 3.0))))
452.0ms
(* (fma (- (/ (sqrt 1.0) 3.0)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) 3.0) (/ (sqrt 1.0) 1))) 9)

prune3.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample6.9s

Algorithm
intervals
Results
4.8s27973×body80nan
1.4s9122×body80valid