Details

Time bar (total: 21.5s)

sample124.0ms

Algorithm
intervals
Results
53.0ms979×body80nan
17.0ms293×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
62429
51149
4547
3208
276
127
013

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.1b
(fma (/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand 1.0)
0.1b
(* (fma (/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand 1.0) (- a (/ 1.0 3.0)))
0.3b
(/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

rewrite111.0ms

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*
5×sqrt-prod
4×expm1-log1p-u associate-/r* sqrt-div associate-*l/ log1p-expm1-u add-log-exp
3×flip3-- associate-*l* flip-- associate-/l*
2×sub-neg sqrt-pow1 pow-prod-down associate-*r/ 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 → 167
Calls
4 calls:
11.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.0ms
(fma (/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand 1.0)
62.0ms
(* (fma (/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand 1.0) (- a (/ 1.0 3.0)))
25.0ms
(/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

series667.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
224.0ms
(fma (/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand 1.0)
182.0ms
(* (fma (/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0))) rand 1.0) (- a (/ 1.0 3.0)))
173.0ms
(/ 1.0 (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

simplify2.0s

Counts
179 → 179
Iterations
IterNodes
done5000
24556
1991
0453

prune789.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) 9.0)
0.1b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.1b
(* (+ (/ (* rand 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1.0) (- a (/ 1.0 3.0)))
0.2b
(/ (* rand 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

rewrite356.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
84×*-un-lft-identity
78×prod-diff add-cube-cbrt
60×times-frac
41×distribute-rgt-in distribute-lft-in
13×add-cbrt-cube add-exp-log
11×pow1
10×associate-*l*
9×associate-*r*
8×associate-*l/
7×div-inv
6×flip3-- flip--
4×expm1-log1p-u frac-times associate-/r* sqrt-div log1p-expm1-u add-log-exp difference-of-squares
3×flip3-+ pow-prod-down prod-exp sqrt-prod cbrt-unprod flip-+
2×cbrt-undiv sub-neg sqrt-pow1 div-exp associate-*r/ associate-/r/ *-commutative distribute-lft-out-- unswap-sqr
1×clear-num frac-2neg pow1/2 distribute-lft-out associate-/l*
Counts
4 → 181
Calls
4 calls:
60.0ms
(* (- a (/ 1.0 3.0)) 9.0)
23.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
238.0ms
(* (+ (/ (* rand 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1.0) (- a (/ 1.0 3.0)))
24.0ms
(/ (* rand 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

series574.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (- a (/ 1.0 3.0)) 9.0)
96.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
142.0ms
(* (+ (/ (* rand 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1.0) (- a (/ 1.0 3.0)))
275.0ms
(/ (* rand 1.0) (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

simplify835.0ms

Counts
193 → 193
Iterations
IterNodes
done5002
11567
0485

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1.0 (cbrt 3.0))
1.0b
(/ 1.0 (cbrt 3.0))
1.0b
(/ 1.0 (cbrt 3.0))
61.9b
(fma (/ 1.0 (cbrt 3.0)) (/ -1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
49×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
36×cbrt-prod
18×associate-/r*
10×add-exp-log
9×associate-/l*
7×add-cbrt-cube
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
3×cbrt-undiv clear-num frac-2neg div-exp div-inv
1×fma-udef
Counts
4 → 133
Calls
4 calls:
4.0ms
(/ 1.0 (cbrt 3.0))
5.0ms
(/ 1.0 (cbrt 3.0))
5.0ms
(/ 1.0 (cbrt 3.0))
0.0ms
(fma (/ 1.0 (cbrt 3.0)) (/ -1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))))

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ 1.0 (cbrt 3.0))
0.0ms
(/ 1.0 (cbrt 3.0))
0.0ms
(/ 1.0 (cbrt 3.0))
0.0ms
(fma (/ 1.0 (cbrt 3.0)) (/ -1 (* (cbrt 3.0) (cbrt 3.0))) (/ (/ 1.0 (cbrt 3.0)) (* (cbrt 3.0) (cbrt 3.0))))

simplify1.0s

Counts
137 → 137
Iterations
IterNodes
done5001
31863
2451
1174
098

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.1b
(* (+ (/ (/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1.0) (- a (/ 1.0 3.0)))
0.3b
(/ (/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
0.3b
(/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0))))

rewrite635.0ms

Algorithm
rewrite-expression-head
Rules
227×times-frac
190×add-sqr-sqrt
156×*-un-lft-identity
132×add-cube-cbrt
108×sqrt-prod
78×prod-diff
41×distribute-rgt-in distribute-lft-in
22×difference-of-squares
20×add-cbrt-cube add-exp-log
18×sqrt-div
16×associate-/r/ associate-/l*
15×associate-/r* div-inv
12×flip3-- flip--
11×distribute-lft-out--
7×pow1 cbrt-undiv div-exp
6×associate-*r*
4×expm1-log1p-u frac-times associate-*l* log1p-expm1-u add-log-exp
3×flip3-+ prod-exp cbrt-unprod flip-+
2×clear-num sub-neg frac-2neg associate-*l/ associate-*r/
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down *-commutative distribute-lft-out unswap-sqr associate-/l/
Counts
4 → 301
Calls
4 calls:
25.0ms
(sqrt (- a (/ 1.0 3.0)))
488.0ms
(* (+ (/ (/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1.0) (- a (/ 1.0 3.0)))
58.0ms
(/ (/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
43.0ms
(/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0))))

series635.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (- a (/ 1.0 3.0)))
156.0ms
(* (+ (/ (/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1.0) (- a (/ 1.0 3.0)))
301.0ms
(/ (/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
137.0ms
(/ (* 1.0 rand) (sqrt (- a (/ 1.0 3.0))))

simplify1.0s

Counts
313 → 313
Iterations
IterNodes
done5000
11966
0637

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes205.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done22
122
016

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.4s27152×body80nan
1.4s9133×body80valid