Details

Time bar (total: 1.3m)

sample1.5s

Algorithm
intervals
Results
1.3s126×body10240exit
47.0ms259×body80valid
35.0ms35×body1280nan
29.0ms42×body640nan
6.0ms13×body320nan
3.0ms8×body160nan
1.0ms7×body80nan

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: 3 (206.0ms)

IterNodesCost
060123
1148123
2594121
3368688
done500088

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize54.0ms

Local error

Found 4 expressions with local error:

3.8b
(- (- 1.0 z) 1.0)
3.8b
(- (- 1.0 z) 1.0)
3.8b
(- (- 1.0 z) 1.0)
3.8b
(- (- 1.0 z) 1.0)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity
104×add-sqr-sqrt
96×prod-diff
64×add-cube-cbrt
44×associate--l+
28×distribute-lft-out--
24×add-log-exp
20×fma-neg difference-of-squares
12×diff-log
8×sub-neg
4×pow1 add-exp-log associate--l- expm1-log1p-u flip3-- add-cbrt-cube flip-- log1p-expm1-u
Counts
4 → 200
Calls
4 calls:
23.0ms
(- (- 1.0 z) 1.0)
23.0ms
(- (- 1.0 z) 1.0)
27.0ms
(- (- 1.0 z) 1.0)
23.0ms
(- (- 1.0 z) 1.0)

series50.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (- 1.0 z) 1.0)
11.0ms
(- (- 1.0 z) 1.0)
12.0ms
(- (- 1.0 z) 1.0)
15.0ms
(- (- 1.0 z) 1.0)

simplify1.6s

Counts
212 → 212
Iterations

Useful iterations: 3 (297.0ms)

IterNodesCost
0842848
11782152
25251500
323221012
done50001012

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 1.3b

localize48.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099))) (/ -176.6150291621406 (+ (- z) 4.0)))
1.0b
(/ (pow (+ 0.5 (+ (- z) 7.0)) (+ 0.5 (- z))) (exp (+ 0.5 (+ (- z) 7.0))))
1.0b
(sqrt (* PI 2.0))
1.5b
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))

rewrite5.2s

Algorithm
rewrite-expression-head
Rules
189×*-un-lft-identity
99×distribute-lft-out
62×times-frac
58×frac-add
54×add-log-exp
37×sum-log
30×unpow-prod-down
28×add-sqr-sqrt add-cube-cbrt
23×flip3-+ flip-+
22×fma-def
12×exp-sum
11×distribute-rgt-neg-in associate-/l*
7×pow1
6×add-exp-log add-cbrt-cube
5×unpow-prod-up sqr-pow
4×expm1-log1p-u associate-/r* log1p-expm1-u
3×div-exp associate-/l/ pow-sub
2×+-commutative neg-sub0 associate-+r- associate-+l+ sqrt-pow1
1×cbrt-undiv pow-to-exp associate-+l- associate-+r+ frac-2neg pow1/2 exp-diff unsub-neg pow-prod-down pow-exp clear-num sqrt-prod associate-/r/ div-inv
Counts
4 → 193
Calls
4 calls:
4.2s
(+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099))) (/ -176.6150291621406 (+ (- z) 4.0)))
181.0ms
(/ (pow (+ 0.5 (+ (- z) 7.0)) (+ 0.5 (- z))) (exp (+ 0.5 (+ (- z) 7.0))))
2.0ms
(sqrt (* PI 2.0))
773.0ms
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))

series397.0ms

Counts
4 → 10
Calls
4 calls:
129.0ms
(+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099))) (/ -176.6150291621406 (+ (- z) 4.0)))
163.0ms
(/ (pow (+ 0.5 (+ (- z) 7.0)) (+ 0.5 (- z))) (exp (+ 0.5 (+ (- z) 7.0))))
0.0ms
(sqrt (* PI 2.0))
104.0ms
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))

simplify455.0ms

Counts
203 → 203
Iterations

Useful iterations: done (441.0ms)

IterNodesCost
04729531
115278039
done50027746

prune1.7s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (* PI 2.0))
1.5b
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))
1.5b
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))
1.5b
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
220×*-un-lft-identity
111×distribute-lft-out
67×add-log-exp
66×frac-add
54×times-frac
45×sum-log
39×fma-def
33×flip3-+ flip-+
18×distribute-rgt-neg-in
7×pow1 add-sqr-sqrt add-cube-cbrt
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×+-commutative associate-+l+ associate-+r+
2×sqrt-pow1
1×pow1/2 pow-prod-down sqrt-prod
Counts
4 → 166
Calls
4 calls:
2.0ms
(sqrt (* PI 2.0))
769.0ms
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))
767.0ms
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))
769.0ms
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))

series324.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(sqrt (* PI 2.0))
106.0ms
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))
112.0ms
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))
106.0ms
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))

simplify763.0ms

Counts
176 → 176
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
01868293
16747086
229726673
done50016673

prune1.9s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.2b

localize58.0ms

Local error

Found 4 expressions with local error:

1.0b
(+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099))) (/ -176.6150291621406 (+ (- z) 4.0)))
1.0b
(* (/ 1 (sqrt (exp (+ (- 0.5 z) 7.0)))) (/ (pow (+ (- 0.5 z) 7.0) (- 0.5 z)) (sqrt (exp (+ (- 0.5 z) 7.0)))))
1.0b
(sqrt (* PI 2.0))
1.5b
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))

rewrite5.6s

Algorithm
rewrite-expression-head
Rules
287×*-un-lft-identity
237×times-frac
221×add-sqr-sqrt
145×associate-*r*
122×sqrt-prod
117×add-cube-cbrt
88×distribute-lft-out
77×unpow-prod-up
63×prod-diff
58×frac-add
54×add-log-exp
48×add-exp-log
45×unpow-prod-down
37×sum-log
35×unswap-sqr
26×associate-*l*
23×flip3-+ exp-sum flip-+
22×fma-def
20×div-exp
17×sqr-pow
16×prod-exp add-cbrt-cube
9×pow1
7×sub-neg distribute-lft-out--
6×distribute-rgt-neg-in
4×cbrt-undiv expm1-log1p-u pow-to-exp rec-exp 1-exp pow-exp cbrt-unprod log1p-expm1-u
2×+-commutative associate-+l- associate-+l+ sqrt-pow1 exp-diff sqrt-div pow-prod-down associate-/r/ div-inv
1×frac-times associate-+r+ pow1/2 associate-*r/ associate-*l/ *-commutative
Counts
4 → 354
Calls
4 calls:
4.3s
(+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099))) (/ -176.6150291621406 (+ (- z) 4.0)))
548.0ms
(* (/ 1 (sqrt (exp (+ (- 0.5 z) 7.0)))) (/ (pow (+ (- 0.5 z) 7.0) (- 0.5 z)) (sqrt (exp (+ (- 0.5 z) 7.0)))))
2.0ms
(sqrt (* PI 2.0))
769.0ms
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))

series416.0ms

Counts
4 → 10
Calls
4 calls:
128.0ms
(+ (+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099))) (/ -176.6150291621406 (+ (- z) 4.0)))
173.0ms
(* (/ 1 (sqrt (exp (+ (- 0.5 z) 7.0)))) (/ (pow (+ (- 0.5 z) 7.0) (- 0.5 z)) (sqrt (exp (+ (- 0.5 z) 7.0)))))
0.0ms
(sqrt (* PI 2.0))
114.0ms
(+ (+ (/ -0.13857109526572012 (+ 6.0 (- z))) (/ -1259.1392167224028 (+ (- z) 2.0))) (+ (/ 676.5203681218851 (- 1.0 z)) (+ (/ 771.3234287776531 (+ 3.0 (- z))) 0.9999999999998099)))

simplify745.0ms

Counts
364 → 364
Iterations

Useful iterations: done (724.0ms)

IterNodesCost
073015819
1247813966
done500112934

prune3.1s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.1b

regimes266.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
060148
181148
done81148

end0.0ms

sample46.0s

Algorithm
intervals
Results
41.1s3916×body10240exit
1.5s1486×body1280nan
1.5s8078×body80valid
873.0ms1234×body640nan
316.0ms640×body320nan
93.0ms281×body160nan
52.0ms293×body80nan