Details

Time bar (total: 19.4s)

sample101.0ms

Algorithm
intervals
Results
49.0ms741×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42268
55088
618988
done50008

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.8b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
8.2b
(/ (* (cosh x) (/ y x)) z)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-exp-log add-cbrt-cube
13×times-frac associate-*r*
12×add-cube-cbrt *-un-lft-identity
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-*l* associate-/r* associate-/l/
2×expm1-log1p-u frac-times associate-*r/ associate-*l/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
33.0ms
(* (cosh x) (/ y x))
25.0ms
(/ (* (cosh x) (/ y x)) z)

series353.0ms

Counts
2 → 6
Calls
2 calls:
136.0ms
(* (cosh x) (/ y x))
217.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.6s

Counts
70 → 70
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0141739
1354701
21584606
done5000600

prune444.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (exp x) (exp (- x))) y)
8.1b
(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
10×prod-exp cbrt-unprod
6×cbrt-undiv add-sqr-sqrt *-un-lft-identity div-exp
4×pow1 add-cube-cbrt associate-*l* associate-*l/
3×associate-*r*
2×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 52
Calls
2 calls:
81.0ms
(* (+ (exp x) (exp (- x))) y)
67.0ms
(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

series700.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(* (+ (exp x) (exp (- x))) y)
604.0ms
(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

simplify2.4s

Counts
58 → 58
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0132987
1421941
22757725
done5002722

prune431.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ (exp x) (exp (- x))) y)
0.0b
(/ (* (+ (exp x) (exp (- x))) y) z)
7.2b
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log add-cbrt-cube
16×times-frac
13×add-sqr-sqrt *-un-lft-identity
12×cbrt-undiv div-exp
11×add-cube-cbrt
8×associate-/l*
7×prod-exp cbrt-unprod
5×pow1
4×associate-*l* associate-*l/ associate-/r* div-inv
3×expm1-log1p-u associate-*r* log1p-expm1-u associate-/l/ add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×pow-prod-down *-commutative distribute-lft-out unswap-sqr
Counts
3 → 88
Calls
3 calls:
83.0ms
(* (+ (exp x) (exp (- x))) y)
40.0ms
(/ (* (+ (exp x) (exp (- x))) y) z)
55.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series373.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(* (+ (exp x) (exp (- x))) y)
116.0ms
(/ (* (+ (exp x) (exp (- x))) y) z)
165.0ms
(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify2.2s

Counts
97 → 97
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01771541
14981473
227661216
done50011213

prune659.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 1 expressions with local error:

8.3b
(* (/ (+ (exp x) (exp (- x))) z) (/ y (* 2 x)))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
17×*-un-lft-identity
16×add-sqr-sqrt times-frac associate-*l*
11×add-cube-cbrt
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*r*
3×pow1 distribute-lft-out
2×div-inv unswap-sqr
1×expm1-log1p-u frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 51
Calls
1 calls:
129.0ms
(* (/ (+ (exp x) (exp (- x))) z) (/ y (* 2 x)))

series220.0ms

Counts
1 → 3
Calls
1 calls:
220.0ms
(* (/ (+ (exp x) (exp (- x))) z) (/ y (* 2 x)))

simplify2.4s

Counts
54 → 54
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01291039
13941010
22193836
done5000819

prune372.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes435.0ms

Accuracy

94.1% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.7b

bsearch87.0ms

Steps
ItersRangePoint
3
1368294241.5238848
1832337247.2133412
1397296929.3794756
4
-1.9285084009361697e+50
-1.317008346704399e+50
-1.3352148123811325e+50

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02050
12737
done2737

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.6s22508×body80valid