Details

Time bar (total: 13.4s)

sample63.0ms

Algorithm
intervals
Results
35.0ms692×body80valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done5000
61941
5509
4226
3102
241
118
07

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.3b
(/ (* (cosh x) (/ y x)) z)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
13×times-frac associate-*r*
12×*-un-lft-identity add-cube-cbrt
5×cbrt-undiv div-exp
4×pow1 cosh-def prod-exp cbrt-unprod
3×associate-/r* associate-*l* associate-/l/
2×expm1-log1p-u frac-times associate-*l/ associate-*r/ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l*
Counts
2 → 64
Calls
2 calls:
11.0ms
(* (cosh x) (/ y x))
10.0ms
(/ (* (cosh x) (/ y x)) z)

series230.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(* (cosh x) (/ y x))
137.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.1s

Counts
70 → 70
Iterations
IterNodes
done5000
21549
1354
0141

prune353.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (+ (exp x) (exp (- x))) y)
6.0b
(/ (* (+ (exp x) (exp (- x))) y) (* (* z 2) x))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
26×add-cbrt-cube add-exp-log
10×*-un-lft-identity prod-exp cbrt-unprod
8×add-sqr-sqrt
6×cbrt-undiv div-exp add-cube-cbrt
5×pow1 add-log-exp
4×associate-*l* associate-*l/
3×expm1-log1p-u fma-def flip3-+ associate-*r* flip-+ log1p-expm1-u
2×distribute-lft-out associate-/l/
1×+-commutative clear-num associate-/r* sum-log frac-2neg times-frac pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 69
Calls
3 calls:
10.0ms
(+ (exp x) (exp (- x)))
57.0ms
(* (+ (exp x) (exp (- x))) y)
28.0ms
(/ (* (+ (exp x) (exp (- x))) y) (* (* z 2) x))

series256.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(+ (exp x) (exp (- x)))
87.0ms
(* (+ (exp x) (exp (- x))) y)
130.0ms
(/ (* (+ (exp x) (exp (- x))) y) (* (* z 2) x))

simplify1.6s

Counts
78 → 78
Iterations
IterNodes
done5000
23013
1448
0144

prune472.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (exp (- x)) 3)
0.3b
(/ (* y (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
6.0b
(/ (/ (* y (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (* (* z 2) x))
8.2b
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

rewrite779.0ms

Algorithm
rewrite-expression-head
Rules
59×exp-neg
46×add-cbrt-cube
45×add-exp-log
42×associate-*r/
39×neg-sub0 exp-diff
27×frac-sub
20×un-div-inv
18×times-frac
17×cbrt-undiv div-exp
16×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×sub-div
13×prod-exp cbrt-unprod
12×frac-times associate-*l/
11×pow-pow
10×exp-prod associate-/l*
6×associate-/r/ add-log-exp
5×pow1
4×expm1-log1p-u associate-/r* flip3-+ flip-+ log1p-expm1-u div-inv
3×distribute-lft-neg-in pow-unpow unpow-prod-down distribute-rgt-neg-in cube-prod associate-/l/
2×cube-div clear-num frac-2neg
1×cube-mult pow-to-exp neg-mul-1 sub-neg flip3-- distribute-rgt-out-- fma-neg diff-log unpow3 prod-diff pow-exp flip-- rem-cube-cbrt sqr-pow
Counts
4 → 173
Calls
4 calls:
13.0ms
(pow (exp (- x)) 3)
322.0ms
(/ (* y (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
384.0ms
(/ (/ (* y (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (* (* z 2) x))
48.0ms
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

series1.0s

Counts
4 → 12
Calls
4 calls:
30.0ms
(pow (exp (- x)) 3)
377.0ms
(/ (* y (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))))
515.0ms
(/ (/ (* y (+ (pow (exp x) 3) (pow (exp (- x)) 3))) (+ (* (exp x) (exp x)) (- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x)))))) (* (* z 2) x))
81.0ms
(- (* (exp (- x)) (exp (- x))) (* (exp x) (exp (- x))))

simplify739.0ms

Counts
185 → 185
Iterations
IterNodes
done5000
11245
0351

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp x) (exp (- x)))
0.0b
(* (+ (exp x) (exp (- x))) y)
0.2b
(/ (/ 1/2 z) x)
6.8b
(* (* (+ (exp x) (exp (- x))) y) (/ (/ 1/2 z) x))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
84×add-cube-cbrt
46×associate-*r*
32×add-cbrt-cube add-exp-log
13×associate-/l*
11×pow1
10×prod-exp cbrt-unprod
9×cbrt-undiv div-exp div-inv
8×associate-*l/
6×add-log-exp
5×associate-*l*
4×expm1-log1p-u flip3-+ pow-prod-down flip-+ log1p-expm1-u
3×associate-/r* fma-def
2×frac-times *-commutative distribute-lft-out
1×+-commutative clear-num sum-log frac-2neg associate-*r/ unswap-sqr associate-/l/
Counts
4 → 185
Calls
4 calls:
19.0ms
(+ (exp x) (exp (- x)))
65.0ms
(* (+ (exp x) (exp (- x))) y)
15.0ms
(/ (/ 1/2 z) x)
81.0ms
(* (* (+ (exp x) (exp (- x))) y) (/ (/ 1/2 z) x))

series249.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (exp x) (exp (- x)))
69.0ms
(* (+ (exp x) (exp (- x))) y)
32.0ms
(/ (/ 1/2 z) x)
123.0ms
(* (* (+ (exp x) (exp (- x))) y) (/ (/ 1/2 z) x))

simplify424.0ms

Counts
197 → 197
Iterations
IterNodes
done5000
1949
0307

prune991.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes290.0ms

Accuracy

92% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 6.8b

bsearch76.0ms

Steps
ItersRangePoint
10
2.1057042201319657e-73
6.441305541861675e-61
5.764064057561761e-61
3
-3.8056990057746655e+20
-2.6703146002526768e+20
-2.8031160556023182e+20

simplify4.0ms

Iterations
IterNodes
done47
147
037

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.2s22534×body80valid