Details

Time bar (total: 12.6s)

sample60.0ms

Algorithm
intervals
Results
28.0ms645×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42268
55088
618988
done50008

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
6.2b
(/ (* (cosh x) (/ y x)) z)

rewrite44.0ms

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:
25.0ms
(* (cosh x) (/ y x))
14.0ms
(/ (* (cosh x) (/ y x)) z)

series235.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(* (cosh x) (/ y x))
143.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.2s

Counts
70 → 70
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0141739
1354701
21584606
done5000600

prune197.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) y)
5.2b
(/ (* (cosh x) y) (* z x))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
6×add-sqr-sqrt
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
3×associate-*r* associate-*l*
2×expm1-log1p-u cosh-def associate-*l/ log1p-expm1-u add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
2 → 45
Calls
2 calls:
9.0ms
(* (cosh x) y)
20.0ms
(/ (* (cosh x) y) (* z x))

series249.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(* (cosh x) y)
146.0ms
(/ (* (cosh x) y) (* z x))

simplify850.0ms

Counts
51 → 51
Iterations

Useful iterations: 2 (265.0ms)

IterNodesCost
0106512
1284493
21551397
done5000397

prune156.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.3b
(/ 1 (* z x))
5.4b
(* (* (cosh x) y) (/ 1 (* z x)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
13×pow1 cbrt-unprod
12×div-exp
11×add-sqr-sqrt
10×associate-*r*
9×add-cube-cbrt *-un-lft-identity
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* associate-*l/
3×expm1-log1p-u cosh-def log1p-expm1-u associate-/l* add-log-exp
2×pow-flip *-commutative div-inv
1×frac-times frac-2neg associate-*r/ clear-num associate-/r* un-div-inv inv-pow unswap-sqr
Counts
3 → 95
Calls
3 calls:
15.0ms
(* (cosh x) y)
21.0ms
(/ 1 (* z x))
79.0ms
(* (* (cosh x) y) (/ 1 (* z x)))

series287.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(* (cosh x) y)
11.0ms
(/ 1 (* z x))
174.0ms
(* (* (cosh x) y) (/ 1 (* z x)))

simplify2.0s

Counts
104 → 104
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01561073
1437953
22743754
done5001742

prune273.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ (* 1/2 (+ (exp x) (exp (- x)))) (/ (* z x) y))
5.2b
(/ (* z x) y)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
16×times-frac
12×cbrt-undiv div-exp
10×associate-/r*
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×prod-exp cbrt-unprod
4×div-inv
2×pow1 expm1-log1p-u frac-2neg associate-*r/ clear-num log1p-expm1-u associate-/l/ associate-/l* add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 65
Calls
2 calls:
30.0ms
(/ (* 1/2 (+ (exp x) (exp (- x)))) (/ (* z x) y))
11.0ms
(/ (* z x) y)

series180.0ms

Counts
2 → 6
Calls
2 calls:
156.0ms
(/ (* 1/2 (+ (exp x) (exp (- x)))) (/ (* z x) y))
23.0ms
(/ (* z x) y)

simplify1.9s

Counts
71 → 71
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01401118
14481062
22987878
done5001858

prune270.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes212.0ms

Accuracy

94.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.8b

bsearch161.0ms

Steps
ItersRangePoint
7
1.5430412300701343e+44
1.5993558050780038e+46
2.46426193571009e+44
9
-946583495806.6038
-911936.9907706906
-813868602.6837567

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02442
13533
done3533

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.6s22346×body80valid