Details

Time bar (total: 15.6s)

sample95.0ms

Algorithm
intervals
Results
45.0ms668×body80valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42268
55088
618988
done50008

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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:
26.0ms
(* (cosh x) (/ y x))
29.0ms
(/ (* (cosh x) (/ y x)) z)

series254.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(* (cosh x) (/ y x))
148.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.6s

Counts
70 → 70
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0141739
1354701
21584606
done5000600

prune348.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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:
17.0ms
(* (cosh x) y)
29.0ms
(/ (* (cosh x) y) (* z x))

series271.0ms

Counts
2 → 6
Calls
2 calls:
93.0ms
(* (cosh x) y)
178.0ms
(/ (* (cosh x) y) (* z x))

simplify1.1s

Counts
51 → 51
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
0106512
1284493
21551397
done5000397

prune233.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) y)
0.2b
(/ 1 (/ (* z x) (* (cosh x) y)))
5.1b
(/ (* z x) (* (cosh x) y))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
35×add-cbrt-cube
26×div-exp
23×times-frac
18×add-sqr-sqrt
17×prod-exp
16×add-cube-cbrt *-un-lft-identity
13×cbrt-undiv
9×cbrt-unprod
7×associate-/r*
6×pow1 cosh-def associate-*l/ associate-/r/ div-inv
5×rec-exp 1-exp
4×associate-/l*
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-flip pow-prod-down *-commutative inv-pow unswap-sqr
Counts
3 → 107
Calls
3 calls:
9.0ms
(* (cosh x) y)
27.0ms
(/ 1 (/ (* z x) (* (cosh x) y)))
22.0ms
(/ (* z x) (* (cosh x) y))

series524.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(* (cosh x) y)
232.0ms
(/ 1 (/ (* z x) (* (cosh x) y)))
209.0ms
(/ (* z x) (* (cosh x) y))

simplify2.4s

Counts
116 → 116
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01901546
15171374
229521152
done50011143

prune495.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (cosh x) z)
4.8b
(/ (/ (cosh x) z) (/ x y))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
430×times-frac
206×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
30×div-inv
16×add-exp-log associate-/r* add-cbrt-cube associate-/l*
9×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×cosh-def associate-/r/
Counts
2 → 247
Calls
2 calls:
14.0ms
(/ (cosh x) z)
31.0ms
(/ (/ (cosh x) z) (/ x y))

series358.0ms

Counts
2 → 6
Calls
2 calls:
116.0ms
(/ (cosh x) z)
243.0ms
(/ (/ (cosh x) z) (/ x y))

simplify919.0ms

Counts
253 → 253
Iterations

Useful iterations: done (904.0ms)

IterNodesCost
04784786
115604519
done50014368

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes216.0ms

Accuracy

95.2% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.9b

bsearch67.0ms

Steps
ItersRangePoint
2
2.2649220354496012e-52
2.5013218167764557e-52
2.471771844110599e-52
5
-1.1941517926520358e+22
-3.4477040080895885e+21
-3.7805197859341316e+21

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02448
13531
23631
done3631

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.9s22275×body80valid