Details

Time bar (total: 11.8s)

sample83.0ms

Algorithm
intervals
Results
43.0ms765×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1188
2418
31028
42268
55088
618988
done50008

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) (/ y x))
7.8b
(/ (* (cosh x) (/ y x)) z)

rewrite61.0ms

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:
30.0ms
(* (cosh x) (/ y x))
29.0ms
(/ (* (cosh x) (/ y x)) z)

series232.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(* (cosh x) (/ y x))
140.0ms
(/ (* (cosh x) (/ y x)) z)

simplify1.2s

Counts
70 → 70
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0141739
1354701
21584606
done5000600

prune229.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (cosh x) y)
6.8b
(/ (* (cosh x) y) (* z x))

rewrite25.0ms

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)
15.0ms
(/ (* (cosh x) y) (* z x))

series259.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (cosh x) y)
173.0ms
(/ (* (cosh x) y) (* z x))

simplify967.0ms

Counts
51 → 51
Iterations

Useful iterations: 2 (254.0ms)

IterNodesCost
0106512
1284493
21551397
done5000397

prune149.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* (cosh x) y) z)
0.0b
(* (cosh x) y)
5.0b
(/ (/ (* (cosh x) y) z) x)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
8×associate-/l*
7×cbrt-undiv div-exp
6×associate-/r* div-inv
5×pow1
3×expm1-log1p-u associate-*r* associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×cosh-def frac-2neg associate-*l/ clear-num associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
3 → 95
Calls
3 calls:
11.0ms
(/ (* (cosh x) y) z)
9.0ms
(* (cosh x) y)
14.0ms
(/ (/ (* (cosh x) y) z) x)

series320.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(/ (* (cosh x) y) z)
71.0ms
(* (cosh x) y)
147.0ms
(/ (/ (* (cosh x) y) z) x)

simplify1.2s

Counts
104 → 104
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01801153
14451102
222761003
done5001989

prune291.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (cosh x) y) z)
0.0b
(* (cosh x) y)
0.4b
(/ 1 (/ x (/ (* (cosh x) y) z)))
4.9b
(/ x (/ (* (cosh x) y) z))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
109×add-sqr-sqrt
107×add-cube-cbrt *-un-lft-identity
54×add-exp-log
36×associate-/r*
34×add-cbrt-cube
30×div-exp
23×div-inv
16×cbrt-undiv
7×pow1 associate-/l*
6×prod-exp associate-/r/
4×expm1-log1p-u rec-exp 1-exp cbrt-unprod log1p-expm1-u add-log-exp
3×frac-2neg associate-*r* associate-*l* clear-num
2×cosh-def associate-*l/
1×pow-flip pow-prod-down *-commutative associate-/l/ inv-pow unswap-sqr
Counts
4 → 233
Calls
4 calls:
11.0ms
(/ (* (cosh x) y) z)
8.0ms
(* (cosh x) y)
31.0ms
(/ 1 (/ x (/ (* (cosh x) y) z)))
25.0ms
(/ x (/ (* (cosh x) y) z))

series567.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(/ (* (cosh x) y) z)
99.0ms
(* (cosh x) y)
165.0ms
(/ 1 (/ x (/ (* (cosh x) y) z)))
182.0ms
(/ x (/ (* (cosh x) y) z))

simplify718.0ms

Counts
245 → 245
Iterations

Useful iterations: done (709.0ms)

IterNodesCost
03743799
110313324
done50013143

prune647.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes121.0ms

Accuracy

94.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.4b

bsearch144.0ms

Steps
ItersRangePoint
8
8.112958948170555e+71
3.686404433074209e+75
1.0964974733254288e+72
8
-6.160300464959826e-07
-4.233438326506381e-10
-1.1501230783055514e-08

simplify5.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01532
12025
done2025

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.8s22669×body80valid